Productive failure has shown positive effects on conceptual and transfer measures, but no clear effects on procedural measures. It is therefore an open question whether, and to what extent, productive failure methods may be used to enhance the learning of procedural skills. A typical productive failure study focuses on a single, complex concept;…

Using multiple representations of a problem can reveal the relationship between complex concepts by expressing the same mathematical condition differently and can contribute to the meaningful learning of mathematical concepts. The purpose of this study is to assess the performances of mathematics teacher-candidates on trigonometry problems…

In this article, the author describes the "Learning Disposition Questionnaire" (LDQ) a tool designed to address more of the "integrity and identity" of college students as learners. Rather than using students' documented skills as a lens by which to assume or interpret learning dispositions, a direct way to evaluate and assess…