Effective teaching of mathematics uses evidence of student thinking to assess progress toward mathematical understanding and to adjust instruction continually in ways that support and extend learning.
Core Components with a brief description of specific adult actions (The teacher will…)
Evidence of Progress: Identify what counts as evidence of student progress toward mathematics learning goals.
Elicit during Instruction: Elicit and gather evidence of student understanding at strategic points during instruction.
Interpret Student Thinking: Interpret student thinking to assess mathematical understanding, reasoning, and methods.
Probe, Scaffold and Respond: Make in-the-moment decisions on how to respond to students with questions and prompts that probe, scaffold, and extend.
Reflect and Adjust Instruction: Reflect on evidence of student learning to inform the planning of next instructional steps.
Copied from Evidence Based Practices, Programs and Policies - MDE 2018
This is "Math is Thinking", Gradual Release of Responsibility, Visualization, and "Concrete, Pictorial, Abstract"