Making Students’ Mathematical Arguments Explicit
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
Balacheff, N. (1988). Aspects of proof in pupils’ practice of school mathematics. In D. Pimm (Ed.), Mathematics, teachers and children (pp. 216-235). Hachette, United Kingdom: Hodder Education.
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.
Store, J. C. (2015). Exploring justifications and enactment of justification curriculum in elementary classrooms. Education Research and Perspectives, 42, 527-555.
Toulmin, S. E. (2003). The uses of argument (Updated Edition). New York: Cambridge University Press (original 1958).
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Copyright (c) 2018 Karl Wesley Kosko, Elizabeth Guilford