미국의 수학교육과정 규준 CCSSM의 수학적 실천에 대한 고찰 = Study on the Standards for Mathematical Practice of Common Core State Standards for Mathematics

다국어 초록 (Multilingual Abstract)

Common Core State Standards for Mathematics(CCSSM) is a blueprint for school mathematics in 2010s of the United States. CCSSM can be divided into two major parts, the standards for mathematical content and the standards for mathematical practice. This study focused on the latter.
Mathematical practice comes from the mathematical process in 'Principles and standards for school mathematics(NCTM, 2000)' as well as the mathematical proficiency in 'Adding it up(NRC, 2001)'. It is composed of eight standards which mathematically proficient students are expected to do. From Korean perspective, it can also be comparable with the mathematical process which contains mathematical problem solving, mathematical reasoning, and mathematical communication and was provided by the 2009 revised national curriculum for mathematics in Korea.
However, few focused the standards for mathematical practice among the studies related to CCSSM in Korea. Moreover, there is a study that even ignores the existence of the standards for mathematical practice itself.
This study aims to understand the standards for mathematical practice through analysing the document of CCSSM and its successive materials for implementing the CCSSM. This understanding will help effective implementation of the mathematical process in Korea.

국문 초록 (Abstract)

미국의 수학교육과정 규준인 Common Core State Standards for Mathematics(CCSSM)은 이전의 규준에 비해 구별되는 특징을 지녔고, 특히 ‘수학적 실천’ 규준 8가지는 ‘수학적 내용’ 규준에 버금가는 주요 요소로서 각 학년의 지도 내용과 함께 매번 제시되면서 강조되고 있다. 그 구체적인 내용 설명이나 내용 규준 전체에 걸쳐 지도되어야 한다는 특징 등으로 볼 때 우리나라 2009 개정 수학과 교육과정의 신설 요소인 ‘수학적 과정’에 비견될 성질의 것이다. 그러나 CCSSM에 대한 우리나라의 선행 연구는 주로 내용 규준의 변화 및 비교에 초점이 있거나 심지어 과정 규준의 존재 자체를 간과하는 경우도 있다. 이에 본 연구는 CCSSM 및 그 적용의 확장을 위해 마련된 여러 가지 후속 자료를 수집하고 분석하여, 수학적 실천의 의미를 이해하는 데 목적이 있다. 나아가 수학적 과정과의 비교를 통해 우리나라 수학과 교육과정에 보강되어야 할 과정적 측면에 대한 검토와 더불어 수학적 과정을 효과적으로 적용하기 위한 방법에 대한 논의를 포함할 것이다.

참고문헌 (Reference)

1 교육과학기술부, "수학과 교육과정"

2 교육과학기술부, "수학 2-1" (주)천재교육 2012

3 김영옥, "미국 Common Core State Standards for Mathematics 소개" 영남수학회 27 (27): 471-483, 2011

4 김영옥, "미국 Common Core State Standards for Mathematics 소개" 영남수학회 27 (27): 471-483, 2011

5 Mathematics Common Core Coalition, "http://www.mathccc.org"

6 Kanold, T.D, "What principals need to know about teaching and learning mathematics" Solution tree press 2012

7 Reys, B.J, "The intended mathematics curriculum as represented in state-level curriculum standards-consensus or confusion?, Research in mathematics education series" 2006

8 Fennell, F.M, "The common core state standards from transition to implementation"

9 Larson, M, "The Common Core State Standards for Mathematics: Will They Matter Ten Years From Now?"

10 Technical Education Research Centers, "Standards for Mathematical Practice in Investigations in Number, Data, and Space"

11 Confrey, J, "Required elements in transformative implementation of common core standards in mathematics and new assessments prior to 2014-5"

12 National Council of Teachers of Mathematics, "Principles and standards for school mathematics"

13 Education First & EPE Research Center, "Preparing for change: a national perspective on Common Core State Standards implementation planning"

14 Public Law, "No Child Left Behind Act of 2001"

15 Technical Education Research Centers, "Investigations in number, data, and space"

16 National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics"

17 Center for the Study of Mathematics Curriculum, "Curriculum Design, Development, and Implementation in an Era of Common Core State Standards"

18 Wiggins, G, "Common-core math standards: They don't add up"

19 Education Week, "Common-Core standards drew on ideas from abroad"

20 이광호, "Common core state standards for mathematics 소개" 38 : 717-726, 2010

21 Inside Mathematics, "Common core standards"

22 Common Core State Standards Initiative, "Common Core State Standards for Mathematics(CCSSM)"

23 Common Core State Standards Initiative, "Common Core State Standards Initiative(CCSSI:2010a)"

24 Dacey, L, "CCSSM: the big picture" 18 (18): 378-383, 2012

25 Russell, S.J, "CCSSM: Keeping teaching and learning strong" 19 (19): 50-56, 2012

26 White, J, "CCSSM: Getting started in K-Grade 2" 18 (18): 2012

27 National Council of Teachers of Mathematics, "Administrator's guide: interpreting the common core state standards to improve mathematics education"

28 National Research Council, "Adding it up: helping children learn mathematics" National Academy Press 2001

29 Heck, D.J, "A priority research agenda for understanding the influence of the common core state standards for mathematics: Technical report" Horizon Research, Inc 2011

30 Heck, D.J, "A priority research agenda for understanding the influence of the common core state standards for mathematics" Horizon Research, Inc 2011

31 U.S. Department of Education, "A blueprint for reform : the reauthorization of the elementary and secondary education act"

32 한국과학창의재단, "2009 개정 교육과정에 따른 수학과 교육과정 연구" 2011

33 박경미, "'학년군'과 '수학적 과정'을 중심으로 한 외국 수학과 교육과정의 최근 경향 비교 · 분석" 대한수학교육학회 12 (12): 667-686, 2010