유리수 개념에 대한 대학생들의 이해와 추론

목차 (Table of Contents)

• 요약
• I. 서론
• II. 분수， 비， 비율 그리고 유리수
• III. 도구와 방법
• IV. 결과 분석
• V. 결론
• 참고문헌
• Abstract

참고문헌 (Reference)

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2 Cramer, K., "Using manipulative models to build number sense for addition of fractions. in: Making sense of fractions, ratios, and proportions" NCTM 41-48, 2002

3 Thompson, R., "Using literature as a vehicle to explore proportional reasoning. in: Making sense of fractions, ratios, and proportions" NCTM 130-137, 2002

4 Towsley, A., "The use of conceptual and procedural knowledge in the learning of concepts and multiplication of fractions in grades 4 and 5" University of Michigan 1989

5 Smith, J. P. III, "The development of students' knowledge of fractions and ratios. in: Making sense of fractions, ratios, and proportions" NCTM 3-17, 2002

6 Kamii, C., "Teaching fractions: Fostering children's own reasoning. in: Developing mathematical reasoning in grade K-12" NCTM 82-92, 1999

7 Bezuk, N., "Teaching about fractions: What, when, and how?. in: New directions for elementary school mathematics" NCTM 156-167, 1989

8 Behr, M. J., "Rational number, ratio, and proportion. in: Handbook of research on mathematics teaching and learning" Macmillan 296-333, 1992

9 National Council of Teachers Mathematics, "Principles and standards for school mathematics" NCTM 2000

10 Kieren, T. E., "Personal knowledge of rational numbers: Its intuitive and formal development. in: Number concepts and operations in the middle grades" Lawrence Erlhaum Associates 162-181, 1988

11 Ball, D. L., "Magical hope: Manipulatives and the reform of math education" 16 : 14-18, 1992

12 Cramer, K., "Initial fraction learning by fourth- and fifth-grade students: A comparison of the effects of using commercial curricula with the effects of using the rational number project curriculum" 33 : 111-144, 2002

13 Huinker, D., "Examining dimensions of fraction operation sense. in: Making sense of fractions, ratios, and proportions" NCTM 72-78, 2002

14 National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics" NCTM 1989

15 Carpenter, T. P., "Conceptual knowledge as a foundation for procedural knowledge. in: Conceptual and procedural knowledge: The case of mathematics" Lawrence Erlbaum Associates 113-132, 1986