In this dissertation, I utilize the post-structural philosophy of Gilles Deleuze and Fe´lix Guattari as a lens for investigating the proof process. Deleuze and Guattari were both post- structural philosophers who, like many in this tradition, troubled traditional notions related to stable identities, meaning, language, and mathematics. For…

Undergraduate students' choices and success in their career and life is influenced by their mathematics achievement and perception of themselves in life. Conceptual understanding of topics in undergraduate mathematics such as quantitative reasoning can be difficult for students with less sophisticated multiplicative reasoning than others. This…

Researchers in psychology and mathematics education have been conducting systematic investigations of students' generalization (or transfer) of learning since the beginning of the 20th century. However, we do not know how teachers, the people typically associated with student learning, think about this phenomenon. This study, thus, identified…

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…

More than ever, students need to engage with mathematics concepts, think quantitatively and analytically, and communicate using mathematics. All these skills are central to a young person's preparedness to tackle problems that arise at work and in life beyond the classroom. But the reality is that many students are not familiar with basic…

Recent research suggests that it is not simply experiencing anxiety that affects mathematics performance but also how one responds to and regulates that anxiety (Lyons and Beilock 2011). Most people have faced mathematics problems that have triggered their "run response." The issue is not whether one wants to run, but rather…

Through individual interviews with remedial and precalculus university students, five characteristics of the student were identified that influence whether a diagram is used in solving a problem and whether its use is successful. The interviews also suggested a set of subskills that contribute to the overall ability to draw effective diagrams.…

This investigation was performed to test the hypothesis that male high school students of high discrepancy score on self-concept would be less able to apply principles of dynamics to new situations than male high school students of low discrepancy score. The discrepancy score was the difference between self-concept and ideal self as calculated…

The effect of individualized instruction programs on academic achievement and attitudes of elementary school children was evaluated. It was hypothesized that students in individualized programs would have significantly higher achievement scores and more positive attitudes toward school and self and greater self-direction when compared to their…

Part of a program to increase the academic growth of preschool and primary grade children through the utilization of brain hemisphere research, this volume contains lessons for improving math, social studies, and science learning. Material is divided into two major sections. Section 1 contains 11 chapters covering the following math skills:…

Stressing the importance of collective efforts among families, early childhood care and education programs, communities, and policymakers in supporting the learning and development of children, this resource guide provides a framework for understanding and communicating a common set of developmentally appropriate expectations for young children…