From Here to There! A dynamic algebraic notation system improves understanding of equivalence in middle-school students

Yun-Chen CHAN, Ji-Eun LEE, Craig A. MASON, Katharine SAWREY, Erin OTTMAR

Research output: Contribution to journalArticlespeer-review

5 Citations (Scopus)

Abstract

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among mathematically equivalent states. In the fall of 2019, 475 middle-school students participated in a randomized control trial where they worked in either FH2T or online problem sets with hints and feedback in ASSISTments over four 30-min sessions during their math class. We found that (a) students in both conditions improved their understanding of mathematical equivalence from pretest to posttest, (b) students in the FH2T condition performed better on posttest compared to students in the problem set condition, and (c) the condition effect was comparable between students with high versus low prior knowledge. Together, the findings suggest that FH2T is an effective intervention for improving middle-school students’ understanding of mathematical equivalence. The implications for research and practice on the usefulness of digital environments in mathematics education are discussed. Copyright © 2021 American Psychological Association.

Original languageEnglish
Pages (from-to)56-71
JournalJournal of Educational Psychology
Volume114
Issue number1
Early online dateFeb 2021
DOIs
Publication statusPublished - 2022

Citation

Chan, J. Y.-C., Lee, J.-E., Mason, C. A., Sawrey, K., & Ottmar, E. (2022). From Here to There! A dynamic algebraic notation system improves understanding of equivalence in middle-school students. Journal of Educational Psychology, 114(1), 56-71. doi: 10.1037/edu0000596

Keywords

  • Algebra and algebraic thinking
  • Technology
  • Instructional activities
  • Middle-school mathematics

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