The Role of Cultural Mathematical Caring Relations in Supporting Two Latina Undergraduates’ Rate of Change Development within a Constructivist Teaching Experiment: An Anti-Deficit Investigation Bridging Sensemaking and Cultural Experiences

Author

Christopher Orlando Roman, Portland State UniversityFollow

Sponsor

Portland State University. Department of Mathematics and Statistics

First Advisor

Steven Boyce

Term of Graduation

Spring 2025

Date of Publication

5-22-2025

Document Type

Dissertation

Degree Name

Doctor of Philosophy (Ph.D.) in Mathematics Education

Department

Mathematics and Statistics

Language

English

Subjects

Cognition, Cultural Mathematical Caring Relations, Culturally Responsive Mathematics Education, Equity, Latina Students Mathematical Sensemaking, Rate of Change

Physical Description

1 online resource (xii, 456 pages)

Abstract

This study introduces cultural mathematical caring relations (CMCRs) as a framework that extends Hackenberg's mathematical caring relations by integrating two tenets of culturally relevant pedagogy: academic achievement and cultural competence. Framed within radical constructivism, CMCRs prioritize students' cognitive growth and development while affirming their cultural and experiential identities by embedding their funds of knowledge into the learning process. Through a constructivist teaching experiment with two Latina students, Yari and Jocelyn, this research investigates how working to establish and maintain CMCRs can influence Latin* students' rate of change development.

Findings illustrate that CMCRs supported the development of Yari and Jocelyn's rate of change reasoning, even when their progress did not align neatly with traditional developmental frameworks. The study also identifies four key factors that shaped the success and challenges of working to establish and maintain CMCRs: (1) teacher decisions, (2) the role of students' funds of knowledge in their mathematical reasoning, (3) witness-researcher support, and (4) external influences on students' mathematical growth.

Ultimately, this work challenges deficit discourses about Latin* students in mathematics by showcasing how CMCRs highlight the assets in their cultural and lived experiences, as well as the strengths in their mathematical reasoning. It demonstrates that CMCRs can maintain mathematical rigor while simultaneously valorizing students' funds of knowledge, inviting a reimagining of what counts as "meaningful" in cognitive research.

Rights

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Persistent Identifier

https://archives.pdx.edu/ds/psu/43884

Recommended Citation

Roman, Christopher Orlando, "The Role of Cultural Mathematical Caring Relations in Supporting Two Latina Undergraduates’ Rate of Change Development within a Constructivist Teaching Experiment: An Anti-Deficit Investigation Bridging Sensemaking and Cultural Experiences" (2025). Dissertations and Theses. Paper 6836.