Build Procedural Fluency From Conceptual Understanding
Effective teaching of mathematics builds fluency with procedures on a foundation of conceptual understanding so that students, over time, become skillful in using procedures flexibly as they solve contextual and mathematical problems.
Core Components with a brief description of specific adult actions (The teacher will…)
Student Reasoning: The teacher provides students with opportunities to use their own reasoning strategies and methods for solving problems.
Student Explanations: The teacher asks students to discuss and explain why the procedures that they are using work to solve particular problems.
Connection to Student Approaches: The teacher connects student-generated strategies and methods to more efficient procedures as appropriate.
Visual Models: The teacher uses visual models to support students’ understanding of general methods.
Practice: The teacher provides students with opportunities for distributed practice of procedures.
Copied from Evidence Based Practices, Programs and Policies - MDE 2018
This is "Math is Thinking", Gradual Release of Responsibility, Visualization, and "Concrete, Pictorial, Abstract"