Measuring Components of Mathematical Proficiency Within a Dynamic Technology

• In Event: Poster Session 16
  In Poster Session: Research in Mathematics Education SIG Poster Session

Abstract

The current paper uses student log files within a dynamic mathematics learning technology, Graspable Math (GM), to explore student problem solving processes. Moving beyond assessments of correctness, measures within GM reveal components of mathematical proficiency, particularly procedural fluency and productive disposition. Using GM measures of student interactions (mouse trajectories, errors, and problem solving steps), 34 summary variables were identified to summarize overall problem solving processes. Using these variables and data from 277 second-grade students who were asked to solve puzzle-based pre-algebra problems, a Principle Components Analysis identified 8 clear factors that accounted for 94.88% of the variance and closely aligned with previous theoretical learning components including progress, go-backs time, resets, completeness, efficiency, session progress, attempted improvement.

Authors

• Taylyn Hulse, Worcester Polytechnic Institute

• Erin R Ottmar, Worcester Polytechnic Institute

• Maria Daigle, Worcester Polytechnic Institute

• Daniel Vito Manzo, Worcester Polytechnic Institute