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<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>
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<article-id pub-id-type="doi">10.3389/fpsyg.2025.1614109</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Understanding effects of engaging online learning environments on students&#x2019; cognitive engagement and well-being: the role of academic self-concept and flow</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Shi</surname><given-names>Yafei</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2007720/overview"/>
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<contrib contrib-type="author">
<name><surname>Chen</surname><given-names>Mengjin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Wei</surname><given-names>Yantao</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Shen</surname><given-names>Junli</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Wu</surname><given-names>Mingyue</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Zhu</surname><given-names>Ke</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Faculty of Education, Henan Normal University</institution>, <addr-line>Xinxiang, Henan</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Henan Collaborative Innovation Center for Intelligent Education, Henan Normal University</institution>, <addr-line>Xinxiang, Henan</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Faculty of Artificial Intelligence in Education, Central China Normal University</institution>, <addr-line>Wuhan, Hubei</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0002">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3145925/overview">Daniel H. Robinson</ext-link>, The University of Texas at Arlington College of Education, United States</p></fn>
<fn fn-type="edited-by" id="fn0003">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2853518/overview">Ashraf Elsafty</ext-link>, ESLSCA University, Egypt</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3064572/overview">M. Miftach Fakhri</ext-link>, Universitas Negeri Makassar, Indonesia</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3091571/overview">Unika Prihatsanti</ext-link>, Diponegoro University, Indonesia</p></fn>
<corresp id="c001">&#x002A;Correspondence: Yantao Wei, <email>yantaowei@mail.ccnu.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1614109</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Shi, Chen, Wei, Shen, Wu and Zhu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Shi, Chen, Wei, Shen, Wu and Zhu</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>
<p>Engaging online learning environments (EOLE) is one of the most critical drivers of students&#x2019; engagement in online learning. However, discussions about how and to what extent EOLE affects students&#x2019; engagement are under-researched. Therefore, it is necessary to explore the effect of EOLE on students&#x2019; cognitive engagement. In this study, 368 graduate students enrolled in online courses were surveyed. The partial least square structural equation modeling was employed to explore the relationships among EOLE, academic self-concept, flow, cognitive engagement and well-being. Results showed that EOLE had positive effects on academic self-concept, flow, deep and shallow cognitive engagement, and well-being. In addition, academic self-concept mediated the effect of EOLE on well-being, but its mediating role between EOLE and both deep and shallow cognitive engagement was not observed. Flow mediated the effect of EOLE on both deep and shallow cognitive engagement, but its mediating role between EOLE and well-being was not significant. Furthermore, the effects of EOLE on both deep and shallow cognitive engagement were sequentially mediated through academic self-concept and flow. However, the sequential mediating effects of academic self-concept and flow in the relationship between EOLE and well-being were also not significant. This study suggests that practitioners and educators should design effective online learning environments to improve online learners&#x2019; engagement and well-being.</p>
</abstract>
<kwd-group>
<kwd>engaging online learning environments</kwd>
<kwd>cognitive engagement</kwd>
<kwd>well-being</kwd>
<kwd>academic self-concept</kwd>
<kwd>flow</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="9"/>
<equation-count count="0"/>
<ref-count count="119"/>
<page-count count="15"/>
<word-count count="11491"/>
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<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>Recent years have seen increased availability and adoption of online learning across all levels of education (<xref ref-type="bibr" rid="ref66">Lockee, 2021</xref>). Online learning offers more benefits to students, including flexibility of time and place, accessibility and efficiency (<xref ref-type="bibr" rid="ref55">Jiang et al., 2024</xref>; <xref ref-type="bibr" rid="ref88">Salas-Pilco et al., 2022</xref>), and opportunities for students who are unable to attend face-to-face classes due to work, family commitments or other urgent matters (<xref ref-type="bibr" rid="ref49">Heo et al., 2021</xref>; <xref ref-type="bibr" rid="ref97">Shi et al., 2024</xref>). Since the COVID-19 pandemic, educators have increasingly recognized the importance of online learning for students (<xref ref-type="bibr" rid="ref2">Alon et al., 2023</xref>). It provides learners with a continuous, learner-centered educational environment, and thus has been extensively adopted by higher education institutions worldwide (<xref ref-type="bibr" rid="ref111">Wang et al., 2022</xref>). Moreover, recent evidence shows that online learning could achieve comparable and better learning achievements compared to traditional in-person learning in higher education (<xref ref-type="bibr" rid="ref1">Alarifi and Song, 2024</xref>). Therefore, designing engaging online learning environments by educators and practitioners is crucial for students&#x2019; academic performance.</p>
<p>However, online learning also faces some challenges, such as insufficient teacher support, lack of motivation and engagement, issues of psychological well-being, and technical obstacles (<xref ref-type="bibr" rid="ref6">Barrot et al., 2021</xref>; <xref ref-type="bibr" rid="ref21">Chiu et al., 2021</xref>; <xref ref-type="bibr" rid="ref37">Fiddiyasari and Pustika, 2021</xref>; <xref ref-type="bibr" rid="ref121">Zhou and Yu, 2021</xref>). Researchers claimed that levels of students&#x2019; engagement, motivation, and course completion in online learning environments are lower than those in traditional educational settings (<xref ref-type="bibr" rid="ref102">Stark, 2019</xref>; <xref ref-type="bibr" rid="ref110">Wang et al., 2023</xref>). Furthermore, diminishing motivation and elevated workload in online learning settings may subsequently lead to compromised well-being (<xref ref-type="bibr" rid="ref100">Slack and Priestley, 2023</xref>). Learning engagement is a multidimensional concept, encompassing behavioral, emotional, and cognitive engagement (<xref ref-type="bibr" rid="ref38">Fredricks et al., 2004</xref>). Cognitive engagement is an important component of student engagement, which involves high-level knowledge construction and meaningful processing strategy (<xref ref-type="bibr" rid="ref45">Guo et al., 2023</xref>; <xref ref-type="bibr" rid="ref88">Salas-Pilco et al., 2022</xref>; <xref ref-type="bibr" rid="ref98">Shi et al., 2021</xref>). Well-being involves all the ways people positively experience and evaluate their lives (<xref ref-type="bibr" rid="ref108">Tov, 2018</xref>). A few studies have explored the relationship between online learning environments and cognitive engagement, and well-being. For instance, Liu and Duan&#x2019; s (2022) research findings have indicated that students&#x2019; self-, peer-, and technological factors in online learning environments can significantly enhance individual deep and shallow cognitive engagement. An empirical study shows that, in online learning environments, perceived social support is positively correlated with life satisfaction and positive emotions among Chinese college students, while negatively correlated with negative emotions (<xref ref-type="bibr" rid="ref51">Huang and Zhang, 2022</xref>). Although previous studies have shown that the quality of online learning environments positively affects students&#x2019; cognitive engagement and well-being, there is a scarcity of studies examining the impacts of online learning environments on students&#x2019; cognitive engagement and well-being with empirical research method in higher education contexts.</p>
<p>Academic self-concept is the students&#x2019; self-evaluation of their competence in a particular field (<xref ref-type="bibr" rid="ref91">Schnitzler et al., 2021</xref>). Academic self-concept is considered to be associated with various desirable educational outcomes, such as academic performance and satisfaction (<xref ref-type="bibr" rid="ref113">Wu et al., 2021</xref>; <xref ref-type="bibr" rid="ref116">Zhan and Mei, 2013</xref>). Students with higher academic self-concept tend to choose more challenging learning environments, because it can stimulate students&#x2019; interest and enthusiasm for learning, thereby enhancing their satisfaction (<xref ref-type="bibr" rid="ref116">Zhan and Mei, 2013</xref>). However, students may show lower self-concept in online learning environments due to the limited interaction and support provided by online contexts (<xref ref-type="bibr" rid="ref9">Bringula et al., 2021</xref>; <xref ref-type="bibr" rid="ref116">Zhan and Mei, 2013</xref>). Existing research on academic self-concept primarily focuses on traditional learning environments and children or adolescents, few studies exploring the impact of online learning environments on academic self-concept in higher education contexts (<xref ref-type="bibr" rid="ref44">Guo et al., 2022</xref>; <xref ref-type="bibr" rid="ref103">Steinberg et al., 2024</xref>). Evidence shows that academic self-concept is closely related to cognitive learning strategies (<xref ref-type="bibr" rid="ref67">Lohbeck and Moschner, 2022</xref>) and well-being (<xref ref-type="bibr" rid="ref15">C&#x00E9;spedes et al., 2021</xref>). For instance, <xref ref-type="bibr" rid="ref119">Zhang et al. (2022)</xref> have demonstrated that academic self-concept positively influences deep learning in online learning environments. Similarly, the research findings of <xref ref-type="bibr" rid="ref24">Coutts et al. (2023)</xref> have revealed that self-concept is associated with well-being indicators (lower depressive symptoms and perceived stress, and higher satisfaction with life). Flow refers to the psychological experience of immersion in an activity and a sense of control over the surrounding environment (<xref ref-type="bibr" rid="ref34">Esteban-Millat et al., 2014</xref>). In online learning contexts, students&#x2019; perceptions of skills and challenges are important factors in determining their level of flow (<xref ref-type="bibr" rid="ref99">Shin, 2006</xref>). Spefically, when the challenge level is equal to or slightly higher than perceived skill, a flow experience may occur (<xref ref-type="bibr" rid="ref99">Shin, 2006</xref>). This indicates a potential relationship between academic self-concept and flow (<xref ref-type="bibr" rid="ref61">Lesmana, 2019</xref>). However, research exploring the relationship between academic self-concept and flow remains in its infancy. In addition, flow is another essential factor influencing cognitive engagement and well-being (<xref ref-type="bibr" rid="ref59">Landh&#x00E4;u&#x00DF;er and Keller, 2012</xref>; <xref ref-type="bibr" rid="ref70">Mao et al., 2024</xref>). A high level of concentration and enjoyment in the learning activity enables students to create a state of flow (<xref ref-type="bibr" rid="ref28">Czikszentmihalyi, 1990</xref>; <xref ref-type="bibr" rid="ref117">Zhang et al., 2024</xref>). Conversely, students may exhibit a low level of cognitive engagement when they experience a lack of interest and enjoyment from the learning activity (<xref ref-type="bibr" rid="ref91">Schnitzler et al., 2021</xref>). Therefore, flow could promote positive affect and well-being (<xref ref-type="bibr" rid="ref70">Mao et al., 2024</xref>). In addition, academic self-concept affects students&#x2019; motivation (<xref ref-type="bibr" rid="ref114">Wu and Kang, 2023</xref>), which in turn influences flow (<xref ref-type="bibr" rid="ref105">Suryaratri et al., 2022</xref>). For instance, the higher the students&#x2019; perceived competence, the more likely they are to experience enjoyment and show cognitive engagement (<xref ref-type="bibr" rid="ref91">Schnitzler et al., 2021</xref>). Although previous studies have shown that academic self-concept and flow are crucial for students&#x2019; engagement and well-being, the role of academic self-concept and flow in the effect of online learning environments on cognitive engagement and well-being remains underexplored.</p>
<p>To address the mentioned gaps, this study examines the effects of online learning environments on cognitive engagement and well-being and explores the sequential mediating effects of academic self-concept and flow in this relationship. This study sheds light on the design and implementation of an engaged and friendly online learning environment for practitioners and researchers.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Theoretical framework</title>
<p>Social cognitive theory (SCT) emphasizes the understanding of human behavior through the interactive influence of the environment, person, and behavior (<xref ref-type="bibr" rid="ref5">Bandura, 1991</xref>). SCT believes that people learn by observing others and the effects of their behavior, as well as through direct interaction with people or technology. Therefore, it is also called triadic reciprocal determinism (<xref ref-type="bibr" rid="ref96">Shahzad et al., 2025</xref>). SCT has been widely applied within psychological disciplines as well as in other fields such as education, business, and health (<xref ref-type="bibr" rid="ref94">Schunk and DiBenedetto, 2020</xref>). In educational settings, environmental factors are seen as elements that are physically external to the individual and that provide opportunities and social support for students to learn (<xref ref-type="bibr" rid="ref14">Carillo, 2010</xref>). Personal factors involve cognitions, beliefs, skills, and affect (<xref ref-type="bibr" rid="ref95">Schunk and Usher, 2012</xref>). Behavioral factors are related to components such as task selection, effort, persistence, and effective learning strategies (<xref ref-type="bibr" rid="ref93">Schunk and DiBenedetto, 2016</xref>). These three factors may be positively related to perceived and actual learning effectiveness at different stages of the learning process (<xref ref-type="bibr" rid="ref63">Lin et al., 2024</xref>). Personal factors engage in a dynamic and reciprocal interaction with both behaviors and environments (<xref ref-type="bibr" rid="ref94">Schunk and DiBenedetto, 2020</xref>). Based on SCT, this study conceptualizes these three distinct dimensions: environmental factors as online learning environments, individual factors as academic self-concept and flow state, and behavioral factors as students&#x2019; cognitive engagement and well-being.</p>
<sec id="sec3">
<label>2.1</label>
<title>Engaging online learning environments</title>
<p>Although online learning is widely applied in higher education due to its significant advantages (<xref ref-type="bibr" rid="ref111">Wang et al., 2022</xref>), it has long faced numerous challenges, with some of the major issues being high dropout rates, lack of motivation, and low levels of engagement (<xref ref-type="bibr" rid="ref50">Hoi, 2022</xref>; <xref ref-type="bibr" rid="ref102">Stark, 2019</xref>). Many reported challenges are related to interpersonal relationships and course quality in online learning environments, such as teaching presence, teacher support, and instructional strategies (<xref ref-type="bibr" rid="ref48">Heilporn et al., 2022</xref>; <xref ref-type="bibr" rid="ref81">Pan, 2022</xref>; <xref ref-type="bibr" rid="ref109">Turk et al., 2022</xref>). Therefore, researchers have conducted extensive investigations focusing on online learning environments where learning engagement is facilitated or inhibited by certain factors (<xref ref-type="bibr" rid="ref50">Hoi, 2022</xref>). For instance, <xref ref-type="bibr" rid="ref41">Gray et al. (2016)</xref> found that peer interaction and teacher presence could significantly contribute to student engagement in online learning environments. <xref ref-type="bibr" rid="ref23">Cole et al. (2021)</xref> examined the predicting role of student active learning practices and online learning climate (e.g., course structure and student connectedness) on engagement in online learning environments. In addition, <xref ref-type="bibr" rid="ref48">Heilporn et al. (2022)</xref> suggested that instructional strategies (e.g., trusting relationships, the relevance of activities, content, resources, and course pace) were significant antecedents of student engagement in online learning. Therefore, this study employed the framework of engaging online learning environments (EOLE) proposed by <xref ref-type="bibr" rid="ref50">Hoi (2022)</xref> featuring course clarity, student connectedness, course structure, provision of choice, teaching relevance, teacher emotional support, and teacher presence.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Cognitive engagement and well-being in EOLE</title>
<p>Cognitive engagement is defined as the extent to which individuals apply sophisticated learning strategies when undertaking a learning task (<xref ref-type="bibr" rid="ref20">Chiu, 2022</xref>). According to the levels of processing theory (<xref ref-type="bibr" rid="ref25">Craik and Lockhart, 1972</xref>), cognitive engagement consists of two distinct categories: deep and shallow (<xref ref-type="bibr" rid="ref42">Greene and Miller, 1996</xref>). Deep learning emphasizes individual understanding, constructing, reflecting, transferring, and implementing new knowledge (<xref ref-type="bibr" rid="ref119">Zhang et al., 2022</xref>). In contrast, shallow processing involves only superficial analysis of information (e.g., rote learning) (<xref ref-type="bibr" rid="ref104">Sugden et al., 2021</xref>). Prior research has shown that although deep and shallow cognitive engagement have opposite effects on learning performance, both deep and shallow cognitive engagement can facilitate learning in various contexts (<xref ref-type="bibr" rid="ref42">Greene and Miller, 1996</xref>). A higher level of cognitive engagement leads to better academic performance in online learning environments (<xref ref-type="bibr" rid="ref45">Guo et al., 2023</xref>). Some researchers believe that students who are engaged in a task or discussion will employ more advanced cognitive processing strategies (<xref ref-type="bibr" rid="ref12">Buijs and Admiraal, 2013</xref>; <xref ref-type="bibr" rid="ref65">Liu et al., 2023</xref>). When the learning environment (e.g., teacher support, student cohesion, equity, and interaction) supports student learning, students are more likely to exhibit cognitive engagement (<xref ref-type="bibr" rid="ref45">Guo et al., 2023</xref>; <xref ref-type="bibr" rid="ref106">Tas, 2016</xref>). For instance, based on the PST model, <xref ref-type="bibr" rid="ref62">Lin et al. (2022)</xref> explored the factors influencing students&#x2019; cognitive engagement in online learning environments. The results indicated that educational affordances positively enhance both deep and shallow cognitive engagement, while social and technological affordances significantly increase only shallow cognitive engagement. Nevertheless, how EOLE influences students&#x2019; cognitive engagement remains poorly explored.</p>
<p>Well-being is another important concept that is closely related to students&#x2019; learning and lives. The field of positive psychology has long established the three dimensions of well-being, namely, subjective well-being, social well-being, and psychological well-being (<xref ref-type="bibr" rid="ref77">Murphy, 2023</xref>). Subjective well-being is assessed as a triadic structure that includes a person&#x2019;s high positive emotions, low negative emotions, and high satisfaction with life (<xref ref-type="bibr" rid="ref30">Deci and Ryan, 2008</xref>; <xref ref-type="bibr" rid="ref31">Diener, 1984</xref>; <xref ref-type="bibr" rid="ref51">Huang and Zhang, 2022</xref>). Social well-being is described as five dimensions, named integration, contribution, coherence, actualization, and acceptance (<xref ref-type="bibr" rid="ref57">Keyes, 1998</xref>). Long-term psychological well-being does not mean that individuals feel good all the time, but rather that they can manage long-term negative emotions (<xref ref-type="bibr" rid="ref52">Huppert, 2009</xref>). Evidence shows that the learning environment is one of the most important factors influencing student&#x2019;s well-being (<xref ref-type="bibr" rid="ref112">Wasson et al., 2016</xref>). For instance, <xref ref-type="bibr" rid="ref122">Zhu and Van Winkel (2016)</xref> found that EOLE offered students with sickness the opportunity to continue their studies and interact with the school, which contributed to their mental well-being. In addition, online learning increases the time students spend on technological devices and sleep, while decreasing time spent on physical activities, potentially leading to reduced students&#x2019; well-being (<xref ref-type="bibr" rid="ref22">Cockerham et al., 2021</xref>). Therefore, it is essential to explore what influences cognitive engagement and well-being in online learning environments for developing appropriate pedagogical strategies to enhance students&#x2019; online learning experience and performance. Therefore, the Hypothesis was proposed as follows:</p>
<disp-quote>
<p><italic>H1</italic>: EOLE has a positive impact on (a) deep cognitive engagement, (b) shallow cognitive engagement, and (c) well-being.</p>
</disp-quote>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>The mediating role of academic self-concept on the link between EOLE and, cognitive engagement and well-being</title>
<p>Self-concept could be classically divided into two components: academic and non-academic (<xref ref-type="bibr" rid="ref71">Marsh and Shavelson, 1985</xref>). Academic self-concept refers to the mental representation of an individual&#x2019;s ability in academic and school subjects (<xref ref-type="bibr" rid="ref10">Brunner et al., 2010</xref>). Recently, the academic self-concept has become an important educational research topic because it significantly relates to many desired academic outcomes (<xref ref-type="bibr" rid="ref3">Arens et al., 2021</xref>). High-quality learning environments may contribute to students&#x2019; self-perception (<xref ref-type="bibr" rid="ref86">Rohan et al., 2022</xref>). When individuals reflect on their experiences in authentic learning environments, academic self-concept is formed (<xref ref-type="bibr" rid="ref17">Chen et al., 2021</xref>). Therefore, it is necessary to understand students&#x2019; academic self-concept, as it forms the foundation for fostering their interest in learning (<xref ref-type="bibr" rid="ref9">Bringula et al., 2021</xref>). However, few studies have explored the effect of EOLE on academic self-concept (<xref ref-type="bibr" rid="ref86">Rohan et al., 2022</xref>).</p>
<p>Academic self-concept is also associated with many desirable outcomes, such as academic performance, motivation, engagement, and well-being (<xref ref-type="bibr" rid="ref44">Guo et al., 2022</xref>; <xref ref-type="bibr" rid="ref3">Arens et al., 2021</xref>; <xref ref-type="bibr" rid="ref114">Wu and Kang, 2023</xref>; <xref ref-type="bibr" rid="ref15">C&#x00E9;spedes et al., 2021</xref>). For instance, <xref ref-type="bibr" rid="ref91">Schnitzler et al. (2021)</xref> found that the higher the students&#x2019; perceived competence, the more likely they would be cognitively engaged. <xref ref-type="bibr" rid="ref11">Buhs (2005)</xref> suggested that social support from learning environments influences students&#x2019; perceptions of competence, which in turn promotes their engagement. In addition, academic self-concept is a major predictor of well-being (<xref ref-type="bibr" rid="ref15">C&#x00E9;spedes et al., 2021</xref>). Previous studies have shown that the self-concept of adolescents was positively correlated with the positive dimensions of their well-being (e.g., positive affect and life satisfaction), but not with negative affect (<xref ref-type="bibr" rid="ref73">McCullough et al., 2000</xref>). Therefore, this study hypotheses that.</p>
<disp-quote>
<p><italic>H2</italic>: EOLE indirectly impacts (a) deep and (b) shallow cognitive engagement, and (c) well-being through academic self-concept.</p>
</disp-quote>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>The mediating role of flow on the link between EOLE and, cognitive engagement and well-being</title>
<p>Flow refers to a highly focused state of complete absorption in an activity, which is characterized by intense focus, control, interest, and a balance between skills and challenges (<xref ref-type="bibr" rid="ref27">Csikszentmihalyi and Csikzentmihaly, 1990</xref>; <xref ref-type="bibr" rid="ref40">Goh and Yang, 2021</xref>). When a student is cognitively engaged in a learning activity, it would result in a positive flow experience (<xref ref-type="bibr" rid="ref28">Czikszentmihalyi, 1990</xref>; <xref ref-type="bibr" rid="ref59">Landh&#x00E4;u&#x00DF;er and Keller, 2012</xref>; <xref ref-type="bibr" rid="ref70">Mao et al., 2024</xref>; <xref ref-type="bibr" rid="ref105">Suryaratri et al., 2022</xref>). Therefore, a lack of autonomy experience reduces the likelihood of an individual entering a flow state (<xref ref-type="bibr" rid="ref7">Barthelm&#x00E4;s and Keller, 2021</xref>). Studies have shown that some activities can induce a flow tendency to a certain extent (<xref ref-type="bibr" rid="ref84">Pritikin and Schmidt, 2022</xref>). In educational contexts, flow could foster motivation, cognitive ability, academic performance, and creativity (<xref ref-type="bibr" rid="ref26">Csikszentmihalhi, 2020</xref>).</p>
<p>Studies found that EOLE was significantly associated with flow state (<xref ref-type="bibr" rid="ref34">Esteban-Millat et al., 2014</xref>). For instance, <xref ref-type="bibr" rid="ref80">&#x00D6;zhan and Kocadere (2020)</xref> showed that flow is one of the important factors for academic success in gamified online learning environments. On the other hand, cognitive engagement is influenced by the flow state in online learning (<xref ref-type="bibr" rid="ref59">Landh&#x00E4;u&#x00DF;er and Keller, 2012</xref>). For instance, <xref ref-type="bibr" rid="ref29">De Manzano et al. (2010)</xref> indicate that a flow state could be experienced when deeply engaged and highly focused on a task. Furthermore, a positive flow experience is important for happiness and well-being (<xref ref-type="bibr" rid="ref8">Bonaiuto et al., 2016</xref>). However, some studies have also found no significant link between flow and well-being. For instance, <xref ref-type="bibr" rid="ref85">Rheinberg et al. (2007)</xref> observe that the flow experience at work is not highly correlated with well-being. Therefore, the relationship between flow and well-being needs to be further explored in online educational contexts. Therefore, the hypothesis was proposed:</p>
<disp-quote>
<p><italic>H3</italic>: EOLE indirectly impacts (a) deep and (b) shallow cognitive engagement, and (c) well-being through flow.</p>
</disp-quote>
</sec>
<sec id="sec7">
<label>2.5</label>
<title>The sequential mediating effects of academic self-concept and flow on the relationship between EOLE and, cognitive engagement and well-being</title>
<p>Perceived ability is a general assessment of self-concept in a specific situation (<xref ref-type="bibr" rid="ref54">Jackson et al., 2001</xref>). One of the conditions for creating flow is a balance between task difficulty and perceived abilities (<xref ref-type="bibr" rid="ref29">De Manzano et al., 2010</xref>). If students are not confident in his or her ability, it is difficult to get into the flow state (<xref ref-type="bibr" rid="ref61">Lesmana, 2019</xref>). This means that passive activities do not involve a skill component and therefore are not associated with the flow experience (<xref ref-type="bibr" rid="ref7">Barthelm&#x00E4;s and Keller, 2021</xref>). Consequently, the academic self-concept is a prerequisite for flow. Relevant research has shown that flow could be a driver of student engagement in the classroom (<xref ref-type="bibr" rid="ref61">Lesmana, 2019</xref>), and self-concept and self-efficacy are factors in the development of flow (<xref ref-type="bibr" rid="ref54">Jackson et al., 2001</xref>; <xref ref-type="bibr" rid="ref75">Mesurado et al., 2016</xref>). Therefore, we assume that:</p>
<disp-quote>
<p><italic>H4</italic>: Academic self-concept and flow sequentially mediate the relationship between EOLE and (a) deep and (b) shallow cognitive engagement, and (c) well-being.</p>
</disp-quote>
<p>In sum, the hypothetical model is presented in <xref ref-type="fig" rid="fig1">Figure 1</xref>. It was proposed that EOLE not only influenced cognitive engagement and well-being directly but also through the mediating role of academic self-concept and flow.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The proposed research model.</p>
</caption>
<graphic xlink:href="fpsyg-16-1614109-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram showing relationships between five concepts: "Engaging online learning environments" leads to "Academic self-concept," which connects to "Cognitive engagement," "Well-being," and "Flow." Each concept is linked by arrows indicating influence.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="methods" id="sec8">
<label>3</label>
<title>Methods</title>
<sec id="sec9">
<label>3.1</label>
<title>Participants and procedure</title>
<p>Participants in this study consisted of graduate students who enrolled in the two-month online course &#x201C;Research Ethics and Academic Standards,&#x201D; offered by Henan Normal University. Students who completed this course voluntarily elected to participate in the study. The questionnaire was distributed through WJX tools<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> in Winter 2024. Before completing the questionnaire, all participants were informed of the purpose of the survey and participated voluntarily and anonymously. This study has been approved by our university&#x2019;s Research Ethics Committee. Then, participants were required to complete a series of questionnaires, including demographic information and the items assessing EOLE, academic self-concept, flow, deep and shallow cognitive engagement, well-being. Finally, a total of 368 graduate students were surveyed. After receiving the data, we eliminated 31 students who provided invalid responses and the valid response rate was 91.58%. As shown in <xref ref-type="table" rid="tab1">Table 1</xref>, the average age of remaining participants was about 23 with a range from 19 to 28&#x202F;years. Males and females account for 46.9% (<italic>n</italic>&#x202F;=&#x202F;158) and 53.1% (<italic>n</italic>&#x202F;=&#x202F;179) respectively. 52.5% (<italic>n</italic>&#x202F;=&#x202F;177) of them are in the first year of graduate studies, 40.9% (<italic>n</italic>&#x202F;=&#x202F;138) in the second year, and 6.5% (<italic>n</italic>&#x202F;=&#x202F;22) in the third year.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Respondents profile.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Demographics</th>
<th align="center" valign="top">Number</th>
<th align="center" valign="top">Percent (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="3">Gender</td>
</tr>
<tr>
<td align="left" valign="top">Male</td>
<td align="center" valign="top">158</td>
<td align="center" valign="top">46.9</td>
</tr>
<tr>
<td align="left" valign="top">Female</td>
<td align="center" valign="top">179</td>
<td align="center" valign="top">53.1</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="3">Age</td>
</tr>
<tr>
<td align="left" valign="top">19</td>
<td align="center" valign="top">2</td>
<td align="center" valign="top">0.6</td>
</tr>
<tr>
<td align="left" valign="top">21</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">3.0</td>
</tr>
<tr>
<td align="left" valign="top">22</td>
<td align="center" valign="top">84</td>
<td align="center" valign="top">24.9</td>
</tr>
<tr>
<td align="left" valign="top">23</td>
<td align="center" valign="top">110</td>
<td align="center" valign="top">32.6</td>
</tr>
<tr>
<td align="left" valign="top">24</td>
<td align="center" valign="top">74</td>
<td align="center" valign="top">22.0</td>
</tr>
<tr>
<td align="left" valign="top">25</td>
<td align="center" valign="top">36</td>
<td align="center" valign="top">10.7</td>
</tr>
<tr>
<td align="left" valign="top">26</td>
<td align="center" valign="top">8</td>
<td align="center" valign="top">2.4</td>
</tr>
<tr>
<td align="left" valign="top">27</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">1.2</td>
</tr>
<tr>
<td align="left" valign="top">28</td>
<td align="center" valign="top">9</td>
<td align="center" valign="top">2.7</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="3">Grade</td>
</tr>
<tr>
<td align="left" valign="top">1</td>
<td align="center" valign="top">177</td>
<td align="center" valign="top">52.5</td>
</tr>
<tr>
<td align="left" valign="top">2</td>
<td align="center" valign="top">138</td>
<td align="center" valign="top">40.9</td>
</tr>
<tr>
<td align="left" valign="top">3</td>
<td align="center" valign="top">22</td>
<td align="center" valign="top">6.5</td>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Ranking</td>
</tr>
<tr>
<td align="left" valign="top">Upper middle</td>
<td align="center" valign="top">139</td>
<td align="center" valign="top">41.2</td>
</tr>
<tr>
<td align="left" valign="top">Middle</td>
<td align="center" valign="top">144</td>
<td align="center" valign="top">42.7</td>
</tr>
<tr>
<td align="left" valign="top">Lower middle</td>
<td align="center" valign="top">54</td>
<td align="center" valign="top">16.0</td>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Region</td>
</tr>
<tr>
<td align="left" valign="top">Urban</td>
<td align="center" valign="top">111</td>
<td align="center" valign="top">32.9</td>
</tr>
<tr>
<td align="left" valign="top">Rural</td>
<td align="center" valign="top">226</td>
<td align="center" valign="top">67.1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec10">
<label>3.2</label>
<title>Instruments</title>
<p>The questionnaire was designed in two parts. The first part was to collect participants&#x2019; demographic information. The other was employed to collect participant&#x2019;s perceptions including EOLE, academic self-concept, flow, deep and shallow cognitive engagement, and well-being. First, the questionnaire was translated into Chinese by two doctoral students. Second, a researcher with 9&#x202F;years of rich teaching and research experience refined the language to make it more precise.</p>
<sec id="sec11">
<label>3.2.1</label>
<title>EOLE scale</title>
<p>22 items of the EOLE scale were adapted from <xref ref-type="bibr" rid="ref50">Hoi (2022)</xref> which consists of seven dimensions including course clarity (4 items), student connectedness (3 items), course structure (3 items), provision of choice (3 items), teacher relevance (3 items), teacher emotional support (3 items), and teacher presence (3 items). Sample items were, &#x201C;The organization of the course was clear&#x201D; and &#x201C;student as comfortable with one another.&#x201D; The questionnaire is a five-point Likert scale ranging from 1 (strongly disagree) to 5 (strongly agree). The internal consistency coefficients (Cronbach&#x2019;s alpha, <italic>&#x03B1;</italic>) were 0.954 for course clarity, 0.947 for student connectedness, 0.942 for course structure, 0.933 for provision of choice, 0.935 for teacher relevance, 0.940 for teacher emotional support, and 0.932 for teacher presence. The overall &#x03B1; coefficient of this EOLE scale was 0.980.</p>
</sec>
<sec id="sec12">
<label>3.2.2</label>
<title>Academic self-concept scale</title>
<p>All 8 items of the academic self-concept scale were adapted from <xref ref-type="bibr" rid="ref72">Matovu (2014)</xref> which involves academic confidence (3 items) and academic effort (5 items). The sample items were &#x201C;If I work hard, I think I can get better grades&#x201D; and &#x201C;I often do my course work without thinking.&#x201D; This questionnaire is a seven-point Likert scale ranging from 1 (strongly disagree) to 7 (strongly agree). The internal consistency &#x03B1; coefficients were 0.952 for academic confidence and 0.965 for academic effort, respectively. The overall &#x03B1; coefficient of this scale was 0.962.</p>
</sec>
<sec id="sec13">
<label>3.2.3</label>
<title>Flow scale</title>
<p>All 6 items of the flow scale were adapted from the flow experience (<xref ref-type="bibr" rid="ref82">Park et al., 2010</xref>). One of the items was that &#x201C;Taking an online course excited my curiosity.&#x201D; Example items include, &#x201C;The online course allowed me to control the whole learning process&#x201D; and &#x201C;Interacting with the online course made me curious.&#x201D; The questionnaire is a five-point Likert scale ranging from 1 (strongly disagree) to 5 (strongly agree). The internal consistency &#x03B1; coefficient of this scale was 0.965.</p>
</sec>
<sec id="sec14">
<label>3.2.4</label>
<title>Cognitive engagement scale</title>
<p>All 7 items of the cognitive engagement scale were adapted from <xref ref-type="bibr" rid="ref76">Miller et al. (1996)</xref> which consists of deep strategy use (4 items) and shallow processing strategy use (3 items). Example items were &#x201C;I work practice problems to check my understanding of new concepts or rules&#x201D; and &#x201C;When I study for tests I review my class notes and look at solved problems.&#x201D; This is a five-point Likert ranging from 1 (strongly disagree) to 5 (strongly agree). The &#x03B1; coefficient of this scale was 0.960 for deep strategy use and 0.942 for shallow processing strategy use, respectively, and the overall &#x03B1; value was 0.974.</p>
</sec>
<sec id="sec15">
<label>3.2.5</label>
<title>Well-being scale</title>
<p>Three items of the well-being scale were adapted from <xref ref-type="bibr" rid="ref32">Diener et al. (2010)</xref>. The questionnaire is a seven-point Likert ranging from 1 (strongly disagree) to 7 (strongly agree). Sample items were &#x201C;I lead a purposeful and meaningful life&#x201D; and &#x201C;My social relationships are supportive and rewarding.&#x201D; The internal consistency &#x03B1; coefficient of this scale was 0.955.</p>
</sec>
</sec>
<sec id="sec16">
<label>3.3</label>
<title>Data analysis</title>
<p>The collected data were analyzed by SPSS 25 and Smart PLS 3 tools. First, the consistency coefficients of scales were calculated using the SPSS tool. Second, confirmatory factor analysis was tested to ensure good indicator reliability. Finally, the structural equation modeling was conducted through Smart PLS to evaluate the hypothesized model. Partial Least Squares Structural Equation Modelling (PLS-SEM) was employed in this study. Compared to covariance-based SEM techniques, PLS-SEM is more flexible, which works particularly well with small sample sizes (<xref ref-type="bibr" rid="ref47">Hair et al., 2012</xref>). More importantly, PLS-SEM is well suited for exploratory research and theory development, as in the present study exploring sequentially mediate effects of academic self-concept and flow in the effects of EOLE on students&#x2019; cognitive engagement and well-being (<xref ref-type="bibr" rid="ref97">Shi et al., 2024</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec17">
<label>4</label>
<title>Results</title>
<sec id="sec18">
<label>4.1</label>
<title>Preliminary analysis</title>
<p>Skewness and kurtosis were employed to evaluate the normal distribution of the data. According to <xref ref-type="bibr" rid="ref68">Lu et al. (2023)</xref>, absolute values of skewness and kurtosis greater than 3.0 and 8.0, respectively, were defined as cutoff values for nonnormality. In this study, all measurements were within these ranges (skewness values between &#x2212;1.682 and 0.928, and Kurtosis values between &#x2212;1.996 and 2.630), indicating that all measured variables demonstrate normal distribution. As shown in <xref ref-type="table" rid="tab2">Table 2</xref>, Pearson&#x2019;s correlation analyses indicated that engaging online learning environments, academic self-concept, flow, cognitive engagement, and well-being were significantly correlated.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Descriptive statistic and Pearson correlation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">CC</th>
<th align="center" valign="top">SC</th>
<th align="center" valign="top">CS</th>
<th align="center" valign="top">POC</th>
<th align="center" valign="top">TR</th>
<th align="center" valign="top">TES</th>
<th align="center" valign="top">TP</th>
<th align="center" valign="top">AC</th>
<th align="center" valign="top">AE</th>
<th align="center" valign="top">Flow</th>
<th align="center" valign="top">CED</th>
<th align="center" valign="top">CES</th>
<th align="center" valign="top">WB</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">CC</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">SC</td>
<td align="center" valign="middle">0.926<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">CS</td>
<td align="center" valign="middle">0.862<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.893<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">POC</td>
<td align="center" valign="middle">0.837<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.847<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.909<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TR</td>
<td align="center" valign="middle">0.872<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.878<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.894<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.874<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TES</td>
<td align="center" valign="middle">0.853<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.834<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.862<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.848<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.925<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TP</td>
<td align="center" valign="middle">0.835<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.839<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.876<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.840<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.912<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.931<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">AC</td>
<td align="center" valign="middle">0.811<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.801<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.853<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.814<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.881<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.863<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.857<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">AE</td>
<td align="center" valign="middle">0.814<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.797<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.827<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.820<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.866<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.848<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.835<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.926<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Flow</td>
<td align="center" valign="middle">0.815<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.793<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.797<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.791<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.848<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.812<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.810<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.843<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.877<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">DCE</td>
<td align="center" valign="middle">0.813<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.796<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.814<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.797<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.840<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.818<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.823<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.829<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.810<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.840<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">SCE</td>
<td align="center" valign="middle">0.798<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.764<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.783<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.763<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.827<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.801<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.796<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.794<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.809<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.831<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.938<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">WB</td>
<td align="center" valign="middle">0.790<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.789<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.779<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.762<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.815<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.770<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.782<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.833<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.830<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.792<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.870<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.879<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
</tr>
<tr>
<td align="left" valign="middle">Min</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">4</td>
<td align="center" valign="middle">4</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">3</td>
<td align="center" valign="middle">4</td>
</tr>
<tr>
<td align="left" valign="middle">Max</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">7</td>
<td align="center" valign="middle">7</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">7</td>
</tr>
<tr>
<td align="left" valign="middle">Mean</td>
<td align="center" valign="middle">4.612</td>
<td align="center" valign="middle">4.611</td>
<td align="center" valign="middle">4.631</td>
<td align="center" valign="middle">4.591</td>
<td align="center" valign="middle">4.615</td>
<td align="center" valign="middle">4.622</td>
<td align="center" valign="middle">4.634</td>
<td align="center" valign="middle">6.532</td>
<td align="center" valign="middle">6.488</td>
<td align="center" valign="middle">4.526</td>
<td align="center" valign="middle">4.582</td>
<td align="center" valign="middle">4.572</td>
<td align="center" valign="middle">6.472</td>
</tr>
<tr>
<td align="left" valign="middle">SD</td>
<td align="center" valign="middle">0.533</td>
<td align="center" valign="middle">0.539</td>
<td align="center" valign="middle">0.521</td>
<td align="center" valign="middle">0.545</td>
<td align="center" valign="middle">0.519</td>
<td align="center" valign="middle">0.530</td>
<td align="center" valign="middle">0.519</td>
<td align="center" valign="middle">0.701</td>
<td align="center" valign="middle">0.711</td>
<td align="center" valign="middle">0.566</td>
<td align="center" valign="middle">0.551</td>
<td align="center" valign="middle">0.551</td>
<td align="center" valign="middle">0.747</td>
</tr>
<tr>
<td align="left" valign="middle">VAR</td>
<td align="center" valign="middle">0.284</td>
<td align="center" valign="middle">0.291</td>
<td align="center" valign="middle">0.271</td>
<td align="center" valign="top">0.297</td>
<td align="center" valign="top">0.270</td>
<td align="center" valign="top">0.281</td>
<td align="center" valign="top">0.269</td>
<td align="center" valign="top">0.492</td>
<td align="center" valign="top">0.505</td>
<td align="center" valign="top">0.320</td>
<td align="center" valign="top">0.304</td>
<td align="center" valign="top">0.304</td>
<td align="center" valign="top">0.558</td>
</tr>
<tr>
<td align="left" valign="top">Skewness</td>
<td align="center" valign="top">&#x2212;1.127</td>
<td align="center" valign="top">&#x2212;1.071</td>
<td align="center" valign="top">&#x2212;1.136</td>
<td align="center" valign="top">&#x2212;1.050</td>
<td align="center" valign="top">&#x2212;1.032</td>
<td align="center" valign="top">&#x2212;1.170</td>
<td align="center" valign="top">&#x2212;1.151</td>
<td align="center" valign="top">&#x2212;1.682</td>
<td align="center" valign="top">&#x2212;1.590</td>
<td align="center" valign="top">&#x2212;0.870</td>
<td align="center" valign="top">&#x2212;1.067</td>
<td align="center" valign="top">&#x2212;0.997</td>
<td align="center" valign="top">&#x2212;1.513</td>
</tr>
<tr>
<td align="left" valign="top">Kurtosis</td>
<td align="center" valign="top">0.378</td>
<td align="center" valign="top">0.121</td>
<td align="center" valign="top">0.387</td>
<td align="center" valign="top">0.169</td>
<td align="center" valign="top">0.104</td>
<td align="center" valign="top">0.531</td>
<td align="center" valign="top">0.412</td>
<td align="center" valign="top">2.630</td>
<td align="center" valign="top">2.497</td>
<td align="center" valign="top">&#x2212;0.186</td>
<td align="center" valign="top">0.265</td>
<td align="center" valign="top">0.083</td>
<td align="center" valign="top">1.860</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. CC, course clarity; SC, student connectedness; CS, course structure; POC, provision of choice; TR, teaching relevance; TES, teacher emotional support; TP, teacher presence; AC, academic confidence; AE, academic effort; DCE, deep cognitive engagement; SCE, shallow cognitive engagement; WB, well-being.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec19">
<label>4.2</label>
<title>Assessment of measurement model</title>
<p>To assess the composite reliability and convergence validity, indicator loadings, composite reliability (CR), and average variance extracted (AVE) were employed. The two-stage approach was used to evaluate higher-order constructs in measurement model assessment (<xref ref-type="bibr" rid="ref89">Sarstedt et al., 2019</xref>). In the first stage, lower-order constructs were evaluated. The results of composite reliability and convergence validity are shown in <xref ref-type="table" rid="tab3">Table 3</xref>. All indicator loadings were greater than 0.8, and all <italic>p</italic>-values were statistically significant (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), indicating that the indicator reliability was established. The composite reliability and convergence validity of the lower-order constructs were established in this study, with CR (0.956&#x2013;0.973) and AVE (&#x003E;0.8). The discriminant validity is presented in <xref ref-type="table" rid="tab4">Table 4</xref>. The correlation coefficients between each latent construct were less than the square root of AVE, indicating the lower-order constructs had discriminant validity.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>The reliability and convergence validity of the measurement model in the first stage.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="2" rowspan="2">Constructs</th>
<th align="center" valign="top" colspan="4">Significance Test of Parameters</th>
<th align="center" valign="top">Composite Reliability</th>
<th align="center" valign="top">Convergence Validity</th>
</tr>
<tr>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">STDEV</th>
<th align="center" valign="top"><italic>t</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
<th align="center" valign="top">CR</th>
<th align="center" valign="top">AVE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="4">CC</td>
<td align="center" valign="middle">CC1</td>
<td align="center" valign="middle">0.942</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">76.274</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="4">0.967</td>
<td align="center" valign="middle" rowspan="4">0.880</td>
</tr>
<tr>
<td align="center" valign="middle">CC2</td>
<td align="center" valign="middle">0.939</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">79.187</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">CC3</td>
<td align="center" valign="middle">0.935</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">78.082</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">CC4</td>
<td align="center" valign="middle">0.935</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">77.002</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">SC</td>
<td align="center" valign="middle">SC1</td>
<td align="center" valign="middle">0.951</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">102.051</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.966</td>
<td align="center" valign="middle" rowspan="3">0.904</td>
</tr>
<tr>
<td align="center" valign="middle">SC2</td>
<td align="center" valign="middle">0.955</td>
<td align="center" valign="middle">0.008</td>
<td align="center" valign="middle">117.158</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">SC3</td>
<td align="center" valign="middle">0.947</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">97.943</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">CS</td>
<td align="center" valign="middle">CS1</td>
<td align="center" valign="middle">0.951</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">91.027</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.963</td>
<td align="center" valign="middle" rowspan="3">0.896</td>
</tr>
<tr>
<td align="center" valign="middle">CS2</td>
<td align="center" valign="middle">0.928</td>
<td align="center" valign="middle">0.013</td>
<td align="center" valign="middle">68.777</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">CS3</td>
<td align="center" valign="middle">0.961</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">104.97</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">POC</td>
<td align="center" valign="middle">POC1</td>
<td align="center" valign="middle">0.950</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">100.463</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.957</td>
<td align="center" valign="middle" rowspan="3">0.882</td>
</tr>
<tr>
<td align="center" valign="middle">POC2</td>
<td align="center" valign="middle">0.927</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">74.366</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">POC3</td>
<td align="center" valign="middle">0.940</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">81.822</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">TR</td>
<td align="center" valign="middle">TR1</td>
<td align="center" valign="middle">0.950</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">101.833</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.959</td>
<td align="center" valign="middle" rowspan="3">0.885</td>
</tr>
<tr>
<td align="center" valign="middle">TR2</td>
<td align="center" valign="middle">0.924</td>
<td align="center" valign="middle">0.015</td>
<td align="center" valign="middle">60.348</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TR3</td>
<td align="center" valign="middle">0.948</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">98.727</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">TES</td>
<td align="center" valign="middle">TES1</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">101.231</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.961</td>
<td align="center" valign="middle" rowspan="3">0.892</td>
</tr>
<tr>
<td align="center" valign="middle">TES2</td>
<td align="center" valign="middle">0.935</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">80.267</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TES3</td>
<td align="center" valign="middle">0.946</td>
<td align="center" valign="middle">0.014</td>
<td align="center" valign="middle">68.909</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">TP</td>
<td align="center" valign="middle">TP1</td>
<td align="center" valign="middle">0.935</td>
<td align="center" valign="middle">0.017</td>
<td align="center" valign="middle">54.12</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.956</td>
<td align="center" valign="middle" rowspan="3">0.880</td>
</tr>
<tr>
<td align="center" valign="middle">TP2</td>
<td align="center" valign="middle">0.927</td>
<td align="center" valign="middle">0.014</td>
<td align="center" valign="middle">68.379</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TP3</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">96.277</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">AC</td>
<td align="center" valign="middle">AC1</td>
<td align="center" valign="middle">0.961</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">109.978</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.969</td>
<td align="center" valign="middle" rowspan="3">0.912</td>
</tr>
<tr>
<td align="center" valign="middle">AC2</td>
<td align="center" valign="middle">0.946</td>
<td align="center" valign="middle">0.013</td>
<td align="center" valign="middle">70.995</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">AC3</td>
<td align="center" valign="middle">0.959</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">93.909</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="5">AE</td>
<td align="center" valign="middle">AE1</td>
<td align="center" valign="middle">0.889</td>
<td align="center" valign="middle">0.031</td>
<td align="center" valign="middle">28.605</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="5">0.973</td>
<td align="center" valign="middle" rowspan="5">0.877</td>
</tr>
<tr>
<td align="center" valign="middle">AE2</td>
<td align="center" valign="middle">0.934</td>
<td align="center" valign="middle">0.014</td>
<td align="center" valign="middle">64.753</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">AE3</td>
<td align="center" valign="middle">0.949</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">86.839</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">AE4</td>
<td align="center" valign="middle">0.953</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">96.297</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">AE5</td>
<td align="center" valign="middle">0.957</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">110.754</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001; CC, course clarity; SC, student connectedness; CS, course structure; POC, provision of choice; TR, teaching relevance; TES, teacher emotional support; TP, teacher presence; AC, academic confidence; AE, academic effort; STDEV, standard deviation; AVE, average variance extracted.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>The discriminant validity of the measurement model in the first stage.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Constructs</th>
<th align="center" valign="top">AC</th>
<th align="center" valign="top">AE</th>
<th align="center" valign="top">CC</th>
<th align="center" valign="top">CS</th>
<th align="center" valign="top">POC</th>
<th align="center" valign="top">SC</th>
<th align="center" valign="top">TES</th>
<th align="center" valign="top">TP</th>
<th align="center" valign="top">TR</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">AC</td>
<td align="center" valign="middle"><bold>0.955</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">AE</td>
<td align="center" valign="middle">0.927</td>
<td align="center" valign="middle"><bold>0.937</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">CC</td>
<td align="center" valign="middle">0.811</td>
<td align="center" valign="middle">0.818</td>
<td align="center" valign="middle"><bold>0.938</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">CS</td>
<td align="center" valign="middle">0.854</td>
<td align="center" valign="middle">0.828</td>
<td align="center" valign="middle">0.862</td>
<td align="center" valign="middle"><bold>0.947</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">POC</td>
<td align="center" valign="middle">0.815</td>
<td align="center" valign="middle">0.819</td>
<td align="center" valign="middle">0.838</td>
<td align="center" valign="middle">0.910</td>
<td align="center" valign="middle"><bold>0.939</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">SC</td>
<td align="center" valign="middle">0.800</td>
<td align="center" valign="middle">0.800</td>
<td align="center" valign="middle">0.926</td>
<td align="center" valign="middle">0.893</td>
<td align="center" valign="middle">0.847</td>
<td align="center" valign="middle"><bold>0.951</bold></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TES</td>
<td align="center" valign="middle">0.864</td>
<td align="center" valign="middle">0.850</td>
<td align="center" valign="middle">0.853</td>
<td align="center" valign="middle">0.862</td>
<td align="center" valign="middle">0.849</td>
<td align="center" valign="middle">0.834</td>
<td align="center" valign="middle"><bold>0.945</bold></td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TP</td>
<td align="center" valign="middle">0.857</td>
<td align="center" valign="middle">0.837</td>
<td align="center" valign="middle">0.835</td>
<td align="center" valign="middle">0.876</td>
<td align="center" valign="middle">0.840</td>
<td align="center" valign="middle">0.839</td>
<td align="center" valign="middle">0.931</td>
<td align="center" valign="middle"><bold>0.938</bold></td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TR</td>
<td align="center" valign="middle">0.881</td>
<td align="center" valign="middle">0.868</td>
<td align="center" valign="middle">0.872</td>
<td align="center" valign="middle">0.895</td>
<td align="center" valign="middle">0.874</td>
<td align="center" valign="middle">0.878</td>
<td align="center" valign="middle">0.926</td>
<td align="center" valign="middle">0.912</td>
<td align="center" valign="middle"><bold>0.941</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Values of diagonal represent the square root of AVE.</p>
</table-wrap-foot>
</table-wrap>
<p>In the second stage, the higher-order constructs were evaluated (see <xref ref-type="table" rid="tab5">Table 5</xref>). All indicator loadings, CR, and AVE values exceed the suggested threshold. Therefore, the composite reliability and convergence validity of the constructs in the second stage were adequate. The discriminant validity in the second stage is shown in <xref ref-type="table" rid="tab6">Table 6</xref>. The correlation coefficients between each latent construct indicated a well-discriminant validity in the second stage.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>The reliability and convergence validity of the measurement model in the second stage.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="2" rowspan="2">Constructs</th>
<th align="center" valign="top" colspan="4">Significance test of parameters</th>
<th align="center" valign="top">Composite reliability</th>
<th align="center" valign="top">Convergence validity</th>
</tr>
<tr>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">STDEV</th>
<th align="center" valign="top"><italic>t</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
<th align="center" valign="top">CR</th>
<th align="center" valign="top">AVE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="7">EOLE</td>
<td align="center" valign="middle">CC</td>
<td align="center" valign="middle">0.935</td>
<td align="center" valign="middle">0.013</td>
<td align="center" valign="middle">73.035</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="7">0.983</td>
<td align="center" valign="middle" rowspan="7">0.892</td>
</tr>
<tr>
<td align="center" valign="middle">SC</td>
<td align="center" valign="middle">0.940</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">77.17</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">CS</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">105.878</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">POC</td>
<td align="center" valign="middle">0.931</td>
<td align="center" valign="middle">0.018</td>
<td align="center" valign="middle">51.894</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TR</td>
<td align="center" valign="middle">0.962</td>
<td align="center" valign="middle">0.007</td>
<td align="center" valign="middle">146.205</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TES</td>
<td align="center" valign="middle">0.947</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">91.655</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">TP</td>
<td align="center" valign="middle">0.944</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">90.951</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">ASC</td>
<td align="center" valign="middle">AC</td>
<td align="center" valign="middle">0.981</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">283.163</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="2">0.981</td>
<td align="center" valign="middle" rowspan="2">0.963</td>
</tr>
<tr>
<td align="center" valign="middle">AE</td>
<td align="center" valign="middle">0.982</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">283.637</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="6">Flow</td>
<td align="center" valign="middle">Flow1</td>
<td align="center" valign="middle">0.881</td>
<td align="center" valign="middle">0.018</td>
<td align="center" valign="middle">49.784</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="6">0.972</td>
<td align="center" valign="middle" rowspan="6">0.851</td>
</tr>
<tr>
<td align="center" valign="middle">Flow2</td>
<td align="center" valign="middle">0.922</td>
<td align="center" valign="middle">0.014</td>
<td align="center" valign="middle">68.247</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Flow3</td>
<td align="center" valign="middle">0.929</td>
<td align="center" valign="middle">0.014</td>
<td align="center" valign="middle">67.649</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Flow4</td>
<td align="center" valign="middle">0.937</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">82.683</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Flow5</td>
<td align="center" valign="middle">0.947</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">109.883</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Flow6</td>
<td align="center" valign="middle">0.917</td>
<td align="center" valign="middle">0.016</td>
<td align="center" valign="middle">56.368</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">DCE</td>
<td align="center" valign="middle">DCE1</td>
<td align="center" valign="middle">0.939</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">85.145</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="4">0.971</td>
<td align="center" valign="middle" rowspan="4">0.892</td>
</tr>
<tr>
<td align="center" valign="middle">DCE2</td>
<td align="center" valign="middle">0.928</td>
<td align="center" valign="middle">0.013</td>
<td align="center" valign="middle">69.315</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">DCE3</td>
<td align="center" valign="middle">0.952</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">97.173</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">DCE4</td>
<td align="center" valign="middle">0.958</td>
<td align="center" valign="middle">0.008</td>
<td align="center" valign="middle">119.368</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">SCE</td>
<td align="center" valign="middle">SCE1</td>
<td align="center" valign="middle">0.936</td>
<td align="center" valign="middle">0.012</td>
<td align="center" valign="middle">76.607</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.963</td>
<td align="center" valign="middle" rowspan="3">0.897</td>
</tr>
<tr>
<td align="center" valign="middle">SCE2</td>
<td align="center" valign="middle">0.944</td>
<td align="center" valign="middle">0.010</td>
<td align="center" valign="middle">93.257</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">SCE3</td>
<td align="center" valign="middle">0.962</td>
<td align="center" valign="middle">0.007</td>
<td align="center" valign="middle">139.632</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">WB</td>
<td align="center" valign="middle">WB1</td>
<td align="center" valign="middle">0.953</td>
<td align="center" valign="middle">0.008</td>
<td align="center" valign="middle">113.785</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle" rowspan="3">0.971</td>
<td align="center" valign="middle" rowspan="3">0.918</td>
</tr>
<tr>
<td align="center" valign="middle">WB2</td>
<td align="center" valign="middle">0.955</td>
<td align="center" valign="middle">0.008</td>
<td align="center" valign="middle">118.06</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">WB3</td>
<td align="center" valign="middle">0.966</td>
<td align="center" valign="middle">0.007</td>
<td align="center" valign="middle">147.38</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A;<italic>p</italic> &#x003C;&#x202F;0.001. EOLE, engaging online learning environment; ASC, academic self-concept; DCE, deep cognitive engagement; SCE, shallow cognitive engagement; WB, well-being; STDEV, standard deviation; AVE, average variance extracted.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>The discriminant validity of the measurement model in the second stage.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Constructs</th>
<th align="center" valign="top">ASC</th>
<th align="center" valign="top">CED</th>
<th align="center" valign="top">CES</th>
<th align="center" valign="top">ENO</th>
<th align="center" valign="top">Flow</th>
<th align="center" valign="top">WB</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">ASC</td>
<td align="center" valign="middle"><bold>0.982</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">DCE</td>
<td align="center" valign="middle">0.836</td>
<td align="center" valign="middle"><bold>0.944</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">SCE</td>
<td align="center" valign="middle">0.819</td>
<td align="center" valign="middle">0.939</td>
<td align="center" valign="middle"><bold>0.947</bold></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">EOLE</td>
<td align="center" valign="middle">0.902</td>
<td align="center" valign="middle">0.863</td>
<td align="center" valign="middle">0.838</td>
<td align="center" valign="middle"><bold>0.944</bold></td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Flow</td>
<td align="center" valign="middle">0.877</td>
<td align="center" valign="middle">0.842</td>
<td align="center" valign="middle">0.832</td>
<td align="center" valign="middle">0.859</td>
<td align="center" valign="middle"><bold>0.922</bold></td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">WB</td>
<td align="center" valign="middle">0.848</td>
<td align="center" valign="middle">0.870</td>
<td align="center" valign="middle">0.880</td>
<td align="center" valign="middle">0.830</td>
<td align="center" valign="middle">0.792</td>
<td align="center" valign="middle"><bold>0.958</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Values of diagonal represent the square root of AVE.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec20">
<label>4.3</label>
<title>Assessment of structural model</title>
<p>The fit of the structural model was evaluated using <italic>R</italic><sup>2</sup>, <italic>f</italic><sup>2</sup>, and <italic>Q</italic><sup>2</sup>. The recommended cut-off thresholds are <italic>R</italic><sup>2</sup>&#x202F;&#x003E;&#x202F;0.19 (<xref ref-type="bibr" rid="ref19">Chin, 1998</xref>), <italic>f</italic><sup>2</sup>&#x202F;&#x003E;&#x202F;0.02 (<xref ref-type="bibr" rid="ref19">Chin, 1998</xref>), and <italic>Q</italic><sup>2</sup>&#x202F;&#x003E;&#x202F;0 (<xref ref-type="bibr" rid="ref90">Sarstedt et al., 2021</xref>). As shown in <xref ref-type="table" rid="tab7">Tables 7</xref>, <xref ref-type="table" rid="tab8">8</xref>, all values of <italic>Q</italic><sup>2</sup> are greater than 0.6, which suggests that the predictive relevance of the structural model is strong. All endogenous variables of R<sup>2</sup> range from 0.745 to 0.814, which means that endogenous latent variables are adequately explained. The significant level of standardized path coefficients was examined through the bootstrapping method with 5,000-time sampling at the confidence level of 95%. As presented in <xref ref-type="table" rid="tab7">Table 7</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref>, EOLE significantly predicted academic self-concept (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.902, <italic>t</italic>&#x202F;=&#x202F;60.45, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), deep cognitive engagement (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.463, <italic>t</italic>&#x202F;=&#x202F;4.519, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), shallow cognitive engagement (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.397, <italic>t</italic>&#x202F;=&#x202F;3.864, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), flow (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.363, <italic>t</italic>&#x202F;=&#x202F;5.295, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), well-being (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.308, <italic>t</italic>&#x202F;=&#x202F;2.864, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001). Therefore, the H1 was supported. However, the predicting role of academic self-concept on both deep and shallow cognitive engagement was not observed, and the effect of flow on well-being was also unsupported.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Assessment of the structural model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Paths</th>
<th align="center" valign="top" colspan="4">Significance test of hypothesis</th>
<th align="left" valign="top" colspan="2">95% CI</th>
<th align="center" valign="top" rowspan="2">Conclusion</th>
<th align="center" valign="top" rowspan="2"><italic>f</italic><sup>2</sup></th>
</tr>
<tr>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">STDEV</th>
<th align="center" valign="top"><italic>t</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
<th align="center" valign="top">Lower</th>
<th align="center" valign="top">Upper</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">ASC&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.128</td>
<td align="center" valign="middle">0.106</td>
<td align="center" valign="middle">1.202</td>
<td align="center" valign="middle">0.229</td>
<td align="center" valign="middle">&#x2212;0.074</td>
<td align="center" valign="middle">0.341</td>
<td align="center" valign="middle">Not support</td>
<td align="center" valign="middle">0.011</td>
</tr>
<tr>
<td align="left" valign="middle">ASC&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.132</td>
<td align="center" valign="middle">0.105</td>
<td align="center" valign="middle">1.258</td>
<td align="center" valign="middle">0.208</td>
<td align="center" valign="middle">&#x2212;0.072</td>
<td align="center" valign="middle">0.341</td>
<td align="center" valign="middle">Not support</td>
<td align="center" valign="middle">0.010</td>
</tr>
<tr>
<td align="left" valign="middle">ASC&#x202F;&#x2192;&#x202F;Flow</td>
<td align="center" valign="middle">0.550</td>
<td align="center" valign="middle">0.064</td>
<td align="center" valign="middle">8.544</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.422</td>
<td align="center" valign="middle">0.675</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.273</td>
</tr>
<tr>
<td align="left" valign="middle">ASC&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.465</td>
<td align="center" valign="middle">0.116</td>
<td align="center" valign="middle">4.007</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.240</td>
<td align="center" valign="middle">0.686</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.124</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC</td>
<td align="center" valign="middle">0.902</td>
<td align="center" valign="middle">0.015</td>
<td align="center" valign="middle">60.45</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.870</td>
<td align="center" valign="middle">0.928</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">4.363</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.463</td>
<td align="center" valign="middle">0.102</td>
<td align="center" valign="middle">4.519</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.257</td>
<td align="center" valign="middle">0.655</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.167</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.397</td>
<td align="center" valign="middle">0.103</td>
<td align="center" valign="middle">3.864</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.194</td>
<td align="center" valign="middle">0.592</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.106</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;Flow</td>
<td align="center" valign="middle">0.363</td>
<td align="center" valign="middle">0.069</td>
<td align="center" valign="middle">5.295</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.230</td>
<td align="center" valign="middle">0.501</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.119</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.308</td>
<td align="center" valign="middle">0.107</td>
<td align="center" valign="middle">2.864</td>
<td align="center" valign="middle">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.516</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.062</td>
</tr>
<tr>
<td align="left" valign="middle">Flow&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.332</td>
<td align="center" valign="middle">0.101</td>
<td align="center" valign="middle">3.277</td>
<td align="center" valign="middle">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.150</td>
<td align="center" valign="middle">0.548</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.106</td>
</tr>
<tr>
<td align="left" valign="middle">Flow&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.375</td>
<td align="center" valign="middle">0.108</td>
<td align="center" valign="middle">3.481</td>
<td align="center" valign="middle">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.180</td>
<td align="center" valign="middle">0.598</td>
<td align="center" valign="middle">Support</td>
<td align="center" valign="middle">0.117</td>
</tr>
<tr>
<td align="left" valign="middle">Flow&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.120</td>
<td align="center" valign="middle">0.091</td>
<td align="center" valign="middle">1.328</td>
<td align="center" valign="middle">0.184</td>
<td align="center" valign="middle">&#x2212;0.051</td>
<td align="center" valign="middle">0.307</td>
<td align="center" valign="middle">Not support</td>
<td align="center" valign="middle">0.012</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001. STDEV, standard deviation; 95% CI, 95% confidence intervals.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p><italic>R</italic><sup>2</sup> and <italic>Q</italic><sup>2</sup> assessment of the structural model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Constructs</th>
<th align="center" valign="top"><italic>R</italic><sup>2</sup></th>
<th align="center" valign="top"><italic>Q</italic><sup>2</sup> (=1-SSE/SSO)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">ASC</td>
<td align="center" valign="middle">0.814</td>
<td align="center" valign="middle">0.778</td>
</tr>
<tr>
<td align="left" valign="middle">DCE</td>
<td align="center" valign="middle">0.786</td>
<td align="center" valign="middle">0.693</td>
</tr>
<tr>
<td align="left" valign="middle">SCE</td>
<td align="center" valign="middle">0.752</td>
<td align="center" valign="middle">0.668</td>
</tr>
<tr>
<td align="left" valign="middle">Flow</td>
<td align="center" valign="middle">0.794</td>
<td align="center" valign="middle">0.671</td>
</tr>
<tr>
<td align="left" valign="middle">WB</td>
<td align="center" valign="middle">0.745</td>
<td align="center" valign="middle">0.675</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Results of hypothesis testing.</p>
</caption>
<graphic xlink:href="fpsyg-16-1614109-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram illustrating relationships between constructs in online learning. &#x201C;Engaging online learning environmnets&#x201D; affects &#x201C;Academic self-concept&#x201D;, &#x201C;Flow&#x201D;, &#x201C;Deep and shallow cognitive engagement&#x201D;, and &#x201C;Well-being&#x201D; with path coefficients 0.902,0.363,0.463,0.397 and 0.308. &#x201C;Academic self-concept&#x201D; affects &#x201C;Flow&#x201D; and &#x201C;Well-being&#x201D; with path coefficients 0.550 and 0.465. The relationship between &#x201C;Academic self-concept&#x201D; and &#x201C;Deep and shallow cognitive engagement&#x201D; is not significant with path coefficients 0.128 and 0.132. &#x201C;Flow&#x201D; affects &#x201C;Deep and shallow cognitive engagement&#x201D; with path coefficients 0.332 and 0.375. The relationship between &#x201C;Flow&#x201D; and &#x201C;Well-being&#x201D; is not significant with path coefficients 0.120. Solid and dashed lines indicate significant and non-significant relationships between two variables, respectively.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec21">
<label>4.4</label>
<title>Mediating effect analysis</title>
<p>From <xref ref-type="table" rid="tab7">Table 7</xref>, most of the direct effects among EOLE, academic self-concept, flow, deep and shallow cognitive engagement, and well-being were significant. Therefore, mediating effect analysis of academic self-concept and flow between EOLE and, cognitive engagement and well-being was further conducted. From <xref ref-type="table" rid="tab9">Table 9</xref>, academic self-concept significantly mediated the impact of EOLE on well-being (effect size&#x202F;=&#x202F;0.419, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001, [0.222, 0.623]). However, the indirect effects of EOLE on both deep (effect size&#x202F;=&#x202F;0.115, <italic>p</italic>&#x202F;&#x003E;&#x202F;0.05, [&#x2212;0.064, 0.301]) and shallow cognitive engagement (effect size&#x202F;=&#x202F;0.119, <italic>p</italic>&#x202F;&#x003E;&#x202F;0.05, [&#x2212;0.067, 0.301]) were not significant. Therefore, the hypothesis H2c was supported, while H2a and H2b were not. Interestingly, flow significantly mediated the relationship between EOLE and both deep (effect size&#x202F;=&#x202F;0.120, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, [0.053, 0.215]) and shallow cognitive engagement (effect size&#x202F;=&#x202F;0.136, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, [0.061, 0.242]). However, the indirect effects of EOLE on well-being (effect size&#x202F;=&#x202F;0.044, <italic>p</italic>&#x202F;&#x003E;&#x202F;0.05, [&#x2212;0.016, 0.120]) were not observed. Therefore, the hypotheses H3a and H3b were supported, while H3c was not. Furthermore, the sequential mediating effects of academic self-concept and flow sequentially in the process from EOLE to both deep (effect size&#x202F;=&#x202F;0.165, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, [0.066, 0.299]) and shallow cognitive engagement (effect size&#x202F;=&#x202F;0.186, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, [0.080, 0.322]) were statistically significant. However, the effect of EOLE on well-being was not sequentially mediated by academic self-concept and flow (effect size&#x202F;=&#x202F;0.060, <italic>p</italic>&#x202F;&#x003E;&#x202F;0.05, [&#x2212;0.020, 0.163]). Therefore, the hypotheses H4a and H4b were supported, while H4c was not.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Mediating effect analysis.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Paths</th>
<th align="center" valign="top" colspan="4">Significance test of hypothesis</th>
<th align="center" valign="top" colspan="2">95% CI</th>
</tr>
<tr>
<th align="center" valign="top">Original Sample</th>
<th align="center" valign="top">STDEV</th>
<th align="center" valign="top"><italic>t</italic></th>
<th align="center" valign="top"><italic>p</italic></th>
<th align="center" valign="top">Lower</th>
<th align="center" valign="top">Upper</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle"><bold>Total Effect</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.863</td>
<td align="center" valign="middle">0.022</td>
<td align="center" valign="middle">39.021</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.816</td>
<td align="center" valign="middle">0.904</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.838</td>
<td align="center" valign="middle">0.025</td>
<td align="center" valign="middle">33.614</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.786</td>
<td align="center" valign="middle">0.883</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.830</td>
<td align="center" valign="middle">0.026</td>
<td align="center" valign="middle">31.865</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.776</td>
<td align="center" valign="middle">0.878</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="7">Specific indirect effect</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.115</td>
<td align="center" valign="middle">0.094</td>
<td align="center" valign="middle">1.227</td>
<td align="center" valign="middle">0.220</td>
<td align="center" valign="middle">&#x2212;0.064</td>
<td align="center" valign="middle">0.301</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.119</td>
<td align="center" valign="middle">0.093</td>
<td align="center" valign="middle">1.277</td>
<td align="center" valign="middle">0.202</td>
<td align="center" valign="middle">&#x2212;0.067</td>
<td align="center" valign="middle">0.301</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.419</td>
<td align="center" valign="middle">0.102</td>
<td align="center" valign="middle">4.116</td>
<td align="center" valign="middle">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.222</td>
<td align="center" valign="middle">0.623</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.120</td>
<td align="center" valign="middle">0.041</td>
<td align="center" valign="middle">2.910</td>
<td align="center" valign="middle">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.053</td>
<td align="center" valign="middle">0.215</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.136</td>
<td align="center" valign="middle">0.047</td>
<td align="center" valign="middle">2.907</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.061</td>
<td align="center" valign="middle">0.242</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.044</td>
<td align="center" valign="middle">0.034</td>
<td align="center" valign="middle">1.285</td>
<td align="center" valign="middle">0.199</td>
<td align="center" valign="middle">&#x2212;0.016</td>
<td align="center" valign="middle">0.120</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.165</td>
<td align="center" valign="middle">0.059</td>
<td align="center" valign="middle">2.768</td>
<td align="center" valign="middle">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.066</td>
<td align="center" valign="middle">0.299</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.186</td>
<td align="center" valign="middle">0.062</td>
<td align="center" valign="middle">3.000</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.080</td>
<td align="center" valign="middle">0.322</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;ASC&#x202F;&#x2192;&#x202F;Flow&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.060</td>
<td align="center" valign="middle">0.046</td>
<td align="center" valign="middle">1.288</td>
<td align="center" valign="middle">0.198</td>
<td align="center" valign="middle">&#x2212;0.020</td>
<td align="center" valign="middle">0.163</td>
</tr>
<tr>
<td align="left" valign="middle" colspan="7">Direct effect</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;DCE</td>
<td align="center" valign="middle">0.463</td>
<td align="center" valign="middle">0.102</td>
<td align="center" valign="middle">4.519</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.257</td>
<td align="center" valign="middle">0.655</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;SCE</td>
<td align="center" valign="middle">0.397</td>
<td align="center" valign="middle">0.103</td>
<td align="center" valign="middle">3.864</td>
<td align="center" valign="middle">0.000</td>
<td align="center" valign="middle">0.194</td>
<td align="center" valign="middle">0.592</td>
</tr>
<tr>
<td align="left" valign="middle">EOLE&#x202F;&#x2192;&#x202F;WB</td>
<td align="center" valign="middle">0.308</td>
<td align="center" valign="middle">0.107</td>
<td align="center" valign="middle">2.864</td>
<td align="center" valign="middle">0.004</td>
<td align="center" valign="middle">0.098</td>
<td align="center" valign="middle">0.516</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001. STDEV, standard deviation; 95% CI, 95% confidence interval.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec22">
<label>5</label>
<title>Discussion</title>
<p>The purpose of this study was to explore the impact of EOLE on cognitive engagement and well-being through academic self-concept and flow. Results showed that EOLE had direct influences on academic self-concept, flow, deep and shallow cognitive engagement, and well-being. Academic self-concept had a significant effect on well-being, while its effects on both deep and shallow cognitive engagement were not observed. Conversely, flow experience could significantly predict deep and shallow cognitive engagement, while its effect on well-being was not supported. In addition, the study also found that academic self-concept mediated the significant relationship between EOLE and well-being. Effects of EOLE on both deep and shallow cognitive engagement were mediated. Furthermore, academic self-concept and flow were sequential mediators of EOLE on both deep and shallow cognitive engagement.</p>
<p>Specifically, EOLE could significantly affected academic self-concept, flow, deep and shallow cognitive engagement, and well-being, which is consistent with previous research findings (e.g., <xref ref-type="bibr" rid="ref34">Esteban-Millat et al., 2014</xref>; <xref ref-type="bibr" rid="ref58">Kumi-Yeboah et al., 2018</xref>; <xref ref-type="bibr" rid="ref64">Liu and Duan, 2022</xref>; <xref ref-type="bibr" rid="ref101">Stanton et al., 2016</xref>). This meant that the perceived quality of online learning by students significantly influenced their overall learning experience. When the learning environment integrated competence beliefs, motivation, and meaning into students&#x2019; engagement to meet their academic expectations, students exhibited a greater sense of academic control and value (<xref ref-type="bibr" rid="ref18">Chen and Lu, 2022</xref>), enabling them to fully immerse themselves in tasks and experience the enjoyment of learning itself (<xref ref-type="bibr" rid="ref115">Yang et al., 2025</xref>). In line with SCT, individuals are neither fully autonomous agents nor mere passive transmitters of environmental influences; instead, they actively contribute to their own motivation and behavior within a triadic reciprocal causation system (<xref ref-type="bibr" rid="ref4">Bandura, 1989</xref>). As expected, this study confirmed H1 that EOLE significantly influenced deep and shallow cognitive engagement, and well-being. Previous literature has also explored the relationship among EOLE, deep and shallow engagement, and well-being. For instance, <xref ref-type="bibr" rid="ref45">Guo et al. (2023)</xref> explored the relationship between cognitive engagement and interaction level in online learning environments. The findings indicated that the quality of interactions in online learning environments was strongly associated with cognitive engagement. Similiarly, <xref ref-type="bibr" rid="ref13">Caprara and Caprara (2022)</xref> argued that an optimal virtual learning environment had offered students both academic and emotional support while promoting their engagement and motivation. These findings indicate that positive elements in online learning environments, including interaction quality, technological and social support, were critical for designing effective and engaging online learning experiences (<xref ref-type="bibr" rid="ref22">Cockerham et al., 2021</xref>; <xref ref-type="bibr" rid="ref51">Huang and Zhang, 2022</xref>).</p>
<p>Students&#x2019; academic self-concept had significant effects on their flow experience. This result confirmed the view of <xref ref-type="bibr" rid="ref61">Lesmana (2019)</xref> that academic self-concept and academic self-efficacy contribute to college students&#x2019; flow state and GPA. The result was also in line with <xref ref-type="bibr" rid="ref54">Jackson et al. (2001)</xref> that self-concept and use of psychological skills were positively correlated with the flow state of athletes. Specifically, tasks with appropriate challenges and opportunities for skill development drove individuals to immerse themselves in them, experiencing engagement and satisfaction (<xref ref-type="bibr" rid="ref74">Meng and Wang, 2025</xref>). Therefore, students should be confident enough in their abilities, specifically when facing complex and challenging tasks, which could contribute to their psychological experience in the learning process (<xref ref-type="bibr" rid="ref29">De Manzano et al., 2010</xref>). Moreover, this study demonstrated H2c that academic self-concept mediated the relationship between EOLE and well-being. This finding was consistent with <xref ref-type="bibr" rid="ref60">Lazarides and Raufelder&#x2019;s (2021)</xref> research results, which showed that mathematical self-concept is positively correlated with students&#x2019; enjoyment in mathematics, but negatively correlated with anxiety. This suggested that when students perceived themselves as competent and proficient in their academic endeavors, they tended to experience greater life satisfaction, happiness, and sense of purpose (<xref ref-type="bibr" rid="ref118">Zhang, 2024</xref>). Another, according to self-determination theory, individual growth and development depend on the satisfaction of basic psychological needs (<xref ref-type="bibr" rid="ref87">Ryan and Deci, 2000</xref>). Individuals may feel a sense of accomplishment if competency needs could be satisfied (<xref ref-type="bibr" rid="ref78">Niemiec and Ryan, 2009</xref>), which contributes to individual psychological well-being. That is, when designing strategies for improving students&#x2019; well-being, personal internal factors such as self-concept and positivity should be taken into account (<xref ref-type="bibr" rid="ref73">McCullough et al., 2000</xref>).</p>
<p>However, contrary to our expectations, the H2a and H2b, the mediating role of academic self-concept in the relationships between EOLE and, deep and shallow cognitive engagement, were not significant. This finding is inconsistent with previous research showing that EOLE positively influence academic self-concept, which in turn affects deep and surface learning (<xref ref-type="bibr" rid="ref16">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="ref119">Zhang et al., 2022</xref>). A possible reason may be that the online course overly emphasized the rehearsal elements of cognitive learning strategies, where rehearsals simply repeat information and may not be closely related to students&#x2019; actual competence (<xref ref-type="bibr" rid="ref67">Lohbeck and Moschner, 2022</xref>). In addition, students with a high academic self-concept were inclined to believe they can effectively complete tasks they perceive as very easy, resulting in reduced effort and a lack of deep learning during task accomplishment (<xref ref-type="bibr" rid="ref92">Schunk, 2012</xref>). Therefore, future online courses should prioritize fostering students&#x2019; interest in tasks and establishing attainable yet challenging goals to enhance students&#x2019; use of elaboration strategies (<xref ref-type="bibr" rid="ref67">Lohbeck and Moschner, 2022</xref>).</p>
<p>Students&#x2019; flow experience mediated the relationship between EOLE and deep, shallow cognitive engagement. This result was to some extent consistent with the findings of <xref ref-type="bibr" rid="ref107">Thomas and Baral (2023)</xref> that compared with traditional and test-based instructional designs, gamified instructional designs could significantly influence students&#x2019; learning engagement through a high level of flow experience. The viewpoints of <xref ref-type="bibr" rid="ref33">Engeser et al. (2021)</xref> also provided support for this result that the state of flow, in the absence of extrinsic rewards, enabled individuals to be highly engaged in activities. This indicated that students who enjoyed the environment were more actively engaged in the learning environment and strived toward their self-determined goals (<xref ref-type="bibr" rid="ref80">&#x00D6;zhan and Kocadere, 2020</xref>). However, the H3c that the mediating effect of flow in the relationship between EOLE and well-being was not observed. This conflicted with the findings of <xref ref-type="bibr" rid="ref69">Lynch and Troy (2021)</xref> that flow significantly predicted an increase in positive emotions and a decrease in negative emotions in students after the various art classes across all 4&#x202F;weeks. The possible reason may be that monotonous work could also produce a flow experience (<xref ref-type="bibr" rid="ref53">Ilies et al., 2017</xref>), but it did not necessarily make it enjoyable and maintain well-being. In other words, Students&#x2019; engagement in this online course is driven by obsessive passion, as certain contingencies, such as the course being linked to their academic performance, they have to participate due to limited control over such contingencies, potentially resulting in diminished well-being (<xref ref-type="bibr" rid="ref83">Philippe et al., 2009</xref>). Therefore, learning activities should be simultaneously challenging, enjoyable, and achievable (<xref ref-type="bibr" rid="ref56">Kaya and Ercag, 2023</xref>), which could afford students&#x2019; psychological satisfaction and well-being in the process of completing tasks.</p>
</sec>
<sec id="sec23">
<label>6</label>
<title>Implications</title>
<sec id="sec24">
<label>6.1</label>
<title>Theoretical implications</title>
<p>This study had several theoretical implications for improving cognitive engagement and well-being in online learning environments. To the best of our knowledge, research on the roles of academic self-concept and flow from EOLE to cognitive engagement and well-being remains unclear. This study highlighted the importance of students&#x2019; cognitive engagement and well-being in EOLE, and confirmed the sequential mediating role of academic self-concept and flow between EOLE and cognitive engagement. In addition, the results of this study verified the view of SCT (<xref ref-type="bibr" rid="ref5">Bandura, 1991</xref>) that personal factors could contribute to students&#x2019; behavior in a flexible environment to achieve positive academic outcomes. Therefore, this study enriched the theoretical posits in a specific online learning environment.</p>
</sec>
<sec id="sec25">
<label>6.2</label>
<title>Practical implications</title>
<p>This study also provided several practical implications for teachers to design and implement an engaged and friendly online learning environment. Firstly, EOLE significantly influences students&#x2019; academic self-concept, flow, deep and shallow cognitive engagement, and well-being. Online learning environments can facilitate synchronous or asynchronous interactions and communication between teachers and students with the learning materials and other members of the learning community (<xref ref-type="bibr" rid="ref36">Ferrer et al., 2022</xref>). Therefore, teachers can take advantage of the convenience of online learning environments to assist students. For instance, in the online classroom, teachers should actively encourage students to participate in group discussions and interactions with peers to improve students&#x2019; motivation, offer timely feedback on students&#x2019; homework after class, and provide students with rich online learning resources to help them improve their learning efficiency. Secondly, the present study confirmed the sequential mediating role of academic self-concept and flow between EOLE and, deep and shallow cognitive engagement. Therefore, when designing tasks, teachers should consider both the actual competence of the students and the difficulty of the task (<xref ref-type="bibr" rid="ref29">De Manzano et al., 2010</xref>), so that the task is challenging as well as the students can complete the task with effort. Finally, this study was not only concerned with students&#x2019; learning but also their psychological well-being. Teachers should take a positive approach to education and give students more care and support so that they can experience emotional warmth (<xref ref-type="bibr" rid="ref120">Zhao et al., 2024</xref>). If students have psychological problems, teachers should communicate with their parents on time and work together to help students overcome their difficulties.</p>
</sec>
</sec>
<sec id="sec26">
<label>7</label>
<title>Conclusion, limitations, and future research</title>
<p>The present study examined the effect of EOLE on cognitive engagement and well-being. The findings demonstrated a sequential mediating role of academic self-concept and flow in predicting the power of EOLE on cognitive engagement.</p>
<p>While these findings provided some valuable implications, some limitations remained. Firstly, the cross-sectional research design in this study cannot test causality. Future research can combine cross-sectional and longitudinal research to explore causal relationships between variables. Secondly, this study only considered cognitive engagement in the online learning environment, and empirical studies showed that other dimensions of student engagement also affect students&#x2019; academic outcomes (<xref ref-type="bibr" rid="ref35">Fan and Tian, 2022</xref>; <xref ref-type="bibr" rid="ref43">Gunness et al., 2023</xref>). Therefore, future research should consider students&#x2019; emotional, behavioral, and agentic engagement so that students could optimally engage in online learning activities. Finally, the sample size of participants was insufficient to generalize this finding to other learning contexts. Future research should select more students from different school contexts to enhance the generalizability of the conclusion.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec27">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="sec28">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Ethical Committee of the Henan Normal University. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="sec29">
<title>Author contributions</title>
<p>YS: Writing &#x2013; original draft, Methodology, Investigation, Conceptualization, Funding acquisition. MC: Software, Writing &#x2013; original draft, Methodology, Investigation. YW: Funding acquisition, Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft, Conceptualization, Project administration, Formal analysis. JS: Methodology, Writing &#x2013; review &#x0026; editing, Software, Investigation, Resources. MW: Methodology, Software, Writing &#x2013; review &#x0026; editing, Investigation, Resources. KZ: Project administration, Validation, Conceptualization, Writing &#x2013; review &#x0026; editing, Funding acquisition.</p>
</sec>
<sec sec-type="funding-information" id="sec30">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This study is supported by the Henan Philosophy and Social Sciences Planning Project, grant number: 2024CJY046.</p>
</sec>
<sec sec-type="COI-statement" id="sec31">
<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="ai-statement" id="sec32">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec33">
<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>
<fn-group>
<fn id="fn0001"><p><sup>1</sup><ext-link xlink:href="https://www.wjx.cn/" ext-link-type="uri">https://www.wjx.cn/</ext-link></p></fn>
</fn-group>
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