Illusions of Using a Diagram: An Investigation of Two Types of Mathematical Representations

• In Event: Poster Session 10
  In Poster Session: Posters in Mathematics Teaching and Learning

Abstract

Mathematics educators everywhere use diagrams. However, the empirical literature is mixed as to whether diagrams are an effective tool for aiding problem-solving success. The present study demonstrated that as an aid to help undergraduate students (N = 162) solve word problems involving conditional probability, a simple list of probabilities is statistically indistinguishable from a diagram. Additionally, attempts to provide conceptually oriented instruction to strengthen problem-solving abilities did not result in improved outcomes relative to procedural instruction.

Authors

• Brian D. Beitzel, SUNY - College at Oneonta

• Nathan E. Gonyea, SUNY - College at Oneonta

• Richard K. Staley, SUNY - College at Oneonta