Making Students’ Mathematical Arguments Explicit

Karl Wesley Kosko, Elizabeth Guilford

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.


Full Text:

PDF

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).


Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Karl Wesley Kosko, Elizabeth Guilford

The Ohio Journal of School Mathematics is published by the Ohio Council of Teachers of Mathematics and hosted by The Ohio State University Libraries.

If you encounter problems with the site or have comments to offer, including any access difficulty due to incompatibility with adaptive technology, please contact libkbhelp@lists.osu.edu.

ISSN 2472-5986 (print)
ISSN 2472-601X (online)