20032022

Research activity per year

Personal profile

Teaching Experience

M109 Indigenous ways of knowing in STEM (F 2024; F 2025)

M132 Number and operations for K-8 teachers (F 2015; S 2016; F 2016; S 2017; F 2017; S 2018; S 2019; S 2020; F 2020)

M172 Calculus II (F 2024)

M326 Number theory (S 2025)

M429 History and nature of mathematics (S 2017)

M500 Current mathematics curricula (S 2016; S 2017; S 2019; F 2024)

M510 Problem solving for teachers (F 2017; F 2019)

M572 Algebra for teachers (Sum 2016; Sum 2018; Sum 2020; Sum 2022) 

M573 Geometry for teachers (Sum 2024)

M574 Probability and statistics for teachers (Sum 2017; Sum 2021; Sum 2023)

M595 Philosophy of education and mathematics education (S 2022)

M595 Advanced research methods in math education (F 2022)

M596 Qualitative research methods (S 2018)

M596 Teaching and learning in Calculus (S 2019)

M602 Teaching college math (F 2016; S 2020; S 2025)

M609 Research methods in mathematics education (F 2025)

STAT 216 Introduction to statistics (F 2020; S 2021; F 2021; S 2022; F 2022; S 2023)

EDU497 Secondary math methods (F 2025)

Research Interests

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. However, I find it productive to focus different strands of my research on particular aspects, as described in the "Projects" section, below.

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 3 - Good Health and Well-being

Education/Academic qualification

Bachelor, Carnegie Mellon University

Master, University of Colorado Boulder

PhD, University of Colorado Boulder

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Collaborations and top research areas from the last five years

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