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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2025.1536891</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Curriculum, Instruction, and Pedagogy</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>PERMA-based PBL teaching model: a case study of mechanical drawing in vocational education</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Lu</surname> <given-names>Yiming</given-names></name>
<uri xlink:href="https://loop.frontiersin.org/people/2909507/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Guo</surname> <given-names>Yonghuan</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2823202/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Xiwen</given-names></name>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff><institution>School of Mechatronic Engineering, Jiangsu Normal University</institution>, <addr-line>Xuzhou</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Mohamed A. Ali, Grand Canyon University, United States</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Haibo Xu, Xuzhou Medical University, China</p>
<p>Geraldine Keawe, Independent Researcher, Los Angeles, CA, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Yonghuan Guo, <email>gyh8421@126.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1536891</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Lu, Guo and Wang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lu, Guo and Wang</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>In mainland China, the mental health of vocational high school students has been increasingly recognized as a critical issue by both the government and scholars. Positive education, a branch of positive psychology, has been proven to significantly enhance adolescents&#x2019; well-being and academic performance. Exploring how to effectively integrate positive education theories or models with traditional teaching methods in vocational classrooms is a promising research direction. To address this, the present study uses the <italic>Mechanical Drawing</italic> course as a case study, combining the PERMA model with the traditional PBL teaching model to propose an innovative and practical teaching method: the PERMA-based PBL teaching model. The study involved 207 first-year vocational high school students from four parallel classes. Based on their pre-test scores, the students were divided into two parallel groups (A and B) for a crossover experimental design. Quantitative data were collected using the Inventory of Positive Mental Characters among Chinese Middle School Students and a course survey questionnaire. Each group underwent pre-test, mid-test, and post-test assessments, with quantitative analysis conducted via t-tests to evaluate the advantages of the new teaching model compared to traditional teaching methods. The results indicated that the new teaching model significantly outperformed the traditional teaching model in enhancing all dimensions of vocational high school students&#x2019; positive psychological qualities (<italic>p</italic> &#x003C;&#x202F;0.001). Additionally, the new teaching model was superior in improving students&#x2019; Learning Interest (<italic>p</italic> &#x003C;&#x202F;0.001), Learning Motivation (<italic>p</italic> &#x003C;&#x202F;0.001), and Learning Attitude (<italic>p</italic> &#x003C;&#x202F;0.05). Furthermore, vocational students expressed a stronger preference for the PERMA-based PBL teaching model compared to the traditional teaching model (<italic>p</italic> &#x003C;&#x202F;0.001). This study explores a practical pathway for integrating positive psychology theories into classroom settings and provides a reference for future research in this field.</p>
</abstract>
<kwd-group>
<kwd>PERMA model</kwd>
<kwd>PBL teaching model</kwd>
<kwd>positive psychology</kwd>
<kwd>vocational education</kwd>
<kwd>mechanical drawing</kwd>
</kwd-group>
<contract-sponsor id="cn1">Ministry of Education<named-content content-type="fundref-id">10.13039/501100002701</named-content></contract-sponsor>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="55"/>
<page-count count="10"/>
<word-count count="7269"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Educational Psychology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Currently, a significant number of adolescents are experiencing poor mental health. According to the <xref ref-type="bibr" rid="ref50">World Health Organization (2022)</xref>, approximately 14% of adolescents aged 10&#x2013;19 globally suffer from mental disorders. Similarly, a study conducted in mainland China revealed that about 17.5% of adolescents have poor mental health levels (<xref ref-type="bibr" rid="ref9005">Li et al., 2022</xref>), with this issue being particularly severe among vocational high school students (<xref ref-type="bibr" rid="ref19">He et al., 2023</xref>). In mainland China, vocational high school students generally perform worse academically in their middle school years compared to general high school students and tend to have lower cognitive motivation (<xref ref-type="bibr" rid="ref33">Liu and Jiang, 2020</xref>). However, vocational students are required to master both academic content and additional work-related skills, which may result in differences in their mental health outcomes compared to general high school students (<xref ref-type="bibr" rid="ref45">Su et al., 2024</xref>). Previous research has shown that vocational students exhibit lower psychological resilience compared to their general high school peers (<xref ref-type="bibr" rid="ref1001">Lu et al. 2025</xref>). Moreover, they may have a higher incidence of self-harming behaviors and are more likely to experience suicidal ideation (<xref ref-type="bibr" rid="ref20">Horv&#x00E1;th et al., 2018</xref>).</p>
<p>On the other hand, students&#x2019; mental health and academic performance are mutually reinforcing (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>). Poor mental health negatively impacts students&#x2019; academic self-efficacy, progress, persistence, and daily performance (<xref ref-type="bibr" rid="ref29">Leow et al., 2024</xref>; <xref ref-type="bibr" rid="ref7">Chim et al., 2024</xref>). Conversely, students with better mental health and higher levels of well-being tend to achieve better academic outcomes, possess more adaptive motivational beliefs, and establish more positive relationships with teachers, parents, and peers (<xref ref-type="bibr" rid="ref24">King et al., 2023</xref>). Adolescents&#x2019; positive emotions are significantly correlated with enhanced creativity, prosocial behaviors, problem-solving and coping abilities, as well as positive perceptions of themselves and others (<xref ref-type="bibr" rid="ref34">Lyubomirsky et al., 2005</xref>). Moreover, positive emotions and well-being serve as protective factors against adolescent depression and play a crucial role in promoting mental health (<xref ref-type="bibr" rid="ref56">Zhao et al., 2019</xref>). Therefore, fostering positive emotions and well-being among vocational high school students is essential for improving both their academic performance and mental health.</p>
<p>A good trend is that positive psychology has gained increasing attention from educators across Asia in recent years (<xref ref-type="bibr" rid="ref31">Lim, 2024</xref>). According to the Global Happiness Council, over 10,000 schools in mainland China have incorporated principles of positive psychology into their teaching practices (<xref ref-type="bibr" rid="ref17">Global Happiness Council, 2018</xref>). In 2012, Seligman introduced the PERMA model, which identifies five core elements of well-being: Positive emotion, Engagement, Relationships, Meaning, and Accomplishment (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>). As a classic model within the discipline of positive psychology, the PERMA model has demonstrated significant effectiveness in enhancing adolescents&#x2019; psychological resilience (<xref ref-type="bibr" rid="ref15">Falecki et al., 2018</xref>) and in mitigating negative emotions and mental health disorders (<xref ref-type="bibr" rid="ref23">Kern et al., 2015</xref>). Consequently, the PERMA model has been widely adopted in schools to develop positive psychology interventions (<xref ref-type="bibr" rid="ref28">Lan and Saad, 2024</xref>; <xref ref-type="bibr" rid="ref37">Morgan and Simmons, 2021</xref>) and for psychological assessments (<xref ref-type="bibr" rid="ref27">Lai et al., 2018</xref>; <xref ref-type="bibr" rid="ref8">Chue et al., 2024</xref>). Its influence is reaching an increasing number of students.</p>
<p>However, implementing the PERMA model and the other model of positive psychology in vocational high schools in mainland China still faces numerous challenges. First, the number of dedicated school psychologic counselors in vocational schools remains insufficient. A study focusing on Sichuan Province revealed that only about 77% of vocational schools in the region are staffed with full-time school psychologic counselors, with the total number of such counselors accounting for just 0.049% of the total vocational student population. The professional competence of other instructors also exhibits uneven development (<xref ref-type="bibr" rid="ref13">Dong et al., 2020</xref>), with limited understanding of the PERMA model and related theories in positive psychology. Consequently, positive psychology interventions, which place high demands on the psychological expertise of implementers, may face challenges in being effectively carried out in schools in less developed regions. In the short term, establishing a mental health course specifically for implementing positive psychology interventions is impractical for some vocational secondary schools.</p>
<p>Given these challenges, embedding the PERMA model into traditional teaching practices may be a practical approach for its large-scale implementation PERMA model in vocational schools. In this study, the researchers adopted the widely applied PBL educational model in vocational high schools in mainland China as the instructional framework (<xref ref-type="bibr" rid="ref9004">Ding et al., 2014</xref>), guided by the PERMA model as the theoretical foundation. Using <italic>Mechanical Drawing</italic>, a compulsory course for mechanical majors in vocational high schools, as the curriculum content, a controlled experiment was conducted in a vocational high school in mainland China. The study aimed to develop a novel teaching method capable of facilitating the large-scale implementation of the PERMA model and positive psychology principles in vocational high school education.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Teaching framework</title>
<p>The PBL teaching model originated in the 1960s at McMaster University&#x2019;s Faculty of Medicine in Canada. Over the course of half a century, its application has expanded beyond the field of medical education to various industries (<xref ref-type="bibr" rid="ref44">Servant-Miklos et al., 2019</xref>). PBL emphasizes situating learning within real-world problem contexts, enabling learners to collaboratively solve problems and understand the underlying scientific principles and knowledge (<xref ref-type="bibr" rid="ref49">Wood, 2003</xref>; <xref ref-type="bibr" rid="ref12">Dolmans et al., 2005</xref>). The traditional PBL teaching model typically comprises five key steps: group division, ask questions, exploration and discussion, outcome presentation, and evaluation and reflection (<xref ref-type="bibr" rid="ref4">Barrows and Tamblyn, 1977</xref>). Previous studies have shown that the PBL teaching model can significantly improve vocational key abilities, classroom satisfaction (<xref ref-type="bibr" rid="ref1000">Belwal et al., 2020</xref>), and creative thinking abilities (<xref ref-type="bibr" rid="ref2">Aprilia et al., 2019</xref>) of vocational school students. It is an efficient teaching model that promotes students&#x2019; comprehensive development (<xref ref-type="bibr" rid="ref40">Ren, 2022</xref>).</p>
<p>The role of the PERMA model in enhancing students&#x2019; well-being and positive psychological qualities has been widely validated across different educational levels (<xref ref-type="bibr" rid="ref26">Kovich et al., 2023</xref>; <xref ref-type="bibr" rid="ref23">Kern et al., 2015</xref>). In this study, the five elements of the PERMA model were integrated into the five steps of the PBL teaching model to systematically optimize traditional PBL practices. The teaching framework is summarized in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Teaching framework of the PERMA-based PBL teaching model.</p>
</caption>
<graphic xlink:href="fpsyg-16-1536891-g001.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the integration of the PERMA model with the PBL teaching model. It details the components: Relationships, Positive Emotion, Meaning, Engagement, and Accomplishment. Each component suggests strategies, like equal groupings and positive feedback, leading to group division, exploration, outcome presentation, and evaluation within the PBL model.</alt-text>
</graphic>
</fig>
<p>The first key element of the PERMA model is Positive emotion (P). Positive emotion refers to experiences of good feelings such as gratitude, joy, and satisfaction (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>). It is regarded as a critical indicator of well-being (<xref ref-type="bibr" rid="ref10">Coffey et al., 2015</xref>) and is directly associated with improvements in adolescent depression (<xref ref-type="bibr" rid="ref42">Santos et al., 2013</xref>). Hence, improving vocational high school students&#x2019; positive experiences in class may enhance their mental health. A study has shown that watching amusing videos before learning significantly boosts learners&#x2019; positive emotions (<xref ref-type="bibr" rid="ref48">Wang and Chen, 2022</xref>). Therefore, in the Ask Questions step of PBL, researchers showed students an engaging video, the video can be an animation or a movie clip to ensure that most students are interested. Additionally, during the entire teaching process, researchers avoided using negative evaluative language with all students.</p>
<p>The second key element of the PERMA model is Engagement (E), which emphasizes learners&#x2019; involvement in the learning process. High engagement contributes to improved academic performance and increased positive behaviors, making it a critical predictor of academic success (<xref ref-type="bibr" rid="ref9">Ciric and Jovanovic, 2016</xref>). In traditional PBL, the Outcome Presentation phase usually completed by group representatives from each group. However, this practice may reduce the engagement of other group members. To address this, all group members in this study were required to present their respective contributions to the project in front of their peers and the teacher, ensuring equal attention and participation for all students.</p>
<p>The third key element is Relationships (R), focusing on love, recognition, and social support from others (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>). Positive interpersonal relationships during the learning process help students cope better with academic stress and achieve better outcomes (<xref ref-type="bibr" rid="ref11">Davarniya et al., 2019</xref>; <xref ref-type="bibr" rid="ref25">Kiuru et al., 2020</xref>). Based on this, group tasks were assigned in a democratic manner without designated leaders, ensuring that all group members only had distinct responsibilities without hierarchical roles. Positive teacher-student relationships can also significantly enhance student motivation (<xref ref-type="bibr" rid="ref54">Zhang, 2022</xref>). Teacher enthusiasm plays a vital role in fostering such relationships. During group discussions, the researchers actively circulated among the groups, offering students encouragement and support, enabling students to feel the teacher&#x2019;s warmth and energy.</p>
<p>The fourth key element is Meaning (M). Seligman defines meaning as the subjective sense of belonging to and serving something greater than oneself (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>). This element plays an important role in enhancing students&#x2019; academic performance and mental health (<xref ref-type="bibr" rid="ref35">Mason, 2017</xref>; <xref ref-type="bibr" rid="ref18">Hassed et al., 2009</xref>). Vocational identity strongly supports the sense of meaning, with higher vocational identity correlating with a stronger sense of belonging and purpose (<xref ref-type="bibr" rid="ref47">Toubassi et al., 2023</xref>). During the Exploration and Discussion phase, researchers provided each group with sufficient models or tools derived from real workplace scenarios. In some instances, classes will be relocated to the school&#x2019;s practical training center, allowing students to experience authentic work environments, thereby strengthening their vocational identity.</p>
<p>The fifth key element is Accomplishment (A). Accomplishment refers to the sense of achieving goals, which provides learners with motivation and self-efficacy, helping them maintain high levels of learning enthusiasm (<xref ref-type="bibr" rid="ref43">Seligman, 2012</xref>; <xref ref-type="bibr" rid="ref28">Lan and Saad, 2024</xref>). Research has shown that role models significantly enhance students&#x2019; sense of achievement, with a key source of self-efficacy and accomplishment being the observation of role models succeeding in similar tasks (<xref ref-type="bibr" rid="ref3">Bandura, 2001</xref>; <xref ref-type="bibr" rid="ref16">Gladstone and Cimpian, 2021</xref>). In the &#x201C;Evaluation and Reflection&#x201D; phase, researchers showed students a video showcasing exemplary figures in related fields to inspire them. Motivational teaching also enhances students&#x2019; sense of accomplishment and interest in learning (<xref ref-type="bibr" rid="ref5">Cents-Boonstra et al., 2022</xref>). After group presentations, the researchers gave positive feedback on all student contributions. For well-executed parts, students were praised enthusiastically, while for weaker sections, they were encouraged with constructive suggestions on how to improve.</p>
</sec>
<sec sec-type="materials|methods" id="sec3">
<label>3</label>
<title>Materials and methods</title>
<sec id="sec4">
<label>3.1</label>
<title>Participants</title>
<p>The participants in this study were first-year vocational high school students from four parallel classes (Electromechanical Class 1, Electromechanical Class 2, Numerical Control Class 1, and Electromechanical 3&#x202F;+&#x202F;4 Class) of the 2023 cohort at a vocational secondary school in Shandong Province, China, totaling 241 students initially recruited. Given that all participants were from this locality, where primary and junior high schools exclusively utilize traditional teaching methods centered on lecture-based instruction, it can be reasonably assumed that none had prior exposure to the PERMA model or other related positive psychology models or theories. Furthermore, participation in this project was entirely voluntary, with no attendance requirements during the instructional sessions. Ultimately, 239 students from the four parallel classes voluntarily participated in the study. However, during the research process, 11 students failed to complete all assessments, and an additional 21 students submitted blank or invalid questionnaires for at least one assessment, ultimately yielding a final valid sample of 207 students.</p>
</sec>
<sec id="sec5">
<label>3.2</label>
<title>Data collection and analysis tools</title>
<p>This study utilized the Inventory of Positive Mental Characters among Chinese Middle School Students developed by <xref ref-type="bibr" rid="ref36">Meng et al. (2016)</xref>. The scale comprises six subscales: Cognition (<italic>KMO</italic>&#x202F;=&#x202F;0.738, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.66), Emotion (<italic>KMO</italic>&#x202F;=&#x202F;0.738, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.76), Willpower (<italic>KMO</italic>&#x202F;=&#x202F;0.731, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.77), Self-discipline (<italic>KMO</italic>&#x202F;=&#x202F;0.679, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.64), Altruism (<italic>KMO</italic>&#x202F;=&#x202F;0.763, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.80), and Transcendence (<italic>KMO</italic>&#x202F;=&#x202F;0.871, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.86). It contains 63 items scored on a 5-point Likert scale ranging from &#x201C;Not at all like me&#x201D; to &#x201C;Very much like me.&#x201D; The scale measures positive psychological qualities across six dimensions, aligning well with the psychological characteristics of Chinese middle school students, and each subscale demonstrates sufficient reliability and validity.</p>
<p>Additionally, the researchers developed a questionnaire on the current state of teaching in the <italic>Mechanical Drawing</italic> course for vocational high schools. This was designed to facilitate a more detailed understanding and comparison of the learning conditions of participants in Groups A and B throughout the study. In 2021, the Shanghai Municipal Education Commission issued the <italic>Implementation Methods for Comprehensive Quality Evaluation of Vocational High School Students in Shanghai</italic>, which established a system comprising five modules and 22 indicators to evaluate the comprehensive quality of vocational students. This system reflects the characteristics of vocational education with high scientific and objective standards (<xref ref-type="bibr" rid="ref2000">Shanghai Municipal Education Commission, 2021</xref>). Given that <italic>Mechanical Drawing</italic> is only one specialized course within the training system for mechanical majors in vocational high schools, this study excluded three modules from the original evaluation system that were unrelated to this course. The remaining modules, &#x201C;Skills and Academic literacy&#x201D; and &#x201C;Labor&#x201D; and &#x201C;Professional literacy,&#x201D; were retained. Based on the core content of these two modules, four evaluation dimensions were extracted: &#x201C;Learning interest,&#x201D; &#x201C;Learning attitude,&#x201D; &#x201C;Course comprehension,&#x201D; and &#x201C;Professional literacy.&#x201D; Additionally, given the generally low learning motivation among vocation high school students and the significant impact of positive psychology on individual motivational states (<xref ref-type="bibr" rid="ref30">Li, 2019</xref>; <xref ref-type="bibr" rid="ref38">Pajares, 2001</xref>), this study incorporated the dimension of &#x201C;Learning motivation&#x201D; into the questionnaire. This was intended to examine the extent to which the PERMA-Based PBL Teaching Model enhances participants&#x2019; learning motivation. To gauge participants&#x2019; attitudes toward the innovative teaching model, the questionnaire added an &#x201C;Attitude toward the new teaching model&#x201D; dimension in the pre-test and an &#x201C;Attitude toward the current teaching method&#x201D; dimension in the mid-and post-tests. The final questionnaire comprised six dimensions: &#x201C;Learning interest,&#x201D; &#x201C;Learning attitude,&#x201D; &#x201C;Course comprehension,&#x201D; &#x201C;Learning motivation,&#x201D; &#x201C;Attitude toward the new teaching model/current teaching method,&#x201D; and &#x201C;Professional literacy.&#x201D; It included 17 items scored on a 5-point Likert scale ranging from &#x201C;Strongly agree&#x201D; to &#x201C;Strongly disagree.&#x201D; It is important to note that the questionnaire has two versions: a pre-test version and a combined mid-test and post-test version. The pre-test version included &#x201C;Attitude toward the new teaching model&#x201D; as the fifth dimension, while the combined mid-test and post-test version replaced it with &#x201C;Attitude toward the current teaching method.&#x201D; The other dimensions remained consistent across versions. Both versions demonstrated sufficient reliability (Pre-test: <italic>KMO</italic>&#x202F;=&#x202F;0.862, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.89; Mid-and Post-test: <italic>KMO</italic>&#x202F;=&#x202F;0.877, <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.85).</p>
<p>For data analysis, SPSS Statistics 27.0 was used to analyze the data collected from both the scale and the questionnaire.</p>
</sec>
<sec id="sec6">
<label>3.3</label>
<title>Grouping and research process</title>
<p>To strictly adhere to the principle of educational equity, the four parallel classes were divided into two groups, A and B, based on their initial test scores on the Inventory of Positive Mental Characters among Chinese Middle School Students (<xref ref-type="bibr" rid="ref36">Meng et al., 2016</xref>), ensuring balanced levels of performance across the groups. Group A comprised Electromechanical Class 1 and Electromechanical Class 2, with a total of 104 students, while Group B included Numerical Control Class 1 and the Electromechanical 3&#x202F;+&#x202F;4 Class, with a total of 103 students.</p>
<p>As shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, the research employed a crossover experimental design divided into two phases. The study commenced on February 26, 2024, and concluded on June 28, 2024. The first phase spanned from February 27 to April 25, and the second phase from April 27 to June 27. The pre-test, mid-test, and post-test were administered on February 26, April 26, and June 28, respectively. During the research process, Groups A and B commenced the first phase the day after completing the pre-test. In this first phase, Group A followed the traditional teaching model, while Group B implemented the PERMA-based PBL teaching model. The mid-test was conducted the day after the conclusion of the first phase. Following the mid-test, Groups A and B commenced the second phase the next day. During this second phase, Group A transitioned to the new teaching model, while Group B switched to the traditional teaching model. The post-test was administered the day after the conclusion of the second phase.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>The research procedures for Group A and Group B.</p>
</caption>
<graphic xlink:href="fpsyg-16-1536891-g002.tif">
<alt-text content-type="machine-generated">Flowchart depicting an educational study with two groups across two phases. Group A follows a traditional teaching model, while Group B uses a new model in Phase 1 (February 27 to April 25). A mid-test occurs on April 26. In Phase 2 (April 27 to June 27), Group A switches to the new model and Group B to the traditional one. A post-test is conducted on June 28.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="results" id="sec7">
<label>4</label>
<title>Results</title>
<sec id="sec8">
<label>4.1</label>
<title>Results from the inventory of positive mental characters among Chinese middle school students</title>
<p><xref ref-type="table" rid="tab1">Table 1</xref> presents the changes in positive psychological qualities of participants in Groups A and B throughout the experimental process. In the first phase of the study, the traditional teaching model used by Group A had a moderately significant effect (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05) on improving participants&#x2019; positive psychological qualities only in the &#x201C;Cognition&#x201D; dimension, with no significant effects observed in the other dimensions. In contrast, the PERMA-based PBL teaching model used by Group B highly significant improved (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001) all six dimensions of positive psychological qualities measured by the scale.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Paired sample <italic>t</italic>-test data for positive psychological qualities within Groups A and B.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top" rowspan="2">Dimensions</th>
<th align="center" valign="top" colspan="2">Pre-test</th>
<th align="center" valign="top" colspan="3">Mid-test</th>
<th align="center" valign="top" colspan="3">Post-test</th>
</tr>
<tr>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>t</italic>
</th>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>t</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="6">Group A <italic>N</italic>&#x202F;=&#x202F;204</td>
<td align="center" valign="middle">Cognition</td>
<td align="center" valign="middle">2.98</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">3.09</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">2.50&#x002A;</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">10.15&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Emotion</td>
<td align="center" valign="middle">3.24</td>
<td align="center" valign="middle">1.06</td>
<td align="center" valign="middle">3.26</td>
<td align="center" valign="middle">1.09</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">10.54&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Willpower</td>
<td align="center" valign="middle">3.01</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">3.08</td>
<td align="center" valign="middle">1.01</td>
<td align="center" valign="middle">1.66</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">10.59&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Self-discipline</td>
<td align="center" valign="middle">3.21</td>
<td align="center" valign="middle">1.05</td>
<td align="center" valign="middle">3.22</td>
<td align="center" valign="middle">1.06</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">8.52&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Altruism</td>
<td align="center" valign="middle">3.12</td>
<td align="center" valign="middle">1.06</td>
<td align="center" valign="middle">3.16</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">0.95</td>
<td align="center" valign="middle">10.26&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Transcendence</td>
<td align="center" valign="middle">3.26</td>
<td align="center" valign="middle">1.09</td>
<td align="center" valign="middle">3.29</td>
<td align="center" valign="middle">1.03</td>
<td align="center" valign="middle">0.77</td>
<td align="center" valign="middle">3.77</td>
<td align="center" valign="middle">0.96</td>
<td align="center" valign="middle">12.75&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="6">Group B <italic>N</italic>&#x202F;=&#x202F;203</td>
<td align="center" valign="middle">Cognition</td>
<td align="center" valign="middle">2.97</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">3.45</td>
<td align="center" valign="middle">0.95</td>
<td align="center" valign="middle">11.33&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">0.87</td>
<td align="center" valign="middle">2.07&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Emotion</td>
<td align="center" valign="middle">3.24</td>
<td align="center" valign="middle">1.14</td>
<td align="center" valign="middle">3.66</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">8.95&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">0.88</td>
<td align="center" valign="middle">2.04&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Willpower</td>
<td align="center" valign="middle">3.01</td>
<td align="center" valign="middle">1.07</td>
<td align="center" valign="middle">3.45</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">10.26&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.56</td>
<td align="center" valign="middle">0.87</td>
<td align="center" valign="middle">3.02&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Self-discipline</td>
<td align="center" valign="middle">3.20</td>
<td align="center" valign="middle">1.14</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">7.58&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">0.90</td>
<td align="center" valign="middle">2.12&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Altruism</td>
<td align="center" valign="middle">3.14</td>
<td align="center" valign="middle">1.12</td>
<td align="center" valign="middle">3.58</td>
<td align="center" valign="middle">0.97</td>
<td align="center" valign="middle">9.27&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">0.89</td>
<td align="center" valign="middle">1.06</td>
</tr>
<tr>
<td align="center" valign="middle">Transcendence</td>
<td align="center" valign="middle">3.27</td>
<td align="center" valign="middle">1.15</td>
<td align="center" valign="middle">3.68</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">10.35&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.77</td>
<td align="center" valign="middle">0.84</td>
<td align="center" valign="middle">2.61&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>During the second phase, Group A, which transitioned to the new teaching model, exhibited highly significant improvements across all six dimensions of positive psychological qualities. Meanwhile, Group B, which switched to the traditional teaching model, showed moderately significant improvements in the &#x201C;Cognition,&#x201D; &#x201C;Emotion&#x201D; and &#x201C;Self-discipline&#x201D; dimensions, and significant improvements (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01) in the &#x201C;Willpower&#x201D; and &#x201C;Transcendence&#x201D; dimensions.</p>
<p><xref ref-type="table" rid="tab2">Table 2</xref> presents the intergroup differences in the positive psychological qualities of participants in Groups A and B during the experiment. Since the four parallel classes were grouped using a balanced approach based on their initial scores, and neither group had prior exposure to positive psychology theories, the pre-test scores of Groups A and B were nearly identical. At the end of the first phase, the positive psychological qualities of Group B participants, who received the new teaching model, were highly significantly higher across all six dimensions compared to those of Group A participants, who followed the traditional teaching model. By the end of the second phase, the positive psychological qualities of Groups A and B converged, with no significant differences observed between the two groups.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Independent sample <italic>t</italic>-test data for positive psychological qualities between Groups A and B.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Dimensions</th>
<th align="center" valign="top" colspan="3">Pre-test</th>
<th align="center" valign="top" colspan="3">Mid-test</th>
<th align="center" valign="top" colspan="3">Post-test</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Cognition</td>
<td align="center" valign="middle">2.98</td>
<td align="center" valign="middle">2.97</td>
<td align="center" valign="middle">0.20</td>
<td align="center" valign="middle">3.09</td>
<td align="center" valign="middle">3.46</td>
<td align="center" valign="middle">&#x2212;8.57&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">&#x2212;0.20</td>
</tr>
<tr>
<td align="left" valign="middle">Emotion</td>
<td align="center" valign="middle">3.24</td>
<td align="center" valign="middle">3.24</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">3.26</td>
<td align="center" valign="middle">3.66</td>
<td align="center" valign="middle">&#x2212;8.67&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">&#x2212;0.06</td>
</tr>
<tr>
<td align="left" valign="middle">Willpower</td>
<td align="center" valign="middle">3.01</td>
<td align="center" valign="middle">3.01</td>
<td align="center" valign="middle">&#x2212;0.11</td>
<td align="center" valign="middle">3.08</td>
<td align="center" valign="middle">3.45</td>
<td align="center" valign="middle">&#x2212;8.83&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">3.56</td>
<td align="center" valign="middle">&#x2212;0.75</td>
</tr>
<tr>
<td align="left" valign="middle">Self-discipline</td>
<td align="center" valign="middle">3.21</td>
<td align="center" valign="middle">3.20</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">3.22</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">&#x2212;7.16&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">&#x2212;0.40</td>
</tr>
<tr>
<td align="left" valign="middle">Altruism</td>
<td align="center" valign="middle">3.12</td>
<td align="center" valign="middle">3.14</td>
<td align="center" valign="middle">&#x2212;0.32</td>
<td align="center" valign="middle">3.16</td>
<td align="center" valign="middle">3.58</td>
<td align="center" valign="middle">&#x2212;8.94&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">&#x2212;0.316</td>
</tr>
<tr>
<td align="left" valign="middle">Transcendence</td>
<td align="center" valign="middle">3.26</td>
<td align="center" valign="middle">3.27</td>
<td align="center" valign="middle">&#x2212;0.120</td>
<td align="center" valign="middle">3.29</td>
<td align="center" valign="middle">3.68</td>
<td align="center" valign="middle">&#x2212;10.38&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.77</td>
<td align="center" valign="middle">3.77</td>
<td align="center" valign="middle">0.06</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec9">
<label>4.2</label>
<title>Results from the course survey questionnaire</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> presents the changes in the learning states of participants in Groups A and B throughout the experiment. In the first phase of the study, the traditional teaching model employed in Group A moderately significantly enhanced participants&#x2019; &#x201C;Professional literacy,&#x201D; while improvements in other dimensions were not statistically significant. In contrast, the novel teaching model applied in Group B produced highly significant improvements in participants&#x2019; &#x201C;Learning interest&#x201D; and &#x201C;Learning motivation,&#x201D; significant improvements in their &#x201C;Course comprehension,&#x201D; and moderately significant enhancements in their &#x201C;Learning attitude.&#x201D; However, it did not lead to significant improvements in participants&#x2019; &#x201C;Professional literacy.&#x201D;</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Paired sample <italic>t</italic>-test data for teaching status within Groups A and B.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top" rowspan="2">Dimensions</th>
<th align="center" valign="top" colspan="2">Pre-test</th>
<th align="center" valign="top" colspan="3">Mid-test</th>
<th align="center" valign="top" colspan="3">Post-test</th>
</tr>
<tr>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>t</italic>
</th>
<th align="center" valign="middle">
<italic>M</italic>
</th>
<th align="center" valign="middle">
<italic>SD</italic>
</th>
<th align="center" valign="middle">
<italic>t</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="7">Group A <italic>N</italic>&#x202F;=&#x202F;204</td>
<td align="center" valign="middle">Learning interest</td>
<td align="center" valign="middle">3.14</td>
<td align="center" valign="middle">0.95</td>
<td align="center" valign="middle">3.28</td>
<td align="center" valign="middle">0.83</td>
<td align="center" valign="middle">1.84</td>
<td align="center" valign="middle">3.76</td>
<td align="center" valign="middle">0.96</td>
<td align="center" valign="middle">6.63&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Learning attitude</td>
<td align="center" valign="middle">3.20</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">3.32</td>
<td align="center" valign="middle">0.91</td>
<td align="center" valign="middle">1.26</td>
<td align="center" valign="middle">3.69</td>
<td align="center" valign="middle">0.90</td>
<td align="center" valign="middle">4.40&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Course comprehension</td>
<td align="center" valign="middle">3.43</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">0.82</td>
<td align="center" valign="middle">1.20</td>
<td align="center" valign="middle">3.82</td>
<td align="center" valign="middle">0.89</td>
<td align="center" valign="middle">3.35&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Learning motivation</td>
<td align="center" valign="middle">2.81</td>
<td align="center" valign="middle">0.88</td>
<td align="center" valign="middle">2.95</td>
<td align="center" valign="middle">0.81</td>
<td align="center" valign="middle">1.26</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">0.93</td>
<td align="center" valign="middle">9.75&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Attitude toward the new teaching model</td>
<td align="center" valign="middle">3.31</td>
<td align="center" valign="middle">0.97</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
</tr>
<tr>
<td align="center" valign="middle">Attitude toward the current teaching method</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">3.30</td>
<td align="center" valign="middle">1.01</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">3.76</td>
<td align="center" valign="middle">0.91</td>
<td align="center" valign="middle">7.30&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Professional literacy</td>
<td align="center" valign="middle">3.58</td>
<td align="center" valign="middle">0.91</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">0.79</td>
<td align="center" valign="middle">1.99&#x002A;</td>
<td align="center" valign="middle">4.04</td>
<td align="center" valign="middle">0.82</td>
<td align="center" valign="middle">3.84&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="7">Group B <italic>N</italic>&#x202F;=&#x202F;203</td>
<td align="center" valign="middle">Learning interest</td>
<td align="center" valign="middle">3.10</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">0.88</td>
<td align="center" valign="middle">7.18&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.73</td>
<td align="center" valign="middle">0.82</td>
<td align="center" valign="middle">1.71</td>
</tr>
<tr>
<td align="center" valign="middle">Learning attitude</td>
<td align="center" valign="middle">3.32</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">0.82</td>
<td align="center" valign="middle">2.37&#x002A;</td>
<td align="center" valign="middle">3.69</td>
<td align="center" valign="middle">0.80</td>
<td align="center" valign="middle">1.90</td>
</tr>
<tr>
<td align="center" valign="middle">Course comprehension</td>
<td align="center" valign="middle">3.33</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">3.60</td>
<td align="center" valign="middle">0.90</td>
<td align="center" valign="middle">2.97&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.80</td>
<td align="center" valign="middle">0.78</td>
<td align="center" valign="middle">2.37&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Learning motivation</td>
<td align="center" valign="middle">2.91</td>
<td align="center" valign="middle">0.94</td>
<td align="center" valign="middle">3.37</td>
<td align="center" valign="middle">0.96</td>
<td align="center" valign="middle">7.19&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.57</td>
<td align="center" valign="middle">1.05</td>
<td align="center" valign="middle">2.86&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Attitude toward the new teaching model</td>
<td align="center" valign="middle">3.38</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
</tr>
<tr>
<td align="center" valign="middle">Attitude toward the current teaching method</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">3.80</td>
<td align="center" valign="middle">0.85</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">3.22</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">&#x2212;8.42&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="center" valign="middle">Professional literacy</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">0.95</td>
<td align="center" valign="middle">3.78</td>
<td align="center" valign="middle">0.81</td>
<td align="center" valign="middle">1.89</td>
<td align="center" valign="middle">4.08</td>
<td align="center" valign="middle">0.73</td>
<td align="center" valign="middle">3.90&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>In the second phase, participants in Group A exhibited highly significant improvements across all six dimensions of learning states measured by the questionnaire. For Group B, compared to their mid-test levels, participants showed highly significant improvement in &#x201C;Professional literacy,&#x201D; significant improvement in &#x201C;Learning motivation,&#x201D; moderately significant improvement in &#x201C;Course comprehension,&#x201D; but a highly significant decline in their &#x201C;Attitude toward the current teaching method.&#x201D; Additionally, in the pre-test, the scores for &#x201C;Attitude toward the new teaching model&#x201D; were 3.31 and 3.38 for Groups A and B, respectively, exceeding the theoretical midpoint by 10.3 and 12.7%.</p>
<p><xref ref-type="table" rid="tab4">Table 4</xref> presents the intergroup differences in the learning states of participants in Groups A and B during the experiment. As shown, there were no significant differences between Groups A and B in their learning states during the pre-test. After the first phase of teaching, Group B participants scored significantly higher than Group A in three dimensions: &#x201C;Learning interest,&#x201D; &#x201C;Learning motivation,&#x201D; and &#x201C;Attitude toward the current teaching method,&#x201D; with highly significant differences. In the &#x201C;Learning attitude&#x201D; dimension, Group B also scored moderately significantly higher than Group A. After the second phase, Group A participants exhibited a highly significant advantage over Group B in their &#x201C;Attitude toward the current teaching method.&#x201D; Beyond this, no significant differences were observed between the two groups.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Independent sample <italic>t</italic>-test data for teaching status between Groups A and B.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Dimensions</th>
<th align="center" valign="top" colspan="3">Pre-test</th>
<th align="center" valign="top" colspan="3">Mid-test</th>
<th align="center" valign="top" colspan="3">Post-test</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
<th align="center" valign="top">
<italic>M<sub>A</sub></italic>
</th>
<th align="center" valign="top">
<italic>M<sub>B</sub></italic>
</th>
<th align="center" valign="top">
<italic>t</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Learning interest</td>
<td align="center" valign="middle">3.14</td>
<td align="center" valign="middle">3.10</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">3.28</td>
<td align="center" valign="middle">3.61</td>
<td align="center" valign="middle">&#x2212;4.84&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.76</td>
<td align="center" valign="middle">3.73</td>
<td align="center" valign="middle">0.49</td>
</tr>
<tr>
<td align="left" valign="middle">Learning attitude</td>
<td align="center" valign="middle">3.20</td>
<td align="center" valign="middle">3.32</td>
<td align="center" valign="middle">&#x2212;1.20</td>
<td align="center" valign="middle">3.32</td>
<td align="center" valign="middle">3.53</td>
<td align="center" valign="middle">&#x2212;2.49&#x002A;</td>
<td align="center" valign="middle">3.69</td>
<td align="center" valign="middle">3.69</td>
<td align="center" valign="middle">0.03</td>
</tr>
<tr>
<td align="left" valign="middle">Course comprehension</td>
<td align="center" valign="middle">3.43</td>
<td align="center" valign="middle">3.33</td>
<td align="center" valign="middle">1.05</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">3.60</td>
<td align="center" valign="middle">&#x2212;0.64</td>
<td align="center" valign="middle">3.82</td>
<td align="center" valign="middle">3.80</td>
<td align="center" valign="middle">0.26</td>
</tr>
<tr>
<td align="left" valign="middle">Learning motivation</td>
<td align="center" valign="middle">2.81</td>
<td align="center" valign="middle">2.91</td>
<td align="center" valign="middle">&#x2212;1.55</td>
<td align="center" valign="middle">2.95</td>
<td align="center" valign="middle">3.37</td>
<td align="center" valign="middle">&#x2212;6.86&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.54</td>
<td align="center" valign="middle">3.57</td>
<td align="center" valign="middle">&#x2212;0.47</td>
</tr>
<tr>
<td align="left" valign="middle">Attitude toward the new teaching model</td>
<td align="center" valign="middle">3.31</td>
<td align="center" valign="middle">3.38</td>
<td align="center" valign="middle">&#x2212;1.08</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
</tr>
<tr>
<td align="left" valign="middle">Attitude toward the current teaching method</td>
<td align="center" valign="middle">/</td>
<td align="center" valign="middle">/</td>
<td/>
<td align="center" valign="middle">3.30</td>
<td align="center" valign="middle">3.80</td>
<td align="center" valign="middle">&#x2212;7.77&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.76</td>
<td align="center" valign="middle">3.22</td>
<td align="center" valign="middle">8.16&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Professional literacy</td>
<td align="center" valign="middle">3.58</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">&#x2212;0.43</td>
<td align="center" valign="middle">3.74</td>
<td align="center" valign="middle">3.78</td>
<td align="center" valign="middle">&#x2212;0.52</td>
<td align="center" valign="middle">4.04</td>
<td align="center" valign="middle">4.08</td>
<td align="center" valign="middle">&#x2212;0.45</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec10">
<label>5</label>
<title>Discussion</title>
<sec id="sec11">
<label>5.1</label>
<title>The impact of the PERMA-based PBL teaching model on students&#x2019; positive psychological qualities</title>
<p>It is evident that the PERMA-based PBL teaching model outperformed the traditional teaching model in enhancing the positive psychological qualities of vocational high school students, aligning with findings from studies across other educational levels (<xref ref-type="bibr" rid="ref26">Kovich et al., 2023</xref>; <xref ref-type="bibr" rid="ref23">Kern et al., 2015</xref>). Instruction guided by the PERMA model provides students with increased positive emotional experiences and overall well-being, thereby fostering individual and societal flourishing (<xref ref-type="bibr" rid="ref14">Dorri and Aghaei, 2024</xref>).</p>
<p>However, as shown in <xref ref-type="table" rid="tab1">Table 1</xref>, the efficacy of the traditional teaching model in improving participants&#x2019; positive psychological qualities differed between Groups A and B. In Group A, the traditional teaching model implemented during the first phase only yielded moderately significant improvements in participants&#x2019; &#x201C;Cognitive&#x201D; levels. Conversely, in Group B, the traditional teaching model used during the second phase resulted in statistically significant enhancements across five dimensions: &#x201C;Cognition,&#x201D; &#x201C;Emotion,&#x201D; &#x201C;Willpower,&#x201D; &#x201C;Self-discipline,&#x201D; and &#x201C;Transcendence.&#x201D; This discrepancy may be attributed to the new teaching model applied to Group B during the first phase, which established more positive teacher-student relationships prior to their exposure to traditional instruction. Consequently, even without incorporating positive psychology theories in subsequent teaching, researchers still exerted a beneficial influence on this group&#x2019;s positive psychological qualities. In classroom settings, negative teacher-student relationships undermine students&#x2019; autonomy and subjective well-being, ultimately impairing their academic performance and mental health (<xref ref-type="bibr" rid="ref57">Zhou et al., 2023</xref>). Conversely, positive teacher-student relationships significantly boost students&#x2019; well-being, learning motivation, and academic achievement&#x2014;a finding consistent with this study&#x2019;s experimental results (<xref ref-type="bibr" rid="ref41">Robinson, 2022</xref>).</p>
<p>Collectively, the PERMA-based PBL teaching model not only provides vocational students with more positive emotional experiences but also facilitates stronger teacher-student relationships, thus comprehensively enhancing their positive psychological qualities.</p>
</sec>
<sec id="sec12">
<label>5.2</label>
<title>The impact of the PERMA-based PBL teaching model on students&#x2019; learning states</title>
<p>Based on the data presented in <xref ref-type="table" rid="tab3">Tables 3</xref>, <xref ref-type="table" rid="tab4">4</xref>, it is evident that vocational high school students demonstrate a stronger preference for the novel teaching model. Furthermore, the novel teaching model exhibits significantly greater effectiveness than the traditional teaching model in enhancing students&#x2019; learning interest and learning attitudes, thereby reconfirming the role of positive psychology theory in improving students&#x2019; learning states (<xref ref-type="bibr" rid="ref1">Al-Mansoori and Dana, 2017</xref>).</p>
<p>However, as illustrated in <xref ref-type="table" rid="tab4">Table 4</xref>, the advantages of the novel teaching model over the traditional model in improving students&#x2019; &#x201C;Course comprehension&#x201D; and &#x201C;Professional literacy&#x201D; are less pronounced. Regarding &#x201C;Course comprehension,&#x201D; the novel teaching model highly significantly enhanced this dimension among participants in Group A and significantly enhanced it in Group B. In contrast, the traditional teaching model had a moderately significant effect on improving course comprehension in Group B but showed no significant effect in Group A. This indicates that the novel teaching model outperforms the traditional model in enhancing participants&#x2019; comprehension of the course. One reason for the non-significant results in the independent-samples t-test of the mid-test mean scores for the &#x201C;Course comprehension&#x201D; dimension between Groups A and B is that the pre-test mean score for this dimension in Group B was lower than that in Group A.</p>
<p>Concerning &#x201C;Professional literacy,&#x201D; <xref ref-type="table" rid="tab3">Table 3</xref> reveals minimal improvement in this dimension for both groups during the first phase of the study, whereas highly significant enhancement was observed in the second phase. This pattern may be attributed to the logical structure of the Mechanical Drawing course content. In mainland China, this course is typically taught in a sequence of theory followed by practice (<xref ref-type="bibr" rid="ref59">Zhu and Xu, 2020</xref>). Consequently, the teaching content in the second phase incorporated substantially more practice-oriented tasks closely aligned with real workplace environments compared to the first phase. Since practice serves as an effective means to enhance engineering students&#x2019; innovation capabilities and professional literacy (<xref ref-type="bibr" rid="ref6">Chen et al., 2021</xref>), this discrepancy may have led to an uneven rate of improvement in students&#x2019; professional literacy levels between the two phases. Additionally, participants in this study were simultaneously enrolled in other specialized courses during the research period, which may have also influenced their professional literacy levels.</p>
<p>As technology continues to advance, society demands increasingly higher levels of professional literacy from vocational high school students. How to comprehensively enhance students&#x2019; professional literacy during the teaching process and strengthen their competitiveness in the job market remains a significant educational challenge (<xref ref-type="bibr" rid="ref22">Huang et al., 2011</xref>).</p>
</sec>
<sec id="sec13">
<label>5.3</label>
<title>Limitations</title>
<p>The participants in this study were exclusively first-year mechanical students from a vocational high school in Shandong Province, with no inclusion of students from other disciplines or regions. This limits the generalizability of the findings to a broader student population. Furthermore, in mainland China, male students significantly outnumber females in vocational high school mechanical programs. As a result, this study did not specifically explore gender as a factor.</p>
</sec>
<sec id="sec14">
<label>5.4</label>
<title>Recommendations</title>
<p>This study confirmed the effectiveness of the PERMA-based PBL teaching model. Future research should aim to extend the application of this teaching model to other disciplines, educational stages, and countries or regions while exploring demographic variables in greater detail to evaluate and refine the model further.</p>
<p>Additionally, leveraging positive psychology theories or models as guiding frameworks to reform traditional teaching practices represents a promising direction for positive education. Future studies could adaptively select various positive psychology theories and compatible teaching models based on course characteristics to achieve optimal teaching outcomes.</p>
<p>Finally, as an important framework within positive psychology, the PERMA model is undoubtedly effective in improving individual health and well-being. However, its five core elements are not absolutely comprehensive and may benefit from refinement. Future researchers could consider modifying the dimensions of the PERMA model to develop a more holistic approach to enhancing participants&#x2019; positive psychological qualities.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec15">
<label>6</label>
<title>Conclusion</title>
<p>This study proposed a PERMA-based PBL teaching model by integrating the PERMA framework into the PBL teaching approach. Compared to traditional positive psychology interventions, which often require high levels of psychological expertise from implementers, this teaching model is relatively simple to operate, demands less knowledge of positive psychology theories, and is more feasible for widespread implementation in vocational high schools.</p>
<p>Using a crossover experimental design, this study validated the effectiveness of the new teaching model. The PERMA-based PBL teaching model significantly outperformed the traditional teaching model across all six dimensions of positive psychological qualities. Additionally, it proved more effective than the traditional teaching model in enhancing students&#x2019; &#x201C;Learning Interest,&#x201D; &#x201C;Learning Attitude,&#x201D; and &#x201C;Learning Motivation.&#x201D; Overall, the novel teaching model significantly enhances the positive psychological qualities of vocational high school students and improves their overall learning conditions. Moreover, compared to the traditional teaching model, the novel teaching model is more favorably received among vocational high school students.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec16">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="ethics-statement" id="sec17">
<title>Ethics statement</title>
<p>The studies involving humans were approved by The Review Committee of the School of Mechatronic Engineering at Jiangsu Normal University and Tai&#x2019;an Polytechnic Vocational School. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x2019; legal guardians/next of kin.</p>
</sec>
<sec sec-type="author-contributions" id="sec18">
<title>Author contributions</title>
<p>YL: Writing &#x2013; original draft, Conceptualization, Data curation, Investigation, Methodology. YG: Project administration, Resources, Writing &#x2013; review &#x0026; editing. XW: Project administration, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec19">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work received financial support from the Ministry of Education Science and Technology Industry-University Cooperation and Education Project (No. 201902086001) and The Graduate Innovation Project of Jiangsu Normal University (No. 2024XKT0691).</p>
</sec>
<ack>
<p>Thanks to the School of Mechatronic Engineering of Jiangsu Normal University and Tai&#x2019;an Polytechnic Vocational School, and all the participants.</p>
</ack>
<sec sec-type="COI-statement" id="sec20">
<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="sec21">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec22">
<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>
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