This study aims to develop an evaluation framework to assess the mathematical deductive reasoning competence (MDRC) of eighth-grade students in China based on Program for International Student Assessment (PISA) and Trends in International Mathematics and Science Study (TIMSS). The framework includes four dimensions of MDRC: cognitive level,…

In real-world settings, vision language models (VLMs) should robustly handle naturalistic, noisy visual content as well as domain-specific language and concepts. For example, K-12 educators using digital learning platforms may need to examine and provide feedback across many images of students' math work. To assess the potential of VLMs to support…

The purpose of this dissertation was to extend the literature base for teaching students with intellectual and developmental disabilities (IDD) mathematics and self-determination skills using an evidence-based practice called modified schema-based instruction (MSBI). Chapter one provides the rationale for teaching both mathematics and…

A quantitative literacy course titled "Computational Geology" has been taught at the University of South Florida for over 20 years at the undergraduate level, largely by the same professor. Due to the extended course tenure, a unique opportunity presented itself to qualitatively study what the perceived broader impacts of the course were…

States and school districts endeavoring to improve learning outcomes for young children typically focus on literacy, not math. Math is often overlooked in improvement initiatives, and it gets far less instructional time than literacy in preschool and the early grades. While literacy skills are unquestionably critical, so are math skills. Math…

We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

The aim of this study is to examine the effect of a digital game designed within the framework of hierarchic interactionalism theory on the development of the concept of area in secondary school students. The digital game used in this study was designed after being influenced by the preliminary concepts and skills related to the concept of area…

Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…

This study used a mixed-methods design to examine teachers' responses to professional learning on mathematics differentiation. Grade 3 classroom teachers (N = 28) attended four 2-h professional learning sessions and an additional 2 h individually on differentiation and completed pre- and post-surveys with quantitative and short response items…

Considering the prevalence of mathematics teacher shortages in the United States, together with declining enrollments in teacher preparation programs, it is crucial for districts and teacher preparation programs alike to investigate new recruitment initiatives. In this pilot study, a university aimed to increase high school students' interest in…

This study aimed to examine the quality of the open-access GeoGebra applets for function transformations by attending to the opportunity to learn function transformations afforded by them. Guided by the variation theory, this study conceptualized the opportunity to learn function transformations as the opportunity to discern critical features of…

Early identification of at-risk students for timely intervention is critical to prevent non-completion of study programs. This article proposes a flipped class framework to support the academic success of at-risk students in an undergraduate Calculus course. It comprises three main components of setting, conduct, and monitoring. A flipped support…

The purpose of the study was to investigate the relationship among the knowledge proposed by school curriculum, the content offered by a mathematics teacher, and what was acquired by students regarding quadrilaterals in the 5th grade, using Didactic Transposition Theory. To examine the transposing process, a case study involving a mathematics…

Exercise is essential for mastering mathematics, but it faces two major hurdles. First, students are often not motivated to do their homework. Second, checking traditional homework is a manual and labor-intensive process that becomes harder to support as the number of students increases. We argue that computer games could alleviate both problems.…

Computational thinking (CT) has received much attention in mathematics education in recent years, and researchers have begun to experiment with the integration of CT into mathematics education to promote students' CT and mathematical thinking (MT) development. However, there is a lack of empirical evidence and new theoretical perspectives on the…