Course Description
COMPULSARY COURSES
MEDU 610 Epistemology and Learning in Mathematics Education
Nature and forms of mathematical knowledge, knowing, and learning processes. Examination of the theoretical foundations of personal and scientific epistemology and their relationship to mathematics education in the context of individual and social knowledge construction.
MEDU 611 Advanced Quantitative Research in Mathematics Education
Advanced statistical methods for educational research. General linear models, regression, analysis of variance (ANOVA) and analysis of covariance (ANCOVA). Application of statistical methods and evaluation of quantitative studies.
MEDU 612 Advanced Qualitative Research in Mathematics Education
Theoretical assumptions underlying qualitative research and review of selected designs. Evaluation of qualitative research studies in mathematics education. Principles of planning and conducting a qualitative research stu
MEDU 700 Graduate Seminar
Seminars offered by faculty members, invited speakers, and graduate students to broaden the perspectives and raise awareness of students on issues relevant to mathematics education and expand their range of scientific research techniques and publication ethics.
MEDU 790 Doctoral Dissertation
Design and completion of an original research project on a major topic within the student’s specific area of interest, under the supervision of a thesis advisor.
ELECTIVE COURSES
MEDU 613 Applied Regression Methods
Transformations in regression analysis. Taxonomies of regression models. General linear hypothesis testing. Introduction to multilevel modeling. Nonlinear regression. Binomial logistic regression. Principal components analysis. Cluster analysis. Introduction to discrete time survival analysis. Conceptual explanations of statistical techniques.
MEDU 624 Multivariate Research
Measurements in school and non-school settings. General design classifications. Complex independent group designs. Mixed factorial designs. Multiple analysis of variance (MANOVA). Practical and ethical issues. Reporting in multivariate research.
MEDU 628 Meta-analytic Methods
Introduction to meta-analysis. Research questions in meta-analysis. Inclusion and exclusion criteria in meta-analysis. Coding studies. Effect size computation and comparison. Reporting meta-analytic results.
MEDU 632 Designing Advanced Learning Technologies in Mathematics Education
Human-centered design principles. Interactive interfaces in mathematical and embodied cognition. Prototyping of augmented and virtual reality (AR/VR). Generative artificial intelligence. Tangible user interfaces for learning environments. Pedagogical integration of advanced technologies through design-based research methodologies.
MEDU 640 Self-Regulation in Mathematics Education
Self-regulation theories in mathematics education. Cognitive metacognitive motivational and affective dimensions of self-regulation. Research on self-regulation in mathematics teaching and learning. Design of mathematics learning environments through self-regulation theories.
MEDU 642 Learning Analytics, Data, and Society in Mathematics Education
Potential risks and societal impacts of learning analytics and big data in mathematics education. Opportunities and ethical dilemmas in tracking and evaluating educational data. Algorithmic bias data privacy and validity issues. Strategies to mitigate risks. Socio-technical and critical examination of emerging educational data systems in mathematics education.
MEDU 646 Comparative Studies in Mathematics Education
National and international perspectives on mathematics education. Theoretical underpinnings of comparative mathematics education. International and comparative studies in mathematics education. Results and impacts of comparative studies in mathematics education. Critical evaluation of research trends and policies in mathematics education.
MEDU 680-689, 691-698 Special Topics in Mathematics Education
In-depth examination of specific topics in mathematics education.
MEDU 699 Guided Research
Research in mathematics education under the supervision of faculty members. Preparation and presentation of a research proposal.