- 창의력 신장을 위한 변증법적 방법의 수학학습지도에 관한 연구
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- Journal for History of Mathematics, volume 15, issue 1, 2002, Pages 15~42
Abstract
Dialectical Methods is the form in which thinking and being developed, according to Hegel. Every given definition removes itself necessarily and goes over to its contrary definition. The mutual struggle brings us to a new definition, which is richer and more concrete insofar as it embraces the original definition, but on a higher level. The purpose of this study is to enhancing student's creative thinking in mathematics by dialectical methods. The conclusions drawn from the results obtained in this study are as follows, First the introduction of dialectical methods to mathematics education had been made by Lakatos, Brousseau, Freudenthal. Second, the dialectical teaching methods in mathematics are developed from dialectical methods: the step of affirmation - the step of negation - the step of sublation. Third, the students who team mathematics by dialectical teaching methods are creative in its implications.