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http://dx.doi.org/10.14477/jhm.2013.26.2_3.131

A Study on Learning Environments for Euler's formula with activities  

Song, Min Ho (Graduate School of Education, Sookmyung Women's University)
Publication Information
Journal for History of Mathematics / v.26, no.2_3, 2013 , pp. 131-148 More about this Journal
Abstract
Euler's formula provides the topological characteristics of geometrical objects including polyhedra, and so an important mathematical concept. Descriptions on Euler's formula had been in the textbooks according to the 3rd through 7th National Mathematics Curriculum. However, they are gone after that. In this study, we focus on Euler characteristic and Euler's formula as an educational material for educations for the gifted or after-school educations. We first look at the mathematical history and the applications of Euler's formula and national curriculums to search for its mathematical and educational meaning. We further make a suggestion for a learning environment which provides a better education relying on search activities, not just depending on memorization, illuminated from the education of Euler's formula.
Keywords
Euler polyhedron formula; Euler Characteristic; informal education; technology;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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