## Math Instructional Strategies: Number Operations

This collection of resources was produced by KET for adult educators. Videotaped segments taken in actual classroom settings provide examples of strategies for teaching math in the adult education classroom. You will find techniques for using “hooks” to create relevance, suggestions for illustrating the relationship among decimals, fractions and percents, and examples of strategies to determine student understanding after a lesson. Some lessons are presented in traditional lecture-based style, while others feature student discussion and collaboration.

• ## Inquiry-Based: The Relationship Among Fractions, Decimals, and Percents | Part 1

In this video, viewers watch as adult education instructor S.J. Brennan introduces the concept that fractions, decimals and percent are different ways of expressing portions or pieces of objects, groups, and numbers. She asks her students' input in creating a mind map to help them to make prior knowledge and real-world connections to these relationships that many adult students find problematic.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Lecture-Based: Hook

In this video, adult education instructor Mike Caudill demonstrates teaching using a hook, in this case using real-life examples. A hook helps to establish relevancy for an adult student. Real-life examples are one type of hook. He presents this lesson in a traditional, lecture-based style.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: The Relationship Among Fractions, Decimals, and Percents | Part 3

In this video, viewers watch as adult education instructor S.J. Brennan introduces the terms “numerator” and “denominator,” connecting these terms to her students’ everyday understanding of “parts” and “whole.” She provides several examples to reinforce the connection. Connections to prior knowledge help students learn new terms.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Lecture-Based: Manipulatives

In this video, adult education instructor Mike Caudill uses manipulatives and a number line to illustrate how fractions may represent pairs of a group. Manipulatives can be effective tools to engage learners of all ages. Those students with a tactile or kinesthetic learning preference may benefit from the use of manipulatives. Effective use of these tools help students make learning connections to both previous knowledge and to future, needed knowledge.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: Cooperative Learning | Part 1

In this video, Adult education instructor S.J. Brennan connects her student's understanding of fractions as parts of a whole to introduce the equivalent mathematic representation of percent. She continues to use real-world examples to reinforce the connection the group is making as the lesson progresses and then allows students to work on their own to investigate and solve a practice problem.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Lecture-Based: Summarizing and Comparing

In this video, adult education instructor Michael Caudill makes the connection between fractions and decimals, pointing out the ease with which terms can be expressed in decimals when fractions become too cumbersome to operate. He uses a number line to summarize and compare the relationship between fractions and decimals and relates this in a traditional, lecture-based teaching style.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: Reinforcement

In this video, adult education instructor S.J. Brennan uses the technique of reinforcement following an instructional session. As she reexamines the equivalence of the mathematical expressions of fractions, decimals, and percents preceding her students’ independent practice on several example problems, she reinforces their diligent efforts and understanding.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: Converting Fractions to Percents

In this video, adult education instructor S.J. Brennan extends the lesson to show her students how to convert fractions to percents. She relies on the understanding her students have already developed throughout the lesson regarding the equivalence of fractions, decimals, and percents, facilitating their own investigation of the new concept.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: Cooperative Learning Part 2

Students convert fractions to percents cooperatively, with instructor support.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Inquiry-Based: Independent Practice

In this video, adult education instructor S.J. Brennan allows her students to work independently, facilitating their work to solve several practice problems. The students then share their work as Brennan provides guidance so that they can find the correct process to solve each problem. As students gain confidence and skills, the instructor becomes more of a facilitator.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.

• ## Lecture-Based: Common Denominator

In this video, viewers observe adult education instructor Michael Caudill making use of a traditional, lecture-based style as he introduces a method for adding fractions with differing denominators.

These resources are part of KET's Math Instructional Strategies: Number Operations collection.