Although there has been profound evidence showing the positive correlation between spatial abilities and math performances, we still know very little about how and why spatial thinking facilitates the learning of mathematics. This dissertation unpacks several aspects of mathematics that are embedded in learning and playing an ancient and rich game…

Purpose: The purpose of this journal-ready dissertation was to determine the degree to which the economic status and ethnicity/race of Texas Grade 4 boys and girls in special education are related to their mathematics performance on Texas state-mandated assessment. In the first article, the purpose was to ascertain the effect of the economic…

Fraction proficiency is a critical milestone for students to reach, as fraction knowledge strongly predicts later math achievement. However, fractions are notoriously difficult for students to learn. The first study in this dissertation reviewed commonly used math curricula to determine if their fraction lessons used evidence-based instructional…

The math curriculum of the Montessori system of education for children ages 3-12 is distinctive, incorporating multiple manipulatives and educational practices which have theoretical and empirical support in research. However, studies investigating the math achievement and learning of Montessori students and alumni have not consistently found…

The math curriculum of the Montessori system of education for children ages 3-12 is distinctive, incorporating multiple manipulatives and educational practices which have theoretical and empirical support in research. However, studies investigating the math achievement and learning of Montessori students and alumni have not consistently found…

In this paper, we examine historically the onto-epistemological framework of mathematics education that generates cultural theses about modes of life. We pursue the idea of able bodies to think about schooling as producing kinds of people as well as their differences and divisions despite efforts for inclusion. Two historical moments in United…

Manipulatives are an effective mathematical tool to support students with disabilities in the area of mathematics. Yet, there remain inconsistencies in terms of which type -- concrete or virtual -- is more effective for students with disabilities working on algebra related content and which type is preferred by students. The researchers used an…

This paper presents a case study conducted by two universities seeking to explore Open Education Resources (OER) in their precalculus course. Students not only gained access to their textbook for free on the first day of class, but also Lumen OHM, an online mathematics assessment platform. The majority of students involved in the study were…

The state mandated College Credit Plus (CCP) program in Ohio has grown significantly for several years. Many general education core courses are being offered to high school students, on-premises or in a partnering university. In mathematics, students can complete pre-calculus courses while in high school. In forming the partnerships with high…

The purpose of this qualitative study was to understand how undergraduate math students perceive their learning in an online learning environment. A review of the literature revealed a need for additional qualitative research on the perceptions of students in the online learning environment. The specific elements of interest were technology,…

It is crucial to examine the alignment of different exam results conducted by various organizations to improve the quality of assessment. The research used a document analysis method with recent, publicly available national and international reports addressing the research question. The following main question was examined through the document…

This article presents a latent class model for multilevel data to identify latent subgroups and estimate heterogeneous treatment effects. Unlike sequential approaches that partition data first and then estimate average treatment effects (ATEs) within classes, we employ a Bayesian procedure to jointly estimate mixing probability, selection, and…

This paper aims to examine the extent to which pre-service teachers' mathematical connection skills were promoted through the course designed within the scope of pedagogies of practice (Grossman et al. [2009]. Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055-2100.…

The purpose of the study is to evaluate how prospective mathematics teachers (PMTs) modify tasks to facilitate students' learning of pattern generalization through the use of their mathematical knowledge for teaching. Case study, which is a type of qualitative research method, was used to determine the mathematical characteristics that PMTs use…

Consequential validity (often referred to as "test fairness" in practice) is an essential aspect of educational measurement. This study evaluated the consequential validity of the Research-Based Early Mathematics Assessment (REMA). A sample of 627 children from PreK to second grade was collected using the short form of the REMA. We…