Making Students’ Mathematical Arguments Explicit

Authors

  • Karl Wesley Kosko Kent State University
  • Elizabeth Guilford Kent State University

Abstract

Elementary students are expected to construct viable arguments with increasing sophistication as they progress through schooling. This article describes students’ progression as different shifts from tacit to explicit mathematical talk and writing. We include a resource for teachers’ to aid in evaluating and understanding children’s argumentation in K-5.

References

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Cirillo, M., Kosko, K. W., Newton, J., Staples, M., Weber, K., Bieda, K., Conner, A., Mejia-Ramos, P., Otten, S., Creager, M., Hummer, J., Singh, R., & Strachota, R. (2016). White paper: Conceptions and consequences of what we call argumentation, justification, and proof. PME-NA Working Group.

Common Core State Standards Initiative [CCSSI]. (2010a). Common core state standards for English language arts. Available at: http://www.corestandards.org/wp-content/uploads/ELA_Standards1.pdf

Common Core State Standards Initiative [CCSSI]. (2010b). Common core state standards for mathematics. Available at: http://corestandards.org/assets/CCSSI_Math%20Standards.pdf

Ellis, A. B. (2007). A taxonomy for categorizing generalizing actions and reflection generalizations. The Journal of the Learning Sciences, 16(2), 221-262.

Kosko, K. W. (2016). Making use of what’s given: Children’s detailing in mathematical argumentative writing. Journal of Mathematical Behavior, 40, 68-86.

Kosko, K. W., & Zimmerman, B. (in press). Emergence of argument in children’s mathematical writing. Journal of Early Childhood Literacy.

Reid, D. A. (2002). Conjectures and refutations in grade 5 mathematics. Journal for Research in Mathematics Education, 33(1), 5-29.

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Toulmin, S. E. (2003). The uses of argument (Updated Edition). New York: Cambridge University Press (original 1958).

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Published

2018-11-08

How to Cite

Kosko, K. W., & Guilford, E. (2018). Making Students’ Mathematical Arguments Explicit. Ohio Journal of School Mathematics, 80(1). Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/6542

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Section

Articles