Representation of Algebraic Reasoning in Sets through Argumentation
Open Access
- 30 October 2022
- journal article
- Published by Bilge Akademi in International Journal of Contemporary Educational Research
- Vol. 6 (2), 215-229
- https://doi.org/10.33200/ijcer.557781
Abstract
The purpose of the current study is to examine the ways in which preservice middle school mathematics teachers (PMSMT) apply and represent algebraic reasoning in their solution processes for the problems in the concept of sets. This model provides detailed information about the reasoning made through the process of the solution of set problems. The study group of this case study was composed of 20 preservice mathematics teachers. The data were collected through written documents and whole class discussions. Based on the findings of the study, three ways to represent algebraic reasoning in sets emerged; context-based representation of algebraic reasoning, generalization-based representation of algebraic reasoning and formulization-based representation of algebraic reasoning. These ways determined based on the argumentations that they formed. They produced different warrants since they reasoned differently.Keywords
This publication has 27 references indexed in Scilit:
- From visual reasoning to logical necessity through argumentative designEducational Studies in Mathematics, 2011
- Perceptions of the Nature and ‘Goodness’ of Argument among College Students, Science Teachers, and ScientistsInternational Journal of Science Education, 2010
- How can the relationship between argumentation and proof be analysed?Educational Studies in Mathematics, 2007
- Modelling mathematical argumentation: the importance of qualificationEducational Studies in Mathematics, 2007
- Proof validation in real analysis: Inferring and checking warrantsThe Journal of Mathematical Behavior, 2005
- What we can learn from analyzing the teacher’s role in collective argumentationThe Journal of Mathematical Behavior, 2002
- Supporting and Promoting Argumentation Discourse in Science EducationStudies in Science Education, 2002
- The gains and the pitfalls of reification — The case of algebraEducational Studies in Mathematics, 1994
- Strategies That Help Learning-Disabled Students Solve Verbal Mathematical ProblemsPreventing School Failure: Alternative Education for Children and Youth, 1990
- Naturalistic inquiry: Beverly Hills, CA: Sage Publications, 1985, 416 pp., $25.00 (Cloth)International Journal of Intercultural Relations, 1985