Reasoning about variables in 11 to 18 year olds: informal, schooled and formal expression in learning about functions

Author:

Ayalon Michal,Watson Anne,Lerman Steve

Publisher

Springer Science and Business Media LLC

Subject

Education,General Mathematics

Reference39 articles.

1. Ainley, J., & Pratt, D. (2005). The Significance of task design in mathematics education: examples from proportional reasoning. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29 International Conference for the Psychology of Mathematics Education (1st ed., pp. 93–122).

2. Ayalon, M., Watson, A., & Lerman, S. (2015). Progression towards functions: identifying variables and relations between them. International Journal of Science and Mathematics Education (published online).

3. Ayalon, M., Watson, A., & Lerman, S. (2016). Students’ conceptualisations of function revealed through definitions and examples. In press.

4. Berger, M. (2005). Vygotsky’s theory of concept formation and mathematics education (2nd ed.). Bergen, Norway: Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education.

5. Blanton, M., & Kaput, J. (2005). Helping elementary teachers build mathematical generality into curriculum and instruction. ZDM – The International Journal on Mathematics Education, 37(1), 34–42.

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