Seeing Algebra in Arithmetic Through Mathematical Problem Posing

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Author(s)Cai, Jinfa
Author(s)Hwang, Stephen
Date Accessioned2022-10-04T19:25:46Z
Date Available2022-10-04T19:25:46Z
Publication Date2022-08-31
DescriptionCopyright © 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.2022.32.3.309en_US
AbstractThis 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.en_US
SponsorDuring the preparation of this chapter, the authors were supported by a grant from the National Science Foundation (DRL-2101552). Any opinions expressed herein are those of the authors and do not necessarily represent the views of the National Science Foundation.en_US
CitationCai 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.2022.32.3.309en_US
ISSN2288-8357
URLhttps://udspace.udel.edu/handle/19716/31432
Languageen_USen_US
PublisherThe Journal of Educational Research in Mathematicsen_US
Keywordsseeing algebra in arithmeticen_US
Keywordsproblem posingen_US
Keywordsequation solvingen_US
Keywordsfunctional relationsen_US
TitleSeeing Algebra in Arithmetic Through Mathematical Problem Posingen_US
TypeArticleen_US
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