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 allow multiple entry points and varied solution strategies.

Core Components with a brief description of specific adult actions (The teacher will…)

• Build on Current Understanding: Motivate students’ learning of mathematics through opportunities for exploring and solving problems that build on and extend their current mathematical understanding.
• Multiple Entry Points: Select tasks that provide multiple entry points through the use of varied tools and representations.
• High Cognitive Demand: Pose tasks on a regular basis that require a high level of cognitive demand.
• Focus on Student Thinking: Support students in exploring tasks without taking over student thinking.
• Encourage Varied Approaches and Strategies: Encourage students to use varied approaches and strategies to make sense of and solve tasks.