Transitions in Algebra Problem Representations: Middle Schoolers' Development in Encoding Equations

• In Event: Investigations in Middle School Algebra

Abstract

Proper encoding of algebraic equations is predictive of successful algebraic problem-solving. Inaccurate encoding or problem representation can be measured by errors made on a task that requires learners to reconstruct mathematical equations from memory. The current study uses latent transition analysis to 1) examine profiles of middle school students’ (N = 306) encoding errors, 2) determine transition probabilities from lower to higher performing profiles from start- to end-of-year (SOY/EOY) and 3) to determine predictors of transitions. A two profile solution revealed that 53% of students displayed Profile 2 (High Errors) at SOY but 35% displayed Profile 2 at EOY. A range of math skills (numerical magnitude understanding, algebraic feature knowledge, equation-solving, etc.) are explored as predictors of transitions.

Authors

• Christina Areizaga Barbieri, University of Delaware

• Kelly-Ann Gesuelli, University of Delaware

• Julie L. Booth, Temple University