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.
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 exploratory project builds on twelve years of successful experience with the summer program for secondary mathematics teachers at PCMI. It addresses the following two needs in the field of professional development for secondary mathematics teachers: increase content knowledge and understanding of the Common Core State Standards for Mathematics; and investigate and develop alternative models to conduct content-based professional development that meets the recommendations of the MET-II report.
Implementing the Mathematical Practice Standards: Enhancing Teachers' Ability to Support the Common Core State Standards
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.
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.
The goal of this project will be to provide the field with a cost-effective model for intense content-based professional development in ways that have not been possible before, except through costly face-to-face models, by creating and testing design principles for blended online courses. Team members will design, implement, and research the effects of a professional development immersion experience in mathematics for practicing secondary teachers (grades 7-12).