An Analysis of Teacher`s Knowledge about Reductio Ad Absurdum -Focused on `Subject Matter Knowledge` and `Knowledge of Students` Understanding`-

- Journal title : The Mathematical Education
- Volume 55, Issue 1, 2016, pp.91-106
- Publisher : Korea Society of Mathematical Education
- DOI : 10.7468/mathedu.2016.55.1.91

Title & Authors

An Analysis of Teacher`s Knowledge about Reductio Ad Absurdum -Focused on `Subject Matter Knowledge` and `Knowledge of Students` Understanding`-

Hwang, Jinyeon; Shin, Bomi;

Hwang, Jinyeon; Shin, Bomi;

Abstract

The aim of this study was to analyze characteristics of teachers` knowledge about reductio ad absurdum. In order to achieve the aim, this study conducted didactical analysis about reductio ad absurdum through examining previous researches and developed a questionnaire with reference to the results of the analysis. The questionnaire was given to 34 high school teachers and qualitative methods were used to analyze the data obtained from the written responses by the participants. This study also elaborated the framework descriptors for interpreting the teachers` responses in the light of the didactical analysis and the data was elucidated in terms of this framework. The specific features of teachers` knowledge about reductio ad absurdum were categorized into five types as a result. This study raised several implications for teachers` professional development for effective mathematics instruction related to reductio ad absurdum.

Keywords

reductio ad absurdum;teachers` knowledge;proposition;

Language

Korean

Cited by

1.

교과서의 귀류법 도입과 활용에 대한 고찰 및 개선 방안,이기돈;홍갑주;

대한수학교육학회지:학교수학, 2016. vol.18. 4, pp.839-856

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