Looking For and Using Structural Reasoning

  • Looking For and Using Structural Reasoning

    Casey Hawthorne and Bridget K. Druken
    Examples of solving equations and inequalities, analyzing quadratic expressions, and reasoning with functions show three ways to engage students in this mathematical practice.
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    Grace Kelemanik - 2/13/2019 2:57:19 PM

    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 


    Carolyn Kieran - 1/8/2019 10:17:04 AM

    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.

    Casey Hawthorne - 1/23/2019 10:05:00 PM

    Thanks Carolyn for the suggestion.  I read this article this summer and really enjoyed it.  Sorry it didnt make the paper.