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효과적인 수학 교수를 위한 교사 지식 기반 영역과 수학적 지식 구조 (Teachers' Knowledge Base and The Structure of Mathematical Knowledge for Effective Mathematics Teaching)

  • 김영옥
    • 한국학교수학회논문집
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    • 제11권4호
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    • pp.595-608
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    • 2008
  • 본 연구는 효과적인 수한 괴수(teaching)를 위해 괴사들이 갖추어야 할 지식 기반영역들을 소개하고, 지식 기반 영역 중에서도 가장 핵심 영역인 수학적 지식에 대한 다양한 정의와 구조에 관한 모델을 소개하고자 한다. 이를 통해, 본 연구는 교사지식 영역에 대한 전반적인 이해를 제공 할 뿐만 아니라, 수학적 지식에 대한 구체적이고 이론적인 틀을 제공하고자 한다.

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Design and Implementation of Mathematics Textbooks in Support of Effective Teaching for Secondary Schools: A Chinese Case

  • PENG, Aihui;SONG, Naiqing
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제19권4호
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    • pp.247-265
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    • 2015
  • Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.

활용도 높은 수학교과서의 모형 및 예시 단원 개발 연구 (Developing a Model and Exemplary Unit of Highly Utilizable Mathematics Textbook)

  • 도종훈
    • 한국학교수학회논문집
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    • 제19권3호
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    • pp.239-260
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    • 2016
  • 학교 수업에서 교과서는 학생과 교사 사이의 상호작용을 위한 가장 중요한 매개물 중 하나이다. 그러나 상당수 학생들은 교과서를 외면하고 학원교재나 참고서, 문제집 등에 의존하고 있는 실정이다. 교사뿐 아니라 학생 활용도가 실제로 높은 수학교과서에 대한 논의는 내실 있는 수학교육 실현의 측면에서 뿐 아니라 우리나라 공교육 정상화의 측면에서도 필요하다. 본고에서는 수학교과서가 갖추어야 할 요건에 대한 기존의 논의 분석과 현행 수학교과서의 특징 및 장단점에 대한 분석을 통해 활용도가 높은 수학교과서는 어떠해야 할지 논의하고, 활용도 높은 수학교과서에 대한 한 가지 모형을 예시 단원과 함께 제안한다.

The Romanian Mathematics Education, 2003 - 20041

  • Vasile, Postolica
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권4호
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    • pp.227-260
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    • 2004
  • This article represents a survey on the Romanian mathematics education. we emphasize not only some of recent, specific and significant Romanian methods concerning the teaching and learning of mathematics, starting from the pre-school and primary level to the university mathematics education, but also the role of the national and international mathematical competitions, the education of mathematics teacher, the formation of the researchers in mathematics, their contributions and perspectives, the mathematics education in society and culture, the technology in mathematics education, links between research and practice, topical developments and for the future and other related topics.

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A STUDY ON THE RELATION BETWEEN MATHEMATICS AND FOREIGN LANGUAGE

  • Oh, Hyeyoung
    • Korean Journal of Mathematics
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    • 제18권4호
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    • pp.409-424
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    • 2010
  • We observed the symptoms that occur to students who dislike mathematics when they study mathematics and the data that mathematics is related to foreign language. This study investigated the relation between mathematics and foreign language. Continuous immersion aids not only in acquiring language but also in learning mathematics. For continuous immersion, it is essential to organize small class. We organized small class and compared large class with small class about how the relation between mathematics and language appears in achievement, rate of presence, rate of submission of report, and attitude and enthusiasm. Based on the result, we try to find out the way to increase understanding mathematics and level up the achievements.

수학사 기반 학습자 중심 수학동아리 효과 분석 연구 (A Study on Effect of Learner Centered Mathematical Club Based on Mathematics History)

  • 부덕훈
    • 한국수학사학회지
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    • 제28권1호
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    • pp.45-62
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    • 2015
  • This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

서유럽 중세 수학의 기원: 백과사전적인 저술들을 중심으로 (The Origin of Mathematics Education in Medieval Europe with the Focus of Encyclopedic Works)

  • 조수남
    • 한국수학사학회지
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    • 제33권2호
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    • pp.115-132
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    • 2020
  • Social awareness of mathematics and academic attitudes toward the value of mathematics education has kept changing according to the intellectual, political and religious contexts. In this article, we examine how mathematics was defined and recognized in liberal arts education of the Roman Empire and early medieval Western Europe. This study analyzes how mathematics was described in encyclopedic works written in the Roman era after the mid-second century BC and in the Western European monasteries and cathedral schools after the fifth century. Ancient Greek mathematics took a clear place in liberal arts education through encyclopedia writings and prepared a mathematics curriculum for medieval universities. I hope this study will contribute to understanding the origin and context of the mathematics curriculum of medieval universities.

수학교육 연구 공동체를 통한 수학 교사의 전문성 신장 (Professional Development for Teachers of Mathematics through Community of Mathematics Teachers)

  • 박성선
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제8권1호
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    • pp.13-22
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    • 2004
  • There were a lot of challenges to reform mathematics education. These challenges may include reforms of teaching and learning methods, development of mathematics curriculum and textbooks, innovative resources for teaching mathematics. Although there is considerable consensus that meeting these challenges will require that mathematics teachers have deep insights about mathematics, about students as learners of mathematics, and about teaching method, the teachers themselves may have little knowledge of them. The most of the professional development includes elective participation in reeducation course, workshop, and special lectures which designed to transmit a specific set of ideas, techniques, or materials to teachers. But such approaches treat mathematics teaching as routine and technical, and also provide limited opportunities for meaningful interactions within the teaching community. So, this paper suggests that what is needed to develop professional teachers of mathematics is community where teachers work with colleagues rather than working alone.

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Mathematics Education as a Humanities Form of Education-A Brief Introduction to the History of the Philosophy of Mathematics Education

  • Han, Dae-Hee
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제5권2호
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    • pp.127-132
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    • 2001
  • Mathematics holds a key position among many subjects of school education. Besides having an instrumental value, mathematics for the general public has been underestimated. Thus, in this paper we examine how western educational theorists have emphasized the value of mathematics as humanities form of education. First of all, we discuss Platonism as a philosophical basis of the ancient Greek mathematics education. Next, we examine the thoughts of Froebel, who provided the theoretical basis for the public education since 19th century, and discuss the value of mathematics teaching in their humanistic educational thoughts. Also, we examine the humanistic value of mathematics education in Dewey\\`s educational philosophy, which criticized the traditional western ethics and epistemology, and established instrumentalism. In this paper, we recognize the humanistic values of mathematics education through the historical examination of the philosophies of mathematics education.

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20세기 말 개정된 한국과 일본의 수학과 교육과정 비교(1) - 초등학교 수학과 교육과정을 중심으로 - (A comparative study on the mathematics curriculum of Korea and Japan in the last of 20 century (1) - focusing on 7he elementary school Mathematics curriculum mainly -)

  • 임문규
    • 대한수학교육학회지:수학교육학연구
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    • 제11권2호
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    • pp.257-271
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    • 2001
  • This study investigated the new revised Mathematics curriculums of elementary schools in Korea and Japan at the end of the 20th century. The comparison was made especially with revising direction, purposes, and contents of elementary school mathematics curriculum in both countries. I began by comparing and confirming the ratio of instruction hours of Mathematics to the total instruction hours of all the subjects at as whole. This comparison was done of the elementary and middle school mathematics. The next part of the study was to compare in detail the purposes of revised mathematics in elementary and middle schools of both countries. Particular attentions was paid to the important revised points of Japanese elementary school Mathematics. Finally, I concluded by comparing the contents of elementary school Mathematics of the two countries. New mathematic text books in both countries having been published by revised curriculum, puts the future task in comparing, in detail, the concrete contents of each textbook.

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