증명학습에 대한 학생들의 성향과 GSP를 활용한 증명학습

목차 (Table of Contents)

• 초록
• I. 서론
• II. 이론적 배경 및 선행 연구
• III. 연구 방법
• IV. 연구의 결과
• 1. 사전 학생 설문조사 결과
• 2. 사후 학생 설문조사 결과
• 3. 사후 지필 검사와 학습과제 평가 결과
• V. 결론
• 참고문헌
• Abstract

참고문헌 (Reference)

1 류성림, "피아제의 균형화 모델에 의한 증명의 지도 방법 탐" 한국교원대학교 1998

2 류희찬, "증명의 필요성 이해와 탐구형 기하 소프트웨어의 활용, 수학교육학연구" 9 (9): 419-438, 1999

3 나귀수, "증명의 본질과 지도 실제의 분석-중학교 기하단원을 중심으로" 서울대학교 1998

4 우정호, "증명 지도의 재음미" 4 (4): 3-24, 1994

5 서동엽, "중학교 학생의 증명 능력 분석, 수학교육학연구" 9 (9): 183-203, 1999

6 Usiskin,Z., "van Hiele levels and achievement in secondary school geometry" University of Chicago 1982

7 Crowley, M. L., "The van Hiele model of the development of geometric thought in : Learning and teaching geometry" NCTM 1-16, 1987

8 van Hiele P.M., "The child's thought and geometry in : English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hieles" Booklyn College 243-252, 1984

9 Jackiw,N., "The Geometer's Sketchpad (Version 4.0) [Computer software]"

10 Connell, M. L., "Technology in constructivist mathematics classrooms" 17 (17): 311-338, 1998

11 de Villiers, M., "Rethinking proof with the Geometer's Sketchpad" Key Curriculum Press 1999

12 Kahan,J., "Relationships among mathematical proof, high-school students, and a reform curriculum. Doctoral dissertation, University of Mayland"

13 Marrades, R., "Proofs produced by secondary school students learning geometry in a dynamic computer environment" 44 : 87-125, 2000

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

15 Fennema, E., "Learning mathematics with understanding: Cognitively guided instruction in : Advances in research on teaching" JAI Press 195-221, 1989

16 Simon, M., "Justification in the mathematics classroom: A study of prospective elementary teachers" 15 : 3-31, 1996

17 Tall, D. O., "Intuition and rigor: The role of visualization in the calculus in : Visualization in teaching and learning mathematics" MAA Notes Series #19 105-119, 1991

18 Senk, S. L., "How well do students write geometry proofs" 78 (78): 448-456, 1985

19 Chazan,D., "High school geometry students' justification for their views of empirical evidence and mathematical proof" 24 : 359-387, 1993

20 Scher,D., "Folded paper, dynamic geometry, and proof: A three-tier approach to the conics" 89 (89): 188-193, 1996

21 Edwards,L., "Exploring the territory before proof: Students' generalizations in a computer microworld for transformation geometry" 2 : 187-215, 1997

22 Bennett, D., "Exploring geometry with the Geometer's Sketchpad" Key Curriculum Press 2002

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

24 Reys, R., "Assessing the impact of standards-based middle grades mathematics curriculum materials on the student achievement" 34 (34): 74-95, 2003

25 Galindo, E., "Assessing justification and proof in geometry classes taught using dynamic software" 91 (91): 76-81, 1998

26 Laborde,C, "A new generation of diagrams in dynamic geometry software. Paper presented at the 18th conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Panama City, FL"