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WISH A Whole Scholar
Approach to Education

Our Practices » Mathematics


Using the LMU Mathematics and Science Teaching (MAST) instructional cycle WISH teachers implement innovative strategies for successful math achievement. The MAST framework paired with Envision's balanced curriculum engages students in developing critical thinking and problem-solving skills using the hands-on curriculum, technology-driven explanations, and Cognitively Guided Instruction (CGI) strategies. The goals of CGI are:
  1. Analyze story problems and number sentences to determine their mathematical demands and recognize student responses in terms of cognitive development.
  2. Assess students’ thinking and design problems that will develop students’ understanding of concepts and skills.
  3. Facilitate discussions that provide a window into children’s thinking, strengthen children’s ability to reason about arithmetic, and build their capacity for algebraic reasoning.
  4. Use open and true/false number sentences to develop students’ understanding of mathematical concepts and skills.

Cognitively Guided Instruction is a student-centered approach to teaching math. The knowledge teachers gain in a CGI workshop enhances how they implement the Envision curriculum. CGI teachers understand how their students think about mathematics and how children, in general, understand mathematics. CGI teachers know how to use what their children currently understand to plan instructional activities for these students. CGI teachers also understand what children need to learn about mathematics so they will have a firm foundation upon which they can learn more advanced mathematics.