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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">IEF</journal-id><journal-title-group><journal-title>International Education Forum</journal-title></journal-title-group><issn>3083-4902</issn><eissn>2981-8605</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/ief.v3i7.11574</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Research on the Teaching Model of Advanced Mathematics Based on Problem-Based Learning (PBL)</title><url>https://artdesignp.com/journal/IEF/3/7/10.26689/ief.v3i7.11574</url><author>JiaXuewen</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>3</volume><issue>7</issue><history><date date-type="pub"><published-time>2025-08-07</published-time></date></history><abstract>This study examines the application of Problem-Based Learning (PBL) in Advanced Mathematics education to enhance student engagement and conceptual understanding. By integrating real-world problems and collaborative inquiry, the PBL model shifts the focus from passive learning to active knowledge construction. The research highlights the model’s effectiveness in fostering critical thinking, problem-solving skills, and interdisciplinary connections. Findings suggest that PBL not only improves learning outcomes but also transforms students into proactive learners. The study proposes future directions, including the development of PBL case databases and blended learning approaches, to further optimize mathematics instruction.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Barrows HS, 1969, Problem-based Learning in Medical Education, thesis, McMaster University.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Dewey J, 1938, Experience and Education, in the Kappa Delta Pi Lecture Series. Macmillan, New York.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Hmelo-Silver CE, 2004, Problem-based Learning: What and How Do Students Learn? Educational Psychology Review, 16(3): 235–266.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Lave J, Wenger E, 1991, Situated Learning: Legitimate Peripheral Participation. Cambridge University Press, Cambridge.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Piaget J, 1950, The Psychology of Intelligence. Routledge, New York.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Sweller J, 1988, Cognitive Load during Problem Solving: Effects on Learning. Cognitive Science, 12(2): 257–285.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Xu J, Zhu J, Ji G, 2017, Research on the Application of PBL in Advanced Mathematics Teaching. Tomorrow’s Fashion, 2017(21): 386.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B8" content-type="article"><label>8</label><element-citation publication-type="journal"><p>Hu X, Yang Y, Chen L, 2020, Construction of a PBL Case Database for Advanced Mathematics. Technology and Economic Guide, 2020(19): 151.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
