An essay on proof, conviction, and explanation: multiple representation systems in combinatorics

Author:

Lockwood EliseORCID,Caughman John S.,Weber Keith

Publisher

Springer Science and Business Media LLC

Subject

Education,General Mathematics

Reference27 articles.

1. Balacheff, N. (2009). Bridging knowing and proving in mathematics: A didactical perspective. In Pulte, H., Hanna, G., & Jahnke, H. J. (Eds.). (2009). Explanation and proof in mathematics: Philosophical and educational perspectives. New York, NY: Springer.

2. Bartlo, J. R. (2013). Why ask why: An exploration of the role of proof in the mathematics classroom. (Unpublished doctoral dissertation). Portland State University. Portland, OR.

3. Batanero, C., Navarro-Pelayo, V., & Godino, J. (1997). Effect of the implicit combinatorial model on combinatorial reasoning in secondary school pupils. Educational Studies in Mathematics, 32, 181–199.

4. Brown, S. A. (2014). On skepticism and its role in the development of proof in the classroom. Educational Studies in Mathematics, 86(3), 311–335.

5. De Villiers, M. (1999). The role and function of proof. In M. de Villiers (Ed.), Rethinking proof with the Geometer’s Sketchpad (pp. 3–10). Emeryville, CA: Key Curriculum Press.

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Investigating insight and rigour as separate constructs in mathematical proof;Research in Mathematics Education;2024-08-06

2. Proof and proving in school and university mathematics education research: a systematic review;ZDM – Mathematics Education;2023-08-30

3. Gridpoint Method for Proving Combinatorial Identities;TEM Journal;2022-11-25

4. Experienced provers’ uses of contexts while engaging in combinatorial proof of binomial identities;International Journal of Mathematical Education in Science and Technology;2022-10-14

5. Teaching and learning discrete mathematics;ZDM – Mathematics Education;2022-07-19

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3