Publications
The Our Mathematical World Series is a set of five books that are designed to demonstrate the PULSE problem-solving approach in action. PULSE stands for Pause, Understand and remember, Lay it out, Solve, and Evaluate. This is a research-based approach to solving math problems. Try following along with Pilar, Uriah, Lamar, Simone, and Eduardo as they showcase the PULSE approach to solve the math problems they encounter in their community. The books are available in both English and Spanish.
Selected Publications
- Mayes, A. S., Hornburg, C. B., McElveen, T. L., Schmitt, S. A., Andres-Salgarino, M. B., Powell, S. R., & Purpura, D. J. (2024, April). Co-designing for equity in mathematical learning. In S. Beltram-Grimm (Chair), Why we co-design: Applying co-design methods for inclusive learning in collaboration with families and educators. Paper to be presented at the Annual Meeting of the American Educational Research Association (AERA), Philadelphia, PA.
- Acevedo-Farag, F., Bustamante A., Mayes, A., & Smith, A. (2023, March). Our mathematical world. In D. Purpura (Chair), The strengths, challenges, and lessons learned about co-design: An equity-based approach to designing instructional materials. Conversation roundtable presented at the Biennial Meeting of the Society for Research in Child Development (SRCD), Salt Lake City, UT.
- McElveen, T. L., Hornburg, C. B., Mayes, A. S., Miller-Cotto, D., Andres-Salgarino, M. B., Schmitt, S. A., Powell, S. R., & Purpura, D. J. (2023, March). Associations between communal socialization and the math identity and performance of minoritized elementary students. In T. L. McElveen (Chair), The measurement of sociocultural equity in preschool through elementary envrionments. Paper presented at the Biennial Meeting of the Society of Research in Child Development (SRCD), Salt Lake City, UT.
- Hornburg, C. B., Mayes, A. S., Letts, D., Kunze, S., & Diaz, A. (2023, April). The Our Mathematical World inclusive R&D approach: Math storytelling and storybuilding. In A. Francisco & K. Lange (Chairs), Centering student and educator voice and expertise in inclusive, equity-centered research and development. Paper presented at the Annual Meeting of the American Educational Research Association (AERA), Chicago, IL.









