## Research

Many everyday skills such as writing a budget, altering a recipe, taking medication, deciding on health insurance or understanding ones' bills require a basic proficiency in mathematics. Indeed, demonstrating this basic proficiency is linked to overall quality of life. Unfortunately, in the U.S. many school districts struggle to get students to proficiency in math by the time of their high school graduation. Thus, it is crucial to understand why some students struggle more than others in math and science, how we might provide students with meaningful learning opportunities, and evaluate how these opportunities help students excel.

I am broadly interested in how students learn math and science and how we can use psychological science to improve students' educational experiences. To do this, I employ the Opportunity - Propensity model (Byrnes & Miller-Cotto, 2016) to examine variables, or

Through my research I have identified two important propensity factors related to learning and performance in math: students' prior knowledge and their executive function (the ability to regulate and control actions and cognitions). As such, I am particularly interested in the co-development of these two constructs and how they promote or inhibit learning. With this in mind, I hope to answer two specific questions:

Papers associated with these lines of work are listed below, with links to these papers in the Publications tab above.

I am broadly interested in how students learn math and science and how we can use psychological science to improve students' educational experiences. To do this, I employ the Opportunity - Propensity model (Byrnes & Miller-Cotto, 2016) to examine variables, or

*e.g. books at home, exposure to math games, reformed instruction) and***opportunities**(*(e.g., prior knowledge, executive functions, or motivation)***propensities***,*that explain success and struggle in math and science. I use aspects of this theoretical framework to systematically test how opportunities and propensities interact in classrooms to better refine this model through experimental designs and evaluating interventions. In this way, I view my research program as an iterative process: first building and testing theory, then zooming in to empirically test aspects of the theory in isolation, and zooming back out to refine the theory.Through my research I have identified two important propensity factors related to learning and performance in math: students' prior knowledge and their executive function (the ability to regulate and control actions and cognitions). As such, I am particularly interested in the co-development of these two constructs and how they promote or inhibit learning. With this in mind, I hope to answer two specific questions:

- What educational or home opportunities promote students' learning or executive function development as it relates to math and science?
- What is the nature and the relationship of math ability and executive functions?

Papers associated with these lines of work are listed below, with links to these papers in the Publications tab above.

## What educational or home opportunities promote students' learning or executive function development as it relates to math and science?

**Miller-Cotto, D.**, Booth, J. L., Chang, B. L., Cromley, J. G., Newcombe, N. S., & Williams, T.A. (revised, resubmitted). Sketching and verbal self-explanation: Do they help middle school children solve math and science problems?**Miller-Cotto, D.**, & Auxter, A. E. (in press). Testing the ecological validity of faded worked examples in algebra.*Educational Psychology*.- Byrnes, J.P., Wang, A. H., &
**Miller-Cotto, D**. (2019). Children as mediators of their own cognitive development in kindergarten*.**Cognitive Development, 50,*80-97. - Barbieri, C. A.,
**Miller-Cotto, D**., & Booth, J. L. (2019). Lessening the load of misconceptions: Design-based principles for algebra learning.*Journal**of the Learning Sciences.* - Byrnes, J. P.,
**Miller-Cotto, D**., & Wang, A. H. (2018). Children as mediators of their own development: The case of learning science in kindergarten and first grade.*Journal**of Cognition and Development*,*19,*248 – 277. - Byrnes, J. P., &
**Miller-Cotto, D**. (2016). The growth of mathematics and reading skills in segregated and diverse schools: An opportunity-propensity analysis of a national database.*Contemporary Educational Psychology, 46,*34-51.

## What is the nature and the relationship of math ability and executive functions?

**Miller-Cotto, D.**, & Byrnes, J. P. (in press). What’s the best way to characterize the relationship between working memory and achievement?: An initial examination of competing theories. *Journal of Educational Psychology.*

## Methodological Interest: Meta-Analyses

As a third related research area, I am interested in using meta-analytic methods to advance transparency and reproducibility in the developmental and education sciences. I have received additional training in meta-analytic methods through the Institute for Education Sciences' (IES) Meta-Analytical Training Institute. I continue to publish work and refine my methodological skills in this area.

**Miller-Cotto, D.**(2019). Working memory: A reliability analysis of measures within mathematics in grade school children in the United States. Presented at the Mathematical Cognition and Learning Society (MCLS) Second Annual Meeting, Ottawa, ON.- Wang, M.T., Smith, L.V.,
**Miller-Cotto, D.,**& Huguley, H. P. (2019). Parent racial-ethnic socialization practices and and children of color's academic outcomes.*Child Development*. **Miller-Cotto, D.**, & Byrnes, J. P. (2016). Ethnic/racial identity and academic achievement: A meta-analytic review.*Developmental Review, 41*, 51-70.