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In my courses I strive to create the kind of classroom environment where teachers and students are co-constructors of knowledge.
I give reason to all students as I listen to their mathematics. Teaching is not unlike editing a book where you do not have control over the content of individual chapters, but can use the contributions of others to sculpt the overall product.
Mathematics is emotional and political work that should be both comforting and uncomfortable. Provocative questions should generate curiosity, prompt students to challenge what they know, and help us all reflect on how that knowledge positions us (and others) in our world.
Whether my students are K-12 math students, preservice teachers at MU, or even veteran teachers involved in professional development, this philosophy guides my instruction. My classroom was once described by a student as “almost set up like a family of mathematicians trying to tackle whatever problem lies ahead; each of us communicating and exchanging ideas.” The imagery of a family underscores my efforts to develop a classroom community where my students feel like co-contributors who value the exchanging of ideas, even when those ideas provoke conflict or academic tension. I also appreciate the ambiguity of the phrase, “whatever problem lies ahead,” as it conveys my optimism that good questions are on the horizon, even if we don’t always know when they might arrive.
Undergraduate Courses Taught
Undergraduate Courses Taught
Mathematics for Early Childhood Teachers
Mathematics for Elementary School Teachers I
Mathematics for Elementary School Teachers II
Middle Childhood Education Courses
Mathematics for Middle Childhood Teachers: Structure of Arithmetic and Algebra
Geometry for Middle Childhood Teachers
Mathematical Structures through Inquiry
Mathematics for Secondary Mathematics Teachers and Math Majors
Pre-Calculus
Calculus
Introduction to Proof
Mathematical Problem Solving with Technology
School Mathematics from an Advanced Perspective
Graduate Courses Taught
Graduate Courses Taught
Mathematical Problem Solving with Technology
Mathematics Teaching and Learning for Understanding
Mathematics Content Through Lesson Study, K-2
Research in Mathematics Education
Algebra for Secondary Teachers
Topics in Mathematical Sciences for Teachers: Number and Operation, K-2
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