References
- 교육부 (2015a). 수학 4-2. 서울: 천재교육.(Ministry of Education (2015a). Elementary mathematics 4-2. Seoul: Chunjae Education.)
- 교육부 (2015b). 수학 6-2. 서울: 천재교육.(Ministry of Education (2015a). Elementary mathematics 6-2. Seoul: Chunjae Education.)
- 김정원 (2014). 초등학교 학생들의 함수적 사고의 특징 및 지도방향 탐색. 한국교원대학교 박사학위 논문.(Kim, J. W. (2014). An Investigation of the characteristics and instructional implications of functional thinking for elementary school students. Doctoral dissertation in Korea National University of Education.)
- 최지영, 방정숙(2012). 초등학교 2, 4, 6학년 학생들의 함수적 관계 이해 실태 조사. 학교수학, 14(3), 275-296.(Choi, J. Y. & Pang, J. S. (2012). An analysis of elementary school students' understanding of functional relationships. School Mathematics, 14(3). 275-296.)
- Barbara, M. Brizuela., & Susanna, Lara-Roth. (2002). Additive relations and function tables. Journal of Mathematical Behavior, 20(2002). 309-319.
- Bell, M., Bretzlauf, J., Dillard, A., Hartfield, R., Isaacs, A., MeBride, J., et al. (2007). Everyday mathematics 5-2 (3rd ed). Chicago: Wright Group.
- Billings(2008). Exploring generalization through pictorial growth patterns. In C. E. Greenes, & R. Rubenstein (Eds.), Algebra and algebraic thinking in school mathematics (pp. 279-293). Reston, VA: National Council of Teachers of Mathematics.
- Blanton, M. L. (2008). Algebra and the elementary classroom: Transforming thinking, transforming practice. Portsmouth, NH: Heinemann.
- Blanton, M. L., & Kaput, J. J. (2005). Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education, 36(5), 412-446.
- Blanton, M. L., & Kaput, J. J. (2011). Functional thinking as a route into algebra in the elementary grades. In J. Cai & E. Knuth (Eds.), Early algebraization: A global dialogue from multiple perspectives (pp. 5-23). Heidelberg: Springer.
- Blanton, M., Levi, L., Crites, T., & Dougherty, B. J. (2011). Developing essential understanding of algebraic thinking in grades 3-5. Reston, VA: National Council of Teachers of Mathematics.
- Carraher, D. W., Schliemann, A. D., & Schwartz, J. L. (2008). Early algebra is not the same as algebra early. In J. J. Kaput., D. W. Carraher., & M. L. Blanton (Eds.), Algebra in the early grades (pp.235-272). Mahwah, NJ: Routledge.
- Kaput, J. J. (2008). What is algebra? What is algebraic reasoning? In J. Kaput, D. W. Carraher, & M. Blanton (Eds.), Algebra in the early grades (pp. 5-17). New York: Lawrence Erlbaum.
- McEldoon, K. L., Cochrane-Braswell, C., & Rittle-Johnson, B. (2010). Effects of problem context on strategy use within functional thinking. Retrieved from world wide web: http://scholar.google.co.kr/scholar?cluster=7173491836342683087&hl=ko&as_sdt=0,5
- McEldoon, K. L., & Rittle-Johnson, B. (2010). Assessing elementary students' functional thinking skills: The cases of function tables. The 32nd Annual Conference of North American Chapter of the International Group for the Psychology of Mathematics Education. Columbus, OH.
- National Council of Teachers of Mathematics(2000). Principles and standards for school mathematics. Reston, VA: Author. 류희찬 외 5인 공역 (2007). 학교수학을 위한 원리와 규준. 서울: 경문사.
- Ng, S. F. (2005). Mathematics in action 6B. Pearson Education South Asia Pte Ltd.
- Schliemann, A. D., Carraher, D. W., & Brizuela, B. (2001). When tables become function tables. In M. Heuvel-Panhuizen (Ed.), Proceedings of the Twenty-fifth International Conference for the Psychology of Mathematics Education (Vol. 4, pp. 145-152), Utrecht, The Netherlands.
- Smith, E. (2008). Representational thinking as a framework for introducing functions in the elementary curriculum. In J. J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the early grades (pp. 133-160). New York: Lawrence Erlbaum.
- Tierney, C., Nemirovsky, R., & Noble, T. (2004). Investigations in number, data and space: patterns of change. Palo Alto, CA: Dale Seymour Publications.
- Warren, E. A., & Cooper, T. J. (2006). Using repeat ing patterns to explore functional thinking. Austr alian Primary Mathematics Classroom, 11(1), 9-14.
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