The purpose of my study was to determine the effectiveness of using dynamic geometry software while exploring the properties of quadrilaterals. Dynamic geometry software can be effective if used properly in the exploration process as students construct their own knowledge through constructivism. Students were given the Van Hiele Test as a pretest…

Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

The purpose of this quantitative, quasi-experimental study was to determine if, and to what extent, technology-enhanced problem-based formative assessment instruction would have an impact on college students' algebra learning and development of critical thinking skills, when compared to traditional classroom instruction in a first-year college…

This exploratory transcendental phenomenological study delved into the perceptions of selected South Texas public elementary school parents and students as they transitioned from traditional math practices to a personalized pedagogy which incorporated the constructivist model of instruction--blended learning. This study focused on fourth and fifth…

Teacher knowledge of students' mathematical thinking has been a growing research area in mathematics education. Although researchers have made substantial progress in understanding students' mathematical thinking and created research programs and curricula tailored to the research findings, teacher education programs have, by and large, not been…

The purpose of the study was to examine how action research informs instructional changes that need to take place in the middle grades mathematics classroom. There is a need for an increase in engagement in middle grades mathematics by educators being critically reflective of their instructional practices. The research question addressed in this…

A constructivist approach for teaching and learning mathematics was the foundation for a longitudinal study at Rutgers University in 1987 (Maher, 2011). One of the objectives of the longitudinal study was to provide an environment where students solve problems in collaborative groups (Maher, 2011). Videos from the longitudinal study are stored in…

Abstract algebra enjoys a prestigious position in mathematics and the undergraduate mathematics curriculum. A typical abstract algebra course aims to provide students with a glimpse into the elegance of mathematics by exposing them to structures that form its foundation--it arguably approximates the actual practice of mathematics better than any…

The purpose of this study was to ascertain whether certain contextual factors pertaining to principals and teachers influenced U.S. eighth grade students' math achievement. More specifically, the study comparatively examined the direct and mediating predictive influence of teacher instructional approaches (i.e., teacher-directed; constructivism),…

This case study investigated students' conceptual knowledge of limits in calculus by implementing semi-structured interviews. The constructivist learning principles of Piaget and Inhelder as well as theories of understanding by Skemp guided the study. In Phase I, a pilot study was conducted with 15 students from a Calculus III class. By using…

This action research study explored a constructivist, flipped classroom approach to teaching developmental mathematics. This study was developed in response to a concern regarding a lack of success in developmental mathematics. Throughout the study, adult developmental learners were required to watch video lectures prior to attending class. Class…

The purpose of this quantitative, causal-comparative study was to examine the application of the teaching and learning theory of social constructivism in order to determine if mathematics instruction provided in a departmentalized classroom setting at the fifth grade level resulted in a statistically significant difference in student achievement…

This study explored the effectiveness of a unique math intervention program in a local school district in Orange County, California in terms of academic achievement and student perceptions about their math abilities as a result of their experiences in the program. As the predominate instructional approach, the program provided students with…

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

West Georgia Technical College (WGTC) did not offer online learning support courses and was losing students to other colleges that offered those courses online. Adding to this problem, online learning support class sections were not being added without sufficient proof that students could receive the same level of education in an online section as…