References
- 김남희, 나귀수, 박경미, 이경화, 정영옥, 홍진곤(2006). 수학교육과정과 교재연구. 서울: 경문사.
- 류희찬(2004). 수학교육에서 탐구형 소프트웨어의 활용방안. 청람수학교육, 14, 1-15. 한국교육대학교 수학교육연구소.
- 이광상, 조민식, 류희찬(2006). 엑셀의 활용이 일차함수 문제해결에 미치는 효과. 학교수학, 8(3), 265-290.
- Bannister, V. R. P. (2014). Flexible conceptions of perspectives and representations: an examination of pre-service mathematics teachers' knowledge. International Journal of Education in Mathematics, Science and Technology, 2(3), 223-233.
- Blume, G. W. & Heckman, D. S. (1997). What do students know about algebra and function? In P. Kenney & E. Silver (Eds.), Results from the sixth mathematics assessment of the National Assessment of Educational Progress (pp. 225-277). Reston, VA: NCTM.
- Dubinsky, E. & Harel, G. (1992). The nature of process of function. In E. Dubinsky, & G. Harel(Eds.), The concept of function: Aspects of epistemology and pedagogy (MAA Notes No. 25, pp. 85-106). Washington, DC: Mathematical Association of America.
- Eisenberg, T. (1992). On the development of a sense for functions. In G. Harel & E. Dubinsky (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 153-174). Mathematical Association of America.
- Eisenberg, T. & Dreyfus, T. (1994). On understanding how students learn to visualize function transformations. Research on Collegiate Mathematics Education, 1, 45-68.
- Even, R. (1998). Factors involved in linking representations of functions. Journal of Mathematical Behavior, 17(1), 105-121. https://doi.org/10.1016/S0732-3123(99)80063-7
- Friedlender, A. & Tabach, M. (2001). Promoting multiple representation in algebra, In A. A. Cuoco (Ed.), The roles of representation in school mathematics. Reston, VA: NCTM.
- Goldin, G. A. (1987). Cognitive representational systems for mathematical problem solving. In Claude Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 125-146). Hillsdale, New Jersey: Lawrence Erlbaum Associates.
- Hitt, F. (1998). Difficulties in the articulation of different representations linked to the concept of function. The Journal of Mathematical Behavior, 17(1), 123-134. https://doi.org/10.1016/S0732-3123(99)80064-9
- Janvier, C. (1987). Problems of representation in the teaching and learning of mathematics. Hillsdale, NJ: Erlbaum.
- Kleiner, I. (1989). Evolution of the function concept: A brief survey. College Mathematics Journal, 20, 282-300. https://doi.org/10.2307/2686848
- Lamon, S. J. (2001). Presenting and representing: From fractions to rational numbers. In A. Cuoco (Ed.), The roles of representation in school mathematics. 2001 Yearbook of the National Council of Teachers of Mathematics (pp. 41-52). Reston, VA: National Council of Teachers of Mathematics.
- Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In Claude Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33-40). Hillsdale, New Jersey: Lawrence Erlbaum Associates.
- Maria T. & Rafael M. P. (2010). Geometrical representations in the learning of two-variable functions. Educational Studies in Mathematics, 3-19.
- Maria, M. D. & Vanessa, S. T. (2012). The role of visual representations for structuring classroom mathematical activity. Educational Studies in Mathematics, 80(3), 413-431. https://doi.org/10.1007/s10649-011-9358-6
- Monk, G. S. (1988). Students' understanding of functions in calculus courses. Humanistic Mathematics Network Newsletter, 2.
- Monk, S. & Nemirovsky, R. (1994). The case of Dan: Student construction of a functional situation through visual attributes. CBMS Issues in Mathematics Education, 4, 139-168.
- Moschkovich, J., Schoenfeld, A., & Arcavi, A. (1993). Aspects of understanding: On multiple perspectives and representations of linear relations and connections among them. In T. Romberg, E. Fennema, & T. Carpenter (Eds.), Integrating research on the graphical representation of function (pp. 69-100). Hillsdale, NJ: Lawrence Erlbaum Associates.
- Romberg, T., Fennema, E., & Carpenter, T. (1993). Toward a common research perspective. In T. Romberg, E. Fennema & T. Carpenter (Eds.), Integrating research on the graphical representation of function. Hillsdale, NJ: Lawrence Erlbaum Associates.
- Sierpinska, A. (1992). On understanding the notion of function. The concept of function: Aspects of epistemology and pedagogy, 25, 23-58.
- Selden, A. & Selden, J. (1992). Research perspectives on conceptions of fuction summary and overview. In E. Dubinsky, & G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (MAA Notes No. 25, pp. 133-150). Washington, DC: Mathematical Association of America.
- Yavuz, I. (2010). What does a graphical representation mean for students at the beginning of function teaching? International journal of mathematical education in science and technology, 41(4), 467-485. https://doi.org/10.1080/00207390903477442
- Yerushalmy, M. & Schwartz, J. (1993). Seizing the opportunity to make algebra mathematically and pedagogically interesting. In T. Romberg, E. Fennema, & T. Carpenter (Eds.), Integrating research on the graphical representation of function (pp. 69-100). Hillsdale, NJ: Lawrence Erlbaum Associates.
- Yerushalmy, M. & Swidan, O. (2012). Signifying the accumulation graph in dynamic and multi-representation environment. Educational Studies Mathematics, 80, 287-306. https://doi.org/10.1007/s10649-011-9356-8