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Interactive Developmental Math, 1st edition

Published by Pearson (March 31, 2016) © 2017

  • Gary K. Rockswold Minnesota State University, Mankato
  • Terry A. Krieger Rochester Community and Technical College

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The Rockswold/Krieger Learning Path guides students through Interactive Developmental Math.

  1. Connect with the Math: Do the Interactive Assignment to learn the skills and concepts.
  2. Quiz Yourself: Take a quiz to test your understanding.
  3. Do Your Homework: Do the personalized homework.

This ensures that students have access to the wealth of resources (videos, extra practice, and personalized homework) they need where and when they need them to learn the math. Students master problem-solving skills, make conceptual connections, and develop the critical thinking skills they need to succeed in this course and those to follow.

  • Interactive Assignments offer a completely new way for students to learn – and instructors to assess understanding -- in MyMathLab. For each math learning objective, students read and watch videos, respond to questions to assess their mastery of skills and concepts, and complete practice exercises designed to reinforce understanding. Experiencing the math in this innovative learning environment helps students develop (and retain) conceptual connections.
  • The extensive Video Program supports both visualization and conceptual understanding with Section Introduction Videos and See the Concept Videos. Additional videos offer further explanation of skills and concepts, while others walk the student through step-by-step solutions to Examples. Videos are integrated throughout the eText in MyMathLab and also available in the multimedia library.
  • New Vocabulary is listed at the start of every section, highlighting the math concepts that are introduced in that section. This gives students a glimpse of the big picture of the section and helps with ongoing review and test preparation.
  • Examples with stepped-out solutions present the math in context, often with a step-by-step video solution. Extra practice exercises for each offer immediate reinforcement of skills and concepts.
  • Reading Checks, Making Connections, and Critical Thinking questions ensure that students have grasped the key concepts before moving on to new material.
  • Personalized Homework enables student to focus on areas where they need more practice and review. A variety of exercise types (including Guided Solutions) reinforce the skills and concepts of the course.
  • Learning Catalytics is an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking.  Instructors can use this to generate classroom discussion, guide the lecture, and promote peer-to-peer learning with real-time analytics. They can:
    • Pose a variety of open-ended questions that help your students develop critical thinking skills.
    • Monitor responses to find out where students are struggling.
    • Use real-time data to adjust your instructional strategy and try other ways of engaging your students during class.
    • Manage student interactions by automatically grouping students for discussion, teamwork, and peer-to-peer learning.


1 Whole Numbers

1.1 Introduction to Whole Numbers

1. Reviewing Natural Numbers and Whole Numbers

2. Understanding Place Value

3. Writing Whole Numbers in Word Form

4. Writing Whole Numbers in Expanded Form

5. Graphing Whole Numbers on the Number Line

6. Reading Bar Graphs and Line Graphs

7. Reading Spider Charts

8. Reading Tables

 

1.2 Adding and Subtracting Whole Numbers; Perimeter

1. Adding Whole Numbers without Regrouping

2. Adding Whole Numbers with Regrouping

3. Using Properties of Addition

4. Recognizing Words Associated with Addition

5. Subtracting Whole Numbers without Regrouping

6. Subtracting Whole Numbers with Regrouping

7. Using Properties of Subtraction

8. Recognizing Words Associated with Subtraction

9. Solving Equations Involving Addition and Subtraction

10. Solving Perimeter and Other Applications Involving Addition and Subtraction

 

1.3 Multiplying and Dividing Whole Numbers; Area

1. Multiplying Whole Numbers

2. Using Properties of Multiplication

3. Multiplying Larger Whole Numbers

4. Recognizing Words Associated with Multiplication

5. Dividing Whole Numbers

6. Using Properties of Division

7. Performing Long Division

8. Recognizing Words Associated with Division

9. Solving Equations Involving Multiplication and Division

10. Solving Area and Other Applications Involving Multiplication and Division

 

1.4 Exponents, Variables, and Algebraic Expressions

1. Understanding Exponential Notation

2. Squaring and Cubing Numerical Expressions

3. Finding Powers of Ten

4. Using Variables

5. Recognizing Algebraic Expressions

6. Evaluating Formulas

7. Translating Words to Expressions and Formulas

8. Solving Equations

 

1.5 Rounding and Estimating; Square Roots

1. Rounding Whole Numbers

2. Estimating and Approximating

3. Solving Problems Using Estimation

4. Estimating Data Graphically

5. Finding Square Roots

 

1.6 Order of Operations

1. Applying the Order of Operations Agreement

2. Evaluating Algebraic Expressions

3. Translating Words to Symbols

 

1.7 More with Equations and Problem Solving

1. Identifying Equations and Expressions

2. Recognizing Like Terms

3. Combining Like Terms

4. Applying Arithmetic Properties

5. Checking a Solution to an Equation

6. Applying a Problem-Solving Strategy

 

2 Integers

2.1 Integers and the Number Line

1. Introducing Signed Numbers

2. Finding Opposites

3. Working with Integers and Their Graphs

4. Comparing Integers

5. Finding Absolute Value

6. Solving Applications Involving Integers

 

2.2 Adding Integers

1. Adding Integers That Have Like Signs

2. Adding Integers That Have Unlike Signs

3. Recognizing the Addition Properties for Integers

4. Adding Integers Using a Number Line

5. Adding Integers Using Symbols

6. Solving Applications Involving Addition of Integers

 

2.3 Subtracting Integers

1. Subtracting Integers

2. Adding and Subtracting Integers

3. Subtracting Integers Using a Number Line

4. Subtracting Integers Using Symbols

5. Solving Applications Involving Subtraction of Integers

 

2.4 Multiplying and Dividing Integers

1. Multiplying Integers

2. Recognizing the Multiplication Properties for Integers

3. Multiplying More than Two Integer Factors

4. Dividing Integers

5. Finding Square Roots of Integers

6. Solving Applications Involving Multiplication and Division of Integers

Gary Rockswold has been a professor and teacher of mathematics, computer science, astronomy, and physical science for over 35 years. He has taught not only at the undergraduate and graduate college levels, but he has also taught middle school, high school, vocational school, and adult education. He received his BA degree with majors in mathematics and physics from St. Olaf College and his Ph.D. in applied mathematics from Iowa State University. He has been a principal investigator at the Minnesota Supercomputer Institute, publishing research articles in numerical analysis and parallel processing and is currently an emeritus professor of mathematics at Minnesota State University, Mankato. He is an author for Pearson Education and has over 10 current textbooks at the developmental and precalculus levels. His developmental coauthor and friend is Terry Krieger. They have been working together for over two decades. Making mathematics meaningful for students and professing the power of mathematics are special passions for Gary. In his spare time he enjoys sailing, doing yoga, and spending time with his family. Additional information about Gary Rockswold can be found atwww.garyrockswold.net.

Terry Krieger has taught mathematics for 20 years at the middle school, high school, vocational, community college and university levels. His undergraduate degree in secondary education is from Bemidji State University in Minnesota, where he graduated summa cum laude. He received his MA in mathematics from Minnesota State University - Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Terry currently lives and works in Rochester, Minnesota. He has been involved with various aspects of mathematics textbook publication throughout his career in mathematics education and has joined his friend Gary Rockswold as coauthor of a developmental math series published by Pearson Education. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing. Additional information about Terry Krieger can be found at www.terrykrieger.net.

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