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

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

1246 views
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...

Resource Type

Expert Interview

616 views
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

578 views
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

657 views
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

924 views
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

697 views
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

868 views
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

732 views
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

723 views
Document

Problems: Connecting Mathematical Ideas to Notation

Problem Solving > Problem-Solving Instruction > See How It Works

In the media piece, Connecting Mathematical Ideas to Notation, Dr. Sybilla Beckmann presents two examples of problems showing how students can connect mathematical concepts and notation. This...

Resource Type

Sample Material

1070 views
Document

Pre-Algebra Fencing Task

Problem Solving > Problem-Solving Instruction > See How It Works

At Papillion Junior High School, seventh-grade students work in groups on a non-routine geometry problem. This sample material has a fencing task worksheet and photos of students’ presentations of...

Resource Type

Sample Material

1017 views
Document

Fraction Problem: Part of a Part

Problem Solving > Problem-Solving Instruction > See How It Works

Grade 6 students at Patriot Elementary use several strategies to solve a real-world, part of a part problem. This sample material has the scenario and statement of the problem along with pictures...

Resource Type

Sample Material

1029 views
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