The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…

This study investigated how three fifth-grade students' understanding of fraction and decimal magnitude evolved over the course of a five-week teaching experiment. Students participated in teaching and learning sessions focused on developing concepts of fraction and decimal magnitude. The following questions guided this study: (1) How do fifth…

This is an empirical, ethnographic study about middle school students' mathematical joy in a formal math classroom. This study is situated in a year-long Research Practice Partnership with 6th grade mathematics teacher and 21 students in her 3rd block class. Through this collaboration, the teacher and I sought to design tasks to support students'…

This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

Learning mathematics involves abstract thinking and the use of symbols. To be successful in a mathematics classroom, students must master what symbols mean and how they work. Much prior work has focused on the nature of the external representations used in mathematics instruction, including manipulatives and symbolic representations. In this work,…

Through instructional tasks, teachers can present content in ways that require students to apply critical thinking, problem-solving, and other cognitive skills. The purpose of this mixed methods collective case study was to determine how teacher-assigned instructional tasks in mathematics impact students' learning of mathematical concepts. In this…

The purpose of this study was to determine if there is a relationship between the learner interactions of learner-content, learner-instructor, and learner-learner and either course satisfaction or perceived learning in online mathematics courses at the community college level. Additionally, this study investigated whether the learner interactions…

This study was designed to explore the impact of professional development in Professional Learning Communities (PLCs) of secondary mathematics teachers using The DuFour PLC model in one Southeast Texas School District. Descriptive statistics were compiled based on survey data from 19 participants. Internal consistency reliability was analyzed…

Through a series of four papers, this dissertation investigates developmental mathematics students' experiences with relearning, or the experience of learning about content one has already tried to learn in a previous mathematics course. Developmental math courses typically focus on K-12 algebra, and are required for graduation but notorious for…

Teachers across the United States struggle with meeting students' needs in their classrooms amidst the growing diversity of children in their classrooms and the amplification of standardized testing. Time and again, teaching with the heart and action of inclusivity is placed on the back burner as teachers feel the pressure for students to perform…

This research delves into the attitudes, perceptions, and motivations of student-athletes enrolled in Intermediate Algebra courses. It focuses on the distinct challenges they encounter in juggling academic and athletic responsibilities at a southeastern university in the United States. Employing a mixed-methods approach, the study gathered…

Computational thinking (CT) has great potential for enhancing mathematics and science lessons in K-12 education. Numerous studies demonstrate that under the right circumstances, CT integration in math and science can improve student learning and promote deeper understanding. However, teacher education currently does not include preparation for…

Exponential functions are an integral component of the secondary mathematics curriculum with which students struggle. Inherent difficulties students have had around the topic of exponential functions suggested a need for thinking about and examining the teaching and learning related to this content. This study presented the mathematical ideas made…

Culturally Relevant Pedagogy is a method of education that promotes an inclusive and empowered learning environment by acknowledging and valuing students varied cultural origins. CRP is especially important for tackling the ongoing achievement discrepancies encountered by high school Black Male students in the context of mathematics instruction.…

The Leading-to-Calculus Framework (LTCF) is a collection of math courses meant to prepare students for calculus. From its inception, however, scholars have marked out a number of problems with its approach, particularly for students of color: its content and activities are often too broad, its structure is too rigid, and it fails to regularly…