Investigating Pre-Service Candidates' Images of Mathematical Reasoning: An In-Depth Online Analysis of Common Core Mathematics Standards.

Abstract

This paper details the outcomes of a qualitative in–depth investigation into teacher education mathematics preparation. This research is grounded in the notion that mathematics teacher education students (as “degree seeking candidates”) need to develop strong foundations of mathematical practice as defined by the Common Core State Standards for Mathematics' (CCSSM). In this investigation mathematics Pre-Service Candidates (“PSCs”) participated in an online 15-week methods course that infused writing prompts. This research activity probed the PSCs images of mathematical reasoning. It is based on the idea that in mathematical teacher education, teacher preparation requires teaching mathematical standards. In teaching, the standards activities are required that infuse mathematical reasoning. This will aid PSCs in further infusing mathematical reasoning in their teaching both now and in the future.