참고문헌
- 김진호, 김용대, 서보억(2011). 3대 작도 문제 해결을 위한 곡선과 기구. 서울: 교우사.
- 김향숙, 박진석, 도석수, 윤삼열, 김영미, 이세룡, 정성곤, 배옥향, 이혜경, 박혜정(2007). 창의성 신장을 위한 문제일반화. 서울: 경문사.
- 남선주(2006). 역동적 기하 환경에서 분석법을 활용한 증명학습에 관한 연구. 한국교원대학교 대학원 석사학위 논문.
- 류희찬(2004). 수학교육에서 탐구형 소프트웨어의 활용과 의미. 청람수학교육, 14, 1-15.
- 류희찬, 윤옥교(2013). 역동적 기하 환경에서 비례를 이용한 중학교 함수의 작도. 학교수학 13(1), 19-36.
- 류희찬, 제수연(2009). 역동적 기하 환경에서 파푸스의 분석법을 이용한 이차곡선의 작도활동에서 나타난 학생들의 수학적 발견과 정당화. 한국교원대학교 교육연구원, 25(4), 168-189.
- 유윤재(2010). 수학영재교육. 서울: 교우사.
- 윤옥교(2014). 역동적 기하 환경에서 비례에 기반한 함수와 이차방정식 작도 문제 해결 과정 연구. 한국교원대학교 박사학위논문.
- 장혜원(1997). 중학교 기하 영역 중 작도 단원에 관한 고찰. 대한수학교육학회 논문집 7(2), 327-336.
- 조정수, 이은숙(2013), 역동기하 환경에서 "끌기(Dragging)"의 역할에 대한 고찰, 학교수학 15(2), 481-501.
- 진만영, 김동원, 송민호, 조한혁(2012). 원뿔곡선의 수학사와 수학교육. 한국수학사학회지. 25(4), 83-99.
- Arzarello, F., Olivero, F., Paola, D., & Robutti, O.(2002). A Cognitive Analysis of Dragging Practices in Cabri Environments. ZDM, 34(3), 66-72.
- Baccaglini-Frank, A., Mariotti, M. A., & Antonini, S.(2009). Different perceptions of invariants and generality of proof in dynamic geometry. Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, 2, 89-96.
- Baccaglini-Frank, A. & Mariotti, M.A.,(2010). GeneratingConjectures through Dragging in DynamicGeometry: the Maintaining Dragging Model.International Journal of Computers forMathematical Learning 15(3), 225-253. https://doi.org/10.1007/s10758-010-9169-3
- Drijvers, P., Kieran, C., Mariotti, M. A., Ainley, J., Andresen, M., Chan, Y. C., Dana-Picard, T., Gueudet, G., Kidron, I., Leung, A., & Meagher, M.(2010). Integrating technology into mathematics education : Theoretical perspectives. In C. Hoyles & JB. Lagrange (Eds.), Mathematics education and technology-Rethinking the terrain. pp. 89-132. New York: Springer.
- Falcaede, R., Laborde, C., & Mariotti, M. A.(2007). Approaching functions; Cabri tools as instruments of semiotic mediation. Educational Studies in Mathematics, 66(3), 317-333. https://doi.org/10.1007/s10649-006-9072-y
- Jones, K.(2000). Providing a foundation for deductive reasoning: Students' interpreations when using dynamic geometry software and their evolving mathematical explanations. Educational Studies in Mathematics, 44(1), 55-85. https://doi.org/10.1023/A:1012789201736
- Laborde, C.(2003). Technology used as a tool for mediating knowledge in the teaching of mathematics: The case of Cabri-geometry. In W.-C. Yang, S. C. Chu, T. de Alwis, & M. G. Lee (Eds.), Proceedings of the 8th Asian Technology Conference in Mathematics(1), 23-38.
- Laborde, C., & Laborde, J. M. (1995). What about a learning environment where Euclidean concepts are manipulated with a mouse? In A. di Sessa, C. Hoyles, R. Noss (Eds.), Computers and exploratory learning. 241-262.
- Leung, A.(2008). Dragging in a dynamic geometry environment through the lens of variation. International Journal of Computers for Mathematical Learning, 13, 135-157. https://doi.org/10.1007/s10758-008-9130-x
- Leung, A.(2012). Discernment and reasoning in dynamic geometry environments. Paper presented at the 12th International Congress on Mathematical Education, Seoul, Korea.
- Leung, A., Baccaglini-Frank, A., Mariotti, M. A.(2013). Discernment of invariants in dynamic geometry environments. Educational Studies in Mathematics, 84(3). 439-460. https://doi.org/10.1007/s10649-013-9492-4
- Marrades, R., & Gutierrez, A.(2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational studies in mathematics, 44(1-2), 87-125. https://doi.org/10.1023/A:1012785106627
- Olivero, F. (2002). The proving process within a dynamic geometry environment. Doctoral thesis. Bristol: University of Bristol.
- Tall, D.(1995). Cognitive developments, representations and proof. Paper presented at the conference Justifying and Proving in School Mathematics, Institute of Education, London, pp. 27-38.
- Weisberg, R. W. (2006). Creativity: Understanding Innovation in Problem Solving, Science, Invention, and the Arts. NJ: John Wiley & Sons. (김미선 역). 서울: 시그마프레스.