Subtraction, Decomposition, and Argumentation

Author:
Chepina Rumsey University of Northern Iowa, Cedar Falls

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Jody Guarino University of California, Irvine

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Michelle Sperling Costa Mesa, California

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Volume/Issue:
Volume 116: Issue 2
Page(s):
90–98
DOI:
https://doi.org/10.5951/MTLT.2022.0168
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Subjects:
Grade(s) or Audience, Grades PK-2, Math Topic, Number, Number & Operations, Number Sense/Patterns, Other Topic, Communication, Discourse/Questioning, Professional Development / Teacher Training, Teacher Professional Development

We describe how mathematical argumentation supports curiosity and exploration by sharing a first-grade lesson in which students explored decomposition with subtraction. We also reflect on the conditions that supported the inclusion of mathematical argumentation.

Supplementary Materials

    • Questions to Nurture Each Layer of Argumentation (61.8 KB)
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Mathematics Teacher: Learning and Teaching PK-12
Cover Mathematics Teacher: Learning and Teaching PK-12

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  • Rumsey, C. , & Guarino, J. (Forthcoming 2024). Let’s grow math wonder in young mathematicians [working title]. Norton.

  • Rumsey, C. , Guarino, J. , Adams, R. , Cho, C. , & Lockhart, B. (2019). Tools to support K–2 students in mathematical argumentation. Teaching Children Mathematics, 25(4), 208–217. https://doi.org/10.5951/teacchilmath.25.4.0208

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  • Russo, J. (2018). Mathematical proofs in primary schools. Mathematics Teaching, 261, 32–35.

  • Stein, M. K. , Engle, R. A. , Smith, M. S. , & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313–340. https://doi.org/10.1080/10986060802229675

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  • Williams, H. J. (2022). Playful mathematics. Mathematics Teaching, 283, 8–10.

Copyright:
© 2023 by National Council of Teachers of Mathematics, Inc.
Page Count:
9
Article Category:
Research Article
Print Publication Date:
01 Feb 2023
Online Publication Date:
Feb 2023
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