• Title/Summary/Keyword: 수학교육사

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Comparison and Analysis among Mathematical Modeling, Mathematization, and Problem Solving (수학적 모델링과 수학화 및 문제해결 비교 분석)

  • Kim, In-Kyung
    • Journal for History of Mathematics
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    • v.25 no.2
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    • pp.71-95
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    • 2012
  • Nowadays, the big issues on mathematics education are mathematical modeling, mathematization, and problem solving. So, this paper looks about these issues. First, after 1990's, the researchers interested in mathematical model and mathematical modeling. So, this paper looks about mathematical model and mathematical modeling. Second, it looks about Freudenthal' mathematization after 1970's. And then, it compared with mathematical modeling. Also, it looks about that problem solving focused on mathematics education since 1980's. And it compared with mathematical modeling.

A Study on Application of Mathematics History of Chosun Dynasty to a Quadratic Equation of Middle School (중학교 이차방정식 단원에서 조선시대(朝鮮時代) 수학사(數學史)의 활용에 대한 연구)

  • Shim, Sang-Kil
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.117-130
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    • 2009
  • This study shows how to use effectively construction and solution of the quadratic equation developed by mathematicians such as Gyung Sun-jing, Hong Jung-ha, Hong Dae-yong, Lee Sang-hyuk, and Nam Byung-gil through mathematics history of Chosun Dynasty. Mathematics history of Chosun Dynasty can be used in order to enhance comprehension and increase interest in an introduction to the quadratic equation. It also can be used to help motivate middle school students to solve the quadratic equation with much interest during the development phase, and develope conceptual thinking and reflective thinking in the practical phase.

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A Comparison of Mathematical Contents and Processes in Early Childhood Education Curriculum between Korea and U.S. (한국과 미국의 유치원 수학교육의 내용과 과정에 관한 비교)

  • Kye, Young-Hee
    • Journal for History of Mathematics
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    • v.23 no.2
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    • pp.123-140
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    • 2010
  • In general, early childhood mathematics education is conducted and operated in early childhood education curriculum. Moreover, Korean early childhood education is approached and conducted by an U.S. NCTM. So, it is meaningful to compare American and Korean early childhood mathematics education curriculum. Therefore, I has studied how those points of views of the mathematics education are instituted in the curriculums respectively. The main purpose of this study is to investigate principles of NCTM(National Council of Teacher of Mathematics): content standards and process standards. I hope the finding of this study would reflect to the 7th Korean early childhood mathematics education including learning and curriculum constitution.

On application of Vygotsky's theory in math education for gifted students (비고츠키의 학습-발달 이론과 수학 영재 교육)

  • Hong, Jin-Kon;Kang, Eun-Joo
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.181-200
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    • 2011
  • The focus of gifted education program for math should not only be on how to select gifted students but also on how to magnify students' potential ability. This thesis supports Vygotsky's view, which provides an insight into gifted education field as an 'acquired giftedness' theory. The issues in this thesis suggest proper classroom models for current gifted education program together with moderate classroom atmosphere and optimum role of teachers.

Felix Christian Klein (펠릭스 클라인의 수학과 교육 개혁)

  • Kim Sung Sook;Kim Ju Young
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.77-86
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    • 2004
  • Felix Klein profoundly influenced mathematical developments throughout the world by showing a new direction for modem geometry. He also influenced the lives of excellent scientists like Einstein by reforming mathematical education. The first Felix Klein medal of the Internal Commission on Mathematical Instruction was awarded at ICME-10 in July of 2004. In this article, we discuss Klein's Erlangen Program and investigate his influence on modem mathematics and mathematical education with this medal as momentum.

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Multicultural education shown in elementary school mathematics textbook based on 2015 revised curriculum (2015 개정 교육과정을 반영한 초등학교 1, 2학년 수학교과서에 나타난 다문화 교육)

  • Cho, SooYun
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.19-37
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    • 2018
  • The purpose of this study was to analyze the multicultural mathematics education factor shown in mathematics textbook. For this purpose, 2015 revised curriculum, mathematics textbook and teacher's guide book of first and second grade were analyzed using framework for multicultural mathematics education factor. The results of this study revealed that the general guideline of the national curriculum included 'culture identity', 'diversity of knowledge' and 'social problem solving' but the curriculum of mathematics excluded 'culture identity'. Nevertheless, mathematics textbook showed various multicultural mathematics education factor except 'social problem solving'. But there are several kinds of problem. Fist, application level of multicultural mathematics education factor was mostly low. Second, history of mathematics and culture aspects were Europocentric. Thirds, characters in mathematics text book were excessively standard. there weren't other ethnicity, the disabled, multicultural students. On the basis of these results, this paper includes several implications for the future multicultural mathematics education in elementary school.

Construction of function graphs through turtle motion (거북 행동을 통한 함수 그래프 구성)

  • Cho, Han-Hyuk;Song, Min-Ho
    • Communications of Mathematical Education
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    • v.22 no.2
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    • pp.125-136
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    • 2008
  • There are different perspectives on a function graph. For instance, a parabola is defined by movement of a ball in physics and by quadratic function in mathematics. This study deals with the turtle motion, which is local and intrinsic, and the construction of function graphs with mathematical experiments in a microworld. This paper concerns with a function graph which is in the curriculum or in the history of mathematics. In view of pre-calculus, we introduce activities of mathematization about formalizing of length and area of function graphs without knowledge of calculus.

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A study of the mathematics education of Herbart (Herbart의 수학교육에 대한 고찰)

  • Kang, Hyun-Young
    • Journal for History of Mathematics
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    • v.25 no.2
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    • pp.35-55
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    • 2012
  • This article discusses and reviews the mathematics education of Herbart who had clarified the nature of the scientific education and established the systematic study of pedagogy for the first time. We are mainly investigated the "Pestalozzi's Idea of an ABC of Sense-Perception Investigated and Scientifically Carried out as a Cycle of Preliminary Exercise in the Application of Forms" that proposed intuitive geometric education that embodied his theory on education. Based on this, We discusses the educational implications-the purpose and methods of mathematics education and so on.