Representation of Algebraic Reasoning in Sets through Argumentation

Year 2019, , 215 - 229, 13.12.2019

Tuğba Uygun , Pinar Güner

https://doi.org/10.33200/ijcer.557781

Cited By: 1

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

Algebraic reasoning, Argumentation, Representation of algebraic reasoning, sets

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