MyLab Math with Pearson eText -- Combo Access Card -- for Mathematics for Elementary and Middle School Teachers with Activities-- 18 Weeks

by Sybilia Beckmann

• ISBN13: 9780137423507
• ISBN10: 0137423500
• Edition: 6th
• Format: Access Card
• Copyright: 2021-05-11
• Publisher: PEARSO

Summary

For courses in Mathematics for Teachers. 

This ISBN is for the 18-week MyLab combo access card. Pearson eText is included. 

Develops deep understanding of mathematics that leads to effective teaching 

Mathematics for Elementary and Middle School Teachers, 6th Edition connects the foundations of teaching K-8 mathematics to the “why” behind procedures, formulas, and reasoning. Known for her contributions to mathematics education, Sybilla Beckmann helps students develop a deep understanding of the math they will teach. 

Future teachers will learn to explain why the standard procedures and formulas of elementary and middle school mathematics are valid, why nonstandard methods can also be valid, and more. Chapters are designed to help students understand how mathematical ideas develop across grade levels. Throughout, the Classroom Activities, Problems, and narrative foster active student engagement in mathematical practices as they study mathematics content. A special Skills Review MyLab^® Math course contains practice exercises, a complete eText, and many other resources; for the 6th Edition, the online exercises have been revised to better align with the content of the textbook. The Classroom Activities, formerly bound in the textbook, are now available online (accessible via QR code or short URL from the text) or in convenient 3-hole punch format. 

Personalize learning with MyLabMath with Pearson eText 

This flexible digital platform combines unrivaled content, online assessments, and customizable features to personalize learning and improve results. 

Pearson eText is an easy-to-use digital textbook available within MyLab that lets you read, highlight, and take notes all in one place. 

NOTE: This MyLab Combo Access pack includes a MyLab access code plus a loose-leaf print version (delivered by mail) to complement your MyLab (or Mastering) experience. In addition to this access code, you will need a course invite link, provided by your instructor, to register for and use MyLab.

Author Biography

Sybilla Beckmann is a Josiah Meigs Distinguished Professor of Mathematics, Emeritus, at the University of Georgia. She received her PhD in mathematics from the University of Pennsylvania and taught at Yale University as a J.W. Gibbs Instructor of Mathematics. Her early research was on Arithmetic Geometry, but her current research is in mathematical cognition, education of teachers, and mathematics content for students at all levels, particularly for PreK through the middle grades. She has developed mathematics courses for prospective elementary and middle grades teachers at the University of Georgia and wrote this book for such courses.

A member of the writing teams for the Common Core State Standards for Mathematics and for NCTM’s Curriculum Focal Points for Prekindergarten Through Grade 8 Mathematics, she has worked on the development of several state mathematics standards. She was a member of the Committee on Early Childhood Mathematics of the National Research Council and coauthor of its report Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity. She has also been a member on a number of other national panels and committees working to improve mathematics education. Several years ago she taught an average 6th grade mathematics class every day at a local public school in order to better understand school mathematics teaching. Sybilla has won numerous awards, including the Louise Hay Award for Contributions to Mathematics Education for the Association of Women in Mathematics and the Mary P. Dolciani Award from the Mathematical Association of America. 

Sybilla enjoys playing piano, running, singing, dancing, weaving, and traveling with her family. She and her husband, Will Kazez, live in Athens, Georgia. They look forward to visits from their two children who are now away working and in graduate school. 

Table of Contents

Preface 

Solving Problems and Explaining Solutions 

1. Numbers and the Base-Ten System

1.1 The Counting Numbers 

1.2 Decimals and Negative Numbers

1.3 Reasoning to Compare Numbers in Base Ten

1.4 Reasoning about Rounding

CHAPTER REVIEW PROBLEMS

2. Fractions and Problem Solving

2.1 Defining and Reasoning about Fractions

2.2 Reasoning about Equivalent Fractions

2.3 Reasoning to Compare Fractions

2.4 Reasoning about Percent

CHAPTER REVIEW PROBLEMS

3. Addition and Subtraction

3.1 Interpretations of Addition and Subtraction 

3.2 The Commutative and Associative Properties of Addition, Mental Math, and Single-Digit Facts

3.3 Why the Standard Algorithms for Addition and Subtraction in Base Ten Work

3.4 Reasoning about Fraction Addition and Subtraction

3.5 Why We Add and Subtract with Negative Numbers the Way We Do 

CHAPTER REVIEW PROBLEMS 

4. Multiplication

4.1 Interpretations of Multiplication

4.2 Why Multiplying by 10 Is Special in Base Ten

4.3 The Commutative and Associative Properties of Multiplication, Areas of Rectangles, and Volumes of Boxes

4.4 The Distributive Property

4.5 Properties of Arithmetic, Mental Math, and Single-Digit Multiplication Facts

4.6 Why the Standard Algorithm for Multiplying Whole Numbers Works

CHAPTER REVIEW PROBLEMS 

5. Multiplication of Fractions, Decimals, and Negative Numbers 

5.1 Making Sense of Fraction Multiplication

5.2 Making Sense of Decimal Multiplication

5.3 Extending Multiplication to Negative Numbers

5.4 Powers and Scientific Notation 

CHAPTER REVIEW PROBLEMS 

6. Division 

6.1 Interpretations of Division

6.2 Division and Fractions and Division with Remainder

6.3 Why Division Algorithms Work

6.4 Fraction Division from the How-Many-Groups Perspective

6.5 Fraction Division from the How-Many-Units-in-1-Group Perspective

6.6 Dividing Decimals

CHAPTER REVIEW PROBLEMS 

7. Ratio and Proportional Relationships

7.1 Motivating and Defining Ratio and Proportional Relationships

7.2 Solving Proportion Problems by Reasoning with Multiplication and Division 

7.3 The Values of a Ratio: Unit Rates and Multipliers 

7.4 Proportional Relationships

7.5 Proportional Relationships versus Inversely Proportional Relationships 

7.6 Percent Revisited: Percent Increase and Decrease

CHAPTER REVIEW PROBLEMS 

8. Number Theory

8.1 Factors and Multiples

8.2 Even and Odd

8.3 Divisibility Tests 

8.4 Prime Numbers

8.5 Greatest Common Factor and Least Common Multiple 

8.6 Rational and Irrational Numbers

CHAPTER REVIEW PROBLEMS

9. Algebra 

9.1 Numerical Expressions

9.2 Expressions with Variables

9.3 Equations 

9.4 Solving Algebra Word Problems with Strip Diagrams and with Algebra

9.5 Sequences

9.6 Functions 

9.7 Linear and Other Relationships

CHAPTER REVIEW PROBLEMS 

10. Geometry

10.1 Lines and Angles

10.2 Angles and Phenomena in the World

10.3 Circles and Spheres

10.4 Triangles, Quadrilaterals, and Other Polygons

CHAPTER REVIEW PROBLEMS 

11. Measurement

11.1 Concepts of Measurement 

11.2 Length, Area, Volume, and Dimension

11.3 Error and Precision in Measurements

11.4 Converting from One Unit of Measurement to Another

CHAPTER REVIEW PROBLEMS 

12. Area of Shapes

12.1 Areas of Rectangles Revisited

12.2 Moving and Additivity Principles About Area

12.3 Areas of Triangles

12.4 Areas of Parallelograms and Other Polygons

12.5 Shearing: Changing Shapes Without Changing Area

12.6 Area and Circumference of Circles and the Number Pi

12.7 Approximating Areas of Irregular Shapes

12.8 Contrasting and Relating the Perimeter and Area of Shapes

12.9 Using the Moving and Additivity Principles to Prove the Pythagorean Theorem

CHAPTER REVIEW PROBLEMS 

13. Solid Shapes and Their Volume and Surface Area 

13.1 Polyhedra and Other Solid Shapes

13.2 Patterns and Surface Area

13.3 Volumes of Solid Shapes

13.4 Volume of Submersed Objects versus Weight of Floating Objects

CHAPTER REVIEW PROBLEMS 

14. Geometry of Motion and Change 

14.1 Reflections, Translations, and Rotations

14.2 Symmetry

14.3 Congruence

14.4 Constructions with Straightedge and Compass

14.5 Similarity

14.6 Dilations and Similarity

14.7 Areas, Volumes, and Similarity

CHAPTER REVIEW PROBLEMS 

15. Statistics

15.1 Formulating Statistical Questions, Gathering Data, and Using Samples

15.2 Displaying Data and Interpreting Data Displays

15.3 The Center of Data: Mean, Median, and Mode

5.4 Summarizing, Describing, and Comparing Data Distributions

CHAPTER REVIEW PROBLEMS 

16. Probability 

16.1 Basic Principles of Probability

16.2 Counting the Number of Outcomes

16.3 Calculating Probabilities of Compound Events

16.4 Using Fraction Arithmetic to Calculate Probabilities

CHAPTER REVIEW PROBLEMS 

Downloads

Bibliography

Index

Credits