Problem-Solving Instruction
Recommended Practice: Teach students to use visual representations, employ multiple problem-solving strategies, and relate mathematical concepts and notation to problem solving.
- Overview & Tools: Video overviews and professional development materials
- Learn What Works: Expert interviews about problem-solving instruction
- See How It Works: Videos and sample materials from schools
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Effective Problem-Solving Instruction
Problem Solving > Problem-Solving Instruction > Overview & Tools
This summary describes a wide range of research-based recommendations for guiding instruction in problem solving. Three important strategies that apply at all grade levels and in all areas of math...
Resource Type
Overview
Matching Visuals to Purpose in Problem Solving
Problem Solving > Problem-Solving Instruction > Learn What Works
Dr. Asha Jitendra shows and discusses the role of different types of visualizations in problem solving, especially their usefulness for students struggling with math.
Resource Type
Expert Interview
Multiple Problem-Solving Strategies in Instruction
Problem Solving > Problem-Solving Instruction > Learn What Works
Dr. Driscoll explains how use of multiple strategies contributes to student learning by letting students see problems in new ways. He stresses the importance of worked examples and comparing and...
Resource Type
Expert Interview
Algebraic Notation in Problem Solving
Problem Solving > Problem-Solving Instruction > Learn What Works
Dr. Ken Koedinger provides examples that demonstrate the importance of bringing mathematical notation into the problem-solving process.
Resource Type
Expert Interview
Connecting Mathematical Ideas to Notation
Problem Solving > Problem-Solving Instruction > See How It Works
Dr. Sybilla Beckmann uses two different problems to demonstrate how to develop mathematical concepts and present mathematical notation in problem-solving situations. Related...
Resource Type
Expert Interview
Non-Routine Problem in Geometry
Problem Solving > Problem-Solving Instruction > See How It Works
See how a class approaches "Pre-Algebra Fencing Task," a non-routine geometry problem that challenges their mathematical reasoning. Related Files: Pre-Algebra Fencing Task (Sample...
Resource Type
School Example
Problem Solving in Pre-Algebra
Problem Solving > Problem-Solving Instruction > See How It Works
Watch as a teacher challenges her students with the real-world problem of a race in Who Finishes When? Visual representations help students think about how the problem can be solved. Solution...
Resource Type
School Example
Representing a Problem Visually
Problem Solving > Problem-Solving Instruction > See How It Works
See how different groups of students use double number lines and other visuals to tackle "Frank's Problem," which involves figuring out the most efficient travel routes in terms of...
Resource Type
School Example
Multiplication of Fractions
Problem Solving > Problem-Solving Instruction > See How It Works
Listen to how a teacher considers the problem-solving strategies students use in a multiplication of fractions problem involving part of a part. She describes which strategies she chooses to...
Resource Type
School Example
Who Finishes When?
Problem Solving > Problem-Solving Instruction > See How It Works
At Worthington Hooker School, pre-algebra students work on the Who Finishes When? problem. They use visual representations to interpret the information in the problem. This sample material has the...
Resource Type
Sample Material
Roll Around the Clock
Problem Solving > Problem-Solving Instruction > See How It Works
Students use a clock visual for fractions and problem solve with fraction concepts while playing Roll Around the Clock. This sample material presents instructions for the game along with a clock...
Resource Type
Sample Material
Frank's Problem
Problem Solving > Problem-Solving Instruction > See How It Works
Grade 6 students at Madison Elementary School use visual representations to present their solutions to Frank’s Fresh Farm Produce problem. The first page of the sample material has a statement of...
Resource Type
Sample Material