Projects

The goal of this CAREER program of research is to identify, from a cross-cultural perspective, essential Algebraic Knowledge for Teaching (AKT) that will enable elementary teachers to better develop students' algebraic thinking. This study explores AKT based on integrated insights of the U.S. and Chinese expert teachers' classroom performance.

This project explores possibilities for localized change led by parents and caregivers. By making explicit how to foster and increase Black and Latinx parents’ engagement in solidarity with community organizations and teachers, this project could provide a model for other communities and schools seeking to advance racial justice in mathematics education. Through critical community-engaged scholarship and in collaboration with ten Black and Latinx families, ten teachers, and two community organizations, the research team will co-design and co-study two educational programs aimed at advancing racial justice in elementary mathematics.

This study seeks to describe trajectories that describe the ways in which Black learners develop as particular kinds of mathematical learners. The study takes place in the context of an established, multi-year college bridge program that has as its goals to increase the representation of historically marginalized groups in the university community.

This project investigates how to use new touch technologies, like touchscreens, to create graphics and simulations that can be felt, heard, and seen. Using readily available, low-cost systems, the principal investigator will investigate how to map visual information to touch and sound for students with visual impairments.

This research study expands on the characteristics of mathematical discourse and examines and specifies relationships between descriptive elements across multiple content foci in mathematics. The micro-genetic study is based on examination of video data from multiple routine classroom settings with teachers who demonstrate varying levels of discourse across three curricular topics in mathematics. The resulting framework and redesigned teacher education courses will provide models on which other teacher education programs might build.

This project studies teaching practices in a year-long high school algebra course that integrates hand-held and other electronic devices. Of particular interest is how these technologies can support learners' capacity to efficiently and effectively draw on the distributed intelligences that technical and social networks make available. The investigation focuses on collaborative learning tasks centered on collective mathematical objects, such as functions, expressions, and coordinates that participants in a group must jointly manipulate through networked computers.

Covariational reasoning, or the ability to reason about relationships as quantities change together, is one way of thinking that can provide a foundation for students to build their more abstract algebraic knowledge. This research builds a foundation for integrating education and research at the intersection of students’ developing algebraic knowledge, covariational reasoning, and new educational technologies to create a new path into algebra. This path can help remove barriers that have historically restricted access to mathematics and STEM coursework and careers.

This CAREER award aims to study the construct of "epistemic empathy" and examine how it can be cultivated in science and mathematics teacher education, how it functions to promote responsive teaching, and how it shapes learners' engagement in the classroom. In the context of this project, epistemic empathy is defined as the act of understanding and appreciating another's cognitive and emotional experience within an epistemic activity aimed at the construction, communication, and critique of knowledge.

This project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as "mathematically captivating learning experiences" or "MCLEs"). The study will examine how high school teachers can design lessons so that mathematical content itself is the source of student intrigue, pursuit, and passion. To do this, the content within mathematical lessons (both planned and enacted) is framed as mathematical stories and the felt tension between how information is revealed and withheld from students as the mathematical story unfolds is framed as its mathematical plot.

This project will design and develop specialized instructional materials and guidelines for teaching secondary algebra in linguistically diverse classrooms. These materials will incorporate current research on student learning in mathematics and research on the role of language in students' mathematical thinking and learning. The work will connect research on mathematics learning generally with research on the mathematics learning of ELLs, and will contribute practical resources and guidance for mathematics teachers who teach ELLs.

This project examines the development of statistical literacy that combines statistical reasoning and thinking. The project will use professional learning communities for teachers to learn about statistical literacy and develop learning experiences for their students. The project will engage students and teachers in finding meaningful ways to use statistical reasoning to make data-based arguments and reason about patterns they observe in society.

This project is investigating the learning that can take place when elementary school students are directly involved in the collection, sense-making, and analysis of real, personally-meaningful data sets. The hypotheses of this work are that by organizing elementary statistics instruction around the study of physical activities, students will have greater personal engagement in data analysis processes and that students will also develop more robust understandings of statistical ideas.

Access to high quality STEM education is highly variable depending on where one lives. In addition, early career teachers need support during their first years of teaching to be successful and help them stay in the profession. This project aims to provide in-service and beginning elementary school teachers increased opportunities to refine their mathematics teaching to support minoritized youth in racially diverse rural communities in Georgia that have less access to elementary mathematics specialists. This project follows and supports both beginning teachers (BTs) and elementary mathematics coaches (EMCs) over 5 years to develop and refine their mathematics teaching and coaching, respectively, using equity-based tools to guide reflection and conversations about both the BTs’ instructional practices and the EMCs’ coaching practices.

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.

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.

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 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.

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 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 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 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.

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.

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.

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.

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.