Looking For and Using Structural Reasoning
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Thank you for this well written insightful article championing structural thinking. Your examples were compelling. Amu Lucenta and I have developed two instructional routines -- Contempalte then Calculate and Connecting Representations -- that each have the goal of developing student's structual thinking. The examples in your article would make great tasks for these two routines. Super exciting. For more about the routines check www.fosteringmathpractices.com
A great paper! I loved it. Have you written any others on the same theme?
You might also like to read: Kieran, C. (2018). Seeking, using, and expressing structure in numbers and numerical operations: A fundamental path to developing early algebraic thinking. In C. Kieran (Ed.), Teaching and learning algebraic thinking with 5- to 12-year-olds: The global evolution of an emerging field of research and practice (pp. 79-105). New York: Springer.
Thanks Carolyn for the suggestion. I read this article this summer and really enjoyed it. Sorry it didnt make the paper.