# Reasoning & explaining (MP2, MP3)

## Designing Worthwhile Problems

The two practitioners on the IES Panel discuss how to plan for problem solving in today's diverse classrooms.

FEATURING: Philip Ogbuehi, Mathematics Specialist, Los Angeles Unified School District; Patricia Herzig, Independent Mathematics Consultant

SOURCE: Doing What Works

## Talking Through Problems and Their Solutions

This multimedia overview describes the basic steps students can learn to monitor their problem-solving process. The tasks and prompts can be used throughout the problem-solving process to encourage students to monitor and reflect on their strategies.

SOURCE: Doing What Works

## Frank's Problem

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 the problem, and the second page shows the student work from four different groups.

SOURCE: Doing What Works

## Who Finishes When?

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 problem statement.

SOURCE: Doing What Works

## Problem Solving in Pre-Algebra

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 strategies employ tables, graphs, and linear equations.

FEATURING: Beth Klingher, Worthington Hooker School (CT)

SOURCE: Doing What Works

## Preparing Problems for Classroom Instruction

Watch this multimedia overview to learn what a teacher should keep in mind when selecting problems, including suggestions for how to adapt problems to ensure that students can focus on mathematical reasoning.

SOURCE: Doing What 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 their solutions.

SOURCE: Doing What Works

## Non-Routine Problem in Geometry

See how a class approaches Pre-Algebra Fencing Task, a non-routine geometry problem that challenges their mathematical reasoning.

FEATURING: Kathy Huggins, Papillion Junior High School (NE)

SOURCE: Doing What Works

## Fraction Problem

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 of posters showing the work from several student pairs.

SOURCE: Doing What Works

## Multiplication of Fractions Problem

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 highlight and how she plans for next steps.

FEATURING: Jennie Logan, Patriot Elementary School (NE)

SOURCE: Doing What Works