• Title/Summary/Keyword: 수학교육과 교육과정

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Analysis on Connection of Curriculum and Textbooks in Elementary School Mathematics : Focused on 3~4 Grades (초등학교 수학과 교육과정과 교과서의 연계 분석 - 2009 개정 교육과정 초등학교 3~4학년군을 중심으로)

  • Chang, Hyewon;Kang, Teaseok;Park, Wonkyu;Kim, Dongwon;Lee, Hwanchul
    • Journal of Educational Research in Mathematics
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    • v.24 no.2
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    • pp.181-204
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    • 2014
  • This research aims to have some implications for revision of curriculum and textbooks by analysing connections between the 2009 revised national curriculum and its textbooks in elementary school mathematics. The results of analyses for 3~4 grades can be summarized in four aspects: Firstly, we noticed that the reconstructed achievement criteria were reflected properly in the textbooks except for use of calculators in 'Numbers and Operations'. Secondly, the analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria suggests that 10 units must receive attention. Especially, the range of decimal numbers for adding and subtracting needs to be corrected. Thirdly, mathematical terms and symbols excluding 'unit fraction' were found in the textbooks. Finally, mathematical processes were also fully reflected in the textbooks. However 'simplifying' as a strategy for problem solving was only missing. This result shows good or poor connections between the curriculum and its textbooks, therefore it is expected to be used effectively to revise the national curriculum for mathematics and its textbooks.

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Analysis of the Connection between Competency and Elementary School Content System and Achievement Standards in the 2022 Revised Mathematics Curriculum (2022 개정 수학과 교육과정에서 역량과 초등학교 내용 체계 및 성취기준과의 연계성 분석 )

  • Lee, Hwayoung
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.369-385
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    • 2023
  • As the 2022 revised mathematics curriculum emphasizing competency cultivation was announced, the researcher analyzed the connection between competency, content system, and achievement standards in elementary school mathematics curriculum. The results of the analysis of the link between the competency of the curriculum revision research report, its sub-elements, the 'process and skills' of the curriculum content system, and the achievement standard verb are as follows. First, most of the five curriculum competencies (problem solving, reasoning, communication, connection, and information processing) of the mathematics department are implemented as "process-skills" of the content system, which is further specified and presented as an achievement-based verb. Second, the five competencies were not implemented with the same weight in all areas, and the appropriate process-skills were differentiated and presented according to the content of knowledge-understanding by area/grade group. Third, verbs of the achievement standards were more rich than before in the 2022 revised elementary school mathematics curriculum. Fourth, 'understanding' throughout the entire area was still presented as the highest proportion. Through the research results, the researcher discussed clearly establishing the meaning of problem-solving capabilities in the future and developing and presenting "understanding" as a more specific process or skills.

미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수 ${\cdot}$ 학습의 이론

  • Choe, Yeong-Han;Kim, Mi-Wol
    • Communications of Mathematical Education
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    • v.13 no.2
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    • pp.751-764
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    • 2002
  • 미국의 “전국 수학 교사 협의회” (National Council of Teachers of Mathematics, NCTM)는 1989년부터<학교 수학의 교육과정과 평가 규준> (1989), <수학 가르침(교수)의 전문성 규준> (1991), <학교 수학의 평가(시험) 규준> (NCTM, 1995), <학교 수학의 원리와 규준> (2000)을 출판하여 미국의 수학 교육의 전망(목표, 나아갈 길)과 규준(실행 지침)을 제시하였다. 수학 교사들로 구성된 미국의 NCTM은 학생, 학부모, 학교 행정가 등 많은 사람들과 힘을 합하여 모든 학생들에게 수준 높은 수학 교육을 받을 수 있는 여건(환경, 기회)을 조성하는 데 구심점의 역할을 하였다. 한편 많은 관련 단체들은 여러 배경과 능력을 가진 학생들이 전문성을 지닌 교사(특수 교사를 일컫는 말이 아니다. 수학 교과를 이해하고 수학의 전문성과 특수성을 가르칠 수 있는 일반 교사를 일컫는 말이다.)로부터 미래를 대비해 평등하고, 진취적이며, 지원이 잘 이루어지고, 공학 도구(IT)가 잘 갖춰진 환경에서 중요한 수학적 아이디어를 이해하면서 학습할 수 있는 수학 교실(미국에서는 우리나라처럼 수학 교사가 수학 시간에 학생의 방(교실: Homeroom)에 찾아가지 않고 학생들이 선생의 방(수학 교실: Classroom)을 찾아온다. 전형적인 수학 교실의 사진은 2쪽에 나와 있다.)을 만들기 위해 함께 힘썼다. NCTM에서 출간한 여러 규준들은 우리나라의 제 6 차와 제 7 차 교육과정에도 큰 영향을 미쳤다. 이 글에서는 NCTM (2000)에서 제시한 학습 원리를 간단히 살펴본 다음 이를 중심으로 현재 미국 수학교육의 교수 ${\cdot}$ 학습 이론의 동향을 살펴본다.

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소마큐브와 T자형 퍼즐 중심의 LOGO프로그램을 활용한 수학 영재 교육

  • Kim, Yeong-Gi;Han, So-Yeong
    • Communications of Mathematical Education
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    • v.14
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    • pp.395-403
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    • 2001
  • 컴퓨터를 이용한 수학교육의 개선을 위한 여러 가지 집중적인 노력에도 불구하고 아직까지 컴퓨터가 수학 교육과정에서 차지하는 위상에 대한 구체적이고 체계적인 연구가 이루어지지 못하고 있다. 따라서 본 연구를 통하여 최근의 관심이 되고 있는 교육 프로그램인 LOGO 프로그램을 수학 영재 교육에 어떻게 도입하여야 하는지 그 방법적인 측면의 구체적인 자료를 제공하고자 한다.

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예비 수학교사의 수학과 교수-학습에 대한 신념 조사

  • Jo, Jeong-Su
    • Communications of Mathematical Education
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    • v.14
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    • pp.371-394
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    • 2001
  • 교사 교육기관에서 교육을 받고 있는 예비 수학교사들의 교수-학습에 대한 신념은 주로 초, 중, 고등학교를 다니면서 수학 교사와의 상호작용과 긍정적 혹은 부정적인 경험에 의해서 형성되어져 있다. 이러한 신념은 결국 사범대학에서의 교육을 받으면서 지식의 습득 과정에 영향을 미치게 된다. 따라서 예비수학교사들이 가지고 있는 수학의 교수-학습에 대한 신념을 조사하는 것은 이들이 기존에 가지고 있는 신념에 대한 반성의 기회를 제공하게 되어 바람직한 신념형성 및 장차 교사가 되었을 때 수학교실에서의 교수-학습의 새로운 전환에 도움이 될 것이다. 그리고 이들의 신념을 조사, 연구하는 것은 현재 수학과 교사 교육기관에서 이루어지고 있는 교수와 학습에 대한 질을 개선하는데 도움이 될 것이다.

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A Search for Mathematics Teaching Models for Elementary Schools (현장에 적합한 초등 수학 수업 모형 탐색)

  • Seo, Dong Yeop
    • Journal of Educational Research in Mathematics
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    • v.25 no.3
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    • pp.407-429
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    • 2015
  • This study aims to find the elementary mathematics teachers' satisfaction, availability, and needs, based on the mathematics teaching models in current mathematics curriculum. The satisfaction on current mathematics teaching models is about 80%, but the frequency of usage of the models is a bit low because the models are used once a unit or a semester. Among other subjects, the teachers prefer the teaching models of social studies or science, because the models are convenient in applying models to their teaching. We proposed a few ideas to enhance the availability of mathematics teaching models including the consideration on a variety of content areas of mathematics, students' differences of their mathematics levels, and the teaching and learning methods in mathematics curriculum.

A Study on Classification of Teaching-Learning Materials in Mathematics Using Computers (교수-학습 자료 분류 체계화 연구 - 수학 교과 분류체계를 중심으로 -)

  • 황혜정;신항균
    • School Mathematics
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    • v.6 no.1
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    • pp.91-118
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    • 2004
  • Since 1998 year, many educational software and its contents have been developed by individuals and public institutes. However, it is not easy to re-use the contents effectively and consistently, because they should be changed and reorganized whenever a curriculum is changed. Therefore, it is important for each subject to establish new system in which the contents or their teaching-learning elements are not changed although new curriculum appears. In this respect, in last year(2003 year), while setting mathematics as a representative subject, KERIS executed a study on developing a system(or method) of classifying teaching-learning materials in mathematics using computers, based on future-oriented curriculum including the current mathematics curriculum. Finally, for this study, the most essential and basic teaching-teaming 'units' were developed and the total number of units were 339. Also, in addition to the development of 'units', the 'elements' were developed for understanding more concrete contents included in each 'unit' and the total number of elements were 1191.

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An Analysis on Types and Strategies of Estimation in Measurement in the Textbooks According to 2009 Revised Elementary Mathematics Curriculum (2009 개정 초등학교 수학과 교육과정에 따른 교과서의 어림재기 유형 및 전략 분석)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.267-287
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    • 2015
  • In this paper, based on the results of analysis on types and strategies of estimation in measurement in the textbooks according to 2009 revised elementary mathematics curriculum, the following four implications are suggested for curriculum development and textbook development for a later date. First, it is necessary to reconcile curriculum and textbooks in contents for estimation in measurement. In 2009 revised elementary mathematics curriculum, only estimation in length, estimation in capacity, estimation in weight, estimation in angular measure are presented. However, estimation in time and estimation in area are presented in textbooks. Second, it is necessary to introduce various strategies for estimation in measurement. In teacher's manual, three strategies like using referent, chunking, unitizing are illustrated. But in textbooks, such strategies are not illustrated properly. Third, the meaning of the 'estimate' need to be clarified. In textbooks, 'estimate' are used also in other contexts. Fourth, it is necessary to clarify whether or not to deal with estimation in time, estimation in area, and estimation in volume in the school curriculum. In 2009 revised elementary mathematics curriculum, estimation in time, estimation in area, and estimation in volume are not mentioned explicitly.