I am a mathematics educator interested in students' mathematical reasoning and how instructional tools may be designed and leveraged for classroom use. I study how secondary students reason about algebra through the use of instructional videos featuring dialogue (i.e., dialogic math videos). I am also curious about students' development of quantitative reasoning, specifically through engaging with dialogic mathematics videos.
This project investigates the utility of an alternative model for online mathematics videos that features unscripted dialogue of pairs of students. The project also seeks to better understand the vicarious learning process, which is learning from video- or audio-taped presentations of others learning.
My role in the project has involved assisting in developing and producing the videos. I have also served as a research assistant in the data collection and analysis of students' mathematical learning from the videos.
Read our article in MTLT about challenges and resolutions that a pair of students faced when making sense of algebraic expressions in context during the filming process.
The project is supported by The National Science Foundation through Award DRL-1907762, Developing and Investigating Unscripted Dialogic Mathematics Videos, Joanne Lobato (PI, SDSU) and John Gruver (Co-PI).
This project investigated how 7th-grade students with different levels of English-language proficiency "reason abstractly and quantitatively," as they engaged with dynamic representation technology-based and paper-based activities (SimCalc) that addressed the content area of linear functions. I served as a data coder for this project.
The project was supported by the National Science Foundation Award DRL-1534626, Investigating How English Language Learners Use Dynamic Representational Technology to Participate in Middle School Mathematical Practices, Philip Vahey (PI), Teresa Lara-Meloy (Co-PI), and William Zahner.
EQUIP (Electronic Quality of Instruction Protocol) is a free, web-based classroom observation tool that offers visual representations of classroom participation by ascribing students to different social marker groups. EQUIP was developed by Dr. Niral Shah and Dr. Daniel Reinholz to help faculty address implicit biases that may potentially limit the participation of women, students of color, people with differing abilities, and other underrepresented groups in STEM.
My role in this project consisted of creating tutorial videos for educators to learn to use EQUIP and as a research assistant.
Read about our publication, which explored how faculty used EQUIP to promote equitable practices during the COVID-19 pandemic here.
This project is supported by the National Science Foundation through Award DUE-1943146 Data Analytics for Equity: Supporting STEM Faculty to Address Implicit Bias in the Classroom, Daniel Reinholz (PI).
This project explored the impact of Departmental Action Teams (DATs). A DAT is a group comprised mostly of faculty (but including postdocs and students) within a single academic department. DATs serve to address an educational issue of interest to the department, to sustain improvements made in solving (or improving) a departmental issue by creating lasting structural and cultural changes, and to provide a community-building experience for DAT members.
As a research assistant, I contributed to the writing of a literature review of change theory. Read our systematic review on change theory here.
This project was supported by the National Science Foundation through Award DUE-1626565, Departmental Action Teams: Sustaining Improvements in Undergraduate STEM Education through Faculty Engagement, Joel Corbo (PI), Noah Finkelstein (Co-PI), and Daniel Reinholz (Co-PI).
As part of my work with the numerical semigroups research group under the advisement of Dr. Christopher O'Neill, we considered shifted families of affine semigroups, and demonstrated that some, but not all, shifted families of 4-generated affine semigroups have arbitrarily large minimal presentations. Read about our work here.
Our publication was based on my master's thesis at San Diego State University. A link to the slides can be found here.