La Tercera teachers bring Math to life integrating Math into their hands-on project-based learning units and implementing two rich district math programs; Bridges and CPM Math for 6th graders.
Bridges in Mathematics, second edition, is a comprehensive K–5 curriculum that equips teachers to fully implement the Common Core State Standards for Mathematics in a manner that is rigorous, coherent, engaging, and accessible to all learners. The curriculum focuses on developing students’ deep understandings of mathematical concepts, proficiency with key skills, and ability to solve complex and novel problems. Bridges blends direct instruction, structured investigation, and open exploration. It taps into the intelligence and strengths of all students by presenting material that is as linguistically, visually, and kinesthetically rich as it is mathematically powerful.
“College Preparatory Mathematics (CPM)” is the program used by our middle school as well as Petaluma City Schools middle and high schools It was originally an Eisenhower-funded grant program. CPM teaching strategies focus on how students best learn and retain mathematics. Teaching strategies rely on the recommendations of the National Council of Teachers of Mathematics, and are based solidly on the methodological research in teaching mathematics. The research-based principles that guide the course are:
- Students should engage in problem-based lessons structured around a core idea.
- Guided by a knowledgeable teacher, students should interact in groups to foster mathematical discourse.
- Practice with concepts and procedures should be spaced over time; that is, mastery comes over time.
Although CPM predates the CCSS Standards for Mathematical Practice by about 20 years, very similar practices have always been a core and integral part of CPM curriculum materials. Because of CPM’s broad experience and long history with these practices, the CCSS Mathematical Practices are deeply and seamlessly interwoven into the fabric of the daily lessons. The course balances procedural fluency (algorithms and basic skills), deep conceptual understanding, strategic competence (problem solving), and adaptive reasoning (transference and extension).