<?xml version="1.1" encoding="utf-8"?>
<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">JCER</journal-id><journal-title-group><journal-title>Journal of Contemporary Educational Research</journal-title></journal-title-group><issn>2208-8466</issn><eissn>2208-8474</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/jcer.v8i12.9161</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Rediscovering Determinant Expansion on Row or Column Theorem Through Plausible Reasoning</title><url>https://artdesignp.com/journal/JCER/8/12/10.26689/jcer.v8i12.9161</url><author>LiuHaiyan</author><pub-date pub-type="publication-year"><year>2024</year></pub-date><volume>8</volume><issue>12</issue><history><date date-type="pub"><published-time>2024-12-31</published-time></date></history><abstract>Plausible reasoning is an important approach to reasoning conclusions. In order to cultivate students’ habits and abilities to use plausible reasoning, we should give the students a chance to imitate and practice plausible reasoning in our teaching. For our linear algebra course, most of the definitions and theorems in popular linear algebra textbooks are given directly. Thus, we give a concrete process that rediscovers determinant expansion on row or column theorem through plausible reasoning during our teaching to give the students the chance to learn the reasoning.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Polya G, 2014, Maths and Speculation, Science Press, Beijing, China.</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>Xu LZ, 2001, On Mathematical Methodology, Shandong Education Press, Jinan, China.</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>School of Mathematical Sciences, Tongji University, 2023, Linear Algebra, Higher Education Press, Beijing, China.</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>Lay DC, Lay SR, 2023, Linear Algebra and Its Application, China Machine Press, Beijing, China.</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>Tian CH, Sun YB, 2022, Linear Algebra, People’s Posts and Telecommunications Press, Beijing, China.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
