[논문]중학교 수학과 교육과정 수와 연산 영역의 재구조화 연구

서보억

doi:10.7468/mathedu.2020.59.2.167

중학교 수학과 교육과정 수와 연산 영역의 재구조화 연구
A study on restructuring of 'Number and operations area' in middle school mathematics curriculum 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.59 no.2, 2020년, pp.167 - 183

서보억 (충남대학교)

초록
AI-Helper

본 연구는 중학교 수학과 교육과정의 수와 연산 영역의 시대적 변천 과정을 분석하고, 그 결과를 바탕으로 수와 연산 영역에서 수학 학습내용의 재구조화 방향 제시를 위한 문헌 연구이다. 이를 위해 1차 중학교 수학과 교육과정부터 2015개정 중학교 수학과 교육과정까지 제시된 수와 연산 영역의 내용을 고찰하였고, 이를 바탕으로 수와 연산 영역의 수학 학습내용에 대한 분석을 실시하였다. 먼저 비교 분석의 기준을 3차 중학교 수학과 교육과정으로 설정하였고, 분석을 위한 수학 학습내용으로 내용요소와 학습요소로 세분화하여 기본 분석틀을 개발하였다. 최종적으로는 이러한 기본 분석틀을 기초로 수와 연산 영역의 핵심 이슈가 되는 수학 학습내용을 추출하여, 추출된 수학 학습내용에 대해 세계 여러 나라 교육과정에서 다루고 있는 현황을 비교 분석하였다. 최종적으로 본 연구를 통해 중학교 수와 연산 영역에 대한 새로운 교육과정 개발에 유의미한 재구조화 방향을 제시하였다. 본 연구의 결과가 새로운 교육과정 개발의 토대가 될 것으로 기대된다.

Abstract ▼ AI-Helper

This study is an analysis study on the number and operation area of middle school mathematics curriculum. This study is a literature analysis study that analyzes the historical transition process of number and operation area, and suggests the restructuring direction of mathematics learning contents for numbers and operation areas based on the results. In order to achieve this research purpose, the contents of the number and operation areas suggested from the 1st middle school mathematics curriculum to the 2015 revised middle school mathematics curriculum were considered. In addition, in this study, analysis of the mathematical learning contents of number and operation area was conducted. The details of the study are as follows. First, it was decided as a tertiary mathematics curriculum as a criterion for analysis. Second, a basic analysis framework was developed by subdividing the content of mathematics learning into content elements and terminology elements. Third, on the basis of the developed analysis framework, mathematics learning contents that are the core issues of number and operation area were extracted. Fourth, the extracted mathematics learning contents were compared with foreign curriculum. Finally, based on the analysis results, the direction of restructuring for the number and operation area of middle school was suggested. The results of this study are expected to be the basis for the development of a new curriculum.

주제어

표/그림 (9)

그림 [Fig. 1] 2015Revised Math Curriculum System
표 [Table 1] Characteristics by change process
표 [Table 2] Learning content in number and operations
표 [Table 3] Framework for analyzing content & term
표 [Table 5] Changes in terminology related to the 'The nature of natural number'
표 [Table 4] Changes in content elements related to he 'The nature of natural number'
표 [Table 6] Changes in content elements related to he 'The nature of real number'
표 [Table 7] Changes in terminology related to the 'The nature of real number'
표 [Table 8] Status of 'Number and operations' by country

참고문헌 (43)

Bang, I. (2018). The Zhouyi and artificial intelligence, Journal of Korean Philosophical Society 145, 91-117

상세보기
Boyer, C. B. & Merzbach, U. C. (1991). A history of mathematics, John Wiley & Sons, Inc.
Choi, S. L. (2003). A study on the analysis of negative interger concepts, Communications of Mathematics Education 15, 175-180.
Common Core State Standards Initiative (2014). Common core state standards for mathematics. http://www.corestandards.org/math(Date: 2020.1.10.).
Department of Education U.K. (2013). Mathematics programme of study for key stage 1,2,3,4. Department of Education United Kingdom.
Eves, H. (1990). An introduction to the history of mathematics, Saunders College Publications.
Finnish National Board of Education (2016). National core curriculum for upper secondary school 2016.
Gullberg, J. (1997). Mathematics from the birth of numbers, New York: W. W. Norton & Company.
Han, H. J. (2009). Yin-Yang and spirits in the teaching of Zhu Xi, Korean Studies 14, 551-585.
Jang, J. H., & Kim, J. W. (2015). The study on the development of the educational contents for the natural number binary system, Journal of The Korean Association of Information Education 19(4), 525-532

원문보기 상세보기
Jung, H. Y., Lee, K. H. (2016). Analysis of mathematics textbooks before and after the curriculum revision in 2012 of the North Korea: Focused on the 1st grade of middle school, School Mathematics 18(1), 143-157.
Kim, J. H., & Cho, J. K. (2017). A study on the phenomena of using initial sounds based on deconstruction and imaging of letters, Journal of the Korean Society Design Culture 23(4), 235-245
Korea Britannica Corporation (2007). Britannica encyclopedia CD IX, Encyclopædia Britannica, Inc.
Korea Foundation for the Advancement of Science and Creativity (2011). A study on the curriculum of mathematics according to the 2009 revised curriculum, Seoul: KFASC
Laurinolli, T, Lindroos-Heinanen, R., Luoma-aho, E., Timo sankilampi, Selenius, R., Talvitie, K., & Vaha-Vahe, O. (2014). Finnish middle school mathematics textbook Laskutaito 7, Seoul: Solbich gil.
Lee, K. H., Park, K. M., & Lim, J. H. (2002). A critical review on the concept of set as a school mathematics topic, The Journal of Educational Research in Mathematics 12(1), 125-143,
Lee, M. K. (2001). Proposals on teaching the set theory in secondary school, The Journal of Educational Research in Mathematics 11(1), 103-111,
Ministry Of Education & Human Resources Development (2006). 2007 Reformed mathematics curriculum, Seoul: MEHRD.
Ministry of Education (2015). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1955). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1963). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1974a). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1974b). Explanation of mathematics curriculum. Seoul: ME.
Ministry Of Education (1981). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1987). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1994). Mathematics curriculum. Seoul: ME.
Ministry Of Education (1997). Mathematics curriculum, Seoul: ME.
Ministry of Education, Science, and Technology (2011). Mathematics curriculum, Seoul: MEST.
National Institute of the Korean Language (2001). Standard Korean dictionary, Seoul: Doosan Donga.
Park, K. M., Kwon, O. N., Park, S. H., Park, M. G., Phen, H. H., Kang, E. J., ..., Kim. S. H. (2014). A research on humanities and nature integrated mathematics curriculum restructuring, Seoul: ME.
Park, M. J. (2010). The Study of Approximate value in mathematics, Graduate School of Education Yeungnam University.
Park. H. S. (1991). Korea mathematical education history, Chungbuk: Korea Textbook Corporation.
Suh, B. E (2013). Investigation on middle school mathematics and curriculum for teachers, Seoul: KyoWooSa.
Suh, B. E. (2015). A Comparative study on 2011 reformed elementary school mathematics curriculum between Korea and China, Education of Primary School Mathematics 18(1), 1-16.

원문보기 상세보기
Suh, B. E. (2018). A study on reorganization of 'Pythagorean theorem' in school mathematics, The Mathematical Education 57(2), 93-110.
Suh, B. E. (2019). The study on the movement of mathematics contents among school Levels, East Asian mathematical journal 35(4), 365-386.
Suh, B. E. (2020). A comparative study on the similar learning contents between elementary and middle cchools in geometry, Education of Primary School Mathematics 23(1), 27-44.
Suh, B. E., Kim, N. K., Do, J. H., Park, Y. B., Kim, K. T., Park, Y. K., & Choi, I. Y. (2018). A study on the transition of mathematics curriculum. Korea Science and Engineering Foundation Research Report.
The Ministry Of Education of the China (2011). Compulsory education mathematics standard: 2011 edition, Beijing: The Ministry of Education of the People's Republic of China.
The Ministry Of Education of the Japan (2008). Middle school learning guidance, Tokyo: The Ministry of Education of the Japan.
The Ministry Of Education of the Japan (2009). High school learning guidance, Tokyo: The Ministry of Education of the Japan.
Yim, J. H. (2003). A study on the teaching 'Approximate value' in secondary school, Journal of Educational Research in Mathematics 13(1), 77-94.
Zeitz, P. (1999). The art and craft of problem solving, New York: John wiley & Sons, Inc.

표제어: PCR

동의어: Packet Collision Rate

용어 설명 출처 목록 (6)

용어 설명: PCR은 세균 특이성이 있는 primer를 이용하여 적은 수의 세균이 있을지라도 쉽게 검출할 수 있는 유용한 방법이며, 이를 이용하여 구강 내 치면세균막이나 타액에서 직접 세균을 검출할 수 있게 되었다[8].

내보내기 구분	파일저장 인쇄 메일전송
구성항목	기본정보 상세정보 관리번호, 논문명, 저널/프로시딩명, 저자 , 발행년, 권, 호, 시작페이지, 끝페이지, 발행기관 관리번호, 논문명, 대등논문명, 저자 , 저널/프로시딩명, 발행기관, 발행년, 발행언어, 권, 호, 시작페이지, 끝페이지, ISBN, ISSN, 주제분야, 키워드, 초록(한글), 초록(영문), 저자(소속기관)
저장형식	Text(ASCII format) Excel format RefWorks Direct Export RIS format (for Reference Manager, ProCite, EndNote), Scholar's Aids, Mendeley
메일정보	받는사람 (필수) @ 보내는사람 (선택) @ 제목 내용 KISTI 검색결과 이메일 서비스
안내	총 건의 자료가 검색되었습니다. 다운받으실 자료의 인덱스를 입력하세요. (1-10,000) 검색결과의 순서대로 최대 10,000건 까지 다운로드가 가능합니다. 데이타가 많을 경우 속도가 느려질 수 있습니다.(최대 2~3분 소요) 다운로드 파일은 UTF-8 형태로 저장됩니다. 파일의 내용이 제대로 보이지 않을실 때는 웹브라우저 상단의 보기 -> 인코딩 -> 자동선택 여부를 확인하십시오. ~ Text(ASCII format) Excel format

연합인증