References
- Ambrose, R.; Baek, J.-M.; Carpenter, T. (2003). Children's Invention of Multidigit Multiplication and Division Algorithms. In: A. J. Baroody and A. Dowker (Eds), The development of arithmetic concepts and skills: constructing adaptive expertise (pp. 305-336). Mahwah, NJ: Lawrence Erlbaum Associates. ME 2003c.02302
- Bruner, J. S. (1960). The Process of Education. Cambridge, Mass.: Harvard University Press / New York: Vintage Books.
- Cheng, C. C. L. (2008). From counting to mathematical structure. J. Korea Soc. Math. Educ. Ser. D 12(2), 127-142. ME 2008f.00094
- Cheng, C. C. L. (2010). Mathematical thinking and developing mathematical structure. J. Korea Soc. Math. Educ. Ser. D 14(1), 33-50. ME 2010f.00626
- English, L. D. (1997). Mathematical Reasoning. Analogies, Metaphors, and Images. Mahwah, NJ: Lawrence Erlbaum Associates, Publishers. ME 1997f.03923
- English, L. D. & Halford, G. S. (1995). Mathematics Education: Models and Processes. Mahwah, NJ: Lawrence Erlbaum Associates, Publishers. ME 1996c.01527
- Gentner, D. (1983). Structural mapping: A theoretical framework for analogy. Cognitive Science 7. 155-170. https://doi.org/10.1207/s15516709cog0702_3
- Halford, G. S. (1993). Children's understanding: The development of mental models. Hillsdale, NJ: Lawrence Erlbaum Associates.
- Reid, D. A. (2002). Conjecturing and Refutations in Grade 5 Mathematics. J. Res. Math. Educ. 33(1), 5-29. ME 2002e.04028 https://doi.org/10.2307/749867
- Treffers, A. & Beishuizen, M. (1999). Realistic Mathematics Education in the Netherlands. In: I. Thompson (Ed.), Issues in Teaching Numeracy in Primary Schools (pp. 27-38). Milton Keynes, UK: Open University Press.
- Vosniadou, S. (1989). Anaolgical reasoning as a mechanism in knowledge acquisition: A developmental perspective. In: S. Vosniadou & A. Ortony (Eds.), Similarity and analogical reasoning (pp. 413-437). Cambridge, England: Cambridge University Press.