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http://dx.doi.org/10.7468/mathedu.2014.53.1.41

An investigation in learnability of counter-examples in secondary school mathematics textbooks  

Oh, Hye Mi (BoPyung High School)
Kwon, Oh Nam (Seoul National University)
Publication Information
The Mathematical Education / v.53, no.1, 2014 , pp. 41-55 More about this Journal
Abstract
In recent years, there has been increasing interest in the pedagogical importance of counter-examples that contradict statements about mathematics education research and the curriculum revision process for high school mathematics courses. Using a literature research method, this study analyzed views about counter-examples according to a method of approach to statements and the classification of counter-examples and their criteria. The study also described the learnability of the content of counter-examples presented in Korean secondary school mathematics textbooks. The results showed that generating many counter-examples enables learners to understand mathematical concepts exactly, construct links between mathematical contents, and have flexible thoughts about mathematical objects. Considering the learnability of counter-examples, the contents of counter-examples in school mathematics textbooks are needed for mathematics teachers and students to generate numerous counter-examples and verify the justification of generating counter-examples in various manners.
Keywords
counter-examples; statements; secondary school mathematics textbooks;
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Times Cited By KSCI : 1  (Citation Analysis)
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