• 제목/요약/키워드: theoretical mathematics

검색결과 545건 처리시간 0.022초

수학교육의 통합적 접근에 대한 탐색적 논의 (Exploratory discussions on an integrated approach to mathematics education)

  • 유충현
    • East Asian mathematical journal
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    • 제32권2호
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    • pp.291-300
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    • 2016
  • The integration of mathematics education is required Fundamentally discussion about the nature and purpose of mathematics education. After the theoretical discussion of that, Practical approach of that can be correctly realized. However, It is the impression that theoretical discussions and practical action about the current discourse about integration in mathematics education are the wrong order. To understand the practical action for the integrated approach in mathematics education, theoretical discussion of the integrated approach of mathematical education is properly required.

Integrating Digital Technology into Elementary Mathematics: Three Theoretical Perspectives

  • Yeo, Sheunghyun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제23권3호
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    • pp.165-179
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    • 2020
  • In this article, the author's intent is to begin a conversation centered on the question: How was the integration of digital technology into elementary mathematics classrooms framed? In the first part of the discussion, the author provides a historical perspective of the development of theoretical perspectives of the integration of digital technology in learning mathematics. Then, the author describes three theoretical perspectives of the role of digital technology in mathematics education: microworlds, instrumental genesis, and semiotic mediation. Last, based on three different theoretical perspectives, the author concludes the article by asking the reader to think differently.

컴퓨터 수학교육론의 인식론적, 심리학적 기초 (Epistemoligical and psychological foundation for computer mathematics education)

  • 류희찬;조완영
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.621-634
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    • 1998
  • Emthusiasm about the introduction of computers into mathematics education is widespred. But, the perspectives about the relationship between mathematics education and computer are diverse. The purpose of this study is to examine theoretical background for using computers in mathematics education. In spite of the pedagogical possibilities of computers. only a small minority of mathematics teachers are using computers in mathematics classroom. It is natural to seek this obstacles within theoretical background of the teachers who manage computers, In this study, We discuss the problems in the two sides. First, due to increased computer activity, relationship of mathematics in school with mathematics in society is changing. It is tension between academic mathematics and practical mathematics. School mathematics have to be changed toward stressing practical mathematics. Second problem is the dialectical relationship between the individual and the collective. While maintaining a respect for the individuality of student contributions. We take into account the social dimension of mathematical meaning-making. We discussed theoretical clarification of work collaborative learning. We propose the case study for the roles of computer in collaborative mathematics learning.

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수학적 개념의 과학적 성격과 교육과정 구성과의 관련성 연구 (A Study of the Scientific Characteristic of Mathematical Concepts and Curriculum Design)

  • 고정화
    • 대한수학교육학회지:수학교육학연구
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    • 제12권2호
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    • pp.213-228
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    • 2002
  • We know that curriculum is, first of all, related to teaching materials, namely, contents. Therefore, when we think of mathematics curriculum, we must take account of characteristic of mathematics. Vygotsky has studied the development of scientific concepts and everyday concepts. According to Vygotsky, scientific concepts grow down through spontaneous concepts; spontaneous concepts grow upward through scientific concepts. And mathematics is a representative of subjects dealing with scientific or theoretical concept. Therefore, his study provides scientific basis for mathematics curriculum design. In this context, Davydov notes that everyday concepts are developed through empirical abstraction, while scientific concepts require a theoretical abstraction. And Davydov constructed the curriculum materials for the teaching of number concept. Davydov's curriculum is an example of reflecting Vygotsky' theoretical view and his view about the types of abstraction. In particular, it represents mathematical characteristic of a 'science' by introducing number concept through quantitative relationship and use of signs. In conclusion, stance mathematical concepts have scientific characteristic, mathematics curriculum reflects this characteristic.

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SOME REMARKS ON COAASSOCIATED PRIMES

  • Divaani-Aazar, K.;Tousi, M.
    • 대한수학회지
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    • 제36권5호
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    • pp.847-853
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    • 1999
  • The purpose of this paper is to develop the theory of coassociated primes and to investigate Melkersson's question [8].

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프랑스의 수학교육 연구에 대한 고찰 (A Study on the Research of Mathematics Education in France)

  • 장혜원
    • 대한수학교육학회지:수학교육학연구
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    • 제10권2호
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    • pp.183-197
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    • 2000
  • The purpose of this paper is to present the history of the research in mathematics education, its characteristic and some theories as its results in France. The french research in mathematics education really began with the inauguration of IREM in the institutional aspect, referring to Bachelard in the epistemological aspect and to Piaget in the psychological aspect. It aimed at appreciating the mathematics education as a independent science and focused on the theoretical research through its own object(didactic system) and its own method(didactic engineering). Therefore, it can be characterized by the dense and elaborate theoretical arguments. Consequently, it is known that four major theories in french mathematics education were developed: the theory of didactic situations by trousseau, the theory of didactic transposition by Chevallard, the theory of conceptual fields by Vergnaud, the theory of tool-object dialectic by Douady. Among them, this paper is focused on the situation of institutionalization and the structurization of milieu in the theory of Brousseau and the motive of didactic transposition and the didactic time in the theory of Chevallard. In that the french research in mathematics education has been founded on its own theoretical models, it may contribute to us who envy the basic theories of mathematics education.

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수학 및 과학 간 지적 자원의 사용: 이론적 모형에 대한 실증 연구 (A theoretical model for the utilization of intellectual resources between science and mathematics: An empirical study)

  • 최경미;서경운;;황지현
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권4호
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    • pp.405-420
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    • 2020
  • 학생들이 수학과 과학을 배울 때 개발 및 사용하는 지적 자원의 이론적 모형을 구성하였다. 9,300명의 미국 4학년 학생들의 수학 과학 성취도 평가의 응답을 통계적으로 분석하여 이 이론적 모델을 검증하였다. 그 결과는 이론적 모형이 타당함을 보여주며, 4학년 학생들의 과학 학습에서 인식적 실천은 수학 학습에서 인식적 실천의 발달에 영향을 준다.

수학 창의적 산출물 의미 척도의 개선 및 창의적 산출물의 구조 탐색 (A Study on Improvement of MCPSS and Searching Structure of the Concept of Creative Products)

  • 홍주연;김민수;한인기
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권4호
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    • pp.317-334
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    • 2015
  • In this article we study structure of the concept of creative products in mathematics using mathematical creative products. We develop MCPSS1 that improve reliability and validity of MCPSS(Creative Product Semantic Scale in Mathematics). And we search structure of the concept of creative products in mathematics using mathematical creative products focused on theoretical investigation. So we suggest structure model of the concept of creative products focused on theoretical investigation. We compare the result with preceding research using various mathematical creative products, find some difference between relations of sub-factors of structure of the concept of creative products. Our result will provide meaningful data to mathematics education researchers that want to know structure of the concept of creative products in mathematics.