Seeing Algebra in Arithmetic Through Mathematical Problem Posing
Date
2022-08-31
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Journal of Educational Research in Mathematics
Abstract
This paper proceeds from the position that elementary- and middle-school students can learn and should be exposed to algebraic ideas and that a fruitful mechanism for this is to help them to see the algebra in arithmetic. After a brief survey of the literature on helping students see algebra in arithmetic, the main focus of the paper is on the use of mathematical problem posing in the classroom to help students see the algebra in arithmetic. To illustrate this, we present three cases of teaching mathematics through problem posing and discuss the perspectives they offer on developing students’ algebraic thinking. The paper concludes with an examination of how teachers might be supported in using problem posing to help their students see the algebra in arithmetic.
Description
Copyright © Korea Society of Education Studies in Mathematics. This article Cai J, Hwang S. Seeing Algebra in Arithmetic Through Mathematical Problem Posing. Korean J. Opt. Photon. 2022;32:309-329. https://doi.org/10.29275/jerm.2022.32.3.309 was originally published in The Journal of Educational Reserach in Mathematics. The version of record is available at: https://doi.org/10.29275/jerm.2022.32.3.309
Keywords
seeing algebra in arithmetic, problem posing, equation solving, functional relations
Citation
Cai J, Hwang S. Seeing Algebra in Arithmetic Through Mathematical Problem Posing. Korean J. Opt. Photon. 2022;32:309-329. https://doi.org/10.29275/jerm.2022.32.3.309