EDC is developing a high school capstone course in linear algebra. Student resources contain a core semester that develops two- and three-dimensional geometry using vectors and that treats matrix algebra and its applications to geometry; a semester of material that completes a typical undergraduate course (exploring bases, determinants and eigentheory); and 5 stand-alone modules that develop applications of this core to mathematics, engineering, science, and other STEM fields.
This project creates professional development materials that support secondary mathematics teachers in improving teaching and learning through lesson study. Project resources support school districts in launching a lesson study program with a strong mathematical focus, an emphasis on teacher learning within the lesson study model and support for building the local lesson study leadership needed to implement and expand a lesson study program.
This project is (1) conducting a qualitative study on the way facilitators use Math for All (MFA), an NSF-supported set of professional development materials for teachers who teach elementary school students with disabilities; (2) developing resources based on that study for teacher leaders and other facilitators of professional development; and (3) conducting fieldtests of the resources to examine their usefulness and impact.
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.
Education Development Center, Inc. (EDC), and Horizon Research, Inc., are conducting the DR-K12 research project, Fostering Mathematics Success of English Language Learners (ELLs): An Efficacy Study of Teacher Professional Development (FMSELL), a study of the effects of the Fostering Geometric Thinking
Toolkit professional development materials (FGTT) for teachers of ELLs. It will address four research questions:
1. Does participation in FGTT increase teachers’ geometric content knowledge?
2. How does teachers’ participation affect attention to students’ thinking and mathematical communication?
3. How does participation affect instructional practices?
4. What impact on ELLs’ problem-solving strategies is evident when teachers participate in FGTT?
FGTT is a 40-hour professional development intervention focusing on properties of geometric figures, geometric transformations, and measurement of length, area, and volume. The project tests the hypothesis that geometric problem solving invites diagramming, drawing, use of colloquial language, and gesturing to complement mathematical communication and affords teachers opportunities to support ELL learning. The research design uses a randomized block design with 25 pairs of professional development facilitators matched according to their districts’ demographic information.
Several small-scale experimental classroom studies Star and Rittle-Johnson demonstrate the value of comparison in mathematics learning: Students who learned by comparing and contrasting alternative solution methods made greater gains in conceptual knowledge, procedural knowledge, and flexibility than those who studied the same solution methods one at a time. This study will extend that prior work by developing, piloting, and then evaluating the impact of comparison on students' learning of mathematics in a full-year algebra course.