Course Description

COMPULSARY COURSES

MEDU 571 Quantitative Research in Mathematics Education

Quantitative research designs and statistical foundations in mathematics education. Fundamental concepts in probability and statistics. Characteristics of data collection tools. Descriptive and inferential statistics. Estimation, hypothesis testing, correlation and regression.  Non-parametric techniques, univariate and multivariate techniques, factor analysis. Analysis of validity and reliability criteria in quantitative studies.

MEDU 576 Qualitative Research in Mathematics Education

Qualitative research designs in mathematics education. Criteria for qualitative analysis. Data collection methods such as artifact collection, interviewing, and video analysis. Ethical considerations in qualitative research. Comparison of selected research designs in terms of purpose and method. Writing and presenting a critique of reviewed studies conducted by using different qualitative designs.

MEDU 516 Instructional Design for Mathematics Education

Fundamental learning theories and their applications in mathematics education. The nature and principles of instructional design for teaching Mathematics. Contemporary approaches, methods, and strategies for teaching mathematical concepts. Problem-based learning, mathematical modeling, inquiry-oriented instruction, STEM integration, and technology-enhanced learning environments. Development of instructional materials, tasks, activities, and assessment tools aligned with mathematics learning outcomes.

MEDU 579 Graduate Seminar  

Seminars offered by faculty, national and international guest speakers and/or graduate students. Introducing current research topics and trends. Discussion of research and publication ethics.

MEDU 690 Master’s Thesis

An independent research process in which a student, under the academic guidance and supervision of a thesis advisor, designs, conducts, and completes a scientific study on a specific problem or topic they have identified in the field of mathematics education.

ELECTIVE COURSES

MEDU 522 International Perspectives in Mathematics Education

Critical review of mathematics education in different countries. Analysis of social change and its impact on formal and informal educational trends in mathematics education. In-depth case studies of mathematics education based on evidence from international assessments.

MEDU 524 Differentiation in Mathematics Education

Inclusive and differentiated approaches in mathematics education for diverse learners and students with special educational needs. Strategies for addressing underachievement and learning difficulties in mathematics. Design of supportive learning environments and adaptation of mathematics instruction, materials, and assessment to meet diverse learning needs.

MEDU 540 Cognitive Processes in Mathematics Education

Analysis of relevant cognitive constructs for learning mathematics. Current neurobiological models for mind, brain, and learning. Design and development of tools and practices for effective cognitive and metacognitive processes in mathematics education.

MEDU 511 Curriculum Development in Mathematics Education

The principles, theories, and processes of curriculum development in mathematics education. Curriculum design models, needs analysis, learning outcomes and standards in mathematics education. Selection and organization of science content, instructional planning, assessment, and evaluation. Contemporary issues and reforms related to mathematics curricula. Development, analysis, and evaluation of mathematics curriculum for diverse learning needs.

MEDU 560 Theories in Mathematics Education

Examination of the primary theoretical approaches and frameworks used in mathematics education. Cognitive, sociocultural, constructivist, and critical theories and their implications for mathematics teaching and learning. A comparative analysis of different theoretical frameworks and their effects on academic research.

MEDU 561 Cognitive Development and Research in Early Mathematics Education

Theoretical approaches and current research trends examining the development of mathematical thinking in early childhood. Cognitive foundations of number sense, spatial reasoning, and early algebraic thinking. Learning trajectories model for analyzing the stages of children’s conceptual development. Mathematical understanding processes, task design, clinical interview methods, and microgenetic research designs. Analysis of socio-cultural and interactive learning environments supporting early mathematical cognition.

MEDU 563 Research on Advanced Technologies in Mathematics Learning

Current research trends and approaches in advanced technology of mathematics education. Mathematical conceptualization and semiotic processes in digital environments. Cognitive effects of intelligent teaching systems and data-driven models on mathematical problem solving. Design, implementation, and evaluation of technology-supported mathematics learning environments. The role of digital tools in mathematical proof, generalization, and modeling.

MEDU 564 Computational Thinking and the Epistemology of Mathematics

Transformation of the nature of mathematics through computational thinking tools such as simulations, automated proof systems, and dynamic environments. Experimental mathematics. Integration of computer modeling into mathematics curricula. Implications for cognitive learning theories.

MEDU 566 Development of Algebraic Thinking

Cognitive and theoretical foundations of algebraic thinking. Various meanings of algebraic thinking, algebraic learning and instruction. Analyses of the development of algebraic thinking across different ages and learning levels. Research-based approaches in the context of mathematics education.

MEDU 567 Research in Statistics and Data Science Education

Intersections of learning, curriculum, and instructional frameworks applied to statistics and data science education. Research on statistical cognition, epistemological beliefs, and discipline-specific forms of reasoning. Technological tools supporting teaching and learning of statistics and data science. Design and evaluation of assessment approaches for investigating statistical thinking and data literacy.

MEDU 568 Development of Geometric Thinking

Theoretical frameworks and research on geometric thinking and learning. Spatial reasoning and visualization in geometry. Students’ understanding of geometric concepts, proof, and reasoning. Instructional design principles for geometry learning. Use of digital technologies and manipulative tools in geometry learning.

MEDU 569 Mathematical Modeling and Applications in Education

Models and modeling in mathematics education. Formulating, analyzing, and refining mathematical models for real-world phenomena. Cognitive and pedagogical aspects of engagement in modeling activities. Representations, assumptions, and validation in the modeling cycle. Design, implementation, and evaluation of modeling tasks.

MEDU 572 Readings on Recent Research in Mathematics Education

Critical reading, discussion, and evaluation of recent research articles from leading journals in mathematics education. Preparation and presentation of literature review reports.

MEDU 580-589, 591-598 Special Topics in Mathematics Education

Guided reading and studies aimed at producing a significant research project in a specific field of interest.