Projects

This project will design and study an online, portable mentor teacher professional development (PD) program that target mentors’ teaching and feedback skills in elementary mathematics. The project aims to (1) promote educator development by generating new knowledge about how to help mentors support teacher candidate learning; (2) broaden participation in mathematics by historically marginalized and minoritized youth, who are far more likely than their peers to be taught by a first year teacher; and (3) enhance infrastructure for research and education by generating PD materials and measures that can be used and studied at scale.

This project addresses a major educational barrier, namely that rural students are less likely to choose a major in STEM and have far less access to advanced STEM courses taught by highly qualified teachers. The LogicDataScience (LogicDS) curriculum and virtual delivery are expected to relieve the resource constraints significantly and thus reach rural students. The strategy behind this curriculum development for data science explores the utility of emphasizing how the foundations of data science in computing, mathematics, and statistics are unified by mathematical logic. The project is studying the impacts of the new curriculum on students’ learning of computing, mathematics, and statistics.

Understanding probability is essential for daily life. Probabilistic reasoning is critical in decision making not only for people but also for artificial intelligence (AI). AI sets a modern context to connect probability concepts to real-life situations. It also provides unique opportunities for reciprocal learning that can advance student understanding of both AI systems and probabilistic reasoning. This project aims to improve the current practice of high school probability education and to design AI problem-solving to connect probability and AI concepts. Set in a game-based environment, students learn and practice applying probability theory while exploring the world of probability-based AI algorithms to solve problems that are meaningful and relevant to them.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

This project aims to elaborate a structure for practice-oriented, collaborative professional development that increases the capacities for collaborative learning by facilitating teacher-to-teacher interactions within and across cultural contexts. By convening international groups of teachers to design lessons and provide and respond to commentaries on their lesson designs, the project introduces possibilities for surfacing and disrupting common experiences, assumptions, and norms in US mathematics teaching.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

Teacher professional learning is a critical part of the mathematics education landscape. For decades, professional learning has been the primary strategy for developing the skills of the teaching workforce and changing how teachers interact with students in classrooms around academic content. Professional learning also can be expensive for districts, both financially and in terms of teacher time. Given these investments, most school leaders wish to spend their professional development dollars efficiently, making decisions about professional learning design that maximize teacher and student learning. However, despite more than two decades of rigorous research on professional learning programs, practitioners have little causal evidence on which professional learning design features work to accelerate teacher learning. This project seeks to identify features of teacher professional learning experiences that lead to better mathematics outcomes for both teachers and students.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

Teachers of mathematics engage in curricular reasoning as they design and interact with their students, choose curricular materials, and implement curriculum standards in the service of high-quality instruction. Currently, there is no shared measure of curricular reasoning of middle school teacher classroom decision making in mathematics. In this research project, the team develops and validates two measures of middle school teachers’ curricular reasoning in mathematics as practiced. The first measure looks at curriculum reasoning from the perspective of the teacher, the second measure attends to the perspectives of the mathematics education research community.

This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.

This project uses neural and behavioral measures of learning as a basis for making improvements to an immersive high school course that trains students in flexible spatial cognition and data analysis. Tracking students into college, the project measures long-term effects of improved spatial cognition resulting from the modified geospatial course curriculum.

This project focuses on developing anti-racist mathematics teaching and learning practices that have led to inequitable school experiences for Black, Indigenous, and Latinx students. This study is a partnership with school and central office leaders from one district and educational researchers from three universities with expertise in both educational leadership and mathematics education. Partnership activities include documenting how leaders learn and develop anti-racist leadership practices and then measuring the impact on teachers’ instruction and students’ experiences.

This project focuses on developing the Adapted Measure of Math Engagement (AM-ME), a culturally sustaining self-report measure of Black and Latina/o middle school students’ mathematics engagement. By developing a measure of mathematics engagement that centers Black and Latina/o students’ experiences, this project offers insight into creating inclusive mathematics learning environments and culturally sustaining understandings of what it means to be engaged in mathematics.

This project focuses on developing the Adapted Measure of Math Engagement (AM-ME), a culturally sustaining self-report measure of Black and Latina/o middle school students’ mathematics engagement. By developing a measure of mathematics engagement that centers Black and Latina/o students’ experiences, this project offers insight into creating inclusive mathematics learning environments and culturally sustaining understandings of what it means to be engaged in mathematics.

The project is designing a web-based, district-led professional development implementation, focusing on improving mathematics discourse practices in K-2 classrooms, with particular attention to emergent multilingual learners. Building on two prior NSF-funded projects, the All Included in Mathematics K-2 New Extensions professional learning program will develop and research the impact of an augmented model for mathematics professional development on K-2 student learning through the addition of supports for coaches and leaders to the existing professional development model.

The project continues and completes the development and refinement of an electronic Test of Early Numeracy (e-TEN) in English and Spanish, focused on number and operations for young learners. The assessment incorporates a learning trajectory approach that describes students' development of the understanding of numbers. The electronic assessment allows for the test to adapt to students' responses and incorporate games increasing children's engagement with the tasks.

Three-dimensional figures can now be represented as diagrams that appear to extend into space in ways that are free of material or physical constraints. They can be rendered at any size, in any orientation, and at any position in space, and can thereby realize a far more varied set of mathematical concepts than what is possible with physical models. The goal of this project is to investigate the transformative educational potential of these representations and to generate a knowledge base that teachers, teacher educators, and researchers can use to reimagine the learning and teaching of geometry.

The project is designing a web-based, district-led professional development implementation, focusing on improving mathematics discourse practices in K-2 classrooms, with particular attention to emergent multilingual learners. Building on two prior NSF-funded projects, the All Included in Mathematics K-2 New Extensions professional learning program will develop and research the impact of an augmented model for mathematics professional development on K-2 student learning through the addition of supports for coaches and leaders to the existing professional development model.

This project will explore how children in grades K-2 understand visual representations of algebraic concepts. For instance, children might create tables or graphs to organize information about the relationship between two quantities. They might use graphs and diagrams to explain their mathematical thinking and develop their understanding of relationships in numbers and operations. The project will use data gathered in K-2 classrooms and via interviews with children to describe their use of the visual representations. This exploratory project aims to develop learning trajectories as cognitive models of how children in grades K–2 understand visual representations for algebraic relationships.

This project supports the development of a collaborative digital learning environment that embeds rich middle school mathematics tasks. The project aims to understand how students' individual and collaborative engagement in learning mathematics is enhanced by the digital platform, and how student engagement and learning is affected over the course of a year-long seventh grade course.

This comprehensive systematic review and meta-analysis synthesizes evidence surrounding math and science remote education programs from the past 15 years. The goal is to understand the effectiveness of math and science remote education programs; how their effectiveness varies by program characteristics (e.g., fully online vs. hybrid, synchronous vs. asynchronous, and student-instructor ratio); and whether their effects vary with student sample characteristics.

The purpose of this project is to further develop, refine, and evaluate a research-based STEM learning tool (i.e. block play) that tests theories of mathematical learning. The first objective is to empirically evaluate the impacts of different types of block play on children’s mathematics. The second objective is to evaluate the extent to which children’s mathematical language (spatial and quantitative), spatial skills, and executive function are mechanisms that link block play with children’s mathematical learning. Results from this study will contribute to the theoretical understanding of how and why block play may influence the development of early mathematics, a key component of STEM and school readiness, and will advance the research base about low-cost, feasible, and effective strategies for improving children's mathematics learning.