Problem-Solving Instruction
Teach students to use visual representations, employ multiple problem-solving strategies, and relate mathematical concepts and notation to problem solving.
To help students develop proficiency in mathematical problem solving, teachers need to guide them in translating quantitative information into symbolic equations—the arithmetic/algebraic statements that will provide a solution—and encourage the comparison and use of various problem-solving strategies. Students who have practice using multiple problem-solving strategies, sharing and comparing strategies with other students, have greater flexibility in solving math problems and understand that problems can be solved in more than one way depending on the method that makes the most sense to them. By explaining notation in the context of problem solving, prompting students to provide mathematically valid explanations, and introducing algebraic notation, teachers can help students develop new ways of reasoning. In addition, using appropriate visual representations (e.g., table, graph, and/or diagram) helps students solve problems by linking the quantitative relationships in the problem with mathematical operations.
- Items 13 - 20 of 20
Sort by:
Recommended For You
Tool
Connecting Visuals to Problem Types
Math coaches and teachers can use this tool as a quick reference for examples of visual representations for different types of problems. See the sample material, Using Visual Representations for...
Planning Template
Problem Solving Planning Template #1
For working with schools on identifing the strategies that are already in place to support effective problem-solving instruction and determine what additional steps could be taken to strengthen...
Planning Template
Problem Solving Planning Template #4
This tool shows alignment with Common Core State Standards, for planning professional development.
Tool
Coaching Checklist for Problem Planning
Instructional leaders and mathematics coaches can use this self-assessment to reflect on their practices in supporting teachers to plan lessons and to guide students in learning to be competent...
Sample Material
Tasks and Question Prompts
This sample question list is organized to go along with tasks in problem solving. Teachers can use this list to prepare prompts and to help students monitor and reflect during the problem-solving...
Tool
Walk-Throughs: Teaching Problem Solving
Instructional leaders can use this tool to frame observational walk-throughs of elementary and middle school math classes. Related Media and Files: Improving Mathematical Problem Solving...