Coordinating invisible and visible sameness within equivalence transformations of numerical equalities by 10- to 12-year-olds in their movement from computational to structural approaches

Author:

Kieran Carolyn,Martínez-Hernández Cesar

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Education

Reference24 articles.

1. Asghari, A. (2018). Equivalence: An attempt at a history of the idea. Synthese. https://doi.org/10.1007/s11229-018-1674-2

2. Cable, J. (2013). More equal than others: A view from the grassroots. Philosophy of Mathematics Education Journal, 27 (April). http://socialsciences.exeter.ac.uk/education/research/centres/stem/publications/pmej/pome27/index.html. Accessed 6 Apr 2022

3. Cable, J. (2014). La même chose: How mathematics can explain the thinking of children and the thinking of children can illuminate mathematical philosophy. Science & Education, 23(1), 223–240.

4. Carpenter, T. P., & Franke M. L. (2001). Developing algebraic reasoning in the elementary school: Generalization and proof. In H. Chick, K. Stacey, J. Vincent, & J. Vincent (Eds.), The Future of the Teaching and Learning of Algebra (Proceedings of the 12th ICMI Study Conference, Vol. 1, pp. 155–162). Program Committee of ICMI-12 Study.

5. Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Reidel.

Cited by 7 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. Revisiting the Relationship of Arithmetical Thinking and Letter-Symbolic Algebra;International Journal of Science and Mathematics Education;2024-08-23

2. Trends, insights, and developments in research on the teaching and learning of algebra;ZDM – Mathematics Education;2024-02-09

3. Gleichungen erforschen;Mathematik Primarstufe und Sekundarstufe I + II;2024

4. Developing the concept of task substitution and transformation by defining own equivalences;Educational Studies in Mathematics;2023-09-20

5. Mathematics education research on algebra over the last two decades: quo vadis?;Frontiers in Education;2023-08-09

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