거북 행동을 통한 함수 그래프 구성 = Construction of function graphs through turtle motion

참고문헌 (Reference)

1 조한혁, "컴퓨터와 수학교육" 한국수학교육학회 42 (42): 8-192, 2003

2 황혜정, "수학교육학신론" 문음사 55-59, 2007

3 김홍종, "미적분학 1" 서울대학교 출판부 2004

4 김화경, "거북 마이크로월드와 곡선" 대한수학교육학회 17 (17): 111-125, 2008

5 Cho, H., "The Qualitative Approach to Graphs of Functions in a Microworld" 15 : 129-140, 2006

6 Eisenberg, M., "Superposed turtle walks" 5 : 65-83, 2000

7 Roschelle, J., "SimCalc: Accelerating students' engagement with the mathematics of change in Innovations in science and mathematics education: Advanced designs for technologies of learning" Lawrence Erlbaum Associates 47-75, 2000

8 Rasmussen, C., "On Forms of Knowing: The Role of Bodily Activity and Tools in Mathematical Learning" 57 (57): 313-316, 2004

9 Papert, S., "Mindstorms: Children, computers, and powerful ideas" Perseus Publishing 1980

10 Cho, H., "Mediating model between LOGO and DGS for planar curves" 31 : 2007

11 Kynigos,C., "Meanings around intrinsic curves with a medium for symbolic expression and dynamic manipulation" 2000

12 Noble, T., "Making a Circle: Tool Use and the Spaces Where We Live" 24 (24): 387-437, 2006

13 김화경, "LOGO와 DGS 매개 모델과 오류 사례" 대한수학교육학회 17 (17): 111-125, 2007

14 Nemirovsky, R., "Introduction, PME Special Issue: Bodily activity and imagination in mathematics learning" 57 (57): 303-305, 2004

15 Schnepp, M., "Incorporating experiences of motion into a calculus classroom, PME Special Issue: Bodily activity and imagination in mathematics learning" 57 (57): 309-313, 2004

16 Dennis, D., "Historical Perspectives for the Reform of Mathematical Curriculum: Geometric curve drawing devices and their role in the transition to an algebraic description of function, A Dissertation Presented to the Faculty of the Graduate School of Cornell University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy"

17 Simpson, G., "Exploring the mathematics of motion through construction and collaboration" 22 : 114-136, 2006

18 Cho, H., "Designing a Microworld for Mathematical Creative and Gifted Students" 2004

19 Foltynowicz, I., "Cycloids and limacons in the turtle graphics" 586-606, 2007

20 Arzarello, F., "Approaching functions through motion experiments, PME Special Issue: Bodily activity and imagination in mathematics learning" 57 (57): 305-308, 2004

21 Armon, U., "An algorithm that translates intrinsic equations of curves into intrinsic procedures of these" 30 (30): 833-854, 1999

22 김화경, "'컴퓨터와 수학교육' 학습-지도 환경에 관한 연구" 서울대학교 교육학 2006