Visual Reasoning in Mathematics Education: A Conceptual Framework Proposal

Author:

GEÇİCİ Mehmet Ertürk1,TÜRNÜKLÜ Elif2

Affiliation:

1. Institute of Educational Sciences, Dokuz Eylül University, İzmir (Turkey). E-mail: erturkgecici@gmail.com

2. Buca Faculty of Education, Dokuz Eylül University, İzmir (Turkey). E-mail: elif.turnuklu@deu.edu.tr

Abstract

Abstract: Reasoning is handled as a basic process skill in mathematics teaching. When the literature was examined, it was seen that many types of reasoning related to mathematics education were mentioned. In the present study, it was focused on visual reasoning, which is one of the types of reasoning and also used in different research areas. The purpose of the study was to propose a conceptual framework for what visual reasoning is and what its components are. The conceptual framework constructed consists of three components as visual representation using, visualization, and transition to mathematical thinking. In this framework, a clear distinction was made between the concepts of visual reasoning and visualization, which are thought to be intertwined with each other in the literature. At the same time, we tried to explain where visualization will take place in visual reasoning. Additionally, how visual reasoning will relate to mathematical thinking also distinguishes the framework from other frameworks.

Publisher

Babes-Bolyai University

Reference73 articles.

1. " 1. Abd Hamid, H. (2017). Visual reasoning in solving mathematical problems on functions and their derivatives among Malaysian Pre-University Students (Doctoral dissertation). University of Malaya, Institute of Graduate Studies, Kuala Lumpur, Malaysia.

2. 2. Abd Hamid, H., Idris, N., & Tapsir, R. (2019). Students’ use of graphs in understanding the concepts of derivative. Southeast Asian Mathematics Education Journal, 9(1), 3-16.

3. 3. Abdullah, N., Zakaria, I., & Halim, L. (2012). The effect of a thinking strategy approach through visual representation on achievement and conceptual understanding in solving mathematical word problems. Asian Social Science, 8(16), 30–37.

4. 4. Akkan, Y., Akkan, P., Öztürk, M., & Demir, Ü. (2018). Görsel teoremler üzerine matematik öğretmenleriyle nitel bir çalışma [A qualitative study with mathematics teachers on visual theorems]. Journal of Instructional Technologies & Teacher Education, 7(2), 56-74.

5. 5. Alcock, L., & Simpson, A. (2004). Convergence of sequences and series: interactions between visual reasoning and the learner’s beliefs about their own role. Educational Studies in Mathematics, 57, 1–32.

Cited by 2 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

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