Teaching and Learning of Vertex Coloring Using an Inquiry-Based Approach

Q3 Mathematics PRIMUS Pub Date : 2023-01-18 DOI:10.1080/10511970.2023.2170505
Farzad Radmehr, Khaled Tohidinasab, M. Tavakoli
{"title":"Teaching and Learning of Vertex Coloring Using an Inquiry-Based Approach","authors":"Farzad Radmehr, Khaled Tohidinasab, M. Tavakoli","doi":"10.1080/10511970.2023.2170505","DOIUrl":null,"url":null,"abstract":"Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to calculus, linear algebra, and differential equations courses. In this paper, we focus on using an inquiry-based approach to explore the teaching and learning of vertex coloring, a common topic in graph theory and undergraduate discrete mathematical courses. We designed seven inquiry-based tasks related to vertex coloring to teach vertex coloring in an undergraduate graph theory course to students majoring in mathematics. In sharing these tasks, describing students’ engagement with them, and discussing how these tasks were perceived by the students and lecturer, we hope to promote using inquiry-based tasks in undergraduate discrete mathematical courses.","PeriodicalId":39375,"journal":{"name":"PRIMUS","volume":"28 1","pages":"780 - 795"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PRIMUS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10511970.2023.2170505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0

Abstract

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to calculus, linear algebra, and differential equations courses. In this paper, we focus on using an inquiry-based approach to explore the teaching and learning of vertex coloring, a common topic in graph theory and undergraduate discrete mathematical courses. We designed seven inquiry-based tasks related to vertex coloring to teach vertex coloring in an undergraduate graph theory course to students majoring in mathematics. In sharing these tasks, describing students’ engagement with them, and discussing how these tasks were perceived by the students and lecturer, we hope to promote using inquiry-based tasks in undergraduate discrete mathematical courses.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
探究性顶点着色的教与学
在许多国家,传统的讲授是本科数学课程的主要教学方法,而积极的以学生为中心的方法,如探究性学习,在某些情况下更为有效。大多数高等教育的教学资源(探究式任务)都与微积分、线性代数和微分方程课程有关。在本文中,我们着重于使用探究式的方法来探讨顶点着色的教与学,这是图论和本科离散数学课程中的一个常见话题。我们设计了7个与顶点着色相关的探究式任务,在本科图论课程中对数学专业的学生进行顶点着色教学。通过分享这些任务,描述学生参与其中的情况,并讨论学生和讲师如何看待这些任务,我们希望促进在本科离散数学课程中使用探究式任务。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
PRIMUS
PRIMUS Social Sciences-Education
CiteScore
1.60
自引率
0.00%
发文量
42
期刊最新文献
Our Journey from Collaborative Coordination to a Specifications-Based Grading Approach in Calculus 1 A Blended Teaching Sequence for Introducing Eigentheory in a Large University Class Inquiry-Based Linear Algebra Teaching and Learning in a Flipped Classroom Framework: A Case Study Sustaining Active Learning in Undergraduate Precalculus: Results and Challenges of a Course Redesign An Application Approach to Teaching Linear Algebra
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1