Teachers' ability to elicit and use evidence of student thinking during instruction is critical in high-quality mathematics instruction. The practice of anticipating students' mathematics supports teachers in noticing and being prepared to respond to student thinking during in-the-moment instruction. To date, most research on anticipating has…

Creativity and collaboration are key components of a mathematician's work, and thus in the preparation of future mathematicians, undergraduate mathematics courses should aim to develop students who can effectively work collaboratively and creatively with one another. Despite this need, research on mathematical creativity has primarily investigated…

In this dissertation, I report results from a study that investigated the impact of students' engagement in a series of tasks in an introductory proof course that was designed to stimulate their learning of reading strategies to support their comprehension of mathematics proofs. Specifically, I investigated the impact of the design of five…

The purpose of the study was to observe the understanding and motivation of second-grade Tier III students' achievement in skip-counting patterns by implementing music and non-music learning activities. The case study was performed using a qualitative design. A pretest-posttest and repeated measures design was used to analyze and triangulate the…

Cognitive development of eighth-grade students, as identified by Jean Piaget, occurs during a time when many of them are transitioning between concrete operations and formal operations where the ability to think in abstract concepts becomes possible. Because of this period of transition, many eighth-grade students find difficulty in demonstrating…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

The purpose of this meta-analysis was to investigate the effectiveness of the use of games as part of mathematics instruction on academic achievement in grades Kindergarten to 12 in the United States. There were 17 studies selected for investigation published from 2010 to 2023 that focused on game-based learning and mathematics. This meta-analysis…

PreK children with developmental delays in inclusive classrooms need access to math interventions helps them develop foundational math skills that are needed to succeed during their K-12 education. Research is significantly lacking that addresses increasing math skills for children with disabilities in PreK classrooms. The purpose of this study…

Mathematics achievement at school entry is the strongest predictor for eighth-grade performance, regardless of race, gender, or family socioeconomic status. Yet, California Latine children continue to lack in math proficiency, struggling with concepts such as knowledge of numbers, counting, and spatial and pattern skills development. Existing…

Girls are less likely than boys to pursue a degree or career in a mathematics-based field. Girls tend to have higher grades and similar test scores when compared with boys. However, girls' affective beliefs, including confidence, fall behind those of their male counterparts. The purpose of this study was to understand how girls perceive the…

This thesis evaluates the curricula implemented in four mother-tongue based multilingual education programs in the Philippines, Thailand, East Timor, and Cameroon. The method for conducting research in this thesis is based on the five principles to enhance learning presented by the World Bank and the prism model developed by Thomas and Collier.…

Reliance on online media in providing educational opportunities has gained tremendous momentum in mathematics education. Genre of studies that explore pedagogical practices of mathematics teacher educators in the online environment is still in infancy. Using survey method and three in-depth case studies in this work I examined pedagogical…

Technology has changed every aspect of our lives such as communication, shopping, games, business, and education. Technology has been used for decades in the teaching and learning environment in K-12 education and higher education, especially in mathematics education where the use of instructional technology has great potential. Today's students…

Place-value is an essential concept that is foundational for understanding our number system and for developing procedures for multidigit operations, but there has been limited research into the place-value understanding of students with learning disabilities. This research is a two-part mixed-methods study that links basic research to…

This study explored the relationship between mathematics teachers' participation in professional development and subsequent changes in their instructional practices. This professional development aimed to help teachers to implement high-level tasks through the use of the "five practices": anticipating, monitoring, selecting, and…