Patricia Wilson

This project aims to advance the preparation of preservice teachers in middle school mathematics, specifically on the topic of proportionality, a centrally important and difficult topic in middle school mathematics that is essential to students’ later success in algebra. To address the need for a workforce of high-quality teachers to teach this mathematics, the project is developing a digital text that could be widely used to communicate the unique transitional nature of middle school mathematics.

This project’s researchers are determining individual teacher effect estimates and investigating their stability across models. This study also investigates the instructional practices of a subsample of 30 highly effective and 30 less effective sixth-grade mathematics teachers using videotaped classroom lessons, which are coded and analyzed by researchers who are blind to the value-added effectiveness of the teachers.

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 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 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 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.

Researchers are developing a practice-based curriculum for the professional education of preservice and practicing secondary mathematics teachers that focuses on reasoning and proving; has narrative cases as a central component; and supports the development of knowledge of mathematics needed for teaching. This curriculum is comprised of eight constellations of activities that focus on key aspects of reasoning and proving such as identifying patterns; making conjectures; providing proofs; and providing non-proof arguments.

This project is studying the impact of implementing a NSF-funded, high school mathematics curriculum that emphasizes mathematical habits of mind. This curriculum focuses on ways of thinking and doing mathematics in contrast with curricula that focus on mathematical topics. The project is studying the development of teachers' mathematical knowledge for teaching and their capacity to align their instruction with the new curriculum.

This project is studying how young children in grades K-2 understand mathematical concepts that are foundational for developing algebraic thinking. Researchers are contributing to an ongoing effort to develop a learning trajectory that describes how algebraic concepts are developed. The project uses teaching experiments, with researchers talking directly to students as they explore algebraic ideas. They explore how students think about and develop concepts related to covariation, representations of functions, relationships among variable, and generalization.

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.

MIST is a five-year study of four large, urban districts implementing ambitious mathematics reform initiatives in the middle grades.  The study uses a mixed-methods research design to investigate how changes in the school and district settings in which mathematics teachers work influence their instructional practices, students' learning opportunities, and student achievement.  

This project is focused on creating, testing, refining, and studying a computer-based, individualized, interactive learning system for intermediate/middle school students or by teachers in classrooms. This learning system is called Individualized Dynamic Geometry Instruction and will contain four instructional modules in geometry and measurement that reflect the recommendations of the Common Core State Standards.

This is a 3.5-year efficacy study of the Developing Mathematical Ideas (DMI) elementary math teacher professional development (PD) program. DMI is a well-known, commercially available PD program with substantial prior evidence showing its impact on elementary teachers' mathematical and pedagogical knowledge. However, no studies have yet linked DMI directly with changes in teachers' classroom practice, or with improved student outcomes in math. This study aims to remedy this gap.

The project is an exploratory, qualitative case study of a mathematics Lesson Study group for 12 beginning mathematics teachers working in high-poverty middle schools in Brooklyn. The project's Lesson Study model employs social semiotics to examine the intersection between language and learning in mathematics classrooms. Additionally, on-site Lesson Study groups will also be launched in some participating schools.

This project is designing digital games for middle school students that will help them prepare for success in Algebra. The games are intended to help students gain a deep understanding of measurement and fraction concepts that are critical as they begin to learn algebra. The project studies students' development of fraction concepts, their engagement in the tasks, and the use of hand-held devices as a useful platform for games.

This is a four-year project that is producing materials designed to help teachers see how the mathematical practices described in the Common Core State Standards for mathematics can be implemented in mathematics instruction. The goal of the improved instruction is to help students adopt and value these critical mathematical practices.

This project is supporting and investigating the implementation of reformed mathematics instruction at the middle school level in two large school districts. The primary goal of the project is to develop an empirically grounded theory of action for implementing reform at school and district levels. The researchers are investigating reform within a coherent system that focuses on leadership and school-based professional development.

This project is connecting mathematicians and mathematics teachers in middle schools by offering summer workshops and continued communication throughout the year. The workshops focus on mathematical problem solving and include activities that offer multiple entry points. The goal of the workshops is to increase teachers' knowledge of mathematics for teaching and to help teachers use their knowledge to improve student learning of mathematics.

This project is creating five video-case modules for use in professional development of middle school mathematics teachers. The materials are designed to develop teachers' understanding of mathematics knowledge for teaching similarity. In total, 18-24 video cases will be produced, which, taken together, form the curriculum of a 45- to 60-hour professional development course.

This project is developing teaching modules that engage high school students in learning and using mathematics. Using geo-spatial technologies, students explore their city with the purpose of collecting data they bring back to the formal classroom and use as part of their mathematics lessons. This place-based orientation helps students connect their everyday and school mathematical thinking. Researchers are investigating the impact of place-based learning on students' attitudes, beliefs, and self-concepts about mathematics in urban schools.