# Mathematics

Short Name:
Math

## Making Sense of Computational Procedures

Watch this multimedia overview to learn about the importance of focusing on conceptual understanding and procedural fluency with fractions operations and how they connect. The overview describes recommended instructional practices for developing understanding of computational procedures and ways to address typical student misconceptions.

SOURCE: Doing What Works

## Learning to Think Proportionally

James Lewis discusses what it means to think proportionally and offers examples from everyday contexts. He describes the conceptual progression toward working with cross-multiplication and demonstrates using ratio tables as a tool for solving problems.

FEATURING: W. James (Jim) Lewis, University of Nebraska - Lincoln

SOURCE:  Doing What Works

## Dumb Friends League Problem

Students work on this set of real-world problems about placing homeless dogs in animal shelters. The problems require comparison of fractions as seen in Grade 5 Number Talk.

SOURCE: Doing What Works

Follow a teacher’s lesson on adding and subtracting fractions using fraction equivalents and relationships. Children share their strategies for solving the problems described in Dumb Friends League Problem.

FEATURING: Cindy Matthews, Tollgate Elementary School (CO)

SOURCE: Doing What Works

## Fractions on a Number Line

A fourth-grade teacher describes students’ challenges in moving from a part-whole interpretation of fractions to seeing them as numbers. Student pairs work on locating fractions and decimal and percent equivalents on a number line.

FEATURING: Vonda Franklin, Eliza Hart Spalding School of Math and Technology (ID)

SOURCE: Doing What Works

## Multiply or Divide?

This staff development session provides suggestions for helping students understand fraction multiplication and division concepts. Follow the full session through Focus on Fraction Operations and Multiply or Divide Problems.

FEATURING: RMC Denver Professional Development

SOURCE: Doing What Works

## Multiply or Divide Problems

Participants in the Multiply or Divide? staff development session on fraction operations worked with this problem set to strengthen their understanding of fraction multiplication and division concepts. See Focus on Fraction Operations for additional background.

SOURCE: Doing What Works

## Focus on Fraction Operations

This PowerPoint covers the content of a staff development session for math coaches and teachers about how to teach fraction operations. Multiply or Divide? shows a portion of the workshop in which participants are working on the sample material, Multiply or Divide Problems.

FEATURING: RMC Denver Professional Development

SOURCE: Doing What Works

## Ratio, Rate, and Proportion Problems

This collection of twelve ratio, rate, and proportion problems was contributed by the University of Nebraska's James Lewis and includes his comments on solutions and notes about the potential difficulties students may face.

SOURCE: Doing What Works

## Build a Cafe

As seen in Cross-Multiply? Not So Fast, this PowerPoint presents a series of real-world problems that students need to solve using their knowledge of ratios.

SOURCE: Doing What Works