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Seventh Graders' Proof Schemes and Their Characteristics in Geometric Tasks  

Byun, Gyu Mi (Graduate School, Konkuk University)
Chang, Kyung Yoon (Konkuk University)
Publication Information
Journal of Educational Research in Mathematics / v.27, no.2, 2017 , pp. 191-205 More about this Journal
Abstract
The purpose of this study is to investigate the types and characteristics of the Seventh Graders' proofs. Harel, & Sowder's proof schemes were used to analyze the subjects' responses. As a result of the study, there was a difference in the type of proof schemes used by the students depending on the academic achievement level. While the proportion of students using a transformative proof scheme decreased from the top to the bottom, the proportion of students using inductive (measure) proof scheme increased. In addition, features of each type of proof schemes were shown, such as using informal codes in the proof process, and dividing a given picture into a specific ratio in the problem. Based on this, we extracted four meaningful conclusions and discussed implications for proof teaching and learning.
Keywords
proof; proof scheme; proof teaching and learning;
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