• 제목/요약/키워드: mathematics instruction

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수학적 창의성 신장을 위한 탐구학습에 관한 소고 (Inquiry-Oriented Instruction to Foster Mathematical Creativity)

  • 박성선
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제6권2호
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    • pp.65-74
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    • 2002
  • In this paper, inquiry-oriented mathematics instruction was suggested as a teaching method to foster mathematical creativity. And it is argued that inquiry learning assist students to explore the mathematical problem actively and thus participate in mathematical activities like mathematicians. Through inquiry activities, the students learn mathematical ideas and develop new and creative mathematical ideas. Although creativity is often viewed as being associated with exceptional ability, for mathematics teacher who want to develop students' mathematical creativity, it is productive to view mathematical creativity as a mathematical ability that can be fostered in general school education. And also, both teacher and student have to think that they can develop mathematical ideas by themselves. That is very important to foster mathematical creativity in the mathematics class.

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Holistic Reform of the Mathematics Curriculum - the Hong Kong Experience

  • Wong, Ngai-Ying;Lam, Chi-Chung;Leung, Frederick Koon-Shing;Mok, Ida Ah-Chee;Wong, Ka-Ming Patrick
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제3권2호
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    • pp.69-88
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    • 1999
  • The Hong Kong mathematics curriculum has launched its reform in recent years. It was the first time that a holistic review of syllabi from Primary 1 through Secondary 7 was made. The curriculum development agency also decided to base the reform on sound pedagogical foundations. That was assisted with academic research where the views of various stakeholders were investigated in detail. Surveys were conducted with students, parents, teachers, employers, university professors, and curriculum designers and they give a full picture of mathematics teaching and learning in Hong Kong. The rich data collected should shed light on the development of mathematics curriculum in other regions with similar socio-cultural and educational settings.

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A First Grade Teacher's Challenge in Promoting Students' Understanding of Unit Iteration

  • Pak, Byungeun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제25권3호
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    • pp.175-188
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    • 2022
  • Measurement has been an important part of mathematics content students must learn through their schooling. Many studies suggest students' weak measurement learning, particularly related to length measurement, on the part of lower grade students. This difficulty has been attributed to mathematics curriculum as well as instruction. Building on a view of teaching as an interactive activity, this paper explores how a first grade teacher interacted with her students in small groups in a length measurement lesson to promote conceptual understanding as well as procedural fluency. I found that even though the teacher supported students to explain and justify what they understood, the ways the teacher interacted with students were not effective to promote students' understanding. Even though this finding is based on an analysis of a single mathematics lesson, it provides an example of challenges in promoting students' understanding through interaction with students in the context of teaching length measurement.

수학 학습 부진 학생을 위한 오개념 교정 지도 자료 개발 연구 (Development of Instruction Materials for Underachieving Students to Correction of Misconception)

  • 최승현;남금천;류현아
    • 대한수학교육학회지:수학교육학연구
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    • 제23권2호
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    • pp.117-133
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    • 2013
  • 수학적 오개념은 학습 부진 학생들이 올바른 수학 학습을 하는 데 큰 방해 요소 중 하나이다. 오개념의 발생을 줄이고 올바른 개념 형성을 돕고자 중학교 수학 학습에서 흔히 발생하는 수학적 오개념을 정리하여 '중학교 수학과 학습 부진 학생 지도를 위한 맞춤형 교수 학습 방법 자료'를 개발하였다. 이는 수학과 학습 부진 학생 지도를 담당한 교사들에게 교수 학습에 필요한 주요 교육 내용과 창의적이고 흥미 있는 수업 아이디어를 제공하기 위한 자료이다. 뿐만 아니라 오개념을 가진 학생들이나 학습부진아 학생들의 수업자료로 사용하거나, 교사들의 연수 자료로도 사용할 수 있을 것이다.

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수학교과 수준별 교수-학습 자료에서 MathML과 XSLT의 활용 (An Application of MathML and XSLT for Differentiated Instruction-Learning Materials in Mathematics Course)

  • 홍은표;이수현
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권5호
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    • pp.683-696
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    • 2003
  • In this paper, we propose an authoring methodology of differentiated instruction-learning materials in mathematics course using MathML and XSLT, and give utilizing suggestions of these materials as differentiated textbook and individual learning. Incorporating MathML into instruction-learning materials, there are many advantages such that view of the materials in web browser is improved since mathematical expressions are compatible with text, and an expression can be modified in more convenient way since the expression is represented in text format not an image. In authoring of differentiated materials, the author provides one document for various levels of students. Then, each level of materials is generated from the document via XSLT transformation. This enables author-driven progress control rather than student-driven which does in previous approaches, since students don't need to select components of the material.

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소수 개념 지도에 관한 연구 (On the Instructions of Concepts of Decimal Fractions)

  • 김용태;임해경;안병곤;신봉숙
    • 대한수학교육학회지:수학교육학연구
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    • 제11권1호
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    • pp.223-238
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    • 2001
  • Decimal fractions are the practical system of notations representing real numbers. The set of decimal fractions with the definition of comparison of decimal fractions and the identification of their double representations is essentially the field of real numbers. Therefore, we have to clarify the concept of decimal fractions. However, there are problematics that the aquisition of the concept of decimal fractions is not easy. In this paper, we attempt to eradicate the problematics relevant to the acquisition of decimal fractions discussed above and find the desirable direction of instruction of meaning for mathematical symbols: The case of decimal fractions. In J. Hiebert & decimal fractions. First of all, we clarify the essence of them - ratio, operator and linearity. And we compare and analyse the theories about decimal fractions of Resnick, Drexel, Brousseau and Hiebert and the contents of texts about decimal fractions in Korea. Finally, we suggest the efficient instruction methods which are faithful to the essence of decimal fractions and choose some methods among them to plan the classroom instruction and implement the methods in the classroom.

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함수개념의 이해 촉진을 위한 수업 설계: 상황학습이론을 중심으로 (Designing Instruction to Facilitate the Understanding of the Functional Concept: Based on the Situated Learning Theory)

  • 최정임;허혜자
    • 대한수학교육학회지:학교수학
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    • 제3권2호
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    • pp.373-399
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    • 2001
  • The function is a basic and key concept to understand mathematical problems. However, many students have difficulties to expand the knowledge to other related concepts and to transfer the knowledge to real world problems. The reasons for the problem may be that the concept of function is taught by simplified and abstracted formula without fully understanding of the reasoning process. Also, the examples for the concepts are artificial and not related to students' experiences. Situated learning theory provides great implications to solve these problems. So, this study was designed to teach the concept of function more meaningful to students by appling situated learning theory. Thirty-eight middle school students were participated in this study. Students were provided the instruction designed according to the principles of situated learning theory. Then, they were asked to complete attitude survey questionnair and a performance assessment task. The result showed that the instruction based on situated learning theory was useful to Promote students' understanding and motivation for learning. More implications of the study was provided in the paper.

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수학영재 수업 사례분석 (A Case Study on Instruction for Mathematically Gifted Children)

  • 박광순
    • 영재교육연구
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    • 제20권3호
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    • pp.655-679
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    • 2010
  • 본 연구는 수학영재교육 담당교사의 교수학습 전문성 향상을 위해 수학영재 수업 사례를 주로 Flanders 언어 상호작용 분석법과 TIMSS 비디오 분석법을 이용하여 분석하고 이를 통해 수학영재 수업을 어떻게 해야 하는 것인가에 대한 시사점을 주고자 시작되었다. 본 연구를 통하여 수학영재교육 담당교사의 영재수업 질적 제고 방안에 대한 심층적인 이해와 반성적 성찰의 계기가 되어 더 나은 교사로서의 삶을 계획하고 영재수업 전문가로서 발돋움하는 기회가 되었으면 한다.

스프래드시트를 활용한 수엽이 통계적 사고 및 태도에 미치는 효과 (Effects of Spreadsheet-used Instruction on Statistical Thinking and Attitude)

  • 이종학;김원경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권2호
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    • pp.185-212
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    • 2011
  • The purpose of this study is to analyze whether spreadsheet-used instruction can improve statistical thinking ability and attitude and also to identify what characteristics of statistical thinking is constructed. For this study, a subject of 2 classes were randomly selected among the 12 classes of the 11th grader in D high school and designated one class as the experimental group and the other class as the control group. Eight hours of the spread sheet-used instruction and the traditional textbook-oriented instruction had been carried out in each class. The research findings are as follows. First, the spread sheet-used instruction is shown to be more effective in enhancing statistical thinking than the traditional textbook-oriented instruction. Second, the spread sheet-used instruction is shown to be more effective in improving statistical attitude than the traditional textbook-oriented instruction. Third, students have shown the various characteristics of statistical thinking in the data descriptive process, data arrange-summary process, data representing process, and data analying process through the spread sheet-used instructions. Hence, the spread sheet-used instruction is recommended in teaching statistics.

초등학생의 비례적 추론 지도에 관한 연구 (A Study on the Proportional Reasoning Instruction for Elementary School Children)

  • 김경선;박영희
    • 대한수학교육학회지:학교수학
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    • 제9권4호
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    • pp.447-466
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    • 2007
  • 본 연구에서는 학생들이 비례적 추론 문제에서 어떠한 어려움을 겪고 있는지, 어떠한 문제해결전략을 사용하는지를 구체적으로 살펴보고, 현행 교과서의 문제점은 무엇인지 등을 조사하여 이를 바탕으로 6-가 단계 '비례식' 단원에 관한 지도 프로그램을 개발하여 학생들의 비례적 추론에 대한 개념변화를 알아보고자 하였다. 먼저 학생들 대상의 검사지를 분석해 본 결과, 학생들은 비례적 상황 문제에서 취약함을 보였다. 이에 따라 연구자가 제작한 프로그램을 초등학교 6학년 학생들에게 적용해보고 상중하 수준에 따른 학생들의 변화를 알아보았다. 또한 실험반과 비교반의 학생들의 상중하 수준에 따른 비례추론의 특성을 비교하였다.

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