Student achievement in mathematics is correlated with factors related to student engagement. Improving engagement has the potential to improve student achievement at the middle school level. The Common Core State Standards for Mathematics explicate eight specific Standards for Mathematical Practice (SMPs) that clarify the types of skills and…

Concepts of Mathematics (21-127 at CMU) is a course designed to introduce students to the world of abstract mathematics, guiding them from more calculation-based math (that one learns in high school) to higher mathematics, which focuses more on abstract thinking, problem solving, and writing "proofs." This transition tends to be a shock:…

Research in the field of math education continues to press teachers guide instruction based on students' needs and contributions, focusing on student learning through facilitation of whole-group discussions. This dissertation presents the findings of a qualitative study of two elementary teachers managing such "ambitious" teaching practices across…

The purpose of this study was to determine the extent to which a preschool program followed the recommendations outlined by the National Association for the Education of Young Children (NAEYC) and the National Council of Teachers of Mathematics (NCTM) in their joint position statement "Early Childhood Mathematics: Promoting Good…