Why Bridges and CPM?

The choice of Bridges in Mathematics and CPM aligns with Open Window's educational philosophy, emphasizing number sense, problem solving, problem-based learning, collaboration, and spaced practice through a spiraling curriculum. Our approach deviates from traditional instructional models, promoting student discovery of problem-solving methods and solutions as they develop their number sense and critical thinking. As students progress in their understanding, they are encouraged to continuously refine their problem-solving methods, seeking more efficient and elegant solutions. Traditional algorithms are introduced only after a deep comprehension of the underlying mathematics, providing a strong foundation for future advanced math.

This shift from rote learning to active problem-solving aligns with cognitive science findings, as it helps establish new neural pathways dedicated to problem-solving. Essentially, our students are cultivating "problem-solving pathways" in their brains, enabling them to tackle novel and intricate problems with creativity and elegance.

Bridges and CPM also offer content with a low entry point and a high level of complexity. Many problems are accessible to all students yet possess the depth to challenge those who are ready for more. For example, in third grade, students explore a "function machine" that transforms numbers based on a rule, a concept akin to simple addition. While discovering this pattern provides a foundation, advanced students can delve deeper, connecting it to function tables and, eventually, concepts typically introduced in algebra. This approach allows students to engage with complex problems suited to their level, a fundamental aspect of our math education across all grades.