• 제목/요약/키워드: the anthropological theory of the didactics

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ATD에 근거한 유리수의 대수학적 completion에 관한 연구 (The algebraic completion of the rational numbers based on ATD)

  • 김부윤;정경미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권2호
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    • pp.135-148
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    • 2011
  • We can say that the history of mathematics is the history on the development of the number system. The number starts from Natural number and is constructed to Integer number and Rational number. The Rational number is not the complete number analytically so that Real number is completed by the idea of the nested interval method. Real number is completed analytically, however, is not by algebra, so the algebraically completed type of the rational number, through the way that similar to the process of completing real number, is Complex number. The purpose of this study is to show the most appropriate way for the development of the human being thinking about the teaching and leaning of Complex number. To do this, We have to consider the proof of the existence of Complex number, the background of the introduction of Complex number and the background knowledge that the teachers to teach Complex number should have. Also, this study analyzes the knowledge to be taught of Complex number based on the anthropological theory of didactics and finally presents the teaching method of Complex number based on this theory.