My research draws on two traditions in mathematics education and the learning sciences: Realistic Mathematics Education (RME) and cultural-historical perspectives on learning. RME starts with the premise that mathematics is, first and foremost, an activity, the human activity of structuring the world. Cultural-historical perspectives on learning are also concerned with human activity. From a cultural-historical perspective, the primary features of human activity are (a) that it is productive, and (b) that it is intertwined with the products of prior activity. Thus my research examines the following big question:

“what gets produced as people engage in mathematical activity?”

In short, my answer is, activity, artifacts, community, and identity are all “productively intertwined,” with each producing and being produced by, the others.

I view all aspects of this mutual production to be at play in all mathematical activity.

M109 Indigenous ways of knowing in STEM

M132 Number and operations for K-8 teachers

M172 Calculus II 

M326 Number theory

M429 History and nature of mathematics

M500 Current mathematics curricula

M510 Problem solving for teachers 

M572 Algebra for teachers  

M573 Geometry for teachers

M574 Probability and statistics for teachers 

M595 Philosophy of education and mathematics education

M595 Advanced research methods in math education 

M596 Qualitative research methods

M596 Teaching and learning in Calculus

M602 Teaching college math 

M609 Research methods in mathematics education 

STAT 216 Introduction to statistics

EDU497 Secondary math methods