{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,4]],"date-time":"2026-09-04T06:12:40Z","timestamp":1788502360045,"version":"build-2803163510"},"reference-count":73,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2026,9,4]],"date-time":"2026-09-04T00:00:00Z","timestamp":1788480000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Psychol."],"abstract":"<jats:sec>\n                    <jats:title\/>\n                    <jats:p>\n                      Against the backdrop of the worldwide shift toward competency-driven basic education reform, project-based learning (PBL) is widely recognized for its student-centered design and authentic problem-solving approach. Empirical evidence on the effectiveness of Mathematics PBL is highly varied; traditional meta-analysis often fails to properly address nested data structures. This study conducted a three-level meta-analysis spanning the past 20\u202fyears, a total of 35 eligible studies were included. In the primary meta-analytic model, two statistically outlying studies were identified and excluded based on Cook\u2019s distance. Ultimately, 33 studies with 84 effect sizes were incorporated into the main effect analysis.to comprehensively quantify PBL\u2019s impact on students\u2019 mathematical achievement. The results indicated a significant overall effect size for PBL (Cohen\u2019s\n                      <jats:italic>d<\/jats:italic>\n                      \u202f=\u202f0.529, 95% CI [0.38, 0.68]), but publication bias analyses suggested potential overestimation (trim-and-fill corrected estimate\u202f=\u202f0.275); therefore, findings should be interpreted cautiously. Moderator analyses revealed that cultural background and intervention duration significantly influenced outcomes. Notably, PBL demonstrated strong effectiveness within a 1-to-8-week timeframe. Non-cognitive abilities showed a numerically larger effect than cognitive abilities, but the difference was not statistically significant (\n                      <jats:italic>p<\/jats:italic>\n                      \u202f=\u202f0.083). No significant moderators were found for educational level, class size, group size, mathematics knowledge domain, publication type, or the number of technology types used, suggesting that PBL is broadly generalizable across various mathematics teaching contexts. Given the presence of publication bias, these results provide moderate rather than robust support for the localized application of mathematics PBL.\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Systematic review registration<\/jats:title>\n                    <jats:p>\n                      <jats:uri>https:\/\/www.crd.york.ac.uk\/PROSPERO\/view\/CRD420251105265<\/jats:uri>\n                      , identifier CRD420251105265.\n                    <\/jats:p>\n                  <\/jats:sec>","DOI":"10.3389\/fpsyg.2026.1868415","type":"journal-article","created":{"date-parts":[[2026,9,4]],"date-time":"2026-09-04T05:29:38Z","timestamp":1788499778000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Can project-based learning improve students\u2019 mathematics learning outcomes: a three-level meta-analysis"],"prefix":"10.3389","volume":"17","author":[{"given":"Chunting","family":"Wang","sequence":"first","affiliation":[{"name":"School of Teacher Development, Shaanxi Normal University","place":["Xi\u2019an, Shaanxi, China"]},{"name":"Xi'an Academy of Educational Science","place":["Xi\u2019an, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenlan","family":"Zhang","sequence":"additional","affiliation":[{"name":"Faculty of Education, Shaanxi Normal University","place":["Xi\u2019an, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiaxin","family":"Cheng","sequence":"additional","affiliation":[{"name":"Faculty of Education, Shaanxi Normal University","place":["Xi\u2019an, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1965","published-online":{"date-parts":[[2026,9,4]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","first-page":"1674141","DOI":"10.3389\/feduc.2025.1674141","article-title":"ChatGPT and intrinsic motivation in higher education: a TAM-based study","volume":"10","author":"Afzaal","year":"2025","journal-title":"Front. Educ."},{"key":"ref2","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1111\/test.12405","article-title":"Enhancing statistics education through project-based learning (PBL) and the emergence of ChatGPT","volume":"47","author":"Al Labadi","year":"2025","journal-title":"Teach. Stat."},{"key":"ref3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4018\/ijicte.332372","article-title":"Using project-based learning through the Madrasati platform for mathematics teaching in secondary schools","volume":"19","author":"Alenezi","year":"2023","journal-title":"Int. J. Inf. Commun. Technol. Educ."},{"key":"ref4","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/978-1-4614-2018-7_8","volume-title":"Handbook of Research on Student Engagement","author":"Anderman","year":"2012"},{"key":"ref5","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1016\/0749-5978(91)90022-l","article-title":"Social cognitive theory of self-regulation","volume":"50","author":"Bandura","year":"1991","journal-title":"Organ. Behav. Hum. Decis. Process."},{"key":"ref6","doi-asserted-by":"crossref","DOI":"10.4324\/9781410606365","volume-title":"Experiencing school Mathematics: Traditional and reform Approaches to Teaching and Learning","author":"Boaler","year":"2002"},{"key":"ref7","volume-title":"Traditional vs. project-based Learning: The Effects on Student Performance and Motivation in Honors level Mathematics Courses","author":"Carter","year":"2016"},{"key":"ref8","doi-asserted-by":"publisher","first-page":"50","DOI":"10.15320\/ELRDR.2015.2.2.50","article-title":"The impact of project-based learning on minority student achievement: implications for school redesign","volume":"2","author":"Cervantes","year":"2015","journal-title":"NCPEA Educ. Leader. Rev. Doctor. Res."},{"key":"ref9","volume-title":"An Empirical Study on project-based Learning Promoting the Development of Eighth-grade Students' Mathematical Modeling Ability","author":"Chen","year":"2024"},{"key":"ref10","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.edurev.2018.11.001","article-title":"Revisiting the effects of project-based learning on students\u2019 academic achievement: a meta-analysis investigating moderators","volume":"26","author":"Chen","year":"2019","journal-title":"Educ. Res. Rev."},{"key":"ref11","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1111\/1467-8721.ep10768783","article-title":"Statistical power analysis","volume":"1","author":"Cohen","year":"1992","journal-title":"Curr. Dir. Psychol. Sci."},{"key":"ref12","volume-title":"Aprendizaje basado en proyectos en el desarrollo de competencias de matem\u00e1tica en estudiantes del CEBA Jos\u00e9 Antonio Encinas de Az\u00e1ngaro-2022 (Project-based learning in the development of mathematical competencies in students of CEBA Jos\u00e9 Antonio Encinas de Az\u00e1ngaro-2022) (Publication No. 32008137) [Tesis de segunda especialidad en Educaci\u00f3n B\u00e1sica Alternativa (Second Specialization in Alternative Basic Education), Universidad Nacional del Altiplano]","author":"Condori Condori","year":"2024"},{"key":"ref13","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1177\/2096531120928089","article-title":"Mathematical, mathematics educational, and educational values in mathematical modeling tasks","volume":"4","author":"Dede","year":"2020","journal-title":"ECNU Rev. Educ."},{"key":"ref14","doi-asserted-by":"publisher","first-page":"9","DOI":"10.14201\/eks.23523","article-title":"Aprendizaje basado en proyectos por medio de la plataforma YouTube para la ense\u00f1anza de matem\u00e1ticas en Educaci\u00f3n Primaria","volume":"21","author":"Del Valle-Ram\u00f3n","year":"2020","journal-title":"Educ. Knowl. Soc. (EKS)"},{"key":"ref15","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1080\/0020739X.2021.1953625","article-title":"Profiling mathematical procedural and problem-solving skills of undergraduate students following a new mathematics curriculum","volume":"54","author":"Faulkner","year":"2023","journal-title":"International Journal of Mathematical Education in Science and Technology"},{"key":"ref16","volume-title":"Research on the design and Application of process-Oriented Evaluation in project-based Learning of senior high school Mathematics","author":"Feng","year":"2024"},{"key":"ref17","volume-title":"The Impact of Project-Based Learning on Reading and Mathematics Scores of Eighth Grade Students","author":"Garner","year":"2020"},{"key":"ref9001","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1136\/bmj.327.7414.557","article-title":"Measuring inconsistency in meta-analyses","volume":"327","author":"Higgins","year":"2003","journal-title":"Bmj"},{"key":"ref18","volume-title":"Cultures and Organizations: Software of the mind","author":"Hofstede","year":"2010"},{"key":"ref19","volume-title":"Active Engagement: A Study of project-based Learning in the math Classroom","author":"Holmes","year":"2022"},{"key":"ref20","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1080\/00220671.2014.979911","article-title":"Exploring the effects of project-based learning in secondary mathematics education","volume":"109","author":"Holmes","year":"2016","journal-title":"J. Educ. Res."},{"key":"ref21","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/s10763-018-9899-6","article-title":"The influence of culture on students\u2019 mathematics achievement across 51 countries","volume":"16","author":"Hu","year":"2018","journal-title":"Int. J. Sci. Math. Educ."},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2021.704269","article-title":"University teachers' teaching style and their students' agentic engagement in EFL learning in China: a self-determination theory and achievement goal theory integrated perspective","volume":"12","author":"Jiang","year":"2021","journal-title":"Front. Psychol."},{"key":"ref23","doi-asserted-by":"publisher","first-page":"em0853","DOI":"10.29333\/iejme\/16899","article-title":"The utilization of computer-assisted mathematics education integrated into project-based learning to optimize Indonesian students' mathematics achievement: a systematic review and meta-analysis","volume":"20","author":"Juandi","year":"2025","journal-title":"Int. Electron. J. Math. Educ."},{"key":"ref24","doi-asserted-by":"publisher","first-page":"145","DOI":"10.12973\/eurjedu.2014.3310","article-title":"The effect of project based learning on the statistical literacy levels of 8th grade students","volume":"3","author":"Koparan","year":"2014","journal-title":"Eur. J. Educ. Res."},{"key":"ref25","volume-title":"Mathematics Teaching Reimagined: Seven Competencies to foster robust Student Learning and Engagement using the CMC Framework for Deeper Mathematical Thinking","author":"Lang-Raad","year":"2025"},{"key":"ref26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.15700\/saje.v41n3a1909","article-title":"The influence of project-based learning on student achievement in elementary mathematics education","volume":"41","author":"Lazi\u0107","year":"2021","journal-title":"S. Afr. J. Educ."},{"key":"ref27","volume-title":"Research on the design and Practice of project-based Learning in junior high school Mathematics Curriculum","author":"Li","year":"2022"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijer.2025.102570","article-title":"Effects of personalized approach on fourth-grade students\u2019 academic performance in project-based learning","volume":"131","author":"Lin","year":"2025","journal-title":"Int. J. Educ. Res."},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2021.593715","article-title":"Implicit theories of intelligence and achievement goals: a look at students\u2019 intrinsic motivation and achievement in mathematics","volume":"12","author":"Liu","year":"2021","journal-title":"Front. Psychol."},{"key":"ref30","volume-title":"Research on the Teaching design and Experiment of Comprehensive and Practical Activities in Primary school Mathematics based on project-based Learning","author":"Lyu","year":"2023"},{"key":"ref31","volume-title":"Research on the Construction and Practice of project-based Learning Teaching model in junior high school Mathematics: A Case Study of the Tugui Method","author":"Ma","year":"2024"},{"key":"ref32","doi-asserted-by":"publisher","first-page":"1179","DOI":"10.1007\/s11423-023-10202-7","article-title":"Tackle implementation challenges in project-based learning: a survey study of PBL e-learning platforms","volume":"71","author":"Meng","year":"2023","journal-title":"Educ. Technol. Res. 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Technol."},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2022.933974","article-title":"Learning behavior, digital platforms for learning and its impact on university student\u2019s motivations and knowledge development","volume":"13","author":"Noor","year":"2022","journal-title":"Front. Psychol."},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ssaho.2025.101530","article-title":"Project-based learning: for higher education students\u2019 learning independence","volume":"11","author":"Novalia","year":"2025","journal-title":"Soc. Sci. Hum. Open"},{"key":"ref38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.12973\/ejmse.2015.314a","article-title":"The effect of project based learning in \"ratio, proportion and percentage\" unit on mathematics success and attitude","volume":"3","author":"\u00d6zdemir","year":"2015","journal-title":"Eur. J. Sci. Math. Educ."},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1136\/bmj.n71","article-title":"The PRISMA 2020 statement: an updated guideline for reporting systematic reviews","volume":"372","author":"Page","year":"2021","journal-title":"BMJ"},{"key":"ref40","doi-asserted-by":"publisher","first-page":"34","DOI":"10.33463\/ijess.93120183455","article-title":"Effect of the web project-based presentation of a mathematics unit on student success and students' opinions on the project process","volume":"9","author":"Peker \u00dcnal","year":"2018","journal-title":"Int. J. Eur. Soc. Sci."},{"key":"ref41","doi-asserted-by":"publisher","first-page":"113","DOI":"10.34190\/ejel.23.1.3781","article-title":"Blended learning and math achievement: a meta-analytic review highlighting the effectiveness and heterogeneity","volume":"23","author":"Putri","year":"2025","journal-title":"Electron. J. E-Learn."},{"key":"ref42","volume-title":"Research and Practice of Project-based Learning in Ninth-grade Mathematics Teaching of Junior High School","author":"Qiu","year":"2023"},{"key":"ref43","volume-title":"Project-based Learning and Student Achievement","author":"Quigley","year":"2010"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1057\/s41599-023-01914-5","article-title":"Fostering twenty-first century skills among primary school students through math project-based learning","volume":"10","author":"Rehman","year":"2023","journal-title":"Humanit. Soc. Sci. Commun."},{"key":"ref45","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/s10984-023-09477-7","article-title":"Effectiveness of project-based mathematics in first-year high school in terms of learning environment and student outcomes","volume":"27","author":"Rijken","year":"2023","journal-title":"Learn. Environ. Res."},{"key":"ref46","volume-title":"An Examination of the Effectiveness of Project-Based Learning on Student Academic Achievement and Teacher Perceptions of Project-Based Learning","author":"Sahli","year":"2017"},{"key":"ref47","doi-asserted-by":"publisher","first-page":"562","DOI":"10.1080\/10494820.2020.1799025","article-title":"Novices\u2019 instructional design problem-solving processes: second life as a problem-based learning environment","volume":"31","author":"Sancar-Tokmak","year":"2023","journal-title":"Interact. Learn. Environ."},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1057\/s41599-026-07870-0","article-title":"Mapping the path to effective project-based learning: a systematic review and analysis of models and practices","author":"S\u00e1nchez-Garc\u00eda","year":"2026","journal-title":"Hum. Soc. Sci. Commun."},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1080\/2331186x.2025.2461978","article-title":"Transforming mathematics education in Kazakhstan: evaluating the impact of innovative teaching methods on student outcomes in technical universities","volume":"12","author":"Saparbayeva","year":"2025","journal-title":"Cogent Educ."},{"key":"ref50","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1037\/13273-005","volume-title":"APA Educational Psychology Handbook, Vol 1: Theories, Constructs, and Critical Issues","author":"Schunk","year":"2012"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.cedpsych.2019.101832","article-title":"Motivation and social cognitive theory","volume":"60","author":"Schunk","year":"2020","journal-title":"Contemp. Educ. Psychol."},{"key":"ref52","volume-title":"The Effectiveness of project-based Learning on Student Geometry Achievement and Creativity within the Requirements of 21st-Century Learning","author":"Shchetynska","year":"2020"},{"key":"ref53","doi-asserted-by":"publisher","first-page":"986","DOI":"10.1002\/jee.20585","article-title":"Achievement goal theory in STEM education: a systematic review","volume":"113","author":"Struck Jannini","year":"2024","journal-title":"J. Eng. Educ."},{"key":"ref54","doi-asserted-by":"publisher","first-page":"177","DOI":"10.13092\/iojes.v1i1.244","article-title":"The effects of multiple intelligence approach in project based learning on mathematics achievement","volume":"1","author":"Tabuk","year":"2009","journal-title":"Int. Online J. Educ. Sci."},{"key":"ref55","doi-asserted-by":"publisher","first-page":"576","DOI":"10.3758\/s13428-012-0261-6","article-title":"Three-level meta-analysis of dependent effect sizes","volume":"45","author":"Van den Noortgate","year":"2012","journal-title":"Behav. Res. Methods"},{"key":"ref56","volume-title":"A Practical Research on project-based Teaching of Mathematics in junior high school","author":"Wang","year":"2022"},{"key":"ref57","first-page":"1","volume-title":"Proceedings of IConSES 2023:International Conference on Social and Education Sciences","author":"Wang","year":"2023"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1007\/s10648-024-09864-3","article-title":"The effects of problem-based, project-based, and case-based learning on students\u2019 motivation: a meta-analysis","volume":"36","author":"Wijnia","year":"2024","journal-title":"Educ. Psychol. Rev."},{"key":"ref59","volume-title":"A Practical Study on Improving junior high school Students' Higher-order Thinking Skills in Mathematics through project-based Learning","author":"Xu","year":"2025"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1111\/jcal.70079","article-title":"Impact of integrating computational thinking in STEM education on students' cognitive and non-cognitive skills: a meta-analysis","volume":"41","author":"Yang","year":"2025","journal-title":"J. Comput. Assist. Learn."},{"key":"ref61","doi-asserted-by":"publisher","first-page":"38387","DOI":"10.1109\/access.2025.3546319","article-title":"A comprehensive systematic review of AI-driven approaches to self-directed learning","volume":"13","author":"Younas","year":"","journal-title":"IEEE Access"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.3389\/feduc.2025.1689205","article-title":"The impact of artificial intelligence-based learning tools in academic innovation: a review of deep seek, GPT, and Gemini (2020\u20132025)","volume":"10","author":"Younas","year":"","journal-title":"Front. 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