# Amy Ellis

## Biography

### Interests

- Mathematics education
- Algebra and algebraic reasoning
- Generalization and proof
- Student learning and cognition
- Middle-school and secondary education
- Mathematical Play

### Education

- Ph.D. in Mathematics and Science Education, 2004

University of California at San Diego - M.A. in Mathematics, 1998

California State University, San Jose - B.A. in Mathematics, 1993

Washington University in St. Louis

### Concentrations

## Contact

## Research Summary

My scholarship is focused on supporting students’ learning in middle school, high school, and at the undergraduate levels. I study student reasoning, particularly as it relates to algebra, generalization, and proof, as well as teachers’ pedagogical practices aimed at fostering meaningful student engagement. More recently, I have started studying mathematical play, and how to support students’ playful engagement in mathematical ideas.

I have received fifteen grants from national and state organizations including the National Science Foundation and the Institute of Education Sciences. I currently serve as the PI on two projects. One is an NSF-funded project investigating classroom practices that foster mathematical generalizations. This work includes scaling up findings from twelve years of teaching experiment studies to the whole-classroom level, in which my colleagues and I work with teachers to support their implementation of research-based units in algebra.

The second project is supported by an internal grant investigating what happens when we playify classroom math tasks. I have developed task design principles to foster mathematical play with adolescents and undergraduates in algebra and calculus, and my research team and I are studying the characteristics of students’ mathematical play and the learning that occurs when engaged in mathematical play.