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Types of Global Argumentation Structures in Conjecture-Generation Activities Regarding Geometry
International Journal of Science and Mathematics Education ( IF 1.9 ) Pub Date : 2021-03-23 , DOI: 10.1007/s10763-021-10172-3
Esra DEMİRAY , Mine IŞIKSAL-BOSTAN , Elif SAYGI

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.



中文翻译:

关于几何的猜想生成活动中的全局论证结构的类型

Toulmin的论证模型是描述论证的一个步骤的有效工具。但是,除了模型之外,还需要考虑更多的因素来描绘一个全面的论证过程。这项研究的目的是调查潜在的中学数学教师从事与几何有关的猜想生成活动时出现的全局论证结构的类型。参加者是土耳其安卡拉国立大学的初中中学数学老师。通过两组的猜想生成活动出现的八个全局论证结构被分为单一结构和混合结构。根据发现,储层结构,漏斗结构和分支结构三种类型的单体结构,在四个可能的案例中被发现。在单体结构的11种可能的组合中,观察到了3种混合结构,即储层漏斗结构,线分支结构和线储层分支结构。

更新日期:2021-03-24
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