• 제목/요약/키워드: teaching-learning in mathematics

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파이썬을 활용한 중학교 1학년 소인수분해의 수학과 코딩 융합 교수·학습 자료 개발 연구 (A Study on Development of Integrating Mathematics and Coding Teaching & Learning Materials Using Python for Prime Factorization in 7th Grade)

  • 김예미;고호경;허난
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제34권4호
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    • pp.563-585
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    • 2020
  • 본 연구는 교육용 프로그래밍으로 활용할 수 있는 파이썬을 활용한 수학과 코딩의 융합 수업 교수·학습 자료를 개발하기 위해 중학교 1학년 소인수분해 단원을 중심으로 수업지도안과 학생 활동지를 개발하는데 목표를 두고 있다. 본 연구에서는 파이선 프로그램을 사용해 본 경험이 없는 중학교 학생들에게 적용하여 수학과 코딩의 융합 수업 방법 및 내용의 적절성을 확인하고자 하였다. 이러한 과정에서 중학교 1학년 2명의 학생들에게 적용한 결과의 분석을 통해 교수·학습 자료를 수정·보완 하여 최종 자료를 개발하였다. 본 연구에서 개발한 교수·학습 자료는 코딩을 활용하여 소인수분해를 학습하는 융합수업이 이루어질 수 있도록 수업 방법 및 수업 내용을 구성하였으며 이를 통해 수학과 코딩에 대한 융합 수업이 현장에서 시도될 수 있는 가능성을 보여주었다.

중등수학 탐구를 위한 예비수학교사의 수학프로그램(GrafEq.) 활용 사례 (The Case Study of Using GrafEq, by Pre-service Mathematics Teachers for Exploring Secondary School Mathematics)

  • 김남희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제43권4호
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    • pp.405-417
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    • 2004
  • This study is on the use of mathematics program for School Mathematics Education. According to the ‘technology principle’ by NCTM and teaching-learning methods by the 7th curriculum, we developed mathematics learning activities with mathematics program. This activity is to construct designs with graphs by using mathematics program(GrafEq.). In this study, we practiced these learning activities with pre-service mathematics teachers. The mathematics educational effects of these learning activities in this study are analyzed as follows; active & spontaneous search for mathematical knowledge, the experience of problem solving, affirmative view-point of mathematics, understanding of practical use of mathematics, acquisition an interest & motivation of learning mathematics etc. When students learn graphs of function, the concept of inequality in secondary school mathematics class., mathematics teachers can make a good use of constructing designs by mathematics program(GrafEq.). This will help to practice of teaching-learning methods by the 7th curriculum.

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컴퓨터 활용과 수학에 대한 연구 (A study on computer usage and mathematics)

  • 오혜영
    • East Asian mathematical journal
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    • 제38권2호
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    • pp.143-164
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    • 2022
  • Computer technology in mathematics teaching-learning is not for teaching computer but for improving mathematics teaching-learning with computer. It is shown the use of computer technology comparing with traditional approach provides students more opportunities in order to approach abstract structure. Computer activity provides not only understanding concepts of analysis and opportunity to investigate theory but also effective background in teaching analysis. We analyze students' computer usage level on analysis education by using computer usage level according to role of computer technology. We try to get an useful educational implication on analysis education applying MATLAB through qualitative research.

모델링 활동을 통한 메타수준 학습에 대한 연구 (A Study on Meta-Level Learning through Modeling Activities)

  • 박진형;이경화
    • 대한수학교육학회지:학교수학
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    • 제16권3호
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    • pp.409-444
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    • 2014
  • 수학교육 연구 공동체에서는 모델링 활동을 통한 수학 학습에 대한 논의들이 지속되어 왔다. 모델링 활동은 대안적인 수학 교수 학습 방법으로 논의되어 왔으나, 모델링 활동을 통하여 이루어지는 수학 학습은 어떠한 성격을 갖는지, 그리고 이는 어떠한 과제 설계와 수업 실행을 통하여 달성할 수 있는지에 대한 합의점은 도출되지 못한 실정이다. 모델링 활동을 통한 수학 학습을 시도해 온 선행 연구들의 논의로부터, 본 연구에서는 모델링 활동이 메타수준의 수학적 담론 생성과 메타규칙의 변화를 포함하는 메타수준 학습을 촉진할 수 있을 것으로 판단하였다. 이에 본 연구에서는 메타수준 학습을 촉진할 수 있는 모델링 과제 설계와 수업 실행 방안을 도출하고, 이를 실행하여 수학 교수 학습에서 모델링 활동의 잠재력을 확인하는 데 목적을 둔다.

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WBI 개발 적용을 통한 교수-학습이 수학과 학업성취 신장에 미치는 영향 -중학교 1학년 함수단원을 중심으로- (The Effect of Teaching-Learning through Development and Application of WBI on the Learning Achievement in Mathematics -Focusing on the Unit 'Function' in the 1st grade of Middle School-)

  • 김웅환;오정학
    • 한국학교수학회논문집
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    • 제4권2호
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    • pp.103-113
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    • 2001
  • The teaching-learning method utilizing Web makes it possible for the students take the initiative in any field and offers the teaching strategy, methodology and teaching-learning materials suitable for students' ability and standard. The purpose of this study is to investigate the characteristics of WBI in mathematics class for the effective teaching and learning focusing on the unit 'Function' in the 1st grade of middle school and verify its effectiveness by developing the WBI programs which can progress learning achievement and applying them to math class. Two hypotheses were established for this study. Hypothesis 1 : There will be meaningful difference between the group that studies under WBI and the one that doesn't, Hypothesis 2 : There will be meaningful difference in the attitude and interest toward learning between the group that studies under WBI and the one that doesn't. In order to find out the result, I have made a comparative analysis through t-verification on the object of two classes of the 1st grade in P middle school that I have been working for. The result shows that the class utilizing WBI is more effective than the traditional lecture-oriented class since there is a meaningful difference between the control group and experimental one and also that the class based on WEB has a great influence on students' interest and positive attitude toward math class.

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A Study on Jigsaw Model Application in Teaching and Learning Mathematics

  • YOO, Sang Eun;SON, Hong Chan
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제19권4호
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    • pp.195-209
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    • 2015
  • The current study investigated meaning of Jigsaw model application in teaching and learning mathematics based on the literature research and analysis of Jigsaw models. Through related literature, properties of the tasks of the expert sheets in mathematics are examined. Then the advantages of the application of Jigsaw in mathematics are discussed in terms of the realizing mathematical connections and promoting positive affective outcomes of Korean students in mathematics.

비고츠키의 근접발달영역을 고려한 수학과 교수·학습 프로그램연구 (A Study on Mathematics Teaching and Learning Program based on Zone of Proximal Development of Vygotsky)

  • 강정미;최창우
    • East Asian mathematical journal
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    • 제34권4호
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    • pp.339-358
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    • 2018
  • There has been researches for effective education. Among them, many researchers are striving to apply Zone of Proximal Development of Vygotsky which is emphasizing the social interaction in the field of teaching and learning. Researchers usually research based on individual or small group of students. However the math class in school relies on system that one teacher teach many students in reality. So this research will look for the effect that the teaching and learning program based on Zone of Proximal Development of Vygotsky by designing the teaching and learning program which is based on scaffolding structuring to overcome the zone of proximal development in many-students class. The results of this research are as follows: First, the studying program considered the theory of Vygotsky has a positive effect on improving the mathematical achievement of elementary student. Second, the studying program considered the theory of Vygotsky has a positive effect on improving the student's studying attitude upon mathematics.

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.

학습 단계별 수학사 활용 학습을 통한 수학 수업 개선 (A Study on the Improvement of Teaching Mathematics via the Use of the Mathematical History based on the Learning Stages)

  • 이정재;윤상현;추신해;심수정
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제10권1호
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    • pp.57-70
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    • 2007
  • 수학사 관련 교수 학습 자료 개발에만 치중하였고 개발한 교수 학습 자료는 학습내용에 알맞은 수학사나 수학자의 일화로 실제 수업시간 중 흥미유발 자료로 사용하는데 그쳤다. 본 연구에서는 수학사를 보다 적극적으로 활용하기 위해서 문제 파악, 문제추구 및 해결, 적용 발전, 과제 파악 등의 각 학습 단계에서 활용할 수 있는 수학사 자료를 개발하여 실제 수업에 적용해 봄으로써 수학 사업을 개선하는데 도움을 주고자 하였다.

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