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.
Projects
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 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.
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 will address the need to educate teachers and students to engage in asking questions, collecting and interpreting data, making claims, and constructing explanations about real-world problems that matter to them. The study will explore ways to enhance youths' learning experiences in secondary school classrooms (grades 6-12) by building a sustainable partnership between researchers and practitioners.
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 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 focuses on how children learn to reason about three aspects of complex causality; probabilistic causation; action at a distance; and distributed causality;and how to best support the development of this reasoning in classrooms. Through microgenetic study across the school year with small numbers of students in grades K-6, the study will characterize children's reasoning at different ages and how it shifts over time and with different learning supports.
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 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.
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.
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 partners with a mathematics department at a public middle school to co-design, analyze, and improve teachers’ translanguaging pedagogies, that is pedagogies that draw on students’ full linguistic repertoires as resources for their learning. This project will investigate how teachers make sense of and enact translanguaging pedagogies, how translanguaging pedagogies shape students’ mathematical experiences and learning opportunities, and how teachers’ learning of translanguaging spaces can be supported.
The research and educational activities of this project focus on advancing the field in the area of fraction operation algorithm development. The goal of this research is to identify core mathematical teaching practices that engage and support students in algorithmic thinking associated with fraction operations. The educational product of this work will be written educational materials that can be used to support the general population of teachers in this domain.
This project characterizes and analyses the developing mathematical identities of Latinx students transitioning from elementary to middle grades mathematics. The central hypothesis of this project is that elementary Latino students' stories can identify how race and language are influential to their mathematical identities and how school and classroom practices may perpetuate inequities.
The research goal of this project is to evaluate whether an early childhood science education program, implemented in low-income preschool settings produces measurable impacts for children, teachers, and parents. The study is determining the efficacy of the program on Science curriculum in two models, one in which teachers participate in professional development activities (the intervention), and another in which teachers receive the curriculum and teachers' guide but no professional development (the control).
This project will develop a process for creating a shared, state-wide vision of high-quality mathematics instruction. It will also develop and study the resources to implement that vision at the state, district, and school levels. In addition, the project will investigate a collaborative process of designing and implementing high-quality mathematics instruction at a state level.
This project will develop a process for creating a shared, state-wide vision of high-quality mathematics instruction. It will also develop and study the resources to implement that vision at the state, district, and school levels. In addition, the project will investigate a collaborative process of designing and implementing high-quality mathematics instruction at a state level.
This project will develop a process for creating a shared, state-wide vision of high-quality mathematics instruction. It will also develop and study the resources to implement that vision at the state, district, and school levels. In addition, the project will investigate a collaborative process of designing and implementing high-quality mathematics instruction at a state level.
This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum.
This project is a four-year, longitudinal, mixed-methods study of 12 school districts’ implementation of elementary mathematics instructional materials. It investigates the relationships among the district level of coherence of implementation, the school level of support for implementation, the school level of use of materials, and the effects on student outcomes.
This project is studying effects of linguistically sensitive science instructional materials by translating, enhancing, and evaluating culturally relevant and linguistically appropriate Collaborative Online Projects (originally written in Spanish) for middle school Spanish-speaking English Language Learners.
This project contributes to the emerging knowledge base for reform-minded middle school STEM instructional materials development through the development, field-testing, and evaluation of a prototype instructional materials module specifically designed to stimulate and sustain urban-based students’ interest in STEM. The module includes guided inquiry-oriented activities thematically linked by the standards-aligned concept of energy transfer, which highlight the fundamental processes and integrative nature of 21st century scientific investigation.