Students’ understanding of the associative property and its applications: noticing, doubling and halving, and place value

Author:

Downton AnnORCID,Russo JamesORCID,Hopkins SarahORCID

Funder

Monash University, Faculty of Education, MST-AC Mid-Career Research Grant

Publisher

Springer Science and Business Media LLC

Subject

Education,General Mathematics

Reference32 articles.

1. Ambrose, R., Baek, J., & Carpenter, T. (2003). Children's invention of multidigit multiplication and division algorithms. In A. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: constructive adaptive expertise (pp. 307–338). Mahwah: Lawrence Erlbaum Associates.

2. Australian Curriculum Assessment and Reporting Authority (ACARA) (2013) Australian curriculum: mathematics. Retrieved from: http://www.australiancurriculum.edu.au/ mathematics/curriculum/

3. Barnett, E., & Ding, M. (2019). Teaching of the associative property: a natural classroom investigation. Investigations in Mathematics Learning, 11(2), 148–166. https://doi.org/10.1080/19477503.2018.1425592.

4. Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: integrating arithmetic & algebra in elementary school. Portsmouth: Heinemann.

5. Carpenter, T. P., Levi, L., Franke, M., & Zeringue, J. (2005). Algebra in elementary school: developing relational thinking. ZDM Mathematics Education, 37(1), 53–59.

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