In this study, the mathematics of carpet will be introduced by presenting the lifestyle of two expert carpet-weavers from Kerman, Iran, who work for many years in carpet-weaving activities through an explanation of carpet weavers' culture. This explanation reveals that carpet weavers can do mathematics and solve related real-world problems without…

To leverage pedagogies of approximation to improve teacher education, educational researchers must first tackle the methodological question, "How can we determine the potential of pedagogies of approximation for supporting the growth of prospective teachers' knowledge and practices for teaching?" In this paper, we offer a model called…

The enrollment in lower-level mathematics courses has been on the increase in the last decade. It has been estimated that the DFW rate may rise to the level of 50% in courses that can be classified as college algebra. Numerous interventions have been utilized for college algebra and other mathematics classes to help students, including…

This mini-ethnographic study investigated the role of the student-teaching experience on removing student teachers' math anxiety. Data were collected from four elementary student teachers using semi-structured individual and group interviews during the second phase of their student-teaching period. Thematic content analysis was used to analyze…

Many factors are known to affect mathematics education. The purpose of this quantitative, correlational study was to examine if there is a predictive relationship between Mathematics Self-Efficacy and Mathematics Anxiety and whether or not Mindfulness moderates this relationship in preservice teachers. Theoretical foundation for the study included…

The purpose of this quantitative comparative research was to determine if there was a statistically significant main effect of teaching method (project-based vs traditional) on second-grade students' learning in mathematics and if gender differences exist between the scores of male and female students in general and the scores of male and female…

This research study sought to determine the effects of Flipped Classroom Instruction (FCI) on middle-grade students' mathematics achievement. In an FCI environment, students are initially exposed to new content outside of the classroom, through screencasts and assigned readings; class time is reserved for answering questions and engaging students…

After nationwide school closures due to COVID-19, virtual learning environments (VLE) have seen tremendous increase in usage. The current study identified teacher activities for orchestration using an Algebra VLE during school closures, and whether these activities were related to student achievement. In May 2020, we collected survey data on how…

Mathematics teacher education programs vary widely in the learning opportunities they offer to prospective teachers. Improving the quality of teacher education necessitates an understanding of which of these learning opportunities have the largest impact on teacher preparedness. To understand this, there must be a meaningful method for assessing…

This research focuses on a dual mediation model designed to describe the learning process of sixth grade students practicing mathematics to improve Mathematics Operation Proficiency while experiencing different forms of feedback. The variables of interest in this study are the predictor variable feedback type, the mediating variables of Affective…

Methods of teaching differential equations (DE) have long focused on rote analytic solution methods that align poorly with more industry-relevant numerical and computational methods. Engineering and mathematics educators agree that there is a need to shape DE curricula to reflect the mathematical practices of the disciplines whose students take…

We need a critical mathematics. Our ability to enact social change through teaching mathematics and through critical research in mathematics education is severely limited by the canon of mathematical knowledge and the ideology that declares mathematical knowledge as certain. In this dissertation I extend Carspecken's critical action theory to…

Word problem solving is the premise for students to generalize their problem solving skills to real world problems. This includes students with autism spectrum disorder (ASD) and intellectual disability (ID). Modified Schema-based Instruction (MSBI) is one strategy that research has shown is effective for teaching students with ASD/ID to acquire…

Drawing from a qualitative approach and through individual "pláticas" (processes of co-constructing knowledge through dialogue) as a linguistic and cultural framework, this work explored informal contextual factors valued by Spanish-speaking Latina mothers of children, three to five years of age and enrolled in a nonprofit California…

A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…