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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

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.
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