The ways teachers understand mathematics that is useful for teaching, known as mathematical knowledge for teaching (MKT), has been a center of attention for the research and policy communities. A teacher's MKT has been shown to be a significant factor in predicting student outcomes and positively related to the quality of mathematics instructional…

This dissertation case study examines how teachers' levels of units coordination afford their ability to reason multiplicatively and fractionally, as well as use their mathematics knowledge for teaching to analyze student multiplicative and fractional reasoning, when a two-year intervention is put into place to evoke new mathematical reasoning.…

Problem: Schools often use instructional coaches to build teacher instructional capacity and raise student achievement (Mangin, 2005, 2009; Neufeld & Roper, 2003). While instructional coaches are meant to support the growth of teachers, little is known about what these instructional coaches bring to their intellectual work (Campbell &…

This qualitative research study explores teachers' understandings of multiplicative reasoning as a key developmental understanding (KDU). A KDU entails knowingly applying the same mathematical concepts within different contexts. A KDU supports an individual to build a connected understanding of mathematics as opposed to only understanding…

The need to design teacher preparation programs to ensure that pre-service teachers (PSTs) are prepared and equipped with knowledge, skills and practices to increase the chances that they will become effective novice mathematics teachers is of prime importance. Teacher educators are facing lingering challenges, since teacher education is…

This study focused on the mathematical content knowledge of prospective teachers in Iceland. The sample was 38 students in the School of Education at the University of Iceland, both graduate and undergraduate students. All of the participants in the study completed a questionnaire survey and 10 were interviewed. The choice of ways to measure the…

The goal of this research study was to gain an understanding of high school teachers' perceptions of the role of history of mathematics in the classroom as well as their underlying view of mathematics as a discipline. High school teachers from 379 Public High Schools in Massachusetts were contacted and encouraged to take an on-line Likert scale…

Proof is a foundational mathematical activity that has been underrepresented in school mathematics. The recently adopted Common Core State Standards in Mathematics includes eight process standards, several of which promote the inclusion of reasoning and proof across all grades, courses, and students. If students are to reach the expectations…

Although current reform movements have stressed the importance of developing prospective middle school mathematics teachers' subject matter knowledge and understandings, there is a dearth of research studies with regard to prospective middle school teachers' confidence and knowledge with respect to quadratic functions. This study was intended to…

For the past decade, students at California State University (CSU) campuses increasingly lack basic mathematics skills. To address this concern, Executive Order No. 665 (1998) called for CSU campuses to bring students to proficiency in mathematics. School districts have struggled to modify their mathematics curriculum, pedagogy, and assessment in…