Projects

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.

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 will develop and study co-learning, community-engaged educational programs that center STEM education pipelines and pathways for gifted Black girls. The central aim is to bring about an actionable theory of change at the elementary level to foster a sense of belonging in STEM, early STEM exploration and development, and nurturing a STEM identity, through critical and culturally relevant experiential learning. The project will also develop curricular materials for gifted Black girls and their families (See Me in STEM) as well as professional development materials for teachers (Teachers as Talent Catalysts) as part of the educational integration plan.

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 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.

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 student and teacher experiences with the de-tracking of math sequences in a public school district in Western Oregon. It examines how a district-wide cohort of middle school students, as individuals and in groups, identify with and define what it means to be good at math, and how these identities shift over time as they progress through math sequences. It also establishes a partnership between a mathematics education researcher and a school district (Research Practice Partnership) to study changes in pedagogy, define problems of teaching practice, and design solutions as the district transitions to de-tracked classes.

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. 

This project will investigate the potential benefits of interactive, dynamic visualization technologies in supporting science learning for middle school students, including ELLs. This project will identify design principles for developing such technology, develop additional ways to support student learning, and provide guidelines for professional development that can assist teachers in better serving linguistically diverse students. The project has the potential to transform traditional science instruction for all students, and to broaden their participation in science.

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.

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 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 focuses on fostering equitable and inclusive STEM contexts with attention to documenting and reducing adolescents' experiences of harassment, bias, prejudice and stereotyping. This research will contribute to understanding of the current STEM educational climates in high schools and will help to identify factors that promote resilience in the STEM contexts, documenting how K-12 educators can structure their classrooms and schools to foster success of all students in STEM classes.

This project will explore how to promote students’ curiosity as a way of supporting science learning. The project will study how curiosity develops, the ways that classroom learning experiences influence curiosity, and how curiosity can be taught so as to support STEM learning. It will include a series of lab experiments and classroom-based studies with 2nd grade students.

This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own.

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners.

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 development of six curricular projects that integrate mathematics based on the Common Core Mathematics Standards with science concepts from the Next Generation Science Standards combined with an engineering design pedagogy is the focus of this CAREER project.

This project will contribute knowledge about cultivating and strengthening productive mathematical identities of early childhood and elementary students. The project has the potential to improve kindergarten to third grade mathematics education for students from historically and persistently marginalized groups by intentionally leveraging (and confirming) resources for productive mathematical identity development. Further, this project will also equip educators to design number talks building upon students’ funds of knowledge and to also support their efforts to positively develop students’ mathematical identities.

The project at Spelman College includes activities that develop computational thinking and encourage middle school, African-American girls to consider careers in computer science. Over a three-year period, the girls attend summer camp sessions of two weeks where they learn to design interactive games. Experts in Computational Algorithmic Thinking as well as undergraduate, computer science majors at Spelman College guide the middle-school students in their design of games and exploration of related STEM careers.

The goal of this study is to improve elementary science teaching and learning by developing, testing, and refining a framework and set of tools for strategically incorporating forms of uncertainty central to scientists' sense-making into students' empirical learning.

Doing science requires that students learn to create evidence-based arguments (EBAs), defined as claims connected to supporting evidence via premises. In this CAREER project, I investigate how argumentation ability can be enhanced among middle school students. The project entails theoretical work, instructional design, and empirical work, and involves 3 middle schools in northern Utah and southern Idaho.

The aim of this project is to explore the hypothesis that a curricular focus on quantitative reasoning in middle grades mathematics can enhance development of student skill and understanding about mathematical proof. The project is addressing that hypothesis through a series of studies that include small group teaching experiments with students, professional development work with teachers, and classroom field tests of curricular units that connect quantitative reasoning and proof in algebra.

This project integrates educational and research activities with the ultimate goal of improving the mathematics education of students in high poverty, urban high schools. The project focuses on developing secondary mathematics teachers‘ capacity for implementing culturally relevant mathematics pedagogy (CuReMaP). CuReMaP consists of teaching mathematics for understanding; centering mathematics instruction on students; and providing opportunities for students to develop critical consciousness about and with mathematics.