American Institutes for Research
Overview
The American Institutes for Research (AIR) partnered with EF+Math and three R&D project teams to explore how integrating executive function skills (EFs) into math learning products can improve math learning outcomes for students.
Through independent evaluation studies of the CueThinkEF+, Fraction Ball, and MathFluency+ products, AIR worked closely with students, educators, and districts to examine how products supported students’ math and executive function skill development, as well as students’ attitudes and beliefs towards mathematics. AIR’s innovative, iterative, and inclusive approach to evaluation generated new evidence of product effectiveness, surfaced opportunities to strengthen each product, and connected insights from across the evaluation studies. Together, this work generated new findings that can improve math learning outcomes and demonstrated how collaborative evaluation can drive innovation in educational research and practice.
Approach
AIR's evaluation approach embodied EF+Math's core values, using rigorous methods that were innovative, iterative, and inclusive to generate meaningful insights for improving student outcomes.
Innovative
Employed novel evaluation methodologies to generate timely, actionable insights that supported real-time product improvement while maintaining scientific rigor.
Iterative
Studies simultaneously evaluated product effectiveness and informed ongoing development, creating a continuous feedback loop between research findings and product refinement.
Inclusive
Positioned students and educators as partners and experts throughout the evaluation process, from initial study design through collaborative interpretation of findings.
Study Impact
AIR's evaluation studies reached thousands of students and yielded findings that deepened our knowledge of the relationship between mathematics, executive function skills, and math perceptions.
Key Insights and Innovations
Independent evaluation studies demonstrate promising impact of EF+Math products on students’ math learning and EF skills
Over two years, AIR partnered with teachers and students across the country to conduct five evaluation studies of the CueThinkEF+, Fraction Ball, and MathFluency+ products. These studies were designed to examine the impact that math interventions which integrate executive function skill development have on students’ math skills, EF skills, and perceptions and beliefs about mathematics. Through quantitative and qualitative data collection, AIR investigated implementation variation across contexts, relationships between product use and student outcomes, and teacher and student perspectives of and experiences with each product. Taken together, the study findings provide a comprehensive picture of how these learning approaches support students and teachers in the mathematics classroom.
Innovative evaluation study designs allow for simultaneous product evaluation and iteration
AIR used innovative study designs that allowed them to measure evidence of impact while also providing actionable insights related to product implementation. These novel evaluation designs differed from more traditional approaches, as they uncovered timely data around new product features that were being tested, while also measuring product effectiveness. For CueThinkEF+, the team used a Sequential Multiple Assignment Randomized Trial (SMART) design to rapidly assess the relative effects of four different adaptive versions of the CueThinkEF+ platform. The following year, AIR conducted a randomized controlled trial with an embedded factorial design to simultaneously test six different combinations of features on the CueThinkEF+ platform. Together, these innovative methods allowed AIR to identify which product features work, and for whom, more quickly than conventional evaluation cycles.
Centering educator voice throughout evaluation stages results in more useful studies and actionable findings
EF+Math set a vision and collaborated with AIR, as their approach to evaluation positioned educators, students, and product development teams as true partners in research. AIR established District Advisory Boards, which included district representatives who were involved in all stages of the evaluation, from study design to data interpretation. AIR ensured that their evaluation process centered educator expertise, and aligned research questions with district priorities, incorporated educator input when making study decisions, and provided opportunities to interpret, contextualize, and make meaning of study findings in collaboration with educators. The end result is evaluation studies whose research questions, data, and findings are more actionable and useful to districts, since district needs and priorities have been considered throughout every stage of the process.
New assessments were developed to measure students’ problem solving skills and mathematical beliefs
In order to conduct these evaluation studies, new asset-based measures were co-created by AIR and the R&D teams to assess key outcomes such as students’ problem solving skills and students’ attitudes and beliefs about mathematics. In collaboration with CueThinkEF+, AIR created a problem solving assessment that evaluates both students’ problem solving strategies, as well as computational accuracy. AIR also developed a Student Math Beliefs and Attitudes Survey that measured students’ self-efficacy, math identity, math anxiety, confidence in math, and belonging in the math classroom. Together, these tools allowed AIR to capture students’ growth in the problem solving skills and positive mathematical perceptions that are essential to long-term success.
Portfolio approach to evaluation allows for exploration of complex research questions through analysis of an integrated data set
Through its active management approach, the EF+Math program set a goal for its evaluation studies to be conducted using a set of aligned, common measures, in order to enable further exploration of the program’s hypothesis. As a result, AIR was able to create an integrated dataset of executive function skill, mathematics, and student math perception outcomes, using data from 10,000 students in grades 3-8 who participated in the evaluations of CueThinkEF+, Fraction Ball, and MathFluency+. This valuable resource, combining quantitative data at multiple time points with standardized assessment data and demographic data, enables the further exploration of relationships between EF skills, math learning, and student perceptions across diverse products, contexts, and studies. The creation and analysis of this dataset demonstrates how a portfolio-approach to evaluation can generate insights and learnings that would be impossible to achieve through individual studies alone.
Research Highlights
Acknowledgments
AIR would like to thank everyone who contributed to the evaluation work. In addition to the project leaders listed above, we would like to thank Jennifer Ford and Jared Webb who supported earlier stages of the project, our lead impact analysts (Devin Dedrick, Diana Oh, and Jingtong Pan), site coordinators, data collectors, and problem-solving assessment scorers.
We also thank the many districts and educators who participated in the evaluation studies. We appreciate the time and energy they put into implementing the various programs and supporting data collection activities. They also provided useful insights and feedback on the studies, including data collection processes and findings interpretation. We could not have completed the studies without them.
Explore Our R&D Projects
The EF+Math portfolio of R&D projects developed innovative math learning products and advanced research on mathematics learning, executive function skills, and equitable learning experiences using inclusive R&D methods.