Despite growing theoretical and empirical evidence that writing has the potential to be an effective tool for student learning in undergraduate mathematics, writing-to-learn integration in mathematics is rare. Major deterrents include perceived lack of alignment between writing and learning goals, deficit views of students' writing abilities, and…

The present bounded case study explored preservice teachers' experiences using a boundary object in the form of a mathematics course assignment during a pre-student teaching clinical experience. The study focused on preservice teachers' perceptions of how utilizing a boundary object influenced the dynamics of their hierarchical relationships with…

The purpose of this study was to examine the effects of Google Classroom on the outcomes of students with learning disabilities in the mathematics classroom. Specifically, the study evaluated students' organizational skills, student achievement, and student satisfaction. The study included 7 high school students, 4 males and 3 females, in an…

This dissertation reports the results of a research project that examined the effects of varying rates of reinforcement on students' math performance and assignment preference. The relationship between students' instructional level and the rate of reinforcement threshold for influencing assignment preference was also explored. Participants were…

The purpose of this study is to understand characteristics and outcomes of instructional tasks used to support preservice secondary mathematics teachers (PSMTs) in learning about equity in secondary mathematics methods courses. This study focuses on five instructional tasks from four purposefully chosen teacher education programs. These activities…

This study investigates the usefulness of a Dynamic Geometry Task Analysis Framework for indicating task quality in dynamic geometry environments in general, and The Geometer's Sketchpad in particular. This research sought to first establish the validity of the framework for indicating task quality, and to second explore the effects of the…

Students who engage in mathematical arguments in classrooms take part in an important practice involving reasoning and justification. As a mathematical practice, argumentation involves using both conceptual and procedural reasoning to justify a claim. Even though argumentation can occur in discussions where one asserts and defends their claim…

An 18-week experimental intervention tested the effect of the WAC strategy known as microthemes on math achievement of secondary students. The sample population included 231 students, with 106 in the experimental group and 125 in the control group, enrolled in six different math courses from basic to advanced, ninth to twelfth grade. Students in…

Concepts of Mathematics (21-127 at CMU) is a course designed to introduce students to the world of abstract mathematics, guiding them from more calculation-based math (that one learns in high school) to higher mathematics, which focuses more on abstract thinking, problem solving, and writing "proofs." This transition tends to be a shock:…

Methods and procedures for successfully solving math word problems have been, and continue to be a mystery to many U.S. high school students. Previous studies suggest that the contextual and mathematical understanding of a word problem, along with the development of schemas and their related external representations, positively contribute to…

This comparative study examined discourse and opportunities for interaction in two mathematics education methods classes, one face-to-face and one synchronous, online. Due to the content taught in the course, this study also sought to determine prospective mathematics teachers' understanding of variability and the role of discourse in each…