Mathematics is the language of science, engineering, technology, finance, and many other professions and institutions. For these reasons, investigating how people understand mathematics, how to identify individuals who are exceptional or at-risk for difficulties, and how best to teach mathematics are critical questions for our researchers. We address these questions from a variety of perspectives in research projects spanning from the laboratory to the classroom to online contexts.
Dr. Bart (psychological foundations of education) investigates the cognitive and educational effects of origami training, a form of school-based instruction commonplace in Israel and East Asian countries such as Japan and Korea. Origami training facilitates understanding of key mathematical concepts in geometry such as shape congruence.
Dr. Codding (school psychology) investigates the effectiveness of preventative and intensive intervention strategies for elementary and middle school children who are lagging behind their peers in mathematics. She also evaluates how data can be used to provide a more effective treatment match for students with mathematics difficulties.
Dr. delMas, and Zieffler (quantitative methods in education) are statistics education researchers investigating how students understand statistical concepts such as sampling variability and the logic of statistical inference. They are also developing innovative curricula for teaching statistics to college students from a modern, simulation-oriented perspective, as well as assessments for measuring students’ statistical reasoning and understanding.
Dr. Varma (psychological foundations of education) is a cognitive scientist who conducts behavioral, lab-based studies investigating how people understand abstract mathematical concepts such as irrational numbers. He is currently developing measures of mathematical insight, mathematical intuition, and other abilities that may predict success in STEM disciplines in college.
Recent research in cognitive science is shedding new light on the long-standing question of how people understand mathematics. This course provides a review of this research. We read papers investigating how adults, children, and non-human primates understand fundamental mathematical concepts such as number, arithmetic, and algebra. The papers are drawn from the psychology, neuroscience, and education literatures.
In this course, students review classic and current research related to the teaching and learning of statistics from the psychology, education, and statistics education literature. Each semester, the course focuses on a particular topic and set of related research questions (e.g., statistical thinking).
In this course, current trends (e.g., school wide discipline, models of collaboration, and diversity) are investigated by formulating research projects. Students write a media piece describing an issue and its impact on the community.
Theories, research, and practice underlying instructional/academic interventions for students. Systems consultation, organizational change.
Theories, research, and practice underlying socio-emotional interventions for students. Systems consultation/organizational change.