Types of Global Argumentation Structures in Conjecture-Generation Activities Regarding Geometry


DEMİRAY E., IŞIKSAL BOSTAN M., SAYGI E.

INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1007/s10763-021-10172-3
  • Journal Name: INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION
  • Journal Indexes: Social Sciences Citation Index, Scopus, IBZ Online, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center)

Abstract

Toulmin's argumentation model is an effective tool in the description of one step of an argument. However, there is a need to consider more than this model to portray a comprehensive argumentation process. The purpose of the study is to investigate types of global argumentation structures that emerged while prospective middle school mathematics teachers were working on conjecture-generation activities related to geometry. The participants were junior prospective middle school mathematics teachers at a state university in Ankara, Turkey. The eight global argumentation structures that emerged via conjecture-generation activities of two groups were classified as mono structures and hybrid structures. According to the findings, three types of mono structures, which are the reservoir-structure, the funneling-structure, and the branching-structure, were seen among four possible cases. Three types of hybrid structures were observed among eleven possible combinations of the mono structures, namely, the reservoir-funneling-structure, the line-branching-structure, and the line-reservoir-branching-structure.