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, cilt.20, sa.4, ss.839-860, 2022 (SSCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10763-021-10172-3
  • Dergi Adı: INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus, IBZ Online, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center)
  • Sayfa Sayıları: ss.839-860
  • Anahtar Kelimeler: Argumentation, Conjecture-generation activity, Prospective middle school mathematics teachers, Types of global argumentation structures
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.