STEM Center Africa

Promoting STEM Education in Africa and Beyond

This section contains works (authored or co-authored; published or presentations) from my ongoing Ph.D. studies in mathematics education at Montclair State University. Learn more about our Maker Project


Published/submitted

  1. Akuom, D. O., & Greenstein, S. (2022). The Nature of Prospective Mathematics Teachers’ Designed Manipulatives and their Potential as Anchors for Conceptual and Pedagogical Knowledge. Journal of Research in Science, Mathematics and Technology Education. [Link]

  2. Akuom, D., Greenstein, S., & Fernández, E. (to appear) Mathematical Making in Teacher Preparation: Research at the Intersections of Knowledge, Identity, Pedagogy, and Design. Paper to be presented at the 44th Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Nashville.

  3. York, T, Greenstein, S, and Akuom, D. (to appear). Embodying Covariation Through Collaborative Instrumentation. Paper to be presented at the 44th Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Nashville.

  4. Akuom, D., & Greenstein, S. (2021, Submitted). Prospective Mathematics Teachers' Designed Manipulatives As Anchors For Their Pedagogical and Conceptual Knowledge [PDF]

  5. Akuom, D., & Greenstein, S. (2020). Prospective Teachers’ Design Decisions, Rationales, and Resources: Re/claiming Teacher Agency Through Mathematical Making [PDF]

  6. Pomponio, E., Greenstein, S., & Akuom, D. (under review). Finding Harmony in Dissonance: An Enactivist Analysis of Mathematical Problem Solving Across Multiple Artifacts.

  7. Greenstein, S., Akuom, D., Pomponio, E., Fernández, E., Davidson, J., Jeannotte, D., & York, T. (in press). Vignettes of Research on the Promise of Mathematical Making in Teacher Preparation

  8. Pomponio, E., Greenstein, S., & Akuom, D. (under review). The Pursuit of Harmony: An Enactivist Analysis of Knowing within an Ecology of Mathematical Problem Solving.

  9. Greenstein, S., Jeannotte, D., Fernández, E., Davidson, J., Pomponio, E., & Akuom, D. (2020). Exploring the Interwoven Discourses Associated with Learning to Teach Mathematics in a Making Context. In A.I. Sacristán, J.C. Cortés-Zavala & P.M. Ruiz-Arias, (Eds.). Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mexico (pp. 810-816). Cinvestav/AMIUTEM/PME-NA.

  10. Pomponio, E., Greenstein, S., & Akuom, D. (2020). Making Sense of Senseless Things: An Enactivist Analysis of Harmony and Dissonance in Problem Solving. In A.I. Sacristán, J.C. Cortés-Zavala & P.M. Ruiz-Arias, (Eds.). Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mexico (pp. 1015-1016). Cinvestav/AMIUTEM/PME-NA.

  11. Pomponio, E., Davidson, J., Greenstein, S., Fernández, E., Jeannotte, D., & Akuom, D. (2020, October 10-11). ReMaking Teacher Learning: Designing Objects-to-Teach-With to Promote Mathematics Education Reform [Panel Presentation]. FabLearn 2020 Conference – Making as Resistance and Resilience, Columbia University, Teachers College, NY.

Presentations

This section contains presentations from research that were presented at various conferences.

Prospective Mathematics Teachers’ Designed Manipulatives As Anchors for Their Pedagogical and Conceptual Knowledge

This research findings illustrate how the designs possibly mediate – or be some sort of anchor for – the PMTs pedagogical visions

The Personal, Pedagogical, And Problem-Solving Possibilities of Mathematical Making in Teacher Preparation [Link]

In this presentation, we share what we’ve learned about how the designing and testing of 3-D printed manipulatives by prospective elementary mathematics teachers (PMTs) acts as a creative process that reveals the potential benefits of mathematical Making in teacher learning. [Link]

Prospective teachers’ design decisions, rationales, and resources: Re/claiming teacher agency through mathematical making [Link]

This paper shares findings that convey the diversity of design decisions, rationales, and mediating resources that entailed PMTs’ mathematical Making. [Link]

Ongoing research/proposals

  1. Exploring preservice teachers’ knowledge development through Making, specifically, how their engagement in 3-D designing and printing, and subsequently practicing with the manipulative designed supports their teaching and learning of mathematics.


  1. Navigating meaning-making in the collaborative problem-solving environment: Differences in teacher and student's thinking, meaning, naming, perception, and doing of fraction problems


  1. Students' reasoning and argumentation of taxi-cab mediated by the scratch programming environment