Learning involves a complex and interactive engagement with ideas, facts and strategies within a given discipline. My own discipline of mathematics education engages me with learning from many perspectives, and it challenges me to address a wide range of development, from students at the Pre-Kindergarten level up to graduate students and undergraduate students intent on becoming teachers themselves. Regardless of the learning situation, I look at the teaching and learning processes through a consistent framework that highlights the engagement of a learner with their situation and environment. Learning trajectories are conceptual tools I use to frame learning as an increasingly sophisticated process that involves passages from one level of thinking to another, identifying a level, accounting for reasoning with mental objects, and specifying tasks to prompt growth. Teaching requires a vigilant engagement with learners from the standpoint of such trajectories as instructional maps and toolsets.
Courses I regularly teach
- MAT 131 Geometric Reasoning (Quantitative Reasoning middle core requirement)
Other Course I’ve taught
Undergraduate Courses
- MAT 130 – Dimensions of Mathematical Thinking
- MAT 152 – Structure of Number Systems II
- MAT 201 – Teaching Mathematics in the Elementary School
- MAT 202 – Math for the K-8 Specialist
- MAT 204 – Geometry for K-8 Teachers
- MAT 302 – Teaching Mathematics in Grades 5-8
Graduate Courses
- MAT 401 – Current Research in School Mathematics
- MAT 402 – Instructional Strategies for Elem. And Jr. High Mathematics
- MAT 403 – Theories of Mathematical Learning
- MAT 422 – Topics in Geometry for Teachers
- MAT 429.09 – Enhancing Middle-School Students’ Geometric Reasoning through Computer-Based Technology
- MAT 429.10 – Teaching Problem Solving in Grades K-4: Using Extended tasks in Geometry and Measurement
- MAT 580 – Mathematical Thinking and Learning (Advanced cognitive accounts of learning)
- MAT 585 – Topics in Mathematics Education Seminar:• Geometry Learning, Spring, 1999,• Design-Based Methods of Research, Summer, 2003,
- Learning Environments, Fall 2006.