International Group for the Psychology of Mathematics Education (PME)

Proceedings of the International Group for the Psychology of Mathematics Education · Volume 1

Designing Online Assessment to Study Conceptions of Equivalent Linear Equations in an Mlr Environment

Julia Bagdadi, Michal Yerushalmy

University of Haifa

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 123–130ISSN 2790-36482026Scopus conference code 336559
⬇ Download PDF

Abstract

This paper reports on the design of an automated assessment for exploring students’ conceptions of equivalence of linear equations in a multiple-linked representation (MLR) environment. Students’ approaches to equivalence are examined in a function-based context, where an equation is represented as a comparison of two functions. Common solutions are visually represented by a shared X value of intersection points, derived by representation of a sequence of solution-preserving transformations. Implemented in the STEP platform, answers to Example Eliciting Tasks (EETs) –including triangulation of choice of examples from lists of equations, learner-generated examples and choice items are automatically analysed.

Keywords

Assessmentsensual perceptionlinear equation

Recommended citation

Bagdadi, J., & Yerushalmy, M. (2026). Designing Online Assessment to Study Conceptions of Equivalent Linear Equations in an Mlr Environment. In Krzywacki H., Hähkiöniemi M., Haataja E., Hannula M.S., Hästö P. (Eds.), Proceedings of the International Group for the Psychology of Mathematics Education, Volume 1 (pp. 123–130). Psychology of Mathematics Education (PME). ISSN 2790-3648.
BibTeXRIS

← All PME 49 Research Reports