Projects

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.

This project team partners with the mathematics department of one urban public charter high school that serves 65% students of color (most of whom identify as African American). At the school, 70% of all students qualify for free or reduced lunch, and 25% of the students have Individualized Education Plans. This project investigates: 1) how mathematics teachers learn to teach the mathematics content through investigation of relevant social issues, 2) how teachers negotiate classroom dilemmas related to this approach, and 3) how students feel about mathematics and their ability to enact change toward an equitable society.

This project will develop and study a professional development framework that is designed to help high school geometry teachers attend more carefully to student prior knowledge, interpret the learning implications of student prior knowledge, and adjust teaching practices accordingly. Participating teachers will participate in study groups that analyze animations of productive teaching practices; they will collaborate in planning, implementing, and analyzing geometry lessons; and they will critique videos of their own classroom instruction.

This project investigates the outcomes of a teacher education model designed to foster prospective mathematics teachers' abilities to notice and capitalize on important mathematical moments in instruction. The project engages prospective teachers in research-like analysis of unedited teacher-perspective classroom video early in their teacher education coursework in order to help them learn to identify, assess the mathematical potential of, and respond to important student ideas and insights that arise during instruction.

This project will develop a comprehensive framework to inform and guide the analytic design of teacher professional development studies in mathematics. An essential goal of the research is to advance a science of teaching and learning in ways that traverse both research and education.

The purpose of this project is to examine the process by which math language instruction improves learning of mathematics skills in order to design and translate the most effective interventions into practical classroom instruction.

This study is investigating the classroom factors and teacher characteristics that contribute to Latino English Language Learners' (ELL) gains in mathematics learning in the eighth grade. In addition to looking for key characteristics that influence mathematics learning, the researchers are measuring teachers' knowledge of mathematics for teaching, quality of instruction, and knowledge about English learners.

Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The purpose of this CAREER project is to identify language factors and instructional sequences that contribute to improving elementary students' understanding of addition and subtraction problems involving negative integers. 

Research has shown that engaging students, including students from underrepresented groups, in appropriately structured reasoning activities, including argumentation, may lead to enhanced learning. This project will provide information about how teachers learn to support collective argumentation and will allow for the development of professional development materials for prospective and practicing teachers that will enhance their support for productive collective argumentation.

The main goal of this mathematics education research project is to determine through experimentation specific teaching strategies that can be used to support middle school students in drawing connections between mathematical representations (fractions and ratios). The potential instructional strategies were identified from the Third International Mathematics and Science Study (TIMSS) video analyses study as the ones that best distinguished high performing countries from low performing countries.

This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program?

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 aims to develop the knowledge to teach reasoning and proving with secondary teacher candidates, and to follow them into they first years of independent practice to better understand how they are using that knowledge.  The goals of the project are to better understand how beginning teachers' knowledge, dispositions, and proof-related practices evolve over time, and how the sociocultural context and support structures of the schools teachers are in influences their teaching of reasoning and proving.

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 conducts a systematic and empirical (both quantitative and qualitative) longitudinal study of the factors that influence students' decisions at critical junctures in the educational pipeline. The goals are too (a) broaden participation in science, technology, engineering, and math (STEM) fields and (b) improve the recruitment, retention, and success of minority undergraduate men in STEM and STEM-related fields across colleges and universities in the United States.

The project will examine how teachers reason about variation subsequent to focused instruction and contribute knowledge to in-service middle and secondary mathematics teacher education by targeting characteristics of professional development that might support teachers' reasoning about variation in increasingly sophisticated ways. The project will produce a coherent collection of shareable instructional materials for use in introductory statistics education and teacher education in statistics.

The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction for middle school students at different reasoning levels; and (2) how to foster middle school students' algebraic reasoning and rational number knowledge in mutually supportive ways.

This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. This award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction.

This project will support teacher capacity for implementing mathematical modeling lessons by engaging teachers in co-planning and co-teaching with researchers skilled in Emergent Bilingual (EB) mathematics instruction. The outcomes of this project will be a framework for teaching mathematical modeling to EB students, teacher professional development materials that can be used widely to support EB mathematics teachers, and a massive open online course (MOOC) for teachers to support their continued learning about teaching mathematics modeling to EB students.

This project advances the understanding of teaching and learning of algebra in grades 6 through 12 by using a methodology that leverages the cumulative power of an analysis of many studies on a topic. This work will synthesize results aggregated from 40 years of research in the field of mathematics education and develop a unified framework to inform parents, students, teachers, other educators, and researchers.

This project is documenting how students with learning disabilities (LD) access and advance their conceptual understanding of fractions.  Rather than focusing on the knowledge students do not have, this work is focused on uncovering students' informal knowledge that can bridge to fractions and how instruction can be used to promote conceptual change. 

This project investigates and expands teachers' learning to notice in two important ways. First, the research expands beyond teachers' noticing of written and verbal thinking to attend to gesture and other aspects of embodied and multimodal thinking. Second, the project focuses on algebraic thinking and seeks specifically to understand how teacher noticing relates to the content of algebra. Bringing together multimodal thinking and the mathematical ideas in algebra has the potential to support teachers in providing broader access to algebraic thinking for more students.

Research increasingly provides insights into the magnitude of mathematics teacher turnover, but has identified only a limited number of factors that influence teachers' career decisions and often fails to capture the complexity of the teacher labor market. This project will address these issues, building evidence-based theories of ways to improve the quality and equity of the distribution of the mathematics teaching workforce. 

This project investigates the STEM teacher pipeline and examine qualifications, from teacher candidates who express interest in teaching STEM through to the eventual career paths of teachers in the workforce. In doing so, the project examines how the supply of STEM teachers has changed over time, whether the supply is adequate in meeting the needs of a changing nation, the qualifications and credentials of STEM teachers, and the implications of the STEM teacher career paths for equity and serving high needs contexts and students.

This project involves a longitudinal, ethnographic study of children's mathematical performances from preschool to first grade in both formal classroom settings and informal settings at school and home. The study seeks to identify opportunities for mathematical learning, to map varied performances of mathematical competence, to chart changes in mathematical performance over time, and to design and assess the impact of case studies for teacher education.