• 제목/요약/키워드: understanding of purpose of mathematics education

검색결과 292건 처리시간 0.024초

The Activites Based on Van Hiele Model Using Computer as a Tool

  • Park, Koh;Sang, Sook
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제4권2호
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    • pp.63-77
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    • 2000
  • The purpose of this article is to devise the activities based on van Hiele levels of geometric thought using computer software, Geometer\\\\`s Sketchpad(GSP) as a tool. The most challenging task facing teachers of geometry is the development of student facility for understanding geometric concepts and properties. The National Council of teachers of Mathematics(Curriculum and Evaluation Standards for School Mathematics, 1991; Principles and Standards for School Mathematics, 2000) and the National Re-search Council(Hill, Griffiths, Bucy, et al., Everybody Counts, 1989) have supported the development of exploring and conjecturing ability for helping students to have mathematical power. The examples of the activities built is GSP for students ar designed to illustrate the ways in which van Hiele\\\\`s model can be implemented into classroom practice.

수학의 교수학적 내용 지식(PCK)에 대한 연구의 메타적 검토 (A Meta Review of the Researches on PCK in Mathematics)

  • 박경미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제48권1호
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    • pp.93-105
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    • 2009
  • Considering the fact that PCK(pedogogical content knowledge) tends to guarantee the identity of mathematics education as a discipline and the teacher professionalism, PCK is one of the core concepts in the research on subject matter education. The purpose of this study is to review domestic and international researches on the definition and the components of PCK in mathematics. Based on the review, this study identified 3 knowledges which consist PCK; knowedge of mathematic content, knowledge of learner's understanding, and knowledge of teaching. Then this study provided some examples of PKC in the topic, the limit of sequences, and introduced the LMT and TEDS-M items, which were designed to measure the teacher's PCK. Lastly, this study attempted to evaluate the items on mathematics education included in the Teacher Employment Test administered for pre-service/. teachers in Korea based on PCK.

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수학을 왜 배우는가? - 초등학생들의 이해를 중심으로 - (Why Study Mathematics? - Focused on the Elementary School Students' Conception -)

  • 김상화;방정숙
    • 대한수학교육학회지:수학교육학연구
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    • 제17권4호
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    • pp.419-436
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    • 2007
  • 학생들이 수학을 왜 배우는지에 대해 알고 실제로 수학의 필요성과 가치를 이해하는 것은 수학교육에서 근본적인 지향점이라고 볼 수 있으나, 그동안 소홀한 연구영역 중의 하나이다. 이에 본 연구는 설문지 조사와 면담을 통하여 초등학교 6학년 학생들이 이해하고 있는 수학 교육의 목적을 조사하였다. 연구 결과 학생들은 수학교육의 다양한 목적을 이해하기보다는 실용성, 학문적 가치, 미래를 위한 준비로서의 수학에 많은 비중을 두고 있었다. 성별에 따른 차이는 거의 없었지만 성취 수준에 따라 차이가 있었으며 특히, 학문적 가치로서의 수학을 이해하는 정도는 큰 차이를 보였다. 본 논문은 초등학생들의 수학교육 목적 이해 정도에 대한 분석 결과 및 시사점을 제공함으로써, 학생들의 관점에서 수학 교육의 목적을 제대로 이해하는 것이 중요하다는 점을 부각시키고자 하였다.

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Mathematics across the Curriculum - Educational Reform as a Problem Solving Activity -

  • Cerreto, Frank A.
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2007년도 제38회 전국수학교육연구대회 프로시딩
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    • pp.7-19
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    • 2007
  • During the past 20 years, a small but potentially powerful initiative has established itself in the mathematics education landscape: Mathematics Across the Curriculum (MAC). This curricular reform movement was designed to address a serious problem: Not only are students unable to demonstrate understanding of mathematical ideas and their applications, but also they harbor misconceptions about the meaning and purpose of mathematics. This paper chronicles the brief history of the MaC movement. The sections of the paper correspond loosely tn the typical steps one might take to solve a mathematics problem. The Problem Takes Shape presents a discussion of the social and economic forces that led to the need for increased articulation between mathematics and other fields in the American educational system. Understanding the Problem presents the potential value of exploiting these connections throughout the curriculum and the obstacles such action might encounter. Devising a Plan provides an overview of the support systems provided to early MAC initiatives by government and professional organizations. Implementing the Plan contains a brief description of early collegiate programs, their approaches and their differences. Extending the Solution details the adoption of MAC principles to the K-12 sector and throughout the world. The paper concludes with Retrospective, a brief discussion of lessons learned and possible next steps.

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만5세 유아 어머니의 수학교육내용별 중요성 인식 및 수학적 상호작용 (Perceived Importance and Mathematical Interaction of 5-year-olds' Mothers according to Contents of Mathematics Education)

  • 김지현;김정민
    • 한국보육지원학회지
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    • 제10권2호
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    • pp.175-192
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    • 2014
  • 본 연구는 수학교육내용에 따른 만5세 유아 어머니의 중요성 인식 및 수학적 상호작용의 차이를 살펴보고, 어머니의 수학교육목적인식이 수학교육내용별 중요성 인식 및 수학적 상호작용에 미치는 영향과 구체물 및 학습지 효과성 인식이 수학교육내용별 중요성 인식 및 수학적 상호작용에 미치는 상대적 영향력을 살펴보았다. 연구대상은 만5세 유아 어머니 151명이었고, 질문지 조사를 실시하였다. 그 결과 만5세 유아 어머니의 수학교육내용에 대한 중요성 인식 및 수학적 상호작용은 '수와 연산'에서 높게 나타났다. 어머니의 수학교육목적인식은 모든 수학교육내용에 대한 중요성 인식을 예측하였고, '수와 연산', '공간과 도형', '규칙성'에 대한 수학적 상호작용을 예측하였다. 어머니의 구체물 효과성 인식은 학습지 효과성 인식보다 수학교육내용 중요성 인식을 더 잘 예측하였다. 그러나, '수와 연산'에 대한 중요성 인식은 학습지 효과성 인식이, 수학적 상호작용은 구체물 효과성 인식이 예측하였다. 연구결과는 수학교육내용 및 방법에 대한 구체적이고 실질적인 부모교육의 필요성 측면에서 논의되었다.

사범대학 수학교육과 교육과정 개선을 위한 기초 연구 - 교사들의 인식 조사를 바탕으로 - (A Study on Development of Pre-service Program at College of Education Based on Mathematics Teacher's Recognition)

  • 황혜정
    • 한국학교수학회논문집
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    • 제10권1호
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    • pp.1-25
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    • 2007
  • 최근 들어, 우리나라에서도 수학 교사의 전문성 신장을 위한 여러 가지 교사 재교육에 관한 관심이 점차 고조되고 구체적인 프로그램의 안이 모색되고 있다. 이에 따라 보다 근원적으로 전문성 있는 예비 교사 양성을 위한 효과적인 교원 양성 체제를 위한 연구 및 개선 방안이 모색되어야 할 것으로 사료된다. 이러한 취지하에, 본 연구에서는 30명의 중등 수학 교사들을 대상으로 설문 조사 방법을 이용하여 사범대학 수학교육과 재학 당시 어떠한 교육 내용이 다뤄졌는지, 또 그러한 교육 내용이 실제 현장에서의 수학 수업과 연관되어 활용되고 있는지 살펴보고자 한다. 그리고 향후 예비 교사 양성을 위하여 사범대학 수학교육과 교육과정에 어떠한 교육 내용이 필요한지를 살펴보고자 한다.

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초등 수학 교과서의 규칙성과 함수 영역의 활동 고찰 (An Investigation of Patterns and Functions in Elementary School Mathematics Textbooks)

  • 권성룡
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제10권2호
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    • pp.111-123
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    • 2007
  • The purpose of this study was to examine contents and activities of patterns and functions in the 7th national curriculum for elementary school mathematics and textbooks developed based on it. Through examination, several conclusions were drawn as follow. First, pattern need to be introduced as a way of doing mathematics not as a subject of mathematics. Finding patterns is one of the most important mean to do mathematics. Second, activities for patterns and functions must be organized coherently. Coherent means that mathematical ideas are linked to and build on one another so that students' understanding and knowledge deepens and their ability to apply mathematics expands. Third, independent lessons for patterns and functions are needed. In these lessons, various activities need finding patterns can be introduced to help students understand mathematics. Fourth, the linkage between patterns and functions should be strengthened.

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교육실습 과정에서 배우는 초등예비교사의 수학 교수학적 내용 지식에 관한 사례연구 (A Case Study on Elementary Pre-service Teachers' Pedagogical Content Knowledge of Mathematics that Learned in the Course of Student Teaching)

  • 남윤석;전평국
    • 한국수학교육학회지시리즈A:수학교육
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    • 제45권1호
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    • pp.75-96
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    • 2006
  • The purpose of this study was to analyze how elementary pre-service teachers learned the pedagogical content knowledge of mathematics and to understand the challenges and difficulties that they experienced in the course of student teaching. A qualitative case study provided an in-depth description of the whole three weeks of student teaching process. Four pre-service teachers and two mentor teachers participated in this study. Multiple data collection techniques were used; classroom observations, in-depth interviews, document analysis, and researcher's field notes. The results of this study showed how pre-service teachers learn PCK of mathematics in designing mathematics lessons, understanding mathematics learners and delivering mathematics lessons and what are the difficulties and challenges they experienced. Finally this study discussed about some suggestions to pre-service program and future research.

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진로탐색을 강화한 수학과 자유학기제 통계 프로그램 개발 및 적용 (Development and Implementation of the Program for the Free Learning Semester Focused on Career Exploration)

  • 강태경;이서빈;고상숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제56권2호
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    • pp.177-191
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    • 2017
  • This study was to investigate the effect of the statistics education program for the test-free semester. Two tests of questionnaires were used after revising some items for the subjects and statistical contents covered according to the purpose of the study during the 2nd semester, 2016. one was for finding students' attitude toward statistics and the other for understanding my career exploration. The statistics education program was developed for 5 lesson units and was applied to two classes with 53 students of one middle school in Gyeonggi-province. The results showed that students' understanding on career exploration was improved especially, in self understanding, perceiving career world related to statistics, and economical & educational understanding in statistical career. Also, the three areas such as interest, value, and effort among five areas about students' statistical attitude which was measured by the attitude test revised from the previous study, were improved with statistical significance. Moreover, we analyzed the degree of students' satisfaction over the program. Most of students were satisfied with the program saying that "I could not believe it is over now. The time has gone so fast." or "My mentor(a pre-service teacher) helped me a lot." Therefore, the program for the test-free semester should include the contents for exploring future-career and relating to real life.

수학 수업에서 드러나는 교사 지식을 분석하기 위한 틀로서의 '교사 지식의 사중주(Knowledge Quartet)' ('The Knowledge Quartet' as a framework of analyzing teacher knowledge in mathematics instruction)

  • 방정숙;정유경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제52권4호
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    • pp.567-586
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    • 2013
  • The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher's knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e., foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.