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.

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Effective Problem-Solving Instruction
Video

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

4161 views
Matching Visuals to Purpose in Problem Solving
Video

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

2898 views
Multiple Problem-Solving Strategies in Instruction
Video

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

2545 views
Algebraic Notation in Problem Solving
Video

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

2275 views
Connecting Mathematical Ideas to Notation
Video

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 Files: Problems:...

Resource Type

Expert Interview

2378 views
Non-Routine Problem in Geometry
Video

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

2986 views
Problem Solving in Pre-Algebra
Video

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

2293 views
Representing a Problem Visually
Video

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

2229 views
Multiplication of Fractions
Video

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

2563 views
Who Finishes When?
Document

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

2388 views
Roll Around the Clock
Document

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

2863 views
Frank's Problem
Document

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

2540 views
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