"For too long, professional development for high school teachers has meant either taking yet another university mathematics course (with no connection to what we teach) or taking a workshop about teaching (with no mathematics in it at all)..." pg. xiii Mathematical Connections, by Al Cuoco.
Each chapter of this etext includes hands-on interactive GeoGebra experiments which are intended to allow readers to explore mathematical topics. Along the way, readers are expected to make observations and ask questions. Readers will be guided to formalize their observations and questions into conjectures and they will explore how to prove their conjectures and/or create counterexamples. The content includes algebra, geometry, calculus and probability and an interplay between mathematical ideas and practices from the Common Core State Standards and university level mathematics.
Catalog Description: MATH 490. CAPSTONE COURSE (3) Prerequisite: Senior standing. A course where prospective teachers see high school mathematics from an advanced perspective. Considerably more emphasis is placed on issues of pedagogy than in other content courses and students see connections between the mathematics they are learning in college and some of the activities they will be engaged in as teachers.
This information is subject to revision.