초등학교 4학년 학생들의 대수적 사고 분석 = An analysis of algebraic thinking of fourth-grade elementary school students

참고문헌 (Reference)

1 우정호, "학교수학의 교육적 기초" 서울대학교 출판부 1998

2 김성준, "패턴과 일반화를 강조한 대수 접근법 고찰" 5 (5): 343-360, 2003

3 교육인적자원부, "초등학교 교육과정 해설(IV)" 대한 교과서 주식회사 1999

4 교육부, "초등학교 교사용 지도서,수학4-나" 대한교과서주식회사 2001

5 교육인적자원부, "초등학교 교사용 지도서 수학4-가" 대한 교과서 주식회사 2001

6 교육부, "수학과 교육과정 [별책8] (고시 제2007-79호)" 대한교과서주식회사 2007

7 김성준, "대수의 사고 요소 분석 및 학습-지도 방향 탐색" 서울대학교 2004

8 김성준, "대수 교육과정의 변화에 관한 고찰: 패턴에 기초한 대수 고입을 중심으로, 한국수학교육학회 시리즈 D" 12 (12): 353-369, 2002

9 방정숙, "교실문화 비교를 통한 수학교육 개혁에 관한 소고,한국수학교육학회 시리즈 D" 11 (11): 11-35, 2001

10 Steele, D. F., "Using schemas to develop algebraic thinking" 11 (11): 40-46, 2005

11 Carpenter, T. P., "Thinking mathematically: Integrating arithmetic and algebra in elementary school" Heinemann 2003

12 Soares, J., "Thinking algebraically across the elementary school curriculum" 12 (12): 228-235, 2006

13 Boulton-Lewis, G. M., "The transition from arithmetic to algebra: a cognitive perspective" 185-192, 1997

14 Lodhodlz, R., "The transition from arithmetic to algebra in Algebraic thinking, grades K-12" NCTM 52-58, 1999

15 Kieran, C., "The changing face of school algebra? Presented in ICME-8 Congress in Spain"

16 Smith, E., "Stasis and change: Integrating patterns, functions, and algebra throughout the K-12 Curriculum in Research Companion to Principles and Standards for School Mathematics" National Council of Teachers of Mathematics 136-150, 2003

17 Amerom, "Reinvention of early algebra" Freudenthal Institute 2002

18 Merriam, S. B., "Qualitative research and case study applications in education" Jossey-bass 1998

19 National Council of Teachers of Mathematics, "Principles and standards for school mathematics" Author 2000

20 Kieran, C., "Prealgebra: The Transition from Arithmetic to Algebra in Algebraic Thinking, Grades K-12" NCTM 59-70, 1999

21 Jacobs, V. R., "Mathematical thinking: Helping prospective and practicing teachers focus" 11 (11): 194-201, 2004

22 Wickett, M., "Lessons for Algebraic Thinking. Grades 3-5" Math Solutions Publications 2002

23 Friedlander, A., "Developing a curriculum of beginning algebra in a spreadsheet environment" The University of Melbourne 252-257, 2001

24 Falkner, K. P., "Children's understanding of equality: A foundation for algebra in Putting research into practice in the elementary graeds: Readings from journals of the National Council of Teachers of Mathematics" The National Council of Teachers of Mathematics 202-207, 2002

25 Kaput, J., "Characterizing a classroom practice that promote algebraic reasoning" 36 (36): 412-446, 2005

26 Yin, R. K., "Case study research: Design and methods" SAGE 2002

27 Kaput, J., "Algebrafying the elementary mathematics experience Part Ⅰ: Transforming task structures" The University of Melbourne 344-351, 2001

28 Linchevski, L., "Algebra with numbers and arithmetic with letters: a definition of pre-algebra" 14 (14): 113-120, 1995