Projects

The primary goal of the project is to enhance secondary mathematics teacher education for pre-service teachers by developing, implementing and disseminating resources from a four-course curriculum that brings together the study of mathematics content and pedagogy. Three of the courses are problem-based technology enhanced (PBTE) courses in Algebra and Calculus, Geometry, and Probability and Statistics. A fourth course is a capstone course in Teaching and Learning Secondary School Mathematics.

Project M² is producing and disseminating curriculum materials in geometry and measurement for students in grades K-2. This builds on success of the M³ U.S. Department of Education curriculum grant for students in Grades 3-5. (www.projectm3.org). Project M² units are advanced units for all students designed using research-based practices in mathematics, early childhood, and gifted education. Curricular materials focus on promising discourse and hands-on inquiry of rich problem-situations.  

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.

The PuM project develops and conducts research on a learning continuum for seamless instruction in middle school physical science and high school physics. The ultimate goal is to use physics as the context to develop mathematics literacy, particularly with students from underrepresented populations and special needs students. The research component analyzes the effects of the curriculum on students' learning while simultaneously investigating teachers' pedagogical content knowledge in a variety of forms.

This project is an efficacy study of the Fostering Geometrical Thinking Toolkit (FGTT) previously developed with NSF support. FGTT is a 40-hour professional development intervention focusing on properties of geometric figures, geometric transformations, and measurement of length, area, and volume. The study addresses four research questions, three examining participating teachers and one examining the impact of teachers' professional development on ELL students.

This project is developing and conducting research on the Cohort Model for addressing the mathematics education of students that perform in the bottom quartile on state and district tests. The predicted outcome is that most students will remain in the cohort for all four years and that almost all of those who do will perform well enough on college entrance exams to be admitted and will test out of remedial mathematics courses.

Geometry Assessments for Secondary Teachers (GAST) represents a collaborative partnership among faculty and staff at the University of Louisville, the University of Kentucky, Florida State University, Alpine Testing Solutions, and Horizon Research, Inc. to develop a knowledge framework and assessments for secondary mathematics teachers' geometry knowledge for teaching. The framework for the assessments will be designed to collect validity evidence for predicting effective geometry teaching and improving student achievement.

This project is developing, designing, and testing materials for professional development leaders (e.g., teacher educators, district mathematics specialists, secondary mathematic department chairs) to use in their work with secondary mathematics teachers. The aim is to help those teachers analyze the discourse patterns of their own classrooms and improve their skills in creating discourse patterns that emphasize high-level mathematical explanation, justification, and argumentation.

This project focuses on practicing and preservice secondary mathematics teachers and mathematics teacher educators. The project is researching, designing, and developing materials for preservice secondary mathematics teachers that enable them to acquire the mathematical knowledge and situated rationality central to teaching, in particular as it regards the leading of mathematical discussions in classrooms.

This project is conducting repeated randomized control trials of an approach to high school geometry that utilizes Dynamic Geometry (DG) software and supporting instructional materials to supplement ordinary instructional practices. It compares effects of that intervention with standard instruction that does not make use of computer drawing tools.

This project is developing and evaluating effectiveness of 15 - 20 short computer mediated animations and games that are designed to: (1) increase students' conceptual understanding in especially problematic topics of middle grades mathematics; and (2) increase students' mathematics process skills with a focus on capabilities to think and talk mathematically.

This project will modify the teacher preparation program for preK-8 teachers. The program is designed to help pre-service teachers learn mathematics well, learn to access students' cultural funds of knowledge, and learn to encourage students' mathematical thinking. The developers are designing (a) modules that can be used in teacher preparation courses, (b) a mentoring program for new teachers, and (c) on-line networks to facilitate collaboration among participating teachers and institutions.

This project designs materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: online professional development modules; practice-based assessments; resources for facilitators; and web-based technologies to deliver module content to diverse settings. Three modules are being developed and focus on fractions, reasoning and explanation, and geometry. Each module is organized into ten 1.5 hour sessions.

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.

The aim of this project is to examine opportunity structures provided to students by inclusive STEM-focused high schools, with an emphasis on studying schools that serve students from underrepresented groups. The project is studying inclusive STEM-focused high schools across the United States to determine what defines them. The research team initially identified ten candidate critical components that define STEM-focused high schools and is refining and further clarifying the critical components through the research study.

This exploratory project is working in collaboration with teachers to increase their knowledge of mathematics for teaching in middle school. In addition to geometry and algebra, the research component of the project is providing insights into how teachers use their mathematical knowledge to increase argumentation in the classroom and to help students build skills in mathematical argumentation.

This project is developing Core Math Tools, a suite of Java-based software including a computer algebra system (CAS), interactive geometry, statistics, and simulation tools together with custom apps for exploring specific mathematical or statistical topics. Core Math Tools is freely available to all learners, teachers, and teacher educators through a dedicated portal at the National Council of Teachers of Mathematics (NCTM) web site.

Research has shown that engaging students, including students from underrepresented groups, in appropriately structured reasoning activities, including argumentation, may lead to enhanced learning. This project will provide information about how teachers learn to support collective argumentation and will allow for the development of professional development materials for prospective and practicing teachers that will enhance their support for productive collective argumentation.

This project is studying measurement practices from pre-K to Grade 8, as a coordination of the STEM disciplines of mathematics and science. This research project tests, revises and extends learning trajectories for children's knowledge of geometric measurement across a ten-year span of human development. The goal will be to validate all components of each learning trajectory, goal, developmental progression, and instruction tasks, as well as revising each LT to reflect the outcomes of the experiments.

This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.

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 contributes to the small research base by exploring the validity of Technology-Enhanced Items (TEIs) in the context of elementary geometry. The project addresses three research questions: 1) To what extent are TEIs a valid measurement of geometry standards in the elementary grades?; 2) To what extent do TEIs provide an improved measurement compared to SR items?; and 3) What are the general characteristics of mathematics standards that might be better measured through TEIs?

This research and development project is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of classroom interactions or reading written cases, teacher educators and teachers can now watch animations and image sequences, realized with cartoon characters, and made to depict activities that happened, or could have happened, in a mathematics classroom.

The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas.