• 제목/요약/키워드: Mathematics of the middle school

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중학교 1학년 수학과 서술형 평가문항 개발 연구 (A Study on Development of Problems for Descriptive Evaluation in Grade 7 Mathematics)

  • 노선숙;김민경;조성민;백해진
    • 한국수학교육학회지시리즈A:수학교육
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    • 제47권4호
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    • pp.487-503
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    • 2008
  • In this paper, descriptive assessment method for middle school mathematics was evaluated by developing a framework for designing and grading problems for descriptive assessment and analyzing the effectiveness of the problems. The new descriptive assessment problems were developed by reviewing the current 7th National Mathematics Curriculum of Korea and aligned mathematics textbooks to define a set of problem design principles and evaluation framework for the assessment strategy. The developed problems were first pilot tested and then revised based on the feedback from the test. The final version was field tested by 100 students in 7th grade middle school. After the field test, the problems were graded by two middle school math teachers and one math education researcher to determine the overall correlation between graders and also to analyze effectiveness of the evaluation framework of the test. This result of this study is expected to assist in the further development of descriptive problems and grading framework by providing a reference work for teachers to better understand the process and the limitations of executing the new assessment strategy.

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Research on the Factors Influencing Middle School Teachers' Mathematics Pedagogical Content Knowledge

  • Tong, Li;Qian, Xu-Sheng
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제14권4호
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    • pp.323-332
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    • 2010
  • It is the development of a mathematics teachers' teaching knowledge that manifests a mathematics teacher's professional knowledge growth. It is becoming a direct and effective approach of conversion of mathematical knowledge into the knowledge of mathematics teaching. Through the investigation, the study revealed that the knowledge conversion process of mathematics teachers in middle school is restricted by three aspects including eight factors. From this point, the authors have structured the path and model on influencing factors of middle school Mathematics Teaching Knowledge Conversion (MPCK), and discuss the mechanism of the transformation process.

제1차 교육과정기의 중·고등학교 수학 교과서 발행 실태 연구 (A study on the situation of publishing middle and high school mathematics textbooks in the period of the first curriculum)

  • 박교식
    • 한국수학사학회지
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    • 제33권1호
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    • pp.55-71
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    • 2020
  • In this study, the situation of publishing middle and high school mathematics textbooks used at the period of the first curriculum were investigated. In the period of the first curriculum, middle and high school textbooks were used from 1956, and middle school textbooks were used until 1965, and high school textbooks were used until 1967. First of all, the announcements of the ministry of education related to the textbook authorization were examined in the government official gazettes of 1956~1967. However, there were considerable typographical errors in these announcements of the ministry of education. So textbooks used at that period were examined, and typographical errors were corrected by cross-checking the bibliographic information.

좋은 수학 수업에 대한 교사들의 인식 - 초.중등 교사의 인식 비교를 중심으로 - (Effective Mathematics Instruction - Comparison of Conception by Elementary and Secondary School Teachers -)

  • 방정숙;권미선
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제26권3호
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    • pp.317-338
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    • 2012
  • 본 연구는 교사들이 생각하는 좋은 수학 수업을 알아보기 위해 4개의 대영역(교육과정과 교육내용, 교수 학습, 교실환경 및 수업 분위기, 평가)과 48개 하위 요소로 구성된 설문지를 이용하여 초등학교 교사 223명과 중학교 수학 교사 151명의 반응을 비교 분석하였다. 분석 결과 초등 교사는 대영역 중 교육과정과 교육내용 영역을, 중등 교사는 교수 학습 영역을 가장 중요하게 생각하였다. 세부 요소 별로 살펴보면, 초 중등 교사는 공통적으로 자기주도적 학습 능력을 신장시키는 수업, 학생 수준에 맞게 교육과정을 재구성하여 실시한 수업, 학생과 교사간의 상호작용이 잘 이루어지는 수업 등을 좋은 수학 수업이라고 생각하였다. 그러나 초등 교사는 좋은 수학 수업과 관련된 23개 요소에 대해서 중등 교사보다 더 중요하다고 인식하였으며, 중등 교사는 수학적 표현 능력을 신장시키는 수업, 동기 유발이 잘 이루어지는 수업의 2개 요소에 대해서만 초등 교사보다 유의미하게 더 중요하다고 인식하였다. 이러한 연구 결과를 토대로 우리나라 본연의 좋은 수학 수업에 대한 교사의 인식 및 이에 따른 시사점을 논의하였다.

중학교 기하영역 등분할 개념에 대한 수학사적 분석 및 확장에 대한 연구 (A Historical Process Analysis and Extension of Division into Equal Parts in Middle School Geometry)

  • 서보억
    • 한국수학사학회지
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    • 제26권1호
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    • pp.33-56
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    • 2013
  • 본 연구에서는 중학교 기하영역에서 다루어지는 등분할 개념을 조사하고, 이를 바탕으로 수학사적 분석을 통해 등분할 개념에 대한 확장 가능성을 탐구한 문헌연구이다. 중학교 기하영역에 대한 조사를 통해 선분의 등분할, 각의 등분할, 호의 등분할, 넓이의 등분할 개념이 다루어지고 있음을 발견하였다. 이들 네 개의 등분할 개념에 대한 수학사적 분석을 통해 역사적으로 등분할 개념이 다양한 측면에서 다루어졌음을 확인할 수 있었다. 최종적으로 선분의 등분할 개념과 각(호)의 등분할 개념은 방법적 측면에서의 확장에 대해 고찰하였고, 넓이의 등분할 개념은 개념적 측면에서의 확장에 대해 탐색하였다. 본 연구에서 제시한 등분할에 대한 수학사적 분석 및 확장에 대한 분석 결과를 통해 중등학교에서 수학사의 효과적 활용에 대한 방향 설정이 기대된다.

수준별 수업에서의 중학교 수학 익힘책의 활용 실태

  • 배성수;김영옥
    • East Asian mathematical journal
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    • 제28권2호
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    • pp.251-264
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    • 2012
  • The revised mathematics education curriculum in 2007 decided to introduce mathematics workbooks to the textbook system, which were supplemental textbooks to support mathematics teachers' teaching and students' learning in level-based classroom. This study is to find the field status whether the middle school mathematics workbooks are currently used in the school to be in line with the original intention and purpose and to discuss the improvement direction and effective utilization idea which modification and amendment shall be made for the effective utilization in the field. To achieve the goal of this study, the inquiry survey was made from 75 middle school teachers of the 1st, 2nd and 3rd grade in the middle schools where the moving classing for each level(or class in each level)has been performed with provision of the questionnaire sheet for the understanding of the teachers for the utilization status of the mathematics workbook to solve such study task.

중학교 수학에서 증명을 위한 공리 취급에 관한 연구 (A Note on Treatment of Axioms for Proof in Middle School Mathematics)

  • 김흥기
    • 한국수학교육학회지시리즈A:수학교육
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    • 제40권2호
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    • pp.291-315
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    • 2001
  • There are some problems in the introduction of proof in middle school mathematics. Among the problems, one is the use of postulates and the another is the methods of proof how to connect a statement with others. The first case has been treated mainly in this note. Since proof means to state the reason logically why the statement is true on the basis of others which have already been known as true and basic properties, in order to prove logically, it is necessary to take the basic properties and the statement known already as true. But the students don't know well what are the basic properties and the statement known already as true for proving. No use of the term postulation(or axiom) cause the confusion to distinguish postulation and theorem. So they don't know which statements are accepted without proof or not accepted without proof, To solve this problems, it is necessary to use the term postulate in middle school mathematics. In middle school mathematics, we present same model of the introduction of proof which are used the postulates needed for the proof.

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20세기 말 개정된 한국과 일본의 수학과 교육과정 비교(1) - 초등학교 수학과 교육과정을 중심으로 - (A comparative study on the mathematics curriculum of Korea and Japan in the last of 20 century (1) - focusing on 7he elementary school Mathematics curriculum mainly -)

  • 임문규
    • 대한수학교육학회지:수학교육학연구
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    • 제11권2호
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    • pp.257-271
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    • 2001
  • This study investigated the new revised Mathematics curriculums of elementary schools in Korea and Japan at the end of the 20th century. The comparison was made especially with revising direction, purposes, and contents of elementary school mathematics curriculum in both countries. I began by comparing and confirming the ratio of instruction hours of Mathematics to the total instruction hours of all the subjects at as whole. This comparison was done of the elementary and middle school mathematics. The next part of the study was to compare in detail the purposes of revised mathematics in elementary and middle schools of both countries. Particular attentions was paid to the important revised points of Japanese elementary school Mathematics. Finally, I concluded by comparing the contents of elementary school Mathematics of the two countries. New mathematic text books in both countries having been published by revised curriculum, puts the future task in comparing, in detail, the concrete contents of each textbook.

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중학교 수학에서 증명지도에 관한 연구 (A Note on Teaching of Proof in Middle School Mathematics)

  • 김흥기
    • 한국수학교육학회지시리즈A:수학교육
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    • 제37권1호
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    • pp.55-72
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    • 1998
  • We prove many statements in middle and high school mathematics, so it is necessary to have some method for understanding the modes of proof. But it is hard to discuss about the modes of proof without knowing logics. Venn-diagrams can be used in a great variety of situations, and it is useful to the students unfamiliar with logical procedure. Since knowing a mode of proof that could be used may still not guarantee success of proof, it is also necessary to illustrate many cases of proof strategies. To achieve the above reguirements, (1)Even though intuition, the modes of proof used in middle school mathematics should be understood by using venn-diagrams and the students can use the right proof in the right statement. (2)We must illustrate many kinds of proof so that the students can get the proof stratigies from these illustrations. (3)If possible, logic should be treated in middle school mathematics for students to understand the system of proof correctly.

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Java로 배우는 중학교 수학과 교육매체 개발 (A Development of Multimedia Materials with JAVA for Mathematics Instruction of Middle School)

  • 박달원;김승동;김응환
    • 대한수학교육학회지:학교수학
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    • 제1권1호
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    • pp.235-243
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    • 1999
  • This article is that we develop a learning materials using on the internet with JAVA in middle school mathematics. we construct the learning instruction simulation java program that students can use the applet on the internet for understanding the concepts of mathematics. We service the homepage at internet address. [http://edupark.kongiu.ac.kr]

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