Projects

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 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 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.

There have been prominent and widespread calls for high school science students to work with data in more complex ways that better align with and support the work of professional scientists and engineers. However, high school students' analysis and interpretation of scientific data is often limited in scope, complexity, and authentic purpose. This project aims to support and advance students' work with ecological data in high school biology classrooms by embracing a new approach: Bayesian data analysis methods. Such methods involve expressing initial ideas or beliefs and updating them quantitatively with data that students access or record. This project will empower 20 high school teachers and their approximately 1,200 students to make sense of data within and beyond classroom contexts. It also will involve sharing research findings, an educational technology tool for Bayesian data analysis, and curricular resources in open and accessible ways.

The goal of this project is to improve the quality of middle school science in a select number of schools and to gain insight into effective science professional development practice more generally. The project will focus on the following objectives: (1) increasing the quantity and quality of inquiry-based instruction; (2) facilitating the development and implementation of inquiry-based instruction; and (3) improving student achievement in middle school science classrooms.

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 is a Faculty Early Career Development project aimed at developing, implementing, and assessing a model that introduces novice elementary school teachers to community-based engineering design as a strategy for teaching and learning in urban schools. Reflective of the new Framework for K-12 Science Education, the model addresses key crosscutting concepts, disciplinary core ideas, and scientific and engineering practices. It builds on theoretical perspectives and empirical foundations, including situated learning, engineering design cognition, and children's resources and funds of knowledge, including cultural and linguistic diversity.

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.

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 will contribute to the understanding of how high school physics can have a positive impact on students' self-perceptions, impacting important educational outcomes in this subject matter. Its focus is on the development of a positive physics identity (self-perceptions with respect to physics in terms of competence, performance, interest, and recognition by others) among high school students, particularly females, as a means to increase current and future engagement with the subject.

This project will aim to investigate how to increase equitable and active participation of diverse students' science learning in middle schools. The central premise of this study will be that building upon and integrating diverse students' funds of knowledge into their learning opportunities would contribute to create equitable access to effective participation.

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 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 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 project examines the empirical nexus between ELL students' language identity and science identity development. The project addresses the pressing need for empirical studies that combine theoretical perspectives from second language education, linguistics, and science education to understand science identity development among ELLs.

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 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 seeks to investigate the possibilities and challenges of using a participatory approach to research and design, centering Black, Indigenous, Latinx, and Hmong students and their families in imagining and creating change. The project will generate new knowledge about the possibilities and limitations of participatory design research (PDR) as a method for advancing equity in mathematics education through PDR cycles at three middle schools over the five years of the project. This approach has the potential to disrupt inequitable practices of mathematics education as well as undemocratic processes for making decisions about mathematics education. Further, it will be a catalyst for developing racially just practices and processes in mathematics education.

The ACCLIME project investigates teachers' uses and adaptations of CMP, an NSF-funded middle school curriculum. The study seeks to better articulate: (1) the ways that teachers adapt CMP over time and how they develop professionally as a result of using the curriculum materials; (2) the connection between district policy, resource development, and teachers' curriculum processes; and (3) the dynamic nature of districts' long-term curriculum implementations.

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 aims to: (1) study resources and strategies for teachers that will facilitate participation of 3rd grade Latino English Language Learners (ELLs) in the mathematics classrooms; (2) develop related teacher professional development (PD) materials; and (3) integrate research and teaching activities. The basic research question is: How can 3rd grade teachers facilitate better mathematics instruction for ELLs?

This project will investigate whether six urban middle schools are implementing highly effective science, technology, engineering and mathematics (STEM) programs based on factors identified through relevant research and national reports on what constitutes exemplary practices in 21st century-focused schools.

This project is developing an 8th-grade assessment for proportional reasoning from a cognitive diagnosis model (CDM) framework. CDMs are psychometric models developed specifically for diagnosing the presence or absence of fine-grained skills or processes required in solving problems on a test. Assessments based on CDMs can provide information deemed more diagnostic and descriptive, and therefore, more relevant in applied instructional settings.

Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts including function and algebra. The project extends prior research in quantitative reasoning to develop differentiated instructional experiences and curriculum that support prospective teachers' quantitative reasoning and produce shifts in their knowledge.

This exploratory project aims to develop a community of individuals and organizations working together to address critical issues in K-12 computer science education by broadening the awareness of the need for curriculum computer science standards, providing multiple levels of professional development, conducting and disseminating research in computer science education, and promoting this subject as a unique field of study in schools.