Mapping the early algebraic discourse of seventh-grade students

Avital Elbaum-Cohen; Lara Shahla Demirdjian; Einat Heyd-Metzuyanim; Michal Tabach

Mapping the early algebraic discourse of seventh-grade students

Avital Elbaum-Cohen, Lara Shahla Demirdjian, Einat Heyd-Metzuyanim, Michal Tabach

Technion - Israel Institute of Technology, Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Algebra is an important pre-requisite for almost any advanced mathematical topic. The importance of learning this new topic entails the need to monitor students’ advancement. In this work, we harness the commognitive theory of learning to analyze students’ participation in algebraic discourse and asses their algebraic objects construction. We demonstrate the construction of a Realizations Mapping Tool (RMT) to map students’ realizations of algebraic objects and visualize to which discourse they belong and the links between them. This paper exemplifies the affordances of the RMT by presenting the analysis of objectification of one seventh grade student, as he solves an algebraic task, and juxtaposes it with a second student’s RMT representing the objectification of his discourse when solving the same task.

Original language	English
Title of host publication	Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023
Editors	Michal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
Pages	283-290
Number of pages	8
State	Published - 2023
Event	46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 - Haifa, Israel Duration: 16 Jul 2022 → 21 Jul 2022

Publication series

Name	Proceedings of the International Group for the Psychology of Mathematics Education
Volume	2

Conference

Conference	46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023
Country/Territory	Israel
City	Haifa
Period	16/07/22 → 21/07/22

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)
Developmental and Educational Psychology
Experimental and Cognitive Psychology
Education

Cite this

Elbaum-Cohen, A., Demirdjian, L. S., Heyd-Metzuyanim, E., & Tabach, M. (2023). Mapping the early algebraic discourse of seventh-grade students. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel, & M. Tabach (Eds.), Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023 (pp. 283-290). (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 2).

Elbaum-Cohen, Avital ; Demirdjian, Lara Shahla ; Heyd-Metzuyanim, Einat et al. / Mapping the early algebraic discourse of seventh-grade students. Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. editor / Michal Ayalon ; Boris Koichu ; Roza Leikin ; Laurie Rubel ; Michal Tabach. 2023. pp. 283-290 (Proceedings of the International Group for the Psychology of Mathematics Education).

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title = "Mapping the early algebraic discourse of seventh-grade students",

abstract = "Algebra is an important pre-requisite for almost any advanced mathematical topic. The importance of learning this new topic entails the need to monitor students{\textquoteright} advancement. In this work, we harness the commognitive theory of learning to analyze students{\textquoteright} participation in algebraic discourse and asses their algebraic objects construction. We demonstrate the construction of a Realizations Mapping Tool (RMT) to map students{\textquoteright} realizations of algebraic objects and visualize to which discourse they belong and the links between them. This paper exemplifies the affordances of the RMT by presenting the analysis of objectification of one seventh grade student, as he solves an algebraic task, and juxtaposes it with a second student{\textquoteright}s RMT representing the objectification of his discourse when solving the same task.",

author = "Avital Elbaum-Cohen and Demirdjian, \{Lara Shahla\} and Einat Heyd-Metzuyanim and Michal Tabach",

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series = "Proceedings of the International Group for the Psychology of Mathematics Education",

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Elbaum-Cohen, A, Demirdjian, LS, Heyd-Metzuyanim, E & Tabach, M 2023, Mapping the early algebraic discourse of seventh-grade students. in M Ayalon, B Koichu, R Leikin, L Rubel & M Tabach (eds), Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. Proceedings of the International Group for the Psychology of Mathematics Education, vol. 2, pp. 283-290, 46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023, Haifa, Israel, 16/07/22.

Mapping the early algebraic discourse of seventh-grade students. / Elbaum-Cohen, Avital; Demirdjian, Lara Shahla; Heyd-Metzuyanim, Einat et al.
Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. ed. / Michal Ayalon; Boris Koichu; Roza Leikin; Laurie Rubel; Michal Tabach. 2023. p. 283-290 (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Elbaum-Cohen A, Demirdjian LS, Heyd-Metzuyanim E , Tabach M. Mapping the early algebraic discourse of seventh-grade students. In Ayalon M, Koichu B, Leikin R, Rubel L, Tabach M, editors, Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. 2023. p. 283-290. (Proceedings of the International Group for the Psychology of Mathematics Education).

Mapping the early algebraic discourse of seventh-grade students

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