• 제목/요약/키워드: Knowledge for Teaching Mathematics

검색결과 348건 처리시간 0.021초

예비교사를 위한 수학답사활동 수행 결과 분석 (The Analysis on the Results of Mathematics Field Trips for Pre-service Mathematics Teacher)

  • 서보억
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권2호
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    • pp.139-159
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    • 2016
  • 본 연구는 수학교육의 현장을 교실이 아닌 교실 밖으로 확장할 수 있다는 것을 전제로 진행되었다. 최근 수학교육은 다양한 현장체험활동, 실생활을 기반으로 한 수학교육 등의 중요성이 증가되고 있고, 이로 인해 예비교사교육에서도 이에 대한 고려가 필요한 실정이다. 이에 본 연구에서 예비수학교사를 대상으로 수학답사활동을 진행하고, 그 구체적인 적용 결과를 분석하였다. 우리 고유의 역사적 문화재 속에서 실시한 예비교사의 수학답사활동 전후에 대한 인식의 변화에 대한 양적 분석과 더불어, 수학답사활동의 목적인 인지적 효과, 정의적 효과, 문화-수학적 효과, 수학수업 개선 효과 및 수업목표지식, 수업내용지식 측면에서 질적 분석을 실시하였다. 연구결과 수학답사활동은 예비수학교사에게 유의미한 효과가 있는 것으로 나타났고, 새로운 교수학습 방법으로 정착하기 위해 지속적인 연구가 기대된다.

Middle School Mathematics Teachers' Responses to a Student's Mistaken Mathematical Conjecture and Justification

  • Kim, Young-Ok
    • East Asian mathematical journal
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    • 제29권2호
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    • pp.109-135
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    • 2013
  • The purpose of the study was to investigate the reality of middle school mathematics teachers' subject matter knowledge for teaching mathematical conjecture and justification. Data in the study were collected through interviewing nine Chinese and ten Korean middle school mathematics teachers. The teachers responded to the question that was designed in the form of a scenario that presents a teaching task related to a geometrical topic. The teachers' oral responses were audiotaped and transcribed, and their written notes were collected. The results of the study were compared to the analysis of American and Chinese elementary and secondary teachers' responses to the same task in Ball (1988) and Ma (1999). The findings of the study suggested that teachers' approaches to explaining and demonstrating a mathematical topic were significantly influenced by their knowledge of learners and knowledge of the curriculum they teach. One of the practical implications of the study is that teachers should recognize the advantages of learning the conceptual structure of a mathematical topic. It allows the teachers to have the flexibility to come up with meaningful mathematical approaches to teaching the topic, which are comprehensible to the learners whatever the grade levels they teach, rather than rule-based algorithms.

Exploring Preservice Teachers' Computational and Representational Knowledge of Content and Teaching Fractions

  • Rosli, Roslinda;Han, Sunyoung;Capraro, Robert M.;Capraro, Mary M.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제17권4호
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    • pp.221-241
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    • 2013
  • The data for the present paper was a part of a large research project conducted to assess preservice teachers' knowledge related to fractions and place value at a southwestern public university in 2007. The study utilized convenience sampling, consisting of 150 elementary preservice teachers who were enrolled in a mathematics methods course before their student teaching. The results demonstrated preservice teachers' knowledge of teaching comparison, addition, subtraction, and multiplication of fractions was insufficient even though these should be basic knowledge. Teacher preparation programs should emphasize profound knowledge for teaching fractions using representations.

Relationships Between Teachers′ Knowledge of School Mathematics and their Views of Mathematics Learning and Instructional Practice: A Case Study of Taiwan

  • Huang, Hsin-Mei
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제6권1호
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    • pp.1-28
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    • 2002
  • This study explored teachers (n = 219) from northern, central, southern and eastern Taiwan concerning their views about children's learning difficulties, mathematical instruction and school mathematics curricular. Results showed that teachers' mathematics knowledge or their instruction methods had no significant influence on their views of children's learning difficulties. Even though teachers indicated that understanding of abstract mathematical concepts was the most prominent difficulty for children, they tended to employ direct instruction rather than constructive and cooperative problem solving in their teaching. However, teachers' views of children's learning difficulties did influence their instructional practice. Results from in-dept interviews revealed that there were some obstacles that prevented teachers from putting constructiveism perspectives of instruction into teaching practice. Further investigation is needed to develop a better understanding of epistemology and teaming psychology as well as to help teachers create constructive learning situations.

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수학 교수 효능감 측정 도구 개발 연구 (The Development of Mathematics Teaching Efficacy Instrument)

  • 강문봉;김정하
    • 한국초등수학교육학회지
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    • 제18권3호
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    • pp.519-537
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    • 2014
  • 본 연구는 수학 교사들의 교사로서의 자기 효능감을 효과적으로 측정하기 위해, 수학교사의 효능감에 영향을 주는 요소를 문헌 연구를 통하여 추출하고, 효능감 측정을 위한 도구를 개발하는 것이다. 수학교사의 교수효능감에 영향을 미칠 수 있는 요인으로 수학 교수 효능기대, 수학 교수 결과기대, 교수학적 내용 지식, 학생에 대한 교사의 신념, 교사의 과거 수학학습 경험에 대한 신념, 사회문화적 영향에 대한 기대라는 6가지 요소를 도출하였고, 이러한 요인에 기반하여 30문항으로 구성된 수학 교수 효능감 측정 도구(MTEI)를 개발하였다.

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2015 개정 초등수학 교과서 2학년 곱셈 단원 분석 (A Study on the 2nd Grade Multiplication Units in 2015 revised Elementary Mathematics Textbooks)

  • 김성준
    • East Asian mathematical journal
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    • 제33권4호
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    • pp.353-380
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    • 2017
  • The purpose of this study is to analyze the multiplication units in the elementary school mathematics. In the 2015 revised curriculum, students learn multiplication in $2^{nd}$ grade. The multiplication units is divided into two: multiplication and multiplication facts. In these two units, we mainly analyze situations involving multiplication, models for teaching multiplication, and multiplication strategies for teaching multiplication facts in relation to Subject Matter Knowledge. We called these contents Multiplication Matter Knowledge. We examined the precedent study with regard to multiplication at the elementary mathematics. As results, we prepared an analysis framework for this study. This study was conducted according to qualitative research methods, expecially 'qualitative contents analysis'. The contents here refer to Multiplication Matter Knowledge that can be found in the elementary mathematics textbooks and working books etc. As results of analysis, We can confirm that various multiplication situations and multiplication models are presented in the textbooks. And it has been examined that various multiplication properties are presented in the textbook according to the multiplication strategy levels. We insist elementary school teachers should be aware of these Multiplication Matter Knowledge. This study aims to provide elementary school teachers with basic data in these contexts.

중등예비수학교사의 수업능력 향상을 위한 교수-학습 포트폴리오 활용방안 연구 (A Study on Utilization of Teaching-Learning Portfolio for Improvement of Teaching Competency of Pre-Service Mathematics Teacher)

  • 강현영
    • 대한수학교육학회지:학교수학
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    • 제16권3호
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    • pp.567-584
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    • 2014
  • 최근 교사의 전문성 중 가장 핵심이 되는 수업 전문성이 강조되고 있다. 특히 2012년 수학교육선진화 방안 발표 후 수학 교사의 수업 능력의 중요성이 강조되었다. 수학 교사의 수업능력 향상을 위해서는 예비수학교사 시기에서부터 교육 경험이 필요하다. 예비수학교사의 수업 능력 개발 및 강화를 위해서는 교육적 실행과 관련하여 자신의 실천을 체계적으로 반성하고 개선해 나아가는 경험이 필요하다. 즉, 반성적 사고와 실천적 지식의 함양을 위한 수업 실습에 관한 이론과 실천 양면의 체계적인 실행과 지도가 필요하다. 이에 따라 본 연구에서는 예비수학교사의 수업능력 향상을 위해 실행 가능한 교수-학습 포트폴리오의 구성요소 및 적용절차를 개발하였다. 또한 수업능력 향상을 위한 교수-학습 포트폴리오 작성 후 설문조사를 통하여 예비수학교사의 수업능력 향상에 효과적이었으며, 수학교사 교육을 위한 발전적인 시사점을 얻을 수 있었다.

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Insight into the Development of Mathematics Teaching: A Comparative Study of Two Videotaped Lessons

  • Li, Shiqi;Yang, Yudong
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권3호
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    • pp.165-176
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    • 2007
  • From the perspective of phenomenongraphy(根据登的象式), two videotaped mathematics lessons were observed, compared and analyzed, and the features of those times were extracted. The quantitative and qualitative analysis of the global structure and the questioning in the lessons etc. showed that in teaching behaviors there were some essential differences reflecting the impact of new beliefs and principles of teaching. Evidences also show that excellent teachers did keep and carry on the good tradition teaching for basic knowledge and basic skills were seen as the most important thing in mathematics teaching in China.

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Reflections in Peer Evaluation: Is the Attended Teacher Training Program the Implemented Training program?

  • Delice, Ali;Sevimli, Eyup;Aydin, Emin
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제13권2호
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    • pp.141-150
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    • 2009
  • This study gives opportunity for investigating how student teachers view the teaching profession and how they transfer their pedagogical knowledge into practice. The aim of the study is to investigate the teaching skills student teachers gained in the assessment of micro teaching of their peers. The participants are 30 mathematics student teachers enrolled in the teacher training program in a state university. Document analysis and semi-structured interviews are the research instruments and inferential & descriptive statistics are used for the data analysis. The findings suggest that the qualitative and quantitative peer assessments of student teachers were graded differently which results from the difference of perceptions about teaching and different conceptualizations of the teaching qualifications.

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초등학교 수학 학습용 게임 개발 및 활용에 관한 연구 (A Study on Development and Utilization of the Elementary Mathematical Games)

  • 강문봉
    • 대한수학교육학회지:수학교육학연구
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    • 제10권2호
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    • pp.199-214
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    • 2000
  • The constructivism is an important stream of the recent trends of mathematics education. In order for students to construct their knowledge for themselves, above all, it should be a prerequisite that they participate in actively, Using games helps students to participate in learning mathematics actively. I think, up to now, mathematics teachers use games mainly for motivation and it does not connect to true learning mathematics through using games. So, the purposes of this study are developing the mathematical games connecting to mathematical contents closely, designing the teaching models to connect game activities to learning mathematics, and developing several teaching plans using games to mathematics class. In this study, I propose what conditions 'good' game should have, classify games as practice game, concept learning game, and strategy game, and develop 43 games from 1 to 6 grade. And I design the teaching models depending on the game types and develop the teaching plans.

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