The purpose of this research has been to generate learning environments that surrounded second and third grade students with bi-directional counting experiences, leading them to discover and come to an understanding of opposite numbers. While engaged in games and bi-directional activities, these young students eagerly counted, by jumping frogs…

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…

Early math skills are the strongest predictors of later math achievement in school. This two-wave study addressed three research questions about the role of families in fostering these skills in preschool-aged children. First, how do families talk about math at home? Second, how do these conversations vary across families with different…

The Third International Mathematics and Science Study (TIMSS) study revealed that test scores from high school students were below average in mathematics and science. Studies show that part of it stem from the traditional methods of teaching rather than the standards based teaching. According to the No Child Left Behind (NCLB) act, students should…

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…

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…

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…

There is limited research on bilingual classroom teachers who conduct household visits of non-English speaking Hispanic families. The author and teacher explored (a) ways that three migrant, Hispanic families were involved with their children's school to promote mathematics and language literacy learning and communication; and (b) how these…

How do educational opportunities influence students' academic achievement in the Dominican Republic? How do students grow, in knowledge and skills, as a result of their passage through the elementary grades? This study aims to explore and understand the differences between the implemented curriculum in public and private schools in 4th, 5th, and…

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…

Teacher educators use children's thinking activities as a means to prepare prospective teachers to teach mathematics. Research in methods courses and student teaching practica has shown these types of activities help prospective teachers deepen their own mathematical knowledge as well as better understand how children think. This study…

This quantitative study compared two groups of community college students who were studying elementary statistics. The control group consisted of 38 students in two classes during the fall of 1998, and the treatment group contained 40 students in two classes during the spring of 1999. The treatment group participated in ten data collection and…