Authors: Kyungmee Park
Publish Date: 2012/04/28
Volume: 44, Issue: 2, Pages: 121-135
Abstract
This study identifies the characteristics of mathematics classrooms in Korea First conventional Korean mathematics lessons are analyzed from the perspective of “theory of variation” Second an innovative lesson for gifted children is reported in detail and analyzed from the perspective of “Lakatos’ proofs and refutations” Third the classroom characteristics identified in both the conventional lessons and the innovative lesson are interpreted in terms of the underlying cultural values that they share with other East Asian countries The study concludes that although the two faces of Korean mathematics lessons look different they may flow from the same “heart”—that of the common Confucian heritage culture culture and in particular East Asian pragmatismProof Draw a circumcircle of ABC drop a perpendicular bisector of BC and O is an intersection of a perpendicular bisector and a circle In the process of a proof in Appendix 1 BO = CO and corresponding inscribed angles are the same ∠BAO = ∠CAO Thus AO is an angle bisector of A In other words an intersection of an angle bisector and a perpendicular bisector of the opposite side is located on the circumcircle
Keywords: