Projects

Leaders in mathematics and elementary education are organizing and hosting a conference that brings together researchers from mathematics education, cognitive science, and special education. Organized over three face-to-face meetings with follow-up virtual meetings, the conference is designed to generate a set of teaching and learning principles as well as a collaborative research agenda among the fields, reflecting existing agreements regarding early mathematics and uncovering areas of disagreement where further exchange and generation of knowledge is needed.

In this project, the investigators will explore different ways that elementary school teachers participate in online learning in a platform that includes videos, discussions, and other resources for mathematics teaching. Knowing that teachers may use the platform to different degrees depending on their interest and time available, the study will investigate how different profiles of participation influence teachers' learning.

This project will contribute new knowledge on two aspects of participation in mathematics education. First, this research aims to understand how perceptions of race influence how teachers, future teachers, and researchers assess how bilingual children use their languages and movement to participate in mathematical activity. Second, it will explore ways to counter deficit views that influence teachers’, preservice teachers’, and researchers’ perceptions of these multiple ways of participating as inferior to what is traditionally considered as meaningful participation.

This project leverages the role of mentor teachers to support novices’ development of pedagogical reasoning and increase the likelihood that they will be prepared to engage in responsive mathematics teaching. Mentor teachers in three differently structured teacher education programs will receive professional development aimed at making their pedagogical reasoning visible and supporting them in engaging collaboratively with novices in this type of teacher thinking. The researchers will study mentor teachers’ development of collaborative pedagogical reasoning (Co-PR) and its relationship to responsive teaching.

Geometry instruction offers unique opportunities for students to apply design thinking to authentic problems. This project supports teachers in designing and implementing lessons using a human-centered design (HCD) approach. Geometry teachers will participate in lesson study for two years to plan problem-based geometry lessons and to observe student thinking during those lessons. The project investigates how teachers learn about and apply a human-centered framework for teaching geometry.

In this project, the investigators will explore different ways that elementary school teachers participate in online learning in a platform that includes videos, discussions, and other resources for mathematics teaching. Knowing that teachers may use the platform to different degrees depending on their interest and time available, the study will investigate how different profiles of participation influence teachers' learning.

Despite growing interest in supporting the integration of computational thinking (CT) in elementary education, there is not an agreed-upon definition of CT that is developmentally appropriate for early childhood, nor is there a clear understanding of how young children’s CT develops and which kinds of instructional approaches and practices truly support the development of CT. Early elementary educators need feasible research-based, developmentally appropriate CT curricula. This project will contribute to this critical STEM educational need by working with a design team of 5 elementary teachers to develop a research-based integrated mathematics and CT curriculum.

This project will provide rural STEM middle school teachers and career counselors professional development and the support needed to collaborate with each other and local community assets in designing, integrating, and implementing effective STEM content and career development activities. Local teams will co-develop project-based learning units that incorporate a place-based education perspective involving STEM assets, careers, and stakeholders from the local communities for middle school rural youth that intentionally infuse STEM careers in their area with STEM content.

One of the most persistent challenges in education is the gap between research and classroom practice, meaning that research-informed recommendations and practices that could support students’ mathematics learning do not always reach the classroom. Improving how mathematics-focused education research is communicated to a teacher audience—using strategies that are useful and valuable from the teacher perspective—is one key avenue for mitigating consequences of the research-practice gap. This project will develop, assess, and refine innovative key abstracts (i.e., concise, infographic-type resources) for communicating mathematics-focused practitioner articles with a teacher audience. Teacher perspectives will be embedded throughout the project to inform key abstract design. The project also involves a collaboration with the university disability center to provide funded research opportunities in STEM education to university students with disabilities.

This project will investigate the potential of a novel approach to mathematics intervention that leverages the affordances of technology and evidence-based pedagogy to improve mathematics learning for middle school students. The mathematics intervention entitled EMPIRES is a collaborative activity set in Ancient Mesopotamia that offers a multifaceted approach in which (1) rich, narrative math problems increase conceptual comprehension; (2) animated representations of mathematics concepts support mathematical understanding; (3) multiplayer collaboration leads to peer instruction and modeling; (4) simulations offer exciting challenges that increase mathematics resiliency; and (5) a bridge curriculum aids transfer of learning to multiple contexts, including traditional standardized tests.

Promoting equity-focused mathematics education requires models that will prepare and support mathematics pre-service teachers (PSTs) who will question existing norms and advocate for all their students. This project will develop a model of support for middle and high school mathematics PSTs to support them in becoming critical mathematics teachers (CMTs), teachers who address the needs of diverse students, are mindful of achievement disparities, and aware of their own biases. The main objective of the project is to develop a cohesive system of support for middle and high school PSTs to become CMTs.

Realizing the potential of preschool to address historical inequities demands a deeper, more nuanced understanding of the varied ways opportunities to learn play out for individual children within and across classrooms. The goal of this project is to illuminate the variability in opportunities for mathematics learning in early childhood through capturing the experiences of individual children over time. The goal is to understand how these children navigate opportunities to participate in mathematical activity, their perspectives of what knowing and doing mathematics entails, and the resources they draw upon to engage in mathematical practices.

This project examines middle school students’ graph literacy from an asset-based perspective, documenting the ways in which students think about graphs (i.e., their cognitive strategies and intuitive insights), and the ways in which instruction can build upon that thinking in order to support the development of graph literacy. Drawing from students’ graphical representations of real-life contexts (e.g., population growth) that span various mathematical domains, this program of research will develop a holistic theoretical framework that can inform mathematics instruction in multiple content areas.

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.

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.

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.

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.

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.

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.

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 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 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.

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.