<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Archiving and Interchange DTD v2.3 20070202//EN" "archivearticle.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="systematic-review" dtd-version="2.3" xml:lang="EN">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2024.1463359</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Systematic Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The influence of parental involvement on students&#x2019; math performance: a meta-analysis</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Wang</surname> <given-names>Xueshen</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref rid="fn00001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2786869/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Wei</surname> <given-names>Yun</given-names></name>
<xref rid="fn00001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff><institution>Faculty of Education, Languages, Psychology &#x0026; Music, SEGi University</institution>, <addr-line>Kota Damansara</addr-line>, <country>Malaysia</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Ann Dowker, University of Oxford, United Kingdom</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Zhuoying Wang, The University of Texas at Austin, United States</p>
<p>Rita Panaoura, Frederick University, Cyprus</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Xueshen Wang, <email>wangxuejj1@163.com</email></corresp>
<fn id="fn00001" fn-type="equal"><p><sup>&#x2020;</sup>These authors share first authorship</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1463359</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>07</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Wang and Wei.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang and Wei</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Many studies have confirmed that parental involvement can affect students&#x2019; academic performance, but few focus on the influence of parental involvement on students&#x2019; math performance by using meta-analysis. This meta-analysis investigates the influence of parental involvement on students&#x2019; math performance, along with their moderators.</p>
</sec>
<sec>
<title>Methods</title>
<p>Through searching Google Scholar, ERIC, EBSCO, Web of Science and ProQuest databases, a total of 25 empirical studies between 2015 to 2024 were published and 42 independent effect sizes were included. The estimation of effect size was obtained by converting the Fisher&#x2019;s correlation coefficient and investigating the publication bias that affects meta-analysis studies. This study also conducted heterogeneity tests of the magnitudes grouped according to different moderators.</p>
</sec>
<sec>
<title>Results and discussion</title>
<p>The results found parental involvement to had a significantly positive influence on the math performance of students. The analysis of moderating variables found participant, involvement type, grade level, geographical region, and evaluation content all had moderating effects. Finally, the research findings were discussed and suggestions were provided for how parents can be more effectively involved in students&#x2019; mathematical learning.</p>
</sec>
</abstract>
<kwd-group>
<kwd>parental involvement</kwd>
<kwd>students</kwd>
<kwd>math performance</kwd>
<kwd>influence</kwd>
<kwd>meta-analysis</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="84"/>
<page-count count="14"/>
<word-count count="9115"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Educational Psychology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Parental involvement is an important factor that affects the academic performance of students and significant attention has been paid to it by many scholars (<xref ref-type="bibr" rid="ref56">Otani, 2020</xref>; <xref ref-type="bibr" rid="ref54">Olivar and Naparan, 2023</xref>). <xref ref-type="bibr" rid="ref22">Epstein et al. (2018)</xref> stated that parental involvement includes various forms, and different forms of involvement are interrelated, aimed at promoting students&#x2019; learning and development. In comparison to other subjects, many students face greater difficulties and pressure to learn mathematics (<xref ref-type="bibr" rid="ref64">Rameli and Kosnin, 2016</xref>; <xref ref-type="bibr" rid="ref88">Waswa and Al-kassab, 2022</xref>). To help their children achieve better performance in math learning, parents should be encouraged to be more involved in their mathematical learning, including helping them with homework, communicating with schools and teachers, and providing them with learning support and expectations (<xref ref-type="bibr" rid="ref65">Rodr&#x00ED;guez Mart&#x00ED;nez et al., 2017</xref>; <xref ref-type="bibr" rid="ref37">Jay et al., 2018</xref>).</p>
<p>Several studies have shown parental involvement to have an influence on the math performance of students, but the conclusions researchers have reached regarding whether this effect is positive or negative are inconsistent (<xref ref-type="bibr" rid="ref75">Silinskas and Kikas, 2019</xref>; <xref ref-type="bibr" rid="ref58">Panaoura, 2021</xref>). Some researchers have stated that parental involvement positively influences the math performance of students (<xref ref-type="bibr" rid="ref20">Enih, 2018</xref>; <xref ref-type="bibr" rid="ref52">Moon, 2020</xref>; <xref ref-type="bibr" rid="ref43">Koepp et al., 2022</xref>), while others have argued that it has a negative influence (<xref ref-type="bibr" rid="ref85">Viljaranta et al., 2018</xref>; <xref ref-type="bibr" rid="ref3">Abu Bakar et al., 2021</xref>; <xref ref-type="bibr" rid="ref59">Park et al., 2023</xref>). <xref ref-type="bibr" rid="ref27">Fiskerstrand (2022)</xref> argued that it is necessary to conduct a meta-analysis on the influence of parental involvement on students&#x2019; math performance. Therefore, a meta-analysis on the influence of parental involvement on the math performance of students is conducted in this study with the aim of answering the following questions:</p>
<list list-type="order">
<list-item>
<p>What is the influence of parental involvement on students&#x2019; math performance?</p>
</list-item>
<list-item>
<p>Whether the influence of parental involvement on students&#x2019; math performance is moderated by a variety of variables?</p>
</list-item>
</list>
<sec id="sec2">
<label>1.1</label>
<title>Parental involvement and students&#x2019; math performance</title>
<p>The effects of parental involvement on students&#x2019; math performance is influenced by various factors, such as the involvement type and parental expectations (<xref ref-type="bibr" rid="ref35">Huang et al., 2021</xref>; <xref ref-type="bibr" rid="ref83">Tang and Tran, 2023</xref>). Therefore, it is necessary to clarify the factors that affect the effects of parental involvement on students&#x2019; math performance, rather than simply focusing on the quantity and frequency of parental involvement.</p>
<p>The Self-Determination Theory (SDT) provided a valuable theoretical framework for understanding how parental involvement influenced students&#x2019; math performance. According to SDT, parental involvement can be divided into positive involvement and negative involvement. Positive parental involvement emphasis on cultivating students&#x2019; autonomy in learning and can enhance their intrinsic motivation and learning engagement. When parents provide autonomy support for their children&#x2019;s learning, it will have a positive influence on students&#x2019; academic performance and cultivate their self-efficacy (<xref ref-type="bibr" rid="ref41">Joussemet et al., 2008</xref>; <xref ref-type="bibr" rid="ref25">Feng et al., 2019</xref>). On the contrary, excessive control brought about by negative parental involvement can undermine students&#x2019; learning autonomy, leading to their inability to truly participate and grasp their own learning, thereby having a negative influence on their academic performance (<xref ref-type="bibr" rid="ref91">Xu et al., 2018</xref>; <xref ref-type="bibr" rid="ref75">Silinskas and Kikas, 2019</xref>).</p>
<p>In addition, SDT emphasized that students need to feel connected and supported by others. Parental involvement can cultivate strong emotional bonds and enhance students&#x2019; sense of belonging, which is crucial for their motivation and engagement in learning (<xref ref-type="bibr" rid="ref69">Ryan and Deci, 2000</xref>; <xref ref-type="bibr" rid="ref42">Klein, 2019</xref>). When parents actively participate in their children&#x2019;s education while maintaining a supportive relationship, it can improve academic performance of students.</p>
</sec>
<sec id="sec3">
<label>1.2</label>
<title>Type of parental involvement</title>
<p>There has long been a lack of a unified concept regarding the definition of parental involvement (<xref ref-type="bibr" rid="ref24">Fan and Chen, 2001</xref>). <xref ref-type="bibr" rid="ref9003">Grolnick and Slowiaczek (1994)</xref> argued that parental involvement refers to the resources parents invest in their children in a specific field. <xref ref-type="bibr" rid="ref47">LaRocque et al. (2011)</xref> suggested that it refers to the behavior of parents in the family and school environment as they aim to support the progress of their children in learning. <xref ref-type="bibr" rid="ref21">Epstein (2004)</xref> pointed out that parental involvement includes six key types: parenting, communication, volunteer service, home-based learning, decision-making, and community collaboration. Generally, parental involvement refers to a situation in which parents participate in the education of their children directly.</p>
<p>Some researchers have focused on the influence of general parental involvement on student math performance in previous studies, while others have focused on the influence different types of parental involvement have on it, such as providing support and expectations for their children during the education process, actively participating in school activities, and helping their children with homework (<xref ref-type="bibr" rid="ref9005">Hill and Tyson, 2009</xref>; <xref ref-type="bibr" rid="ref39">Jeynes, 2012</xref>; <xref ref-type="bibr" rid="ref84">Veas et al., 2019</xref>). The influence different types of parental involvement have on the math performance of students is not consistent (<xref ref-type="bibr" rid="ref29">Froiland and Davison, 2016</xref>; <xref ref-type="bibr" rid="ref1">Abah et al., 2018</xref>; <xref ref-type="bibr" rid="ref85">Viljaranta et al., 2018</xref>; <xref ref-type="bibr" rid="ref17">Curtis et al., 2021</xref>; <xref ref-type="bibr" rid="ref5">Alam and Dub&#x00E9;, 2023</xref>; <xref ref-type="bibr" rid="ref59">Park et al., 2023</xref>), so this study uses type of parental involvement as a potential moderating variable.</p>
</sec>
<sec id="sec4">
<label>1.3</label>
<title>Participant</title>
<p>In terms of the influence of parental involvement on the academic performance of students, the majority of people tend to consider it from the perspective of the mother (<xref ref-type="bibr" rid="ref9006">Hindman and Morrison, 2012</xref>; <xref ref-type="bibr" rid="ref61">Powell et al., 2012</xref>). In recent years, as the status of women has improved and attitudes have changed, a growing number of fathers have become involved in the education of their children (<xref ref-type="bibr" rid="ref15">Clark, 2005</xref>). There is currently no consensus regarding whether or not there is a difference between paternal and maternal involvement. Fathers generally spend more time interacting with their children rather than being involved in other guardianship activities such as feeding or taking care of them (<xref ref-type="bibr" rid="ref16">Craig, 2006</xref>). In comparison to mothers, fathers exhibit less stimulation when interacting with their children (<xref ref-type="bibr" rid="ref11">Belsky et al., 1984</xref>). When a mother shows below-average support, the support provided by the father may be particularly important for the child (<xref ref-type="bibr" rid="ref50">Martin et al., 2010</xref>). Therefore, this study identifies participant as a potential moderating variable.</p>
</sec>
<sec id="sec5">
<label>1.4</label>
<title>Grade level</title>
<p><xref ref-type="bibr" rid="ref78">Skaliotis (2010)</xref> noted that the grade level of a student can regulate the relationship between parental involvement and their academic performance. From the perspective of cognitive psychology, many studies emphasized that parental involvement and family learning environment can significantly affect students&#x2019; cognitive development and academic performance (<xref ref-type="bibr" rid="ref46">Landry, 2008</xref>; <xref ref-type="bibr" rid="ref68">Roy and Giraldo-Garc&#x00ED;a, 2018</xref>). The types of parental involvement change with the age and cognitive development of students. From parent&#x2013;child interaction in the preschool stage to academic involvement and assistance in primary school, and then to emotional communication during adolescence, the influence of parental involvement on students&#x2019; academic performance varies (<xref ref-type="bibr" rid="ref81">Tamayo Martinez et al., 2022</xref>; <xref ref-type="bibr" rid="ref62">Prime et al., 2023</xref>). In addition, for mathematics learning, the knowledge learned in preschool and primary school is relatively simple, while the knowledge learned in middle and high school is much more difficult, which also affects the types of parental involvement (<xref ref-type="bibr" rid="ref55">Olmez and Ozel, 2012</xref>). Therefore, this study explores the moderating effect of grade level on the relationship between parental involvement and the math performance of students.</p>
</sec>
<sec id="sec6">
<label>1.5</label>
<title>Geographical region</title>
<p>Geographical region may also influence the relationship between parental involvement and students&#x2019; math performance. The cultural differences in different geographical regions affect the frequency and type of parental involvement in students&#x2019; mathematical learning (<xref ref-type="bibr" rid="ref23">Erdem and Kaya, 2020</xref>; <xref ref-type="bibr" rid="ref92">Xu et al., 2024</xref>). Some researchers stated that in Asian cultures, parents may have higher expectations and more direct involvement in their children&#x2019;s education compared to Western cultures, which is positively correlated with students&#x2019; math performance (<xref ref-type="bibr" rid="ref35">Huang et al., 2021</xref>; <xref ref-type="bibr" rid="ref83">Tang and Tran, 2023</xref>). In addition, the level of economic development and education policies in different regions can also affect the relationship between parental involvement and students&#x2019; math performance (<xref ref-type="bibr" rid="ref32">Harju-Luukkainen et al., 2020</xref>; <xref ref-type="bibr" rid="ref87">Wang et al., 2024</xref>). Therefore, this study identifies geographical region as a potential moderating variable.</p>
</sec>
<sec id="sec7">
<label>1.6</label>
<title>Evaluation type of math performance</title>
<p><xref ref-type="bibr" rid="ref89">Wilder (2023)</xref> highlighted that academic performance evaluation method can affect the strength of the relationship between parental involvement and academic performance. Different evaluation types for the math performance of students may also yield different results. If there are problems with academic achievement evaluation, the credibility of any conclusions will decrease (<xref ref-type="bibr" rid="ref7">Andrews and Harlen, 2006</xref>). Academic performance evaluation is mainly divided into standardized test and custom test. Standardized test generally has a stricter confidence interval and a smaller test score standard deviation, while custom test is easily influenced by many factors or biases of the evaluator. When using custom test to report student math performance, a significant correlation may be found between parental involvement and student math performance (<xref ref-type="bibr" rid="ref38">Jeynes, 2005</xref>). Therefore, this study explores whether math performance evaluation type has an influence on the relationship between parental involvement and math performance.</p>
</sec>
<sec id="sec8">
<label>1.7</label>
<title>Evaluation content of math performance</title>
<p>Math knowledge is not a single component and it encompasses many aspects, including understanding concepts, calculation skills, problem-solving, and algebraic reasoning (<xref ref-type="bibr" rid="ref51">Milburn et al., 2019</xref>). Conceptual understanding and calculation skills are fundamental knowledge that requires lower personal abilities from students, which makes it easier for students to learn. Problem-solving and algebraic reasoning belong to advanced knowledge and require high personal abilities from students, so some may experience difficulties in learning. Currently, there is a lack of consensus on whether parental involvement has the same influence on different types of math knowledge (<xref ref-type="bibr" rid="ref63">Purpura et al., 2020</xref>). Therefore, considering whether evaluation content can affect the relationship between parental involvement and math performance is necessary.</p>
</sec>
<sec id="sec9">
<label>1.8</label>
<title>Publication year</title>
<p>Study publication year may moderate the relationship between parental involvement and math performance. The rapid development of information technology in modern society has brought more content and forms to the mathematics learning of students, particularly the development of related learning software and the popularization of online learning, which have enabled students to learn mathematics at home (<xref ref-type="bibr" rid="ref71">Sarmiento, 2017</xref>). This also provides parents with greater opportunities to be involved in the learning of their children. Following the COVID-19 pandemic, parental involvement has faced more opportunities and challenges. Many national and local policies have also started advocating the importance of parental involvement in education and encouraged parents to play a greater role in education, which will help improve the academic performance of their children (<xref ref-type="bibr" rid="ref58">Panaoura, 2021</xref>). As a result, the relationship between parental involvement and student math performance may become stronger.</p>
</sec>
<sec id="sec10">
<label>1.9</label>
<title>Purpose of this study</title>
<p>In summary, the aim of this meta-analysis is to quantitatively integrate previous research results, provide an updated and comprehensive perspective on the influence parental involvement has on math performance, and investigate the aspects that will affect this relationship.</p>
<p>Firstly, this study will calculate the overall effect size of the correlation between parental involvement and math performance. It will then examine whether there are differences in this correlation between involvement type, participant, grade level, geographical region, evaluation type, evaluation content, and publication year.</p>
</sec>
</sec>
<sec sec-type="methods" id="sec11">
<label>2</label>
<title>Methods</title>
<sec id="sec12">
<label>2.1</label>
<title>Literature search and inclusion</title>
<p>The literature search and inclusion of this study were jointly conducted by two authors. This study used electronic retrieval to collect English journals and dissertations (government documents, conference papers, etc., were not included in the search scope) from 2015 to 2024 regarding the relationship between parental involvement and students&#x2019; math performance (the last retrieval date was May 8, 2024). The databases searched included: Google Scholar, ERIC, EBSCO, Web of Science and ProQuest.</p>
<p>Two rounds of literature searches were conducted. The literature search went through two rounds of procedures. The first round involved conducting extensive searches using keywords. During the search process, we found that although there were many related articles on the relationship between parental involvement and students&#x2019; academic performance, these articles often used comprehensive scores combined with other subjects (such as GPA) for students&#x2019; math performance. In order to conduct a more in-depth study on the influence of parental involvement on students&#x2019; math performance, we used the following search formula, combined with three search fields: topic, title, and full text: (parental involvement OR parental engagement OR parental participation) AND (math performance OR mathematics performance OR math achievement OR mathematics achievement OR math outcomes OR mathematics outcomes).</p>
<p>In the first round, a large-scale search was conducted, and 957 articles were obtained. In the second round, retrospective literature search was used, and 5 articles were obtained by searching the references of the literature obtained in the first round. Following the deletion of 323 duplicate articles, 639 articles were obtained.</p>
<p>In the first round of screening, 283 pieces of irrelevant literature were excluded by reading the article title and abstract. The following criteria were used for screening articles in the second round: (1) articles had to be empirical studies, review studies were not adopted; (2) sample size was clearly reported; (3) the evaluation methods and content for math performance were reported; and (4) the correlation coefficient between parental involvement and the math performance of students was clearly reported. 25 articles with a total of 42 effect size were ultimately included in this study (see <xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Literature screening process.</p>
</caption>
<graphic xlink:href="fpsyg-15-1463359-g001.tif"/>
</fig>
</sec>
<sec id="sec13">
<label>2.2</label>
<title>Literature coding</title>
<p>For the convenience of data analysis, the included articles in the meta-analysis needed to be encoded. The coding content included author, effect size, sample size, participant, involvement type, grade level, geographical region, math performance evaluation type, evaluation content, and publication year.</p>
<list list-type="order">
<list-item>
<p>Author: The first author was used to code the author of the article, and if an article contained multiple effect sizes, &#x2460;, &#x2461;, &#x2462; were used to distinguish them.</p>
</list-item>
<list-item>
<p>Participant: Father, mother, and all</p>
</list-item>
<list-item>
<p>Involvement type: Some articles stated the types of parental involvement, including involvement at home, involvement at school, parental support, parental expectation, and homework assistance. Articles that did not indicate the type of involvement were coded as general involvement.</p>
</list-item>
<list-item>
<p>Grade level: Preschool, primary school, middle school, high school, and university.</p>
</list-item>
<list-item>
<p>Geographical region: Asia, Europe, United States, and other</p>
</list-item>
<list-item>
<p>Math performance evaluation type: According to the description of evaluation methods in the article, this was divided into standardized test and custom test.</p>
</list-item>
<list-item>
<p>Evaluation content: Some articles stated the types of math knowledge, including concepts and numbers, calculations, problem-solving, algebraic reasoning, spatial sense, and number sense. Articles that did not indicate the type of math knowledge were coded as general knowledge.</p>
</list-item>
<list-item>
<p>Publication year: 2015&#x2013;2024</p>
</list-item>
</list>
<p>To ensure coding accuracy and reliability, the coding in this study was completed by two authors separately. Cohen&#x2019;s kappa coefficient was used to analyze the consistency of the two authors coding results. According to statistics, the coding consistency rate between two authors was 95.1%. Then, the two authors discussed their differences, reached a consensus, and completed the final codes. The final coding results can be seen in <xref ref-type="table" rid="tab1">Tables 1</xref>, <xref ref-type="table" rid="tab2">2</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Summary of studies included in the meta-analysis (1).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Author</th>
<th align="center" valign="top">Effect size</th>
<th align="center" valign="top">Sample size</th>
<th align="left" valign="top">Father or mother</th>
<th align="left" valign="top">Involvement type</th>
<th align="left" valign="top">Grade level</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Abah et al.</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">73</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement in home</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Abodunrin</td>
<td align="center" valign="top">0.085</td>
<td align="center" valign="top">454</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental support</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Akkus &#x0026; Lynch &#x2460;</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">41</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Akkus &#x0026; Lynch &#x2461;</td>
<td align="center" valign="top">&#x2212;0.16</td>
<td align="center" valign="top">49</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Alam &#x0026; Dub&#x00E9; &#x2460;</td>
<td align="center" valign="top">0.434</td>
<td align="center" valign="top">117</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alam &#x0026; Dub&#x00E9; &#x2461;</td>
<td align="center" valign="top">0.383</td>
<td align="center" valign="top">117</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alam &#x0026; Dub&#x00E9; &#x2462;</td>
<td align="center" valign="top">0.312</td>
<td align="center" valign="top">117</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alam &#x0026; Dub&#x00E9; &#x2463;</td>
<td align="center" valign="top">0.347</td>
<td align="center" valign="top">117</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alam &#x0026; Dub&#x00E9; &#x2464;</td>
<td align="center" valign="top">0.234</td>
<td align="center" valign="top">117</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Anicama et al.</td>
<td align="center" valign="top">&#x2212;0.03</td>
<td align="center" valign="top">258</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Curtis et al.</td>
<td align="center" valign="top">&#x2212;0.05</td>
<td align="center" valign="top">210</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Foster et al. &#x2460;</td>
<td align="center" valign="top">0.21</td>
<td align="center" valign="top">581</td>
<td align="left" valign="top">Mother</td>
<td align="left" valign="top">Involvement in home</td>
<td align="left" valign="top">Preschool</td>
</tr>
<tr>
<td align="left" valign="top">Foster et al. &#x2461;</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">382</td>
<td align="left" valign="top">Father</td>
<td align="left" valign="top">Involvement in home</td>
<td align="left" valign="top">Preschool</td>
</tr>
<tr>
<td align="left" valign="top">Froiland &#x0026; Davison</td>
<td align="center" valign="top">0.34</td>
<td align="center" valign="top">18,623</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">High school</td>
</tr>
<tr>
<td align="left" valign="top">Grover</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">1,468</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">High school</td>
</tr>
<tr>
<td align="left" valign="top">Koepp et al. &#x2460;</td>
<td align="center" valign="top">0.18</td>
<td align="center" valign="top">2,167,729</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Koepp et al. &#x2461;</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">1,782,899</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Lee &#x0026; Simpkins</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">14,580</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental support</td>
<td align="left" valign="top">High school</td>
</tr>
<tr>
<td align="left" valign="top">Lee &#x0026; Rispoli</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">1,354</td>
<td align="left" valign="top">Father</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Preschool</td>
</tr>
<tr>
<td align="left" valign="top">Birgin &#x0026; Peker</td>
<td align="center" valign="top">0.431</td>
<td align="center" valign="top">306</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental support</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Park et al. &#x2460;</td>
<td align="center" valign="top">&#x2212;0.21</td>
<td align="center" valign="top">563</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Park et al. &#x2461;</td>
<td align="center" valign="top">&#x2212;0.12</td>
<td align="center" valign="top">1,613</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Viljaranta et al.</td>
<td align="center" valign="top">&#x2212;0.36</td>
<td align="center" valign="top">365</td>
<td align="left" valign="top">Mother</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Wu et al.</td>
<td align="center" valign="top">&#x2212;0.16</td>
<td align="center" valign="top">483</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Silinskas &#x0026; Kikas</td>
<td align="center" valign="top">&#x2212;0.11</td>
<td align="center" valign="top">512</td>
<td align="left" valign="top">Mother</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Rodr&#x00ED;guez Mart&#x00ED;nez et al. &#x2460;</td>
<td align="center" valign="top">0.287</td>
<td align="center" valign="top">897</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Parental expectation</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Rodr&#x00ED;guez Mart&#x00ED;nez et al. &#x2461;</td>
<td align="center" valign="top">&#x2212;0.076</td>
<td align="center" valign="top">897</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alghazo &#x0026; Alghazo &#x2460;</td>
<td align="center" valign="top">0.228</td>
<td align="center" valign="top">151</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Alghazo &#x0026; Alghazo &#x2461;</td>
<td align="center" valign="top">0.247</td>
<td align="center" valign="top">151</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at home</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Wang, H. et al.</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">253</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at home</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Nora&#x2019;asikin Abu Bakar et al.</td>
<td align="center" valign="top">&#x2212;0.146</td>
<td align="center" valign="top">284</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">University</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2460;</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">1,321</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2461;</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">2,916</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2462;</td>
<td align="center" valign="top">0.36</td>
<td align="center" valign="top">548</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2463;</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">1,323</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2464;</td>
<td align="center" valign="top">0.22</td>
<td align="center" valign="top">3,036</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Moon &#x2465;</td>
<td align="center" valign="top">0.33</td>
<td align="center" valign="top">461</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">General involvement</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Enih &#x2460;</td>
<td align="center" valign="top">0.22</td>
<td align="center" valign="top">200</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at home</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Enih &#x2461;</td>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">200</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Middle school</td>
</tr>
<tr>
<td align="left" valign="top">Sudit &#x2460;</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">8,565</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at school</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">Sudit &#x2461;</td>
<td align="center" valign="top">&#x2212;0.1</td>
<td align="center" valign="top">8,565</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Involvement at home</td>
<td align="left" valign="top">Primary school</td>
</tr>
<tr>
<td align="left" valign="top">N&#x00FA;&#x00F1;ez et al.</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">1,250</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">Homework assistance</td>
<td align="left" valign="top">Middle school</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Summary of studies included in the meta-analysis (2).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Author</th>
<th align="left" valign="top">Geographical region</th>
<th align="left" valign="top">Evaluation type</th>
<th align="left" valign="top">Evaluation content</th>
<th align="center" valign="top">Publication year</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Abah et al.</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Abodunrin</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2021</td>
</tr>
<tr>
<td align="left" valign="middle">Akkus &#x0026; Lynch &#x2460;</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2022</td>
</tr>
<tr>
<td align="left" valign="middle">Akkus &#x0026; Lynch &#x2461;</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2022</td>
</tr>
<tr>
<td align="left" valign="middle">Alam &#x0026; Dub&#x00E9; &#x2460;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Calculations</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Alam &#x0026; Dub&#x00E9; &#x2461;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Problem-solving</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Alam &#x0026; Dub&#x00E9; &#x2462;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Concepts and number</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Alam &#x0026; Dub&#x00E9; &#x2463;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Algebraic reasoning</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Alam &#x0026; Dub&#x00E9; &#x2464;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Spatial sense</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Anicama et al.</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Calculations</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Curtis et al.</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Calculations</td>
<td align="center" valign="middle">2021</td>
</tr>
<tr>
<td align="left" valign="middle">Foster et al. &#x2460;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Concepts and number</td>
<td align="center" valign="middle">2016</td>
</tr>
<tr>
<td align="left" valign="middle">Foster et al. &#x2461;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Concepts and number</td>
<td align="center" valign="middle">2016</td>
</tr>
<tr>
<td align="left" valign="middle">Froiland &#x0026; Davison</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">Algebraic reasoning</td>
<td align="center" valign="middle">2016</td>
</tr>
<tr>
<td align="left" valign="middle">Grover</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2016</td>
</tr>
<tr>
<td align="left" valign="middle">Koepp et al. &#x2460;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2022</td>
</tr>
<tr>
<td align="left" valign="middle">Koepp et al. &#x2461;</td>
<td align="left" valign="middle">Other</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2022</td>
</tr>
<tr>
<td align="left" valign="middle">Lee &#x0026; Simpkins</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Algebraic reasoning</td>
<td align="center" valign="middle">2021</td>
</tr>
<tr>
<td align="left" valign="middle">Lee &#x0026; Rispoli</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Concepts and number</td>
<td align="center" valign="middle">2019</td>
</tr>
<tr>
<td align="left" valign="middle">Birgin &#x0026; Peker</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Number sense</td>
<td align="center" valign="middle">2024</td>
</tr>
<tr>
<td align="left" valign="middle">Park et al. &#x2460;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Park et al. &#x2461;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Viljaranta et al.</td>
<td align="left" valign="middle">Europe</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">Calculations</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Wu et al.</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2022</td>
</tr>
<tr>
<td align="left" valign="middle">Silinskas &#x0026; Kikas</td>
<td align="left" valign="middle">Europe</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2019</td>
</tr>
<tr>
<td align="left" valign="middle">Rodr&#x00ED;guez Mart&#x00ED;nez et al. &#x2460;</td>
<td align="left" valign="middle">Europe</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2017</td>
</tr>
<tr>
<td align="left" valign="middle">Rodr&#x00ED;guez Mart&#x00ED;nez et al. &#x2461;</td>
<td align="left" valign="middle">Europe</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2017</td>
</tr>
<tr>
<td align="left" valign="middle">Alghazo &#x0026; Alghazo &#x2460;</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2015</td>
</tr>
<tr>
<td align="left" valign="middle">Alghazo &#x0026; Alghazo &#x2461;</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2015</td>
</tr>
<tr>
<td align="left" valign="middle">Wang, H. et al.</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2023</td>
</tr>
<tr>
<td align="left" valign="middle">Nora&#x2019;asikin Abu Bakar et al.</td>
<td align="left" valign="middle">Asia</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2021</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2460;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2461;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2462;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2463;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2464;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Moon &#x2465;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2020</td>
</tr>
<tr>
<td align="left" valign="middle">Enih &#x2460;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Enih &#x2461;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Standardized test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Sudit &#x2460;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">Sudit &#x2461;</td>
<td align="left" valign="middle">USA</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2018</td>
</tr>
<tr>
<td align="left" valign="middle">N&#x00FA;&#x00F1;ez et al.</td>
<td align="left" valign="middle">Europe</td>
<td align="left" valign="middle">Custom test</td>
<td align="left" valign="middle">General knowledge</td>
<td align="center" valign="middle">2017</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec14">
<label>2.3</label>
<title>Effect size calculation</title>
<p>This study adopted the meta-analysis method, which is a comprehensive statistical analysis that is based on existing research results (<xref ref-type="bibr" rid="ref13">Borenstein et al., 2021</xref>). Firstly, the initial effect size of each study was extracted, which is the correlation coefficient r between parental involvement and the math performance of students. Fisher&#x2019;s Z-transform was then applied to r and weighted based on the sample size with 95% confidence.</p>
<p>For intervals, the calculation formula was Z&#x202F;=&#x202F;0.5&#x202F;&#x00D7;&#x202F;ln [(1+ r)/(1-r)].</p>
<p>The instrument used in this study was Comprehensive Meta Analysis 3.0 software, which is specifically designed for calculating the effect size and total effect size of each original study, and analyzing the heterogeneity of effect sizes in different contexts based on moderating variables.</p>
</sec>
</sec>
<sec sec-type="results" id="sec15">
<label>3</label>
<title>Results</title>
<sec id="sec16">
<label>3.1</label>
<title>Overall assessment and heterogeneity test</title>
<p>This meta-analysis included 25 articles with 42 independent effect sizes, with sample sizes ranging from 41 to 2,167,729 for each study. The overall effect size and heterogeneity analysis results of parental involvement on mathematical performance are shown in <xref ref-type="table" rid="tab3">Table 3</xref> and the forest plot (<xref ref-type="fig" rid="fig2">Figure 2</xref>). There are two indicators for a heterogeneity test: <italic>Q</italic> and <italic>I<sup>2</sup></italic>. When <italic>Q</italic> is significant and <italic>I<sup>2</sup></italic> &#x003E;&#x202F;75%, it is considered that there is significant heterogeneity between studies, and the random-effect model should be chosen for analysis (<xref ref-type="bibr" rid="ref36">Huedo-Medina et al., 2006</xref>).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>The effect size of parental involvement on math performance.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top" rowspan="2">
<italic>k</italic>
</th>
<th align="center" valign="top" rowspan="2">
<italic>r</italic>
</th>
<th align="center" valign="top" rowspan="2">95% CI for <italic>r</italic></th>
<th align="center" valign="top" colspan="3">Homogeneity test</th>
<th align="center" valign="top" colspan="2">Tau-squared</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>Q</italic>
</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
<th align="center" valign="top">
<italic>I<sup>2</sup></italic>
</th>
<th align="center" valign="top">
<italic>Tau<sup>2</sup></italic>
</th>
<th align="center" valign="top">
<italic>Tau</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">PI</td>
<td align="center" valign="top">42</td>
<td align="center" valign="top">0.115</td>
<td align="center" valign="top">[0.079, 0.152]</td>
<td align="center" valign="top">24730.955</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">99.834</td>
<td align="center" valign="top">0.012</td>
<td align="center" valign="top">0.109</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>PI, Parental involvement; k is the number of independent effect size.</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Forest plot.</p>
</caption>
<graphic xlink:href="fpsyg-15-1463359-g002.tif"/>
</fig>
<p>The results showed a <italic>Q</italic> value of 24,730.955, with <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001, and an <italic>I<sup>2</sup></italic> value of 99.834%, which indicates significant heterogeneity among studies, so the random-effect model was used for analysis. The random-effect model showed the overall effect size of parental involvement on math performance to be 0.115 (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), with a 95% confidence interval of 0.079 to 0.152. This proved that parental involvement has a significantly positive influence on the math performance of students.</p>
</sec>
<sec id="sec17">
<label>3.2</label>
<title>Publication bias assessment</title>
<p>Meta-analysis requires a publication bias assessment as a means of ensuring research result reliability. Publication bias assessment in this study involved two steps. Firstly, the funnel plot (<xref ref-type="fig" rid="fig3">Figure 3</xref>) showed that the effect sizes of the studies were evenly distributed on both sides of the average effect size, and most of the effect sizes were distributed in the upper middle, with fewer effect sizes at the bottom. This shows that the possibility of publication bias in the study is quite small. Secondly, the Egger&#x2019;s regression test showed a <italic>p</italic>-value of 0.98, which is far greater than 0.05. This indicates that there is no publication bias in this study (<xref ref-type="bibr" rid="ref19">Egger et al., 1997</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Funnel plot.</p>
</caption>
<graphic xlink:href="fpsyg-15-1463359-g003.tif"/>
</fig>
</sec>
<sec id="sec18">
<label>3.3</label>
<title>Moderating variables analysis</title>
<p>The overall analysis results show there to be significant heterogeneity in the influence parental involvement has on math performance. To gain a deeper understanding of the factors that affect the relationship between parental involvement and math performance, this study conducted moderating variable analysis on father or mother, involvement type, grade level, geographical region, math performance evaluation type, evaluation content, and publication year to determine whether parental involvement affects student mathematical performance differently in different contexts. The results of the moderating variables analysis can be seen in <xref ref-type="table" rid="tab4">Table 4</xref>.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Moderating variables analysis.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Moderating variables</th>
<th align="center" valign="top">
<italic>Q</italic>
</th>
<th align="center" valign="top">k</th>
<th align="center" valign="top">
<italic>r</italic>
</th>
<th align="center" valign="top">95%CI</th>
<th align="center" valign="top">
<italic>p</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Participant</td>
<td align="center" valign="top">6.557</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.05</td>
</tr>
<tr>
<td align="left" valign="top">All</td>
<td/>
<td align="center" valign="top">37</td>
<td align="center" valign="top">0.135</td>
<td align="center" valign="top">[0.096, 0.174]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Father</td>
<td/>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.064</td>
<td align="center" valign="top">[0.017, 0.111]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Mother</td>
<td/>
<td align="center" valign="top">3</td>
<td align="center" valign="top">&#x2212;0.090</td>
<td align="center" valign="top">[&#x2212;0.394, 0.235]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Involvement type</td>
<td align="center" valign="top">193.961</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.05</td>
</tr>
<tr>
<td align="left" valign="top">General involvement</td>
<td/>
<td align="center" valign="top">11</td>
<td align="center" valign="top">0.166</td>
<td align="center" valign="top">[0.096, 0.233]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Homework assistance</td>
<td/>
<td align="center" valign="top">7</td>
<td align="center" valign="top">&#x2212;0.143</td>
<td align="center" valign="top">[&#x2212;0.220, &#x2212;0.065]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Involvement at home</td>
<td/>
<td align="center" valign="top">7</td>
<td align="center" valign="top">0.122</td>
<td align="center" valign="top">[&#x2212;0.021, 0.259]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Involvement at school</td>
<td/>
<td align="center" valign="top">7</td>
<td align="center" valign="top">0.087</td>
<td align="center" valign="top">[0.021, 0.151]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Parental expectation</td>
<td/>
<td align="center" valign="top">7</td>
<td align="center" valign="top">0.335</td>
<td align="center" valign="top">[0.315, 0.354]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Parental support</td>
<td/>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.213</td>
<td align="center" valign="top">[0.038, 0.375]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Grade level</td>
<td align="center" valign="top">18.800</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.05</td>
</tr>
<tr>
<td align="left" valign="top">Preschool</td>
<td/>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.116</td>
<td align="center" valign="top">[0.018, 0.221]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Primary school</td>
<td/>
<td align="center" valign="top">24</td>
<td align="center" valign="top">0.110</td>
<td align="center" valign="top">[0.048, 0.172]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Middle school</td>
<td/>
<td align="center" valign="top">11</td>
<td align="center" valign="top">0.135</td>
<td align="center" valign="top">[0.054, 0.214]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">High school</td>
<td/>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.187</td>
<td align="center" valign="top">[0.006, 0.356]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">University</td>
<td/>
<td align="center" valign="top">1</td>
<td align="center" valign="top">&#x2212;0.146</td>
<td align="center" valign="top">[&#x2212;0.258, &#x2212;0.030]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Geographical region</td>
<td align="center" valign="top">9.716</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.05</td>
</tr>
<tr>
<td align="left" valign="top">Asia</td>
<td/>
<td align="center" valign="top">7</td>
<td align="center" valign="top">0.130</td>
<td align="center" valign="top">[&#x2212;0.062, 0.312]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">USA</td>
<td/>
<td align="center" valign="top">22</td>
<td align="center" valign="top">0.109</td>
<td align="center" valign="top">[0.036, 0.180]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Europe</td>
<td/>
<td align="center" valign="top">5</td>
<td align="center" valign="top">&#x2212;0.049</td>
<td align="center" valign="top">[&#x2212;0.235, 0.140]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Other</td>
<td/>
<td align="center" valign="top">8</td>
<td align="center" valign="top">0.242</td>
<td align="center" valign="top">[0.154, 0.326]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Evaluation type</td>
<td align="center" valign="top">3.317</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003E;0.05</td>
</tr>
<tr>
<td align="left" valign="top">Standardized test</td>
<td/>
<td align="center" valign="top">32</td>
<td align="center" valign="top">0.089</td>
<td align="center" valign="top">[0.048, 0.130]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Custom test</td>
<td/>
<td align="center" valign="top">10</td>
<td align="center" valign="top">0.228</td>
<td align="center" valign="top">[0.084, 0.364]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Evaluation content</td>
<td align="center" valign="top">46.851</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x003C;0.05</td>
</tr>
<tr>
<td align="left" valign="top">General knowledge</td>
<td/>
<td align="center" valign="top">28</td>
<td align="center" valign="top">0.090</td>
<td align="center" valign="top">[0.046, 0.134]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Concepts and number</td>
<td/>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.149</td>
<td align="center" valign="top">[0.047, 0.248]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Calculations</td>
<td/>
<td align="center" valign="top">4</td>
<td align="center" valign="top">&#x2212;0.005</td>
<td align="center" valign="top">[&#x2212;0.303, 0.295]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Problem-solving</td>
<td/>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.383</td>
<td align="center" valign="top">[0.217, 0.528]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Algebraic reasoning</td>
<td/>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.265</td>
<td align="center" valign="top">[0.077, 0.435]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Spatial sense</td>
<td/>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.234</td>
<td align="center" valign="top">[0.055, 0.399]</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Number sense</td>
<td/>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.431</td>
<td align="center" valign="top">[0.335, 0.518]</td>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="sec19">
<label>3.3.1</label>
<title>Participant</title>
<p>The analysis results show that there were differences in the effect size of participant on math performance, which indicates a moderating effect (<italic>Q</italic>&#x202F;=&#x202F;6.557, <italic>p&#x202F;&#x003C;</italic>&#x202F;0.05). More specifically, the effect size of parental joint involvement in the study was found to be the largest (<italic>r</italic>&#x202F;=&#x202F;0.135), followed by father involvement (<italic>r</italic>&#x202F;=&#x202F;0.064), while the effect size of mother involvement showed a negative correlation (<italic>r</italic> =&#x202F;&#x2212;0.090).</p>
</sec>
<sec id="sec20">
<label>3.3.2</label>
<title>Involvement type</title>
<p>The analysis results show that involvement type had a moderating effect on the relationship between parental involvement and the math performance of students (<italic>Q</italic>&#x202F;=&#x202F;193.961, <italic>p</italic> &#x003C;&#x202F;0.05). The effect sizes from high to low are parental expectation (<italic>r</italic>&#x202F;=&#x202F;0.335), parental support (<italic>r</italic> =&#x202F;0.213), general involvement (<italic>r</italic> =&#x202F;0.166), involvement at home (<italic>r</italic>&#x202F;=&#x202F;0.122), and involvement at school (<italic>r</italic> =&#x202F;0.087), while homework assistance had the worst effect and was found to have a negative correlation with math performance (<italic>r</italic>&#x202F;=&#x202F;&#x2212;0.143).</p>
</sec>
<sec id="sec21">
<label>3.3.3</label>
<title>Grade level</title>
<p>The analysis results show that grade level had a moderating effect on the relationship between parental involvement and math performance (<italic>Q</italic>&#x202F;=&#x202F;18.800, <italic>p</italic> &#x003C;&#x202F;0.05). More specifically, high school had the highest effect size (<italic>r</italic>&#x202F;=&#x202F;0.187), followed by middle school (<italic>r</italic>&#x202F;=&#x202F;0.135). The effect sizes for primary school (<italic>r</italic>&#x202F;=&#x202F;0.110) and preschool (<italic>r</italic> =&#x202F;0.116) were similar, while university effect size was the worst (<italic>r</italic>&#x202F;=&#x202F;&#x2212;0.146).</p>
</sec>
<sec id="sec22">
<label>3.3.4</label>
<title>Geographical region</title>
<p>This study divided geographical regions into four categories: United States, Europe, Asia, and other countries. The analysis results show there to be differences in the effect sizes (<italic>Q</italic> =&#x202F;9.716, <italic>p</italic> &#x003C; 0.05), and geographical location was also a moderating factor that affected the relationship between parental involvement and the math performance of students. The Asian samples had the largest effect size (<italic>r</italic> =&#x202F;0.130), followed by US samples (<italic>r</italic> =&#x202F;0.109), while the European samples had the worst effect size, showing a negative correlation (<italic>r</italic> =&#x202F;&#x2212;0.049). However, considering the small sample sizes in Asia and Europe, we supposed that this moderating effect was not representative.</p>
</sec>
<sec id="sec23">
<label>3.3.5</label>
<title>Evaluation type</title>
<p>The analysis results show that evaluation type has no effect on the relationship between parental involvement and the math performance of students (<italic>Q</italic>&#x202F;=&#x202F;3.317, <italic>p</italic> &#x003E;&#x202F;0.05). However, when using custom test to evaluate student math performance (<italic>r</italic>&#x202F;=&#x202F;0.228), the correlation was found to be stronger than with standardized test (<italic>r</italic>&#x202F;=&#x202F;0.089).</p>
</sec>
<sec id="sec24">
<label>3.3.6</label>
<title>Evaluation content</title>
<p>The analysis results show that different evaluation contents affected the relationship between parental involvement and the math performance of students (<italic>Q</italic>&#x202F;=&#x202F;46.851, <italic>p</italic> &#x003C;&#x202F;0.05). In comparison to basic mathematical knowledge such as concepts and numbers (<italic>r</italic>&#x202F;=&#x202F;0.149), the correlation between parental involvement and advanced mathematical knowledge, such as problem-solving (<italic>r</italic> =&#x202F;0.383) and algebraic reasoning (<italic>r</italic>&#x202F;=&#x202F;0.265) was stronger.</p>
</sec>
<sec id="sec25">
<label>3.3.7</label>
<title>Publication year</title>
<p>The results of the meta-regression analysis can be seen in <xref ref-type="table" rid="tab5">Table 5</xref> and they show that year of publication had no moderating effect on the relationship between parental involvement and the math performance of students.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Meta-regression analysis.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">95%CI</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">PI</td>
<td align="left" valign="top">Publication year</td>
<td align="center" valign="top">0.0016</td>
<td align="center" valign="top">0.0075</td>
<td align="center" valign="top">[&#x2212;0.0131, 0.0163]</td>
<td align="center" valign="top">0.8277</td>
</tr>
<tr>
<td/>
<td align="center" valign="top">&#x2212;3.1791</td>
<td align="center" valign="top">15.1367</td>
<td align="center" valign="top">[&#x2212;32.8464, 26.4883]</td>
<td align="center" valign="top">0.8336</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>PI, Parental involvement.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="sec26">
<label>4</label>
<title>Discussion</title>
<p>This study analyzed 25 articles with 42 independent effect sizes, and the results showed parental involvement to have a significantly positive influence on the math performance of students. The analysis of moderating variables found that participant, involvement type, grade level, geographical region, and evaluation content can moderate this influence.</p>
<sec id="sec27">
<label>4.1</label>
<title>Parental involvement and the math performance of students</title>
<p>Meta-analyses on the relationship between parental involvement and academic performance in recent years have found parental involvement to have a positive influence on the academic performance of students (<xref ref-type="bibr" rid="ref14">Castro et al., 2015</xref>; <xref ref-type="bibr" rid="ref23">Erdem and Kaya, 2020</xref>; <xref ref-type="bibr" rid="ref10">Ates, 2021</xref>; <xref ref-type="bibr" rid="ref89">Wilder, 2023</xref>). <xref ref-type="bibr" rid="ref33">Henderson and Mapp (2002)</xref> noted that when schools, families, and communities jointly support learning, children are more likely to enjoy learning more and do better. When parents are involved in the education of their children, students will feel that their parents provide them with a sense of security and connection in their studies, which helps enhance their learning motivation (<xref ref-type="bibr" rid="ref30">Gonzalez-DeHass et al., 2005</xref>). At the same time, parental involvement plays a vital role in the emotional and cognitive development of adolescents (<xref ref-type="bibr" rid="ref9004">Hampden-Thompson and Galindo, 2017</xref>; <xref ref-type="bibr" rid="ref9001">Berkowitz et al., 2021</xref>).</p>
<p>Math is essential for national development and many countries have implemented policies to promote math teaching and learning as a means of improving the quality of math education (<xref ref-type="bibr" rid="ref9009">Muraina and Ajayi, 2011</xref>). However, many students continue to face many difficulties in math learning, which leads them to lose confidence and causes anxiety (<xref ref-type="bibr" rid="ref9007">Mamolo, 2022</xref>). In comparison to math, literacy and language skills receive more attention from parents as they often think that their mathematical abilities are weak and that they cannot provide assistance to their children in mathematical learning (<xref ref-type="bibr" rid="ref9001">Berkowitz et al., 2021</xref>). Some parents even hope that teachers and schools take sole responsibility for the mathematical learning of their children (<xref ref-type="bibr" rid="ref9002">Cannon and Ginsburg, 2008</xref>). This study conducted a meta-analysis on the influence parental involvement has on math performance, the results showing that parental involvement has a significantly positive influence on it, which indicates that parental involvement is necessary for mathematical learning. <xref ref-type="bibr" rid="ref57">Panaoura (2017)</xref> noted that parental involvement can help students develop the confidence and perseverance that are needed for mathematical learning. Parental involvement is essential for helping adolescents develop their self-efficacy (<xref ref-type="bibr" rid="ref72">Schunk and Miller, 2002</xref>). Students with low self-efficacy may avoid math that they perceive to be difficult, while students with high self-efficacy may persist in math learning while obtaining satisfaction, which will encourage them to perform better in math (<xref ref-type="bibr" rid="ref9008">Margolis and McCabe, 2004</xref>; <xref ref-type="bibr" rid="ref73">Schunk and Zimmerman, 2006</xref>). Therefore, parents should be advocated and encouraged to become involved in the math learning of their children.</p>
</sec>
<sec id="sec28">
<label>4.2</label>
<title>Moderating effects</title>
<p>Seven moderating variables were chosen in this study. The analysis results showed there to be differences in participant, involve type, grade level, geographical regions, and evaluation content.</p>
<sec id="sec29">
<label>4.2.1</label>
<title>Participant</title>
<p>The analysis result showed the joint involvement of father and mother to have a stronger influence on the math performance of students than father involvement, while mother involvement was found to have a negative influence. As is widely known, a good family environment cannot be separated from the mutual cooperation between father and mother (<xref ref-type="bibr" rid="ref44">Krauss et al., 2020</xref>). Most people considered that the responsibility for managing the academic performance of children lies with the mother, while the role of the father is often neglected (<xref ref-type="bibr" rid="ref66">Rodriguez and Tamis-LeMonda, 2011</xref>). Due to the different ways in which fathers and mothers are involved in the education of their children, the effect of only father or mother involvement is not ideal. Therefore, the joint involvement of father and mother in child education should be promoted.</p>
</sec>
<sec id="sec30">
<label>4.2.2</label>
<title>Involvement type</title>
<p>The analysis results showed parental expectation and parental support to have a stronger correlation with the math performance of students than other involvement types. Parental expectation and support may influence the math performance of students in several ways. Firstly, parental expectation and support can stimulate motivation in children to learn math. Secondly, positive expectations and support from parents in mathematical learning can enhance the self-efficacy and learning abilities of children. Finally, parents with high expectations for their children regarding math performance will help them in various aspects, such as actively communicating with their children emotionally and strengthening connections with schools and teachers, which will help students achieve better mathematical learning performance (<xref ref-type="bibr" rid="ref45">Kung and Lee, 2016</xref>; <xref ref-type="bibr" rid="ref65">Rodr&#x00ED;guez Mart&#x00ED;nez et al., 2017</xref>; <xref ref-type="bibr" rid="ref82">Tan et al., 2020</xref>). Therefore, when parents are involved in mathematical learning, they should give their children more positive expectations and support.</p>
<p>The analysis results show that homework assistance had a negative influence on the math performance of students. Regarding the relationship between homework assistance and student academic performance, current research results are inconsistent. The reason for this contradiction may be related to the way parents provide assistance for the homework of their children (<xref ref-type="bibr" rid="ref9010">Pomerantz and Eaton, 2001</xref>; <xref ref-type="bibr" rid="ref60">Patall et al., 2008</xref>; <xref ref-type="bibr" rid="ref9005">Hill and Tyson, 2009</xref>; <xref ref-type="bibr" rid="ref77">Silinskas et al., 2013</xref>). When parents impose mandatory assistance and supervision on this, it may weaken the abilities and confidence of their children in mathematical learning, which could lead to them becoming more reliant on their parents (<xref ref-type="bibr" rid="ref9010">Pomerantz and Eaton, 2001</xref>; <xref ref-type="bibr" rid="ref85">Viljaranta et al., 2018</xref>). If parents give their children autonomy in homework assistance, which would allow them to think independently and solve problems, their mathematical learning ability and confidence would improve as a result, enabling them to achieve better mathematical performance (<xref ref-type="bibr" rid="ref76">Silinskas et al., 2015</xref>). Therefore, parents should pay attention to the way they are involved in math homework assistance.</p>
</sec>
<sec id="sec31">
<label>4.2.3</label>
<title>Grade level</title>
<p>The analysis results show parental involvement to have the greatest positive influence on the math performance of students in high school, followed by middle school, while parental involvement was found to have the weakest positive influence in primary school and preschool. The reason for these results may be that the mathematical content learned by students in preschool and primary schools is relatively basic, and parents do not need to master professional mathematical knowledge and skills (<xref ref-type="bibr" rid="ref80">Szczygiel, 2020</xref>). Therefore, parents involve in their children&#x2019;s mathematical learning is mostly through homework assistance and intervention, which weakens students&#x2019; autonomy in learning and has a negative influence on their math performance. In middle and high school, the difficulty of students&#x2019; mathematical knowledge increases, so parents involve in their children&#x2019;s mathematical learning is more about giving expectations and encouragement. This positive involvement enhances emotional communication between parents and children, cultivates students&#x2019; autonomy in learning, and has a positive influence on their math performance.</p>
<p>However, the analysis results show there to be a negative correlation between parental involvement and the math performance of students at university. This may be because university students have already passed their teenage years and they hope their parents can give them more autonomy in making choices (<xref ref-type="bibr" rid="ref9">Arshad et al., 2016</xref>). In addition, most of the parents involved in the study have received higher education and have higher expectations for their children&#x2019;s academic performance (<xref ref-type="bibr" rid="ref3">Abu Bakar et al., 2021</xref>). Excessive demands from parents can bring pressure to students, which have a negative influence on their math performance.</p>
</sec>
<sec id="sec32">
<label>4.2.4</label>
<title>Evaluation content</title>
<p>The analysis results show that the evaluation content will affect the relationship between parental involvement and math performance. With basic math knowledge, including concepts and calculations, students find it relatively easy to learn. With advanced math knowledge, such as problem-solving and algebraic reasoning, students have certain difficulties learning, so they need help from their parents (<xref ref-type="bibr" rid="ref34">Hewson, 2011</xref>; <xref ref-type="bibr" rid="ref70">Santana et al., 2019</xref>). Therefore, parental involvement has a stronger positive influence on student performance in advanced math knowledge.</p>
<p>Geographical region had a moderating effect on the relationship between parental involvement and students&#x2019; math performance. However, we considered that this moderating effect may be caused by uneven sample size distribution. In future research, we will retest the moderating effect of geographical region based on richer data.</p>
<p>The analysis results show evaluation type and publication year to have no moderating effect, but standardized test can avoid the influence of subjective factors and is therefore superior to custom test. At the same time, more policies and measures promoting parental involvement in the mathematical learning of students are required.</p>
</sec>
</sec>
</sec>
<sec id="sec33">
<label>5</label>
<title>Implications</title>
<p>Through meta-analysis results, it was found that parental involvement can have a positive influence on students&#x2019; math performance. At the same time, there were also some problems in parental involvement in students&#x2019; mathematical learning that need to be solved in the future. According to SDT, positive parental involvement plays an important role in cultivating students&#x2019; learning autonomy, and parental involvement can enhance interaction and emotional communication with children (<xref ref-type="bibr" rid="ref69">Ryan and Deci, 2000</xref>). Therefore, the quality of parental involvement should be given attention.</p>
<p>Firstly, the father and mother need to work together to create a good family learning environment. Secondly, parents should pay attention to the way they involve in their children&#x2019;s mathematical learning, and provide students with more guidance and encouragement, cultivating autonomy of students in mathematical learning. Finally, parents should actively communicate with schools and teachers to gain a comprehensive understanding of their children&#x2019;s math performance, in order to adjust their strategies for involving in students&#x2019; mathematical learning.</p>
<p>In addition, schools and teachers play an important role in improving the quality of parental involvement. Schools can design and hold family education workshops to provide guidance and training for parents in family education, enhance the emotional communication ability between parents and children, and enable parents to better involve in their children&#x2019;s mathematical learning. Math teachers can provide supportive counseling or guidance strategies to help parents involve more effectively in their children&#x2019;s math homework assistance.</p>
</sec>
<sec id="sec34">
<label>6</label>
<title>Limitations and prospects</title>
<p>Although this study comprehensively analyzed the influence parental involvement has on the math performance of students, there are some limitations. Firstly, this study only searched for English literature and did not consider literature in any other languages, so there is a shortage in the amount of literature that is included in the study. Secondly, there is a lack of unified standards for classifying and evaluating parental involvement. This study categorizes based on the reported content in the included literature, so there are shortcomings in terms of classification standards. Finally, regarding moderating variable analysis, some of the moderating variables examined that are in this study have significant sample size differences, which will affect the results of moderating variable analysis.</p>
<p>Future research could expand the scope of literature inclusion to include literature in other languages, which would expand the sample size and make the meta-analysis results more comprehensive. Secondly, it should further unify the classification criteria for parental involvement and develop standardized evaluation scales. Finally, the sample population of this study is mainly primary and secondary schools and physically healthy students, so research could also be conducted on university students and students with physical disabilities.</p>
</sec>
<sec sec-type="conclusions" id="sec35">
<label>7</label>
<title>Conclusion</title>
<p>This study conducted a meta-analysis of 25 studies and found parental involvement to have a significantly positive influence on the math performance of students. At the same time, this influence was moderated by participant, involvement type, grade level, geographical region, and evaluation content, but had no relationship with evaluation type and publication year.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec36">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec37">
<title>Author contributions</title>
<p>XW: Formal analysis, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. YW: Methodology, Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec38">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec39">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="sec40">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="ref1"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Abah</surname> <given-names>J. A.</given-names></name> <name><surname>Age</surname> <given-names>T. J.</given-names></name> <name><surname>Okoronkwo</surname> <given-names>M. O.</given-names></name></person-group> (<year>2018</year>). <article-title>Returning responsibility to the home: outcomes of background checks on low and high achievers in middle basic mathematics in north Bank suburb of Makurdi, Nigeria</article-title>. <source>J. Efficiency and Respons. Educ. Sci.</source> <volume>11</volume>, <fpage>29</fpage>&#x2013;<lpage>37</lpage>. doi: <pub-id pub-id-type="doi">10.7160/eriesj.2018.110202</pub-id></citation></ref>
<ref id="ref3"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Abu Bakar</surname> <given-names>N.&#x2019;a.</given-names></name> <name><surname>Mohd Ayub</surname> <given-names>A. F.</given-names></name> <name><surname>Ahmad</surname> <given-names>N. A.</given-names></name> <name><surname>Syed Abdullah</surname> <given-names>S. I. S.</given-names></name></person-group> (<year>2021</year>). <article-title>Mathematics achievement: the relationship between student engagement, parental involvement, and peer influence</article-title>. <source>Int. J. Acad. Res. Business Soc. Sci.</source> <volume>11</volume>, <fpage>496</fpage>&#x2013;<lpage>513</lpage>. doi: <pub-id pub-id-type="doi">10.6007/ijarbss/v11-i5/9973</pub-id></citation></ref>
<ref id="ref5"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Alam</surname> <given-names>S. S.</given-names></name> <name><surname>Dub&#x00E9;</surname> <given-names>A. K.</given-names></name></person-group> (<year>2023</year>). <article-title>How does the modern home environment impact children's mathematics knowledge? Evidence from Canadian elementary children's digital home numeracy practice (DHNP)</article-title>. <source>J. Comput. Assist. Learn.</source> <volume>39</volume>, <fpage>1211</fpage>&#x2013;<lpage>1241</lpage>. doi: <pub-id pub-id-type="doi">10.1111/jcal.12795</pub-id></citation></ref>
<ref id="ref7"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Andrews</surname> <given-names>R.</given-names></name> <name><surname>Harlen</surname> <given-names>W.</given-names></name></person-group> (<year>2006</year>). <article-title>Issues in synthesizing research in education</article-title>. <source>Educ. Res.</source> <volume>48</volume>, <fpage>287</fpage>&#x2013;<lpage>299</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00131880600992330</pub-id></citation></ref>
<ref id="ref9"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Arshad</surname> <given-names>M.</given-names></name> <name><surname>Shahzadi</surname> <given-names>E.</given-names></name> <name><surname>Mahmood</surname> <given-names>A.</given-names></name></person-group> (<year>2016</year>). <article-title>Parents involvement at university level education: students perception in under developing country</article-title>. <source>Eur. Sci. J.</source> <volume>12</volume>:<fpage>294</fpage>. doi: <pub-id pub-id-type="doi">10.19044/esj.2016.v12n22p294</pub-id></citation></ref>
<ref id="ref10"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ates</surname> <given-names>A.</given-names></name></person-group> (<year>2021</year>). <article-title>The relationship between parental involvement in education and academic achievement: a Meta-analysis study</article-title>. <source>Pegem J. Educ. Instruction</source> <volume>11</volume>, <fpage>50</fpage>&#x2013;<lpage>66</lpage>.</citation></ref>
<ref id="ref11"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Belsky</surname> <given-names>J.</given-names></name> <name><surname>Gilstrap</surname> <given-names>B.</given-names></name> <name><surname>Rovine</surname> <given-names>M.</given-names></name></person-group> (<year>1984</year>). <article-title>The Pennsylvania infant and family development project, I: stability and change in mother-infant and father-infant interaction in a family setting at one, three, and nine months</article-title>. <source>Child Dev.</source> <volume>55</volume>:<fpage>692</fpage>. doi: <pub-id pub-id-type="doi">10.2307/1130122</pub-id></citation></ref>
<ref id="ref9001"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Berkowitz</surname> <given-names>R.</given-names></name> <name><surname>Astor</surname> <given-names>R. A.</given-names></name> <name><surname>Pineda</surname> <given-names>D.</given-names></name> <name><surname>DePedro</surname> <given-names>K. T.</given-names></name> <name><surname>Weiss</surname> <given-names>E. L.</given-names></name> <name><surname>Benbenishty</surname> <given-names>R.</given-names></name></person-group> (<year>2021</year>). <article-title>Parental involvement and perceptions of school climate in California</article-title>. <source>Urban Educ.</source> <volume>56</volume>, <fpage>393</fpage>&#x2013;<lpage>423</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0042085916685764</pub-id></citation></ref>
<ref id="ref13"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Borenstein</surname> <given-names>M.</given-names></name> <name><surname>Hedges</surname> <given-names>L. V.</given-names></name> <name><surname>Higgins</surname> <given-names>J. P.</given-names></name> <name><surname>Rothstein</surname> <given-names>H. R.</given-names></name></person-group> (<year>2021</year>). <source>Introduction to meta-analysis</source>. <publisher-loc>Hoboken</publisher-loc>: <publisher-name>John Wiley &#x0026; Sons</publisher-name>.</citation></ref>
<ref id="ref9002"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cannon</surname> <given-names>J.</given-names></name> <name><surname>Ginsburg</surname> <given-names>H. P.</given-names></name></person-group> (<year>2008</year>). <article-title>&#x201C;Doing the math&#x201D;: Maternal beliefs about early mathematics versus language learning</article-title>. <source>Early Educ. Dev.</source> <volume>19</volume>, <fpage>238</fpage>&#x2013;<lpage>260</lpage>. doi: <pub-id pub-id-type="doi">10.1080/10409280801963913</pub-id></citation></ref>
<ref id="ref14"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Castro</surname> <given-names>M.</given-names></name> <name><surname>Exp&#x00F3;sito-Casas</surname> <given-names>E.</given-names></name> <name><surname>L&#x00F3;pez-Mart&#x00ED;n</surname> <given-names>E.</given-names></name> <name><surname>Lizasoain</surname> <given-names>L.</given-names></name> <name><surname>Navarro-Asencio</surname> <given-names>E.</given-names></name> <name><surname>Gaviria</surname> <given-names>J. L.</given-names></name></person-group> (<year>2015</year>). <article-title>Parental involvement on student academic achievement: a meta-analysis</article-title>. <source>Educ. Res. Rev.</source> <volume>14</volume>, <fpage>33</fpage>&#x2013;<lpage>46</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.edurev.2015.01.002</pub-id></citation></ref>
<ref id="ref15"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Clark</surname> <given-names>C.</given-names></name></person-group> (<year>2005</year>). <source>The importance of parental involvement in their children&#x2019;s literacy practices</source>. <publisher-loc>London</publisher-loc>: <publisher-name>National Literacy Trust</publisher-name>.</citation></ref>
<ref id="ref16"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Craig</surname> <given-names>L.</given-names></name></person-group> (<year>2006</year>). <article-title>Does father care mean fathers share? A comparison of how mothers and fathers in intact families spend time with children</article-title>. <source>Gend. Soc.</source> <volume>20</volume>, <fpage>259</fpage>&#x2013;<lpage>281</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0891243205285212</pub-id></citation></ref>
<ref id="ref17"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Curtis</surname> <given-names>K.</given-names></name> <name><surname>Anicama</surname> <given-names>C.</given-names></name> <name><surname>Zhou</surname> <given-names>Q.</given-names></name></person-group> (<year>2021</year>). <article-title>Longitudinal relations among school context, school-based parent involvement, and academic achievement of Chinese American children in immigrant families</article-title>. <source>J. Sch. Psychol.</source> <volume>88</volume>, <fpage>1</fpage>&#x2013;<lpage>17</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.jsp.2021.07.002</pub-id>, PMID: <pub-id pub-id-type="pmid">34625206</pub-id></citation></ref>
<ref id="ref19"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Egger</surname> <given-names>M.</given-names></name> <name><surname>Smith</surname> <given-names>G. D.</given-names></name> <name><surname>Schneider</surname> <given-names>M.</given-names></name> <name><surname>Minder</surname> <given-names>C.</given-names></name></person-group> (<year>1997</year>). <article-title>Bias in meta-analysis detected by a simple, graphical test</article-title>. <source>BMJ</source> <volume>315</volume>, <fpage>629</fpage>&#x2013;<lpage>634</lpage>. doi: <pub-id pub-id-type="doi">10.1136/bmj.315.7109.629</pub-id>, PMID: <pub-id pub-id-type="pmid">9310563</pub-id></citation></ref>
<ref id="ref20"><citation citation-type="other"><person-group person-group-type="author"><name><surname>Enih</surname> <given-names>F. N.</given-names></name></person-group> (<year>2018</year>). The relationship between parental involvement and middle school student achievement in mathematics (Doctoral dissertation, Texas Southern University).</citation></ref>
<ref id="ref21"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Epstein</surname> <given-names>J. L.</given-names></name></person-group> (<year>2004</year>). <article-title>Meeting NCLB requirements for family involvement</article-title>. <source>National Middle School Association (NJ1)</source> <volume>8</volume>, <fpage>14</fpage>&#x2013;<lpage>17</lpage>.</citation></ref>
<ref id="ref22"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Epstein</surname> <given-names>J. L.</given-names></name> <name><surname>Sanders</surname> <given-names>M. G.</given-names></name> <name><surname>Sheldon</surname> <given-names>S. B.</given-names></name> <name><surname>Simon</surname> <given-names>B. S.</given-names></name> <name><surname>Salinas</surname> <given-names>K. C.</given-names></name> <name><surname>Jansorn</surname> <given-names>N. R.</given-names></name> <etal/></person-group>. (<year>2018</year>). <source>School, family, and community partnerships: Your handbook for action</source>: <publisher-name>Corwin Press</publisher-name>.</citation></ref>
<ref id="ref23"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Erdem</surname> <given-names>C.</given-names></name> <name><surname>Kaya</surname> <given-names>M.</given-names></name></person-group> (<year>2020</year>). <article-title>A Meta-analysis of the effect of parental involvement on Students' academic achievement</article-title>. <source>J. Learn. Develop.</source> <volume>7</volume>, <fpage>367</fpage>&#x2013;<lpage>383</lpage>. doi: <pub-id pub-id-type="doi">10.56059/jl4d.v7i3.417</pub-id></citation></ref>
<ref id="ref24"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fan</surname> <given-names>X.</given-names></name> <name><surname>Chen</surname> <given-names>M.</given-names></name></person-group> (<year>2001</year>). <article-title>Parental involvement and students' academic achievement: a meta-analysis</article-title>. <source>Educ. Psychol. Rev.</source> <volume>13</volume>, <fpage>1</fpage>&#x2013;<lpage>22</lpage>. doi: <pub-id pub-id-type="doi">10.1023/A:1009048817385</pub-id></citation></ref>
<ref id="ref25"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Feng</surname> <given-names>X.</given-names></name> <name><surname>Xie</surname> <given-names>K.</given-names></name> <name><surname>Gong</surname> <given-names>S.</given-names></name> <name><surname>Gao</surname> <given-names>L.</given-names></name> <name><surname>Cao</surname> <given-names>Y.</given-names></name></person-group> (<year>2019</year>). <article-title>Effects of parental autonomy support and teacher support on middle school students&#x2019; homework effort: homework autonomous motivation as mediator</article-title>. <source>Front. Psychol.</source> <volume>10</volume>:<fpage>612</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyg.2019.00612</pub-id>, PMID: <pub-id pub-id-type="pmid">30971977</pub-id></citation></ref>
<ref id="ref27"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fiskerstrand</surname> <given-names>A.</given-names></name></person-group> (<year>2022</year>). <article-title>Literature review&#x2013;parent involvement and mathematic outcome</article-title>. <source>Educ. Res. Rev.</source> <volume>37</volume>:<fpage>100458</fpage>. doi: <pub-id pub-id-type="doi">10.1016/j.edurev.2022.100458</pub-id></citation></ref>
<ref id="ref29"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Froiland</surname> <given-names>J. M.</given-names></name> <name><surname>Davison</surname> <given-names>M. L.</given-names></name></person-group> (<year>2016</year>). <article-title>The longitudinal influences of peers, parents, motivation, and mathematics course-taking on high school math achievement</article-title>. <source>Learn. Individ. Differ.</source> <volume>50</volume>, <fpage>252</fpage>&#x2013;<lpage>259</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.lindif.2016.07.012</pub-id></citation></ref>
<ref id="ref30"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gonzalez-DeHass</surname> <given-names>A. R.</given-names></name> <name><surname>Willems</surname> <given-names>P. P.</given-names></name> <name><surname>Holbein</surname> <given-names>M. F. D.</given-names></name></person-group> (<year>2005</year>). <article-title>Examining the relationship between parental involvement and student motivation</article-title>. <source>Educ. Psychol. Rev.</source> <volume>17</volume>, <fpage>99</fpage>&#x2013;<lpage>123</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s10648-005-3949-7</pub-id></citation></ref>
<ref id="ref9003"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Grolnick</surname> <given-names>W. S.</given-names></name> <name><surname>Slowiaczek</surname> <given-names>M. L.</given-names></name></person-group> (<year>1994</year>). <article-title>Parents&#x2019; involvement in children&#x2019;s schooling: A multidimensional conceptualization and motivational model</article-title>. <source>Child Develop.</source> <volume>65</volume>, <fpage>237</fpage>&#x2013;<lpage>252</lpage>. doi: <pub-id pub-id-type="doi">10.2307/1131378</pub-id></citation></ref>
<ref id="ref9004"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hampden-Thompson</surname> <given-names>G.</given-names></name> <name><surname>Galindo</surname> <given-names>C.</given-names></name></person-group> (<year>2017</year>). <article-title>School&#x2013;family relationships, school satisfaction and the academic achievement of young people</article-title>. <source>Educ. Rev.</source> <volume>69</volume>, <fpage>248</fpage>&#x2013;<lpage>265</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00131911.2016.1207613</pub-id></citation></ref>
<ref id="ref32"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Harju-Luukkainen</surname> <given-names>H.</given-names></name> <name><surname>Vettenranta</surname> <given-names>J.</given-names></name> <name><surname>Wang</surname> <given-names>J.</given-names></name> <name><surname>Garvis</surname> <given-names>S.</given-names></name></person-group> (<year>2020</year>). <article-title>Family related variables effect on later educational outcome: a further geospatial analysis on TIMSS 2015 Finland</article-title>. <source>Large-Scale Assess. Educ.</source> <volume>8</volume>:<fpage>3</fpage>. doi: <pub-id pub-id-type="doi">10.1186/s40536-020-00081-2</pub-id></citation></ref>
<ref id="ref33"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Henderson</surname> <given-names>A. T.</given-names></name> <name><surname>Mapp</surname> <given-names>K. L.</given-names></name></person-group> (<year>2002</year>). <article-title>A new wave of evidence: the impact of school, family, and community connections on student achievement</article-title>. <source>Annual Synthesis</source>. <publisher-loc>Austin, TX</publisher-loc>: <publisher-name>National Center for Family and Community Connections with Schools, Southwest Educational Development Laboratory</publisher-name>. (<volume>2002</volume>).</citation></ref>
<ref id="ref34"><citation citation-type="other"><person-group person-group-type="author"><name><surname>Hewson</surname> <given-names>S.</given-names></name></person-group> (<year>2011</year>). The mathematical problems faced by advanced STEM students. Cambridge: NRICH. Available at: <ext-link xlink:href="http://nrich.maths.org/6458" ext-link-type="uri">http://nrich.maths.org/6458</ext-link> (last accessed 10/07/2015).</citation></ref>
<ref id="ref9005"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hill</surname> <given-names>N. E.</given-names></name> <name><surname>Tyson</surname> <given-names>D. F.</given-names></name></person-group> (<year>2009</year>). <article-title>Parental involvement in middle school: a meta-analytic assessment of the strategies that promote achievement</article-title>. <source>Develop. Psychol.</source> <volume>45</volume>, <fpage>740</fpage>. doi: <pub-id pub-id-type="doi">10.1037/a0015362</pub-id></citation></ref>
<ref id="ref9006"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hindman</surname> <given-names>A. H.</given-names></name> <name><surname>Morrison</surname> <given-names>F. J.</given-names></name></person-group> (<year>2012</year>). <article-title>Differential contributions of three parenting dimensions to preschool literacy and social skills in a middle-income sample</article-title>. <source>Merrill-Palmer Quart.</source> <fpage>191</fpage>&#x2013;<lpage>223</lpage>. doi: <pub-id pub-id-type="doi">10.1353/mpq.2012.0012</pub-id></citation></ref>
<ref id="ref35"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Huang</surname> <given-names>F.</given-names></name> <name><surname>Huang</surname> <given-names>Z.</given-names></name> <name><surname>Li</surname> <given-names>Z.</given-names></name> <name><surname>Zhang</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Relationship between parental involvement and mathematics achievement of Chinese early adolescents: multiple mediating roles of mental health and mathematics self-efficacy</article-title>. <source>Int. J. Environ. Res. Public Health</source> <volume>18</volume>:<fpage>9565</fpage>. doi: <pub-id pub-id-type="doi">10.3390/ijerph18189565</pub-id>, PMID: <pub-id pub-id-type="pmid">34574493</pub-id></citation></ref>
<ref id="ref36"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Huedo-Medina</surname> <given-names>T. B.</given-names></name> <name><surname>S&#x00E1;nchez-Meca</surname> <given-names>J.</given-names></name> <name><surname>Mar&#x00ED;n-Mart&#x00ED;nez</surname> <given-names>F.</given-names></name> <name><surname>Botella</surname> <given-names>J.</given-names></name></person-group> (<year>2006</year>). <article-title>Assessing heterogeneity in meta-analysis: Q statistic or I<sup>2</sup> index?</article-title> <source>Psychol. Methods</source> <volume>11</volume>, <fpage>193</fpage>&#x2013;<lpage>206</lpage>. doi: <pub-id pub-id-type="doi">10.1037/1082-989x.11.2.193</pub-id></citation></ref>
<ref id="ref37"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jay</surname> <given-names>T.</given-names></name> <name><surname>Rose</surname> <given-names>J.</given-names></name> <name><surname>Simmons</surname> <given-names>B.</given-names></name></person-group> (<year>2018</year>). <article-title>Why is parental involvement in children&#x2019;s mathematics learning hard? Parental perspectives on their role supporting children&#x2019;s learning</article-title>. <source>SAGE Open</source> <volume>8</volume>:<fpage>2158244018775466</fpage>. doi: <pub-id pub-id-type="doi">10.1177/2158244018775466</pub-id></citation></ref>
<ref id="ref38"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jeynes</surname> <given-names>W. H.</given-names></name></person-group> (<year>2005</year>). <article-title>A meta-analysis of the relation of parental involvement to urban elementary school student academic achievement</article-title>. <source>Urban Educ.</source> <volume>40</volume>, <fpage>237</fpage>&#x2013;<lpage>269</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0042085905274540</pub-id></citation></ref>
<ref id="ref39"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jeynes</surname> <given-names>W.</given-names></name></person-group> (<year>2012</year>). <article-title>A meta-analysis of the efficacy of different types of parental involvement programs for urban students</article-title>. <source>Urban Educ.</source> <volume>47</volume>, <fpage>706</fpage>&#x2013;<lpage>742</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0042085912445643</pub-id></citation></ref>
<ref id="ref41"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Joussemet</surname> <given-names>M.</given-names></name> <name><surname>Landry</surname> <given-names>R.</given-names></name> <name><surname>Koestner</surname> <given-names>R.</given-names></name></person-group> (<year>2008</year>). <article-title>A self-determination theory perspective on parenting</article-title>. <source>Can. Psychol.</source> <volume>49</volume>, <fpage>194</fpage>&#x2013;<lpage>200</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0012754</pub-id></citation></ref>
<ref id="ref42"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Klein</surname> <given-names>M.</given-names></name></person-group> (<year>2019</year>). <article-title>Self-determination theory: basic psychological needs in motivation, development, and wellness</article-title>. <source>Sociologicky Casopis</source> <volume>55</volume>, <fpage>412</fpage>&#x2013;<lpage>413</lpage>.</citation></ref>
<ref id="ref43"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Koepp</surname> <given-names>A. E.</given-names></name> <name><surname>Gershoff</surname> <given-names>E. T.</given-names></name> <name><surname>Marteleto</surname> <given-names>L. J.</given-names></name></person-group> (<year>2022</year>). <article-title>Parent involvement and children's academic achievement: evidence from a census of public school students in Brazil</article-title>. <source>Child Dev.</source> <volume>93</volume>, <fpage>1744</fpage>&#x2013;<lpage>1759</lpage>. doi: <pub-id pub-id-type="doi">10.1111/cdev.13816</pub-id></citation></ref>
<ref id="ref44"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Krauss</surname> <given-names>S.</given-names></name> <name><surname>Orth</surname> <given-names>U.</given-names></name> <name><surname>Robins</surname> <given-names>R. W.</given-names></name></person-group> (<year>2020</year>). <article-title>Family environment and self-esteem development: a longitudinal study from age 10 to 16</article-title>. <source>J. Pers. Soc. Psychol.</source> <volume>119</volume>, <fpage>457</fpage>&#x2013;<lpage>478</lpage>. doi: <pub-id pub-id-type="doi">10.1037/pspp0000263</pub-id>, PMID: <pub-id pub-id-type="pmid">31535888</pub-id></citation></ref>
<ref id="ref45"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kung</surname> <given-names>H. Y.</given-names></name> <name><surname>Lee</surname> <given-names>C. Y.</given-names></name></person-group> (<year>2016</year>). <article-title>Multidimensionality of parental involvement and children's mathematics achievement in Taiwan: mediating effect of math self-efficacy</article-title>. <source>Learn. Individ. Differ.</source> <volume>47</volume>, <fpage>266</fpage>&#x2013;<lpage>273</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.lindif.2016.02.004</pub-id></citation></ref>
<ref id="ref46"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Landry</surname> <given-names>S. H.</given-names></name></person-group> (<year>2008</year>). <article-title>The role of parents in early childhood learning</article-title>. <source>Encyclopedia Early Childhood Develop.</source>, <fpage>1</fpage>&#x2013;<lpage>6</lpage>.</citation></ref>
<ref id="ref47"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>LaRocque</surname> <given-names>M.</given-names></name> <name><surname>Kleiman</surname> <given-names>I.</given-names></name> <name><surname>Darling</surname> <given-names>S. M.</given-names></name></person-group> (<year>2011</year>). <article-title>Parental involvement: the missing link in school achievement</article-title>. <source>Prev. Sch. Fail.</source> <volume>55</volume>, <fpage>115</fpage>&#x2013;<lpage>122</lpage>. doi: <pub-id pub-id-type="doi">10.1080/10459880903472876</pub-id></citation></ref>
<ref id="ref9007"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mamolo</surname> <given-names>L. A.</given-names></name></person-group> (<year>2022</year>). <article-title>Online Learning and Students&#x2019; Mathematics Motivation, Self&#x2010;Efficacy, and Anxiety in the &#x201C;New Normal&#x201D;</article-title>. <source>Educ. Res. Int.</source> <volume>2022</volume>:<fpage>9439634</fpage>. doi: <pub-id pub-id-type="doi">10.1155/2022/9439634</pub-id></citation></ref>
<ref id="ref9008"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Margolis</surname> <given-names>H.</given-names></name> <name><surname>McCABE</surname> <given-names>P. P.</given-names></name></person-group> (<year>2004</year>). <article-title>Resolving Struggling Readers\u0027 Homework Difficulties: a Social Cognitive Perspective</article-title>. <source>Reading Psychology</source>. <volume>25</volume>, <fpage>225</fpage>&#x2013;<lpage>260</lpage>. doi: <pub-id pub-id-type="doi">10.1080/02702710490512064</pub-id></citation></ref>
<ref id="ref50"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Martin</surname> <given-names>A.</given-names></name> <name><surname>Ryan</surname> <given-names>R. M.</given-names></name> <name><surname>Brooks-Gunn</surname> <given-names>J.</given-names></name></person-group> (<year>2010</year>). <article-title>When fathers&#x2019; supportiveness matters most: maternal and paternal parenting and children&#x2019;s school readiness</article-title>. <source>J. Fam. Psychol.</source> <volume>24</volume>, <fpage>145</fpage>&#x2013;<lpage>155</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0018073</pub-id>, PMID: <pub-id pub-id-type="pmid">20438190</pub-id></citation></ref>
<ref id="ref51"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Milburn</surname> <given-names>T. F.</given-names></name> <name><surname>Lonigan</surname> <given-names>C. J.</given-names></name> <name><surname>DeFlorio</surname> <given-names>L.</given-names></name> <name><surname>Klein</surname> <given-names>A.</given-names></name></person-group> (<year>2019</year>). <article-title>Dimensionality of preschoolers&#x2019; informal mathematical abilities</article-title>. <source>Early Child. Res. Q.</source> <volume>47</volume>, <fpage>487</fpage>&#x2013;<lpage>495</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.ecresq.2018.07.006</pub-id>, PMID: <pub-id pub-id-type="pmid">32461711</pub-id></citation></ref>
<ref id="ref52"><citation citation-type="other"><person-group person-group-type="author"><name><surname>Moon</surname> <given-names>C. Y.</given-names></name></person-group> (<year>2020</year>). Examining mathematics achievement: An analysis of fourth and eighth grade TIMSS 2015 US data by ethnicity, gender, student bullying, parental involvement, and engaging teaching (doctoral dissertation).</citation></ref>
<ref id="ref9009"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Muraina</surname> <given-names>K. O.</given-names></name> <name><surname>Ajayi</surname> <given-names>K.</given-names></name></person-group> (<year>2011</year>). <article-title>Parents&#x2019; Education, Occupation and Real Mother&#x2019;s Age as Predictors of Students&#x2019; Achievement in Mathematics in Some Selected Secondary Schools in Ogun State</article-title>, <source>Nigeria. Academic Leadership: The Online J.</source> <volume>9</volume>:<fpage>38</fpage>. doi: <pub-id pub-id-type="doi">10.58809/ztic6332</pub-id></citation></ref>
<ref id="ref54"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Olivar</surname> <given-names>M. J. A.</given-names></name> <name><surname>Naparan</surname> <given-names>G. B.</given-names></name></person-group> (<year>2023</year>). <article-title>Parental involvement and academic performance of students in online class learning modality</article-title>. <source>Int. J. Soc. Sci. Educ. Stud.</source> <volume>10</volume>:<fpage>16</fpage>. doi: <pub-id pub-id-type="doi">10.23918/ijsses.v10i2p16</pub-id></citation></ref>
<ref id="ref55"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Olmez</surname> <given-names>I. B.</given-names></name> <name><surname>Ozel</surname> <given-names>S.</given-names></name></person-group> (<year>2012</year>). <article-title>Mathematics anxiety among sixth and seventh grade Turkish elementary school students</article-title>. <source>Procedia Soc. Behav. Sci.</source> <volume>46</volume>, <fpage>4933</fpage>&#x2013;<lpage>4937</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.sbspro.2012.06.362</pub-id></citation></ref>
<ref id="ref56"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Otani</surname> <given-names>M.</given-names></name></person-group> (<year>2020</year>). <article-title>Parental involvement and academic achievement among elementary and middle school students</article-title>. <source>Asia Pac. Educ. Rev.</source> <volume>21</volume>, <fpage>1</fpage>&#x2013;<lpage>25</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s12564-019-09614-z</pub-id></citation></ref>
<ref id="ref57"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Panaoura</surname> <given-names>A.</given-names></name></person-group> (<year>2017</year>). <article-title>Parental involvement in developing students&#x2019; perseverance in solving mathematical problem through the use of social media</article-title>. <source>Int. J. Technol. Educ. Sci.</source> <volume>1</volume>, <fpage>36</fpage>&#x2013;<lpage>47</lpage>.</citation></ref>
<ref id="ref58"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Panaoura</surname> <given-names>R.</given-names></name></person-group> (<year>2021</year>). <article-title>Parental involvement in children's mathematics learning before and during the period of the COVID-19</article-title>. <source>Social Educ. Res.</source> <volume>2</volume>, <fpage>65</fpage>&#x2013;<lpage>74</lpage>. doi: <pub-id pub-id-type="doi">10.37256/ser.212021547</pub-id></citation></ref>
<ref id="ref59"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname> <given-names>D.</given-names></name> <name><surname>Gunderson</surname> <given-names>E. A.</given-names></name> <name><surname>Maloney</surname> <given-names>E. A.</given-names></name> <name><surname>Tsukayama</surname> <given-names>E.</given-names></name> <name><surname>Beilock</surname> <given-names>S. L.</given-names></name> <name><surname>Duckworth</surname> <given-names>A. L.</given-names></name> <etal/></person-group>. (<year>2023</year>). <article-title>Parental intrusive homework support and math achievement: does the child&#x2019;s mindset matter?</article-title> <source>Dev. Psychol.</source> <volume>59</volume>, <fpage>1249</fpage>&#x2013;<lpage>1267</lpage>. doi: <pub-id pub-id-type="doi">10.1037/dev0001522</pub-id>, PMID: <pub-id pub-id-type="pmid">37166869</pub-id></citation></ref>
<ref id="ref60"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Patall</surname> <given-names>E. A.</given-names></name> <name><surname>Cooper</surname> <given-names>H.</given-names></name> <name><surname>Robinson</surname> <given-names>J. C.</given-names></name></person-group> (<year>2008</year>). <article-title>Parent involvement in homework: a research synthesis</article-title>. <source>Rev. Educ. Res.</source> <volume>78</volume>, <fpage>1039</fpage>&#x2013;<lpage>1101</lpage>. doi: <pub-id pub-id-type="doi">10.3102/0034654308325185</pub-id></citation></ref>
<ref id="ref9010"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pomerantz</surname> <given-names>E. M.</given-names></name> <name><surname>Eaton</surname> <given-names>M. M.</given-names></name></person-group> (<year>2001</year>). <article-title>Maternal intrusive support in the academic context: transactional socialization processes</article-title>. <source>Develop. Psychol.</source> <volume>37</volume>:<fpage>174</fpage>. doi: <pub-id pub-id-type="doi">10.1037//0012-1649.37.2.174</pub-id></citation></ref>
<ref id="ref61"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Powell</surname> <given-names>D. R.</given-names></name> <name><surname>Son</surname> <given-names>S. H.</given-names></name> <name><surname>File</surname> <given-names>N.</given-names></name> <name><surname>Froiland</surname> <given-names>J. M.</given-names></name></person-group> (<year>2012</year>). <article-title>Changes in parent involvement across the transition from public school prekindergarten to first grade and children's academic outcomes</article-title>. <source>Elem. Sch. J.</source> <volume>113</volume>, <fpage>276</fpage>&#x2013;<lpage>300</lpage>. doi: <pub-id pub-id-type="doi">10.1086/667726</pub-id></citation></ref>
<ref id="ref62"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Prime</surname> <given-names>H.</given-names></name> <name><surname>Andrews</surname> <given-names>K.</given-names></name> <name><surname>Markwell</surname> <given-names>A.</given-names></name> <name><surname>Gonzalez</surname> <given-names>A.</given-names></name> <name><surname>Janus</surname> <given-names>M.</given-names></name> <name><surname>Tricco</surname> <given-names>A. C.</given-names></name> <etal/></person-group>. (<year>2023</year>). <article-title>Positive parenting and early childhood cognition: a systematic review and meta-analysis of randomized controlled trials</article-title>. <source>Clin. Child. Fam. Psychol. Rev.</source> <volume>26</volume>, <fpage>362</fpage>&#x2013;<lpage>400</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s10567-022-00423-2</pub-id>, PMID: <pub-id pub-id-type="pmid">36729307</pub-id></citation></ref>
<ref id="ref63"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Purpura</surname> <given-names>D. J.</given-names></name> <name><surname>King</surname> <given-names>Y. A.</given-names></name> <name><surname>Rolan</surname> <given-names>E.</given-names></name> <name><surname>Hornburg</surname> <given-names>C. B.</given-names></name> <name><surname>Schmitt</surname> <given-names>S. A.</given-names></name> <name><surname>Hart</surname> <given-names>S. A.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Examining the factor structure of the home mathematics environment to delineate its role in predicting preschool numeracy, mathematical language, and spatial skills</article-title>. <source>Front. Psychol.</source> <volume>11</volume>:<fpage>1925</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyg.2020.01925</pub-id>, PMID: <pub-id pub-id-type="pmid">32849131</pub-id></citation></ref>
<ref id="ref64"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Rameli</surname> <given-names>M. R. M.</given-names></name> <name><surname>Kosnin</surname> <given-names>A. M.</given-names></name></person-group> (<year>2016</year>). <source>Challenges in mathematics learning: A study from school students' perspective</source>: <publisher-name>Universiti Teknologi Malaysia</publisher-name>.</citation></ref>
<ref id="ref65"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rodr&#x00ED;guez Mart&#x00ED;nez</surname> <given-names>S.</given-names></name> <name><surname>Pi&#x00F1;eiro Agu&#x00ED;n</surname> <given-names>I.</given-names></name> <name><surname>G&#x00F3;mez Taibo</surname> <given-names>M. L.</given-names></name> <name><surname>Regueiro Fern&#x00E1;ndez</surname> <given-names>B.</given-names></name> <name><surname>Est&#x00E9;vez Blanco</surname> <given-names>I.</given-names></name> <name><surname>Valle Arias</surname> <given-names>A.</given-names></name></person-group> (<year>2017</year>). <article-title>An explanatory model of maths achievement: perceived parental involvement and academic motivation</article-title>. <source>Psicothema</source> <volume>2</volume>, <fpage>184</fpage>&#x2013;<lpage>190</lpage>. doi: <pub-id pub-id-type="doi">10.7334/psicothema2017.32</pub-id>, PMID: <pub-id pub-id-type="pmid">28438240</pub-id></citation></ref>
<ref id="ref66"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rodriguez</surname> <given-names>E. T.</given-names></name> <name><surname>Tamis-LeMonda</surname> <given-names>C. S.</given-names></name></person-group> (<year>2011</year>). <article-title>Trajectories of the home learning environment across the first 5 years: associations with children&#x2019;s vocabulary and literacy skills at prekindergarten</article-title>. <source>Child Dev.</source> <volume>82</volume>, <fpage>1058</fpage>&#x2013;<lpage>1075</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.1467-8624.2011.01614.x</pub-id>, PMID: <pub-id pub-id-type="pmid">21679179</pub-id></citation></ref>
<ref id="ref68"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Roy</surname> <given-names>M.</given-names></name> <name><surname>Giraldo-Garc&#x00ED;a</surname> <given-names>R.</given-names></name></person-group> (<year>2018</year>). <article-title>The role of parental involvement and social/emotional skills in academic achievement: global perspectives</article-title>. <source>Sch. Community J.</source> <volume>28</volume>, <fpage>29</fpage>&#x2013;<lpage>46</lpage>.</citation></ref>
<ref id="ref69"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryan</surname> <given-names>R. M.</given-names></name> <name><surname>Deci</surname> <given-names>E. L.</given-names></name></person-group> (<year>2000</year>). <article-title>Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being</article-title>. <source>Am. Psychol.</source> <volume>55</volume>, <fpage>68</fpage>&#x2013;<lpage>78</lpage>. doi: <pub-id pub-id-type="doi">10.1037//0003-066x.55.1.68</pub-id>, PMID: <pub-id pub-id-type="pmid">11392867</pub-id></citation></ref>
<ref id="ref70"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Santana</surname> <given-names>M.</given-names></name> <name><surname>Nussbaum</surname> <given-names>M.</given-names></name> <name><surname>Carmona</surname> <given-names>R.</given-names></name> <name><surname>Claro</surname> <given-names>S.</given-names></name></person-group> (<year>2019</year>). <article-title>Having fun doing math: text messages promoting parent involvement increased student learning</article-title>. <source>J. Res. Educ. Effect.</source> <volume>12</volume>, <fpage>251</fpage>&#x2013;<lpage>273</lpage>. doi: <pub-id pub-id-type="doi">10.1080/19345747.2018.1543374</pub-id></citation></ref>
<ref id="ref71"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sarmiento</surname> <given-names>C. P.</given-names></name></person-group> (<year>2017</year>). <article-title>Student perceptions of online homework in mathematics of accounting and finance</article-title>. <source>Adv. Sci. Lett.</source> <volume>23</volume>, <fpage>1122</fpage>&#x2013;<lpage>1125</lpage>. doi: <pub-id pub-id-type="doi">10.1166/asl.2017.7513</pub-id></citation></ref>
<ref id="ref72"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schunk</surname> <given-names>D. H.</given-names></name> <name><surname>Miller</surname> <given-names>S. D.</given-names></name></person-group> (<year>2002</year>). <article-title>Self-efficacy and adolescents&#x2019; motivation</article-title>. <source>Acad. Motivation Adolescents</source> <volume>2</volume>, <fpage>29</fpage>&#x2013;<lpage>52</lpage>.</citation></ref>
<ref id="ref73"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schunk</surname> <given-names>D.</given-names></name> <name><surname>Zimmerman</surname> <given-names>B.</given-names></name></person-group> (<year>2006</year>). <article-title>Competence and control beliefs</article-title>. <source>Handbook Educ. Psychol.</source>, <fpage>349</fpage>&#x2013;<lpage>367</lpage>. doi: <pub-id pub-id-type="doi">10.4324/9780203874790.ch16</pub-id></citation></ref>
<ref id="ref75"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Silinskas</surname> <given-names>G.</given-names></name> <name><surname>Kikas</surname> <given-names>E.</given-names></name></person-group> (<year>2019</year>). <article-title>Parental involvement in math homework: links to children&#x2019;s performance and motivation</article-title>. <source>Scand. J. Educ. Res.</source> <volume>63</volume>, <fpage>17</fpage>&#x2013;<lpage>37</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00313831.2017.1324901</pub-id></citation></ref>
<ref id="ref76"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Silinskas</surname> <given-names>G.</given-names></name> <name><surname>Kiuru</surname> <given-names>N.</given-names></name> <name><surname>Aunola</surname> <given-names>K.</given-names></name> <name><surname>Lerkkanen</surname> <given-names>M. K.</given-names></name> <name><surname>Nurmi</surname> <given-names>J. E.</given-names></name></person-group> (<year>2015</year>). <article-title>The developmental dynamics of children&#x2019;s academic performance and mothers&#x2019; homework-related affect and practices</article-title>. <source>Dev. Psychol.</source> <volume>51</volume>, <fpage>419</fpage>&#x2013;<lpage>433</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0038908</pub-id>, PMID: <pub-id pub-id-type="pmid">25798959</pub-id></citation></ref>
<ref id="ref77"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Silinskas</surname> <given-names>G.</given-names></name> <name><surname>Niemi</surname> <given-names>P.</given-names></name> <name><surname>Lerkkanen</surname> <given-names>M. K.</given-names></name> <name><surname>Nurmi</surname> <given-names>J. E.</given-names></name></person-group> (<year>2013</year>). <article-title>Children&#x2019;s poor academic performance evokes parental homework assistance&#x2014;but does it help?</article-title> <source>Int. J. Behav. Dev.</source> <volume>37</volume>, <fpage>44</fpage>&#x2013;<lpage>56</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0165025412456146</pub-id></citation></ref>
<ref id="ref78"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Skaliotis</surname> <given-names>E.</given-names></name></person-group> (<year>2010</year>). <article-title>Changes in parental involvement in secondary education: an exploration study using the longitudinal study of young people in England</article-title>. <source>Br. Educ. Res. J.</source> <volume>36</volume>, <fpage>975</fpage>&#x2013;<lpage>994</lpage>. doi: <pub-id pub-id-type="doi">10.1080/01411920903342020</pub-id></citation></ref>
<ref id="ref80"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Szczygiel</surname> <given-names>M.</given-names></name></person-group> (<year>2020</year>). <article-title>Gender, general anxiety, math anxiety and math achievement in early school-age children</article-title>. <source>Issues Educ. Res.</source> <volume>23</volume>, <fpage>1023</fpage>&#x2013;<lpage>1054</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s11218-020-09570-2</pub-id></citation></ref>
<ref id="ref81"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tamayo Martinez</surname> <given-names>N.</given-names></name> <name><surname>Xerxa</surname> <given-names>Y.</given-names></name> <name><surname>Law</surname> <given-names>J.</given-names></name> <name><surname>Serdarevic</surname> <given-names>F.</given-names></name> <name><surname>Jansen</surname> <given-names>P. W.</given-names></name> <name><surname>Tiemeier</surname> <given-names>H.</given-names></name></person-group> (<year>2022</year>). <article-title>Double advantage of parental education for child educational achievement: the role of parenting and child intelligence</article-title>. <source>Eur. J. Pub. Health</source> <volume>32</volume>, <fpage>690</fpage>&#x2013;<lpage>695</lpage>. doi: <pub-id pub-id-type="doi">10.1093/eurpub/ckac044</pub-id>, PMID: <pub-id pub-id-type="pmid">35554528</pub-id></citation></ref>
<ref id="ref82"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tan</surname> <given-names>C. Y.</given-names></name> <name><surname>Lyu</surname> <given-names>M.</given-names></name> <name><surname>Peng</surname> <given-names>B.</given-names></name></person-group> (<year>2020</year>). <article-title>Academic benefits from parental involvement are stratified by parental socioeconomic status: a meta-analysis</article-title>. <source>Parenting</source> <volume>20</volume>, <fpage>241</fpage>&#x2013;<lpage>287</lpage>. doi: <pub-id pub-id-type="doi">10.1080/15295192.2019.1694836</pub-id></citation></ref>
<ref id="ref83"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tang</surname> <given-names>T. T.</given-names></name> <name><surname>Tran</surname> <given-names>D. H. T.</given-names></name></person-group> (<year>2023</year>). <article-title>Parental influence on high school students&#x2019; mathematics performance in Vietnam</article-title>. <source>Eurasia J. Mathematics, Sci. Technol. Educ.</source> <volume>19</volume>:<fpage>em2249</fpage>. doi: <pub-id pub-id-type="doi">10.29333/ejmste/13068</pub-id></citation></ref>
<ref id="ref84"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Veas</surname> <given-names>A.</given-names></name> <name><surname>Castej&#x00F3;n</surname> <given-names>J. L.</given-names></name> <name><surname>Mi&#x00F1;ano</surname> <given-names>P.</given-names></name> <name><surname>Gilar-Corb&#x00ED;</surname> <given-names>R.</given-names></name></person-group> (<year>2019</year>). <article-title>Relationship between parent involvement and academic achievement through meta-cognitive strategies: a multiple multilevel mediation analysis</article-title>. <source>Br. J. Educ. Psychol.</source> <volume>89</volume>, <fpage>393</fpage>&#x2013;<lpage>411</lpage>. doi: <pub-id pub-id-type="doi">10.1111/bjep.12245</pub-id>, PMID: <pub-id pub-id-type="pmid">30198550</pub-id></citation></ref>
<ref id="ref85"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Viljaranta</surname> <given-names>J.</given-names></name> <name><surname>Silinskas</surname> <given-names>G.</given-names></name> <name><surname>Lerkkanen</surname> <given-names>M. K.</given-names></name> <name><surname>Hirvonen</surname> <given-names>R.</given-names></name> <name><surname>Pakarinen</surname> <given-names>E.</given-names></name> <name><surname>Poikkeus</surname> <given-names>A. M.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>Maternal homework assistance and children's task-persistent behavior in elementary school</article-title>. <source>Learn. Instr.</source> <volume>56</volume>, <fpage>54</fpage>&#x2013;<lpage>63</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.learninstruc.2018.04.005</pub-id></citation></ref>
<ref id="ref87"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>X.</given-names></name> <name><surname>Du</surname> <given-names>K.</given-names></name> <name><surname>Zhao</surname> <given-names>M.</given-names></name> <name><surname>Ma</surname> <given-names>Y.</given-names></name> <name><surname>Zang</surname> <given-names>S.</given-names></name></person-group> (<year>2024</year>). <article-title>The power of supportive parenting on children&#x2019;s mathematical performance: evidence from a longitudinal study</article-title>. <source>Sci. Rep.</source> <volume>14</volume>:<fpage>23247</fpage>. doi: <pub-id pub-id-type="doi">10.1038/s41598-024-73930-7</pub-id></citation></ref>
<ref id="ref88"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Waswa</surname> <given-names>D. W.</given-names></name> <name><surname>Al-kassab</surname> <given-names>M. M.</given-names></name></person-group> (eds.) (<year>2022</year>). &#x201C;<article-title>Mathematics learning challenges and difficulties: a students&#x2019; perspective</article-title>&#x201D; in <source>International conference on mathematics and computations</source> (<publisher-loc>Singapore</publisher-loc>: <publisher-name>Springer Nature Singapore</publisher-name>), <fpage>311</fpage>&#x2013;<lpage>323</lpage>.</citation></ref>
<ref id="ref89"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Wilder</surname> <given-names>S.</given-names></name></person-group> (<year>2023</year>). &#x201C;<article-title>Effects of parental involvement on academic achievement: a meta-synthesis</article-title>&#x201D; in <source>Mapping the field</source>. (<publisher-name>Routledge</publisher-name>), <fpage>137</fpage>&#x2013;<lpage>157</lpage>.</citation></ref>
<ref id="ref91"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xu</surname> <given-names>J.</given-names></name> <name><surname>Du</surname> <given-names>J.</given-names></name> <name><surname>Wu</surname> <given-names>S.</given-names></name> <name><surname>Ripple</surname> <given-names>H.</given-names></name> <name><surname>Cosgriff</surname> <given-names>A.</given-names></name></person-group> (<year>2018</year>). <article-title>Reciprocal effects among parental homework support, effort, and achievement? An empirical investigation</article-title>. <source>Front. Psychol.</source> <volume>9</volume>:<fpage>2334</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyg.2018.02334</pub-id>, PMID: <pub-id pub-id-type="pmid">30555373</pub-id></citation></ref>
<ref id="ref92"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xu</surname> <given-names>J.</given-names></name> <name><surname>Guo</surname> <given-names>S.</given-names></name> <name><surname>Feng</surname> <given-names>Y.</given-names></name> <name><surname>Ma</surname> <given-names>Y.</given-names></name> <name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>N&#x00FA;&#x00F1;ez</surname> <given-names>J. C.</given-names></name> <etal/></person-group>. (<year>2024</year>). <article-title>Parental homework involvement and students&#x2019; achievement: a three-level meta-analysis</article-title>. <source>Psicothema</source> <volume>36</volume>, <fpage>1</fpage>&#x2013;<lpage>14</lpage>. doi: <pub-id pub-id-type="doi">10.7334/psicothema2023.92</pub-id>, PMID: <pub-id pub-id-type="pmid">38227295</pub-id></citation></ref>
</ref-list>
</back>
</article>