The Mathematics Teaching Practices
NCTM introduces eight essential mathematics teaching practices that should be characteristics of every mathematics lesson:
Establish Mathematics Goals to Focus Learning
Effective teaching of mathematics establishes clear goals for the mathematics that students are learning, situates goals within learning progressions, and uses the goals to guide instructional decisions.
Implement Tasks That Promote Reasoning and Problem Solving
Effective teaching of mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and that allow multiple entry points and varied solution strategies.
Use and Connect Mathematical Representations
Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.
Facilitate Meaningful Mathematical Discourse
Effective teaching of mathematics facilitates discourse among students to build shared understanding of mathematical ideas by analyzing and comparing student approaches and arguments.