Mathematics teacher education programs vary widely in the learning opportunities they offer to prospective teachers. Improving the quality of teacher education necessitates an understanding of which of these learning opportunities have the largest impact on teacher preparedness. To understand this, there must be a meaningful method for assessing…

Although there has been a substantial amount of research on the topic of teacher professional development, few studies adequately captured the types and frequency of formal and informal professional learning teachers undertake to improve as educators. The purpose of this study was to examine the types of activities middle and high school…

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…

Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…

The proliferation of technology brings innovated strategies to enhance learning with digital math gaming in order to optimize motivation, comprehension, and retention. The problem is the lack of opportunities for students to engage in math video games. The scope of this paper is to present findings from a qualitative case study that investigated…

Teachers are continually confronted with meeting the needs of all students and preparing them to be successful on state end-of-course assessments while changing or evolving to be more of a facilitator of student-centered. Lessons are to be relevant for the students, engaging them so they are active participants in their learning. However, many…

This study examined teachers' use of student tasks involving dynamic geometry software, in which a figure is constructed then altered while maintaining its constructed properties. Although researchers, professional organizations, and policy makers generally have been proponents of dynamic geometry for instruction, there is little research about…

The purpose of this three-paper manuscript dissertation is to add value to the limited knowledge base of research surrounding the quality of teacher-child interactions in pre-k mathematics contexts. The first paper, based on an extensive review of literature, presents a theoretical basis for using five-frames to support children's development of…

Although the idea of pedagogical content knowledge (PCK) has been elaborated in numerous studies, there has been little clarification of what constitutes it or research into its development. Furthermore, studies that have investigated PCK, or mathematical knowledge for teaching (MKT) as introduced by Thompson and Thompson, have historically…

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…