References
- Bastable, V. & Schifter, D. (2008). Classroom stories: Examples of elementary students engaged in early algebra. In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 165-184). New York: Lawrence Erlbaum Associates.
- Boester, T. & Lehrer, R. (2008). Visualizing algebraic reasoning. In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 211-234). New York: Lawrence Erlbaum Associates.
- Carpenter, T. P.; Franke, M. L. & Levi, L. (2003). Thinking mathematically: Integrating arithmetic and algebra in elementary school. Portsmouth, NH: Heinemann. ERIC ED474452
- Carraher, D. W. & Schliemann, A. D. (2007). Early algebra and algebraic reasoning. In: F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 669- 705). Charlotte, NC: Information Age Publishing.
- 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). New York: Lawrence Erlbaum Associates.
- Huinker, D. (2002). Examining dimensions of fraction operation sense. In: B. Litwiller & G. Bright (Eds.), Making sense of fractions, ratios, and proportions (pp. 72-78). Reston, VA: NCTM.
- Kaput, J. J. (2008). What is algebra? What is algebraic reasoning? In J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 5-17). New York: Lawrence Erlbaum Associates.
- Kaput, J. J.; Blanton, M. L. & Moreno, L. (2008). Algebra from a symbolization point of view. In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 19-56). New York: Lawrence Erlbaum Associates.
- Kilpatrick, J. & Izsak, A. (2008). A history of algebra in the school curriculum. In: C. E. Greenes & R. Rubenstein (Eds.), Algebra and algebraic thinking in school mathematics (pp. 3-18). Reston, VA: NCTM.
- Lee, J. & Pang, J. (2012). An analysis of fraction operation sense to enhance early algebraic thinking. A paper presented at Topic Study Group 9 (Teaching and Learning of Algebra) of the 12th International Congress on Mathematical Education (ICME-12) held at COEX, Seoul, Korea; July 8-15, 2012.
- Markovits, Z. & Pang, J. S. (2007). The ability of sixth grade students in Korea and Israel to cope with number sense tasks. In: J. H. Woo, H. C. Lew, K. S. Park, & D. Y. Seo (Eds.), Proc. of the 31st Conf. of the Int. Group for the Psychology of Mathematics Education (PME-31) held at COEX, Seoul, Korea; July 8-13, 2007, Vol. 3, (pp. 241-248). Seoul, Korea: PME. ERIC ED499416 Available from: http://www.eric.ed.gov/PDFS/ED499416.pdf
- Mason, J. (2008). Making use of children's powers to produce algebraic thinking. In: J. J. Kaput, D. W. Carraher & M. Blanton (Eds.), Algebra in the early grades (pp. 19-41). New York: Lawrence Erlbaum Associates.
- Schifter, D. (1997). Developing operation sense as a foundation for algebra. Paper presented at the annual meeting of the American Educational Research Association, Chicago. ERIC ED408152 Available from: http://www.eric.ed.gov/PDFS/ED408152.pdf
- Schifter, D.; Monk, S.; Russell, S. J. & Bastable, V. (2008). Early algebra: What does understanding the laws of arithmetic mean in the elementary grades? In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 413-447). New York: Lawrence Erlbaum Associates.
- Schoenfeld, A. H. (2008). Early algebra as mathematical sense making. In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 479-510). New York: Lawrence Erlbaum Associates.
- Slavit, D. (1999). The role of operation sense in transitions from arithmetic to algebraic thought. Educational Studies in Mathematics 37(3), 251-274. Available from: http://www.scribd.com/doc/208018/1999-the-Role-of-Operation-Sense-in-Transitions-From
- Smith, J. P. & Thompson, P. W. (2008). Quantitative reasoning and the development of algebraic reasoning. In: J. J. Kaput, D. W. Carraher & M. L. Blanton (Eds.), Algebra in the early grades (pp. 95-132). New York: Lawrence Erlbaum Associates.
- Verschaffel. L.; Greer. B. & De Corte. E. (2007). Whole number concepts and operations. In: F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 557- 628). Charlotte, NC: Information Age Publishing.
- Wu. H. H. (2001). How to prepare students for algebra. American Educator 25(2), 10-17. ERIC EJ630397