• 제목/요약/키워드: secondary mathematics

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Designing Rehearsals for Secondary Preservice Teachers in Mathematics Methods Course

  • Kim, Yeon
    • East Asian mathematical journal
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    • 제34권4호
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    • pp.463-486
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    • 2018
  • This study identifies elements involved in designing rehearsals for improving preservice teachers' capacity to teach mathematics. Observation of a secondary mathematics methods course and regular interviews with the teacher educator following each class were used in this research. After characterizing what is considered and enacted in rehearsals as a way to help preservice teachers practice the work of teaching mathematics, I illustrate them with examples from the observations and interviews. I then discuss the challenge of dual contexts-the teacher education classroom and the secondary mathematics classroom-and dual perspectives-the mathematical and pedagogical-in designing and enacting rehearsals. I conclude with implications for mathematics teacher education.

초등수학교육과 중등수학교육의 비교 (A Comparison of Elementary and Secondary Mathematics Education)

  • 이경화
    • 대한수학교육학회지:수학교육학연구
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    • 제11권2호
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    • pp.321-340
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    • 2001
  • The researcher compared the curricula, the textbooks, the methods of didactic transposition, teacher practices of elementary and secondary mathematics education. The study reviewed several mathematics education theories in the aspect of the differences between the two levels. Findings from this study show a little difference between elementary and secondary mathematics education. There are special difficulties in didactic transposition in elementary mathematics education since it is so far from scientific mathematics. From this study we can conclude that further research needs to be done in the area of development of perspectives on elementary mathematics education.

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중등 수학교사의 수학내용 지식 (Mathematical Content Knowledge of Secondary Mathematics Teachers)

  • 조완영
    • 대한수학교육학회지:학교수학
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    • 제13권2호
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    • pp.345-362
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    • 2011
  • 본 연구의 목적은 중등 수학교사가 알아야 할 수학내용 지식에 관한 개념을 보다 명확히 하고, 이를 근거로 현직 수학교사의 수학내용 지식을 부분적으로 조사하는데 있다. 수학교사가 알아야 할 수학내용 지식을 학교수학의 내용지식과 과정지식, 학교수학과 연결된 학문적 수학으로 구분할 수 있다. 학교수학과 연결된 학문적 수학, 학교수학의 과정 지식 중 수학외적 문제해결, 추론과 증명 영역을 중심으로 현직 수학교사들의 수학내용 지식을 조사하였다. 조사 결과 수학외적 문제해결력, 추론과 정당화 관련 문제는 물론 학교수학과 학문적 수학 사이의 연결 관련 문제 모두 타당한 설명을 포함한 정답률에 문제가 있는 것으로 나타났다.

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중등예비수학교사의 활동 일지에서 살펴본 노티싱의 특징 (Characteristics of Pre-service Secondary Mathematics Teachers' Noticing in Their Journals)

  • 권나영;이민희
    • 한국학교수학회논문집
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    • 제22권1호
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    • pp.63-80
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    • 2019
  • 본 연구는 중등예비수학교사의 학생의 학습에 대한 노티싱을 살펴보기 위해 시작되었다. 이를 위해 4명의 중등예비수학교사가 중학교 수학수업에서 학습보조교사 활동을 하고 작성한 일지를 조사하였다. 일지에 나타난 학생에 대한 노티싱은 선행연구의 분석틀을 기초로 하여 알아차리기, 해석하기, 반응하기의 세 가지로 구분하여 분석하였다. 연구결과 중등예비수학교사들은 대체로 학생에 대한 일반적인 알아차리기가 많고 수학적 사고에 대한 해석하기가 상대적으로 적게 나타났다. 반응하기에서는 질문을 통한 학생의 사고 촉진보다는 학생들에게 설명하기가 많이 나타남을 확인하였다. 이를 토대로 중등예비수학교사 교육프로그램에 주는 시사점을 논의하고자 한다.

그림그리기 전략을 통한 초.중등수학의 연립방정식 지도 연결성 강화 (Crossing the Gap between Elementary School Mathematics and Secondary School Mathematics: The Case of Systems of Linear Equations)

  • 권석일;임재훈
    • 대한수학교육학회지:수학교육학연구
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    • 제17권2호
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    • pp.91-109
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    • 2007
  • 이 논문은 이원일차연립방정식과 관련하여 초등수학과 중등수학의 연결성 문제를 분석한 것이다. 초등학교 수학 교과서와 중학교 수학 교과서에서 이원일차연립방정식 문장제가 다루어지는 방식을 연결성 측면에서 분석하고, 연결성을 강화하는 접근법을 제안하였다. 교과서 분석 결과 이원일차연립방정식 문장제에 대한 초등학교 수학 교과서와 중학교 수학 교과서의 접근법이 서로 연결되어 있지 않았다. 이에 이 논문에서는 이원일차연립방정식 문장제 해결에 그림그리기 전략을 도입하여 초등수학과 중등수학의 연결성을 강화하는 방안을 한 초등 6학년 아동의 사례를 통해 제시하였다.

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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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A STUDY ON THE INTEGRATED APPROACH FOR CHARACTER EDUCATION IN MATHEMATICS EDUCATION

  • CHUNGHYUN YU
    • Journal of Applied and Pure Mathematics
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    • 제5권1_2호
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    • pp.55-68
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    • 2023
  • Character education is an important educational purpose in the current situation of secondary mathematics education. In the current mathematics curriculum, character education is mentioned in terms of core competencies. However, it is very difficult to concretely practice character education in secondary mathematics education. This paper examines the theoretical background of character education in the tradition of mathematics education, and suggests that mathematics is regarded as a practical tradition by the nature of mathematics from a value-intrinsic perspective. In this respect, mathematics education is defined as an intrinsic and nurturing character through long history of practice. This paper searched for an integrated approach to practicing character education in of secondary mathematics education, and argued that the teacher's personal approach including the class model approach of the human factors by an example of the exponential law aman = am+n and the value-oriented activities according to the nature of the mathematics was the core.

Senior Secondary School Students' Epistemological Conceptions of Mathematics in China: Characteristics and Development Process

  • Yang, Xinrong
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제17권2호
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    • pp.79-97
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    • 2013
  • This paper reports findings from a survey of senior secondary school students' epistemological conceptions of mathematics with the adaption of the instrument of the "Conceptions of Mathematics" - Inventory in China. The survey included a sample of 414 Grade 10 students, 441 Grade 11 students, and 400 Grade 12 students from three provinces. Descriptive statistics, one-way ANOVA, and T-test were employed to analyze data in this study. It was found that senior secondary school students mainly focused on objectivity and reality of mathematics, without highlighting the characteristics of sociality, subjectivity, and creativity of mathematics. In addition, besides gender differences, differences were identified among students from different grades, different areas, taught by teachers with different teaching experience and experience in using reformed curriculum.

중등 초임 수학교사들의 컴퓨터 활용의 인식에 따른 활용도에 대한 연구 (A Study on Utilization Frequency by Beginning Secondary Mathematics Teachers' Perception of Computer Utilization)

  • 이강섭;심상길
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권4호
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    • pp.415-427
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    • 2012
  • This study investigated the perception and utilization about computer of beginning secondary mathematics teachers by utilization frequency of computer. To increase utilization frequency of computer in school mathematics, our finding shows that beginning secondary mathematics teachers should have an interest in computer utilization and perceive computers as an important tool for mathematics learning. In addition, they are likely to use more frequently computer under the condition that computers have sufficient class materials and supplement their shortcomings that have derived less usage in math classes. Therefore, future studies have to investigate not only how to develope textbooks and run after-school classes but also how to make creative discretional activities by computer, which makes computers more useful for teacher training. In sum, the results of case studies for computer usability should be released to motivate computer utilization and increase mathematical thinking ability.

중등 수학교과서가 다루는 수학사의 비판과 대안 (Study on Criticism and Alternative on the History of Mathematics Described in the Secondary School Mathematics Textbooks)

  • 박제남;장동숙
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제29권2호
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    • pp.157-196
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    • 2015
  • 본 논문의 목적은 중등 수학교과서에 기술되어 있는 수학사의 주요 문제점을 알아보고, 그리고 중등 수학교과서에 수학문화의 전이가 반영되어야함을 주장하는데 있다. 교과서에서 다루는 수학사는 기축시대와 고대 그리스에서 고대 이집트, 고 바빌로니아, 그리고 이슬람 수학을 제외한 유럽으로의 수학문화의 전이가 반영되어 있다. 우리는 이를 알아보고 수학사적 문제의 대안을 제시하였다.