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http://dx.doi.org/10.7468/jksmee.2016.30.4.469

Development of Learning Materials on Constructibility of Roots of Cubic Polynomials  

Shin, Hyunyong (Department of Mathematics Education, Korea National University of Education)
Han, Inki (Department of Mathematics Education, Gyeongsang National University)
Publication Information
Communications of Mathematical Education / v.30, no.4, 2016 , pp. 469-497 More about this Journal
Abstract
In this research, we develop a systematic learning the materials on constructibility of cubic roots. We propose two sets of materials: one is based on concepts of field, vector space, minimal polynomial in abstract algebra, another based on properties of cubic roots in elementary algebra. We assess the validity, applicability, defects and merits of developed materials through prospective teachers, in-service teachers, and professionals. It could be expected that materials be used for advanced secondary students, mathematics majoring college students and mathematics teachers. Furthermore, we may expect the materials be useful for understanding and solving the (un)constructibility problems.
Keywords
Root of cubic polynomial; Constructibility problem; Unconstructibility problem;
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