The purpose of this research was to investigate students' mathematical understandings of fraction division with an ethnomathematics/STEM framework. A small group teaching study (Cobb et al., 2003) was conducted using design research methodology to examine how students interacted with the curriculum. The researcher served as interventionist and…

This qualitative, multiple case study provided comprehensive descriptions of the conceptual difficulties and learning experiences of in-service teachers as they improved their ability to effectively model fraction division with pictorial diagrams. Video data were collected on eight teachers as they individually progressed through a professional…

This dissertation comprises two articles. In the first article, I review and synthesize literature on how prospective teachers (PTs) might evaluate students' mathematical thinking as manifested in written work. After defining evaluation, I argue that evaluating students' thinking in productive ways is both necessary and desirable within the…

"A critical pillar of a strong PreK-12 education is a well-qualified teacher in every classroom" (Conference Board of Mathematical Sciences, 2012, p. 1). In order for teachers to help students build procedural fluency from conceptual understanding and meet the standards set forth by governing agencies, prospective teachers will need deep…