Pearson - Problem Solving Approach to Mathematics for Elementary School Teachers, A, 9/E - Rick Billstein, Shlomo Libeskind & Johnny W. Lott

In this section:

Description

This best-selling text continues as a comprehensive, skills-based resource for future teachers. In this edition, students will benefit from additional emphasis on active and collaborative learning. Revised and updated content will better prepare your students for the day when they will be teachers with students of their own.

Features

NCTM Principles and Standards for School Mathematics are fully integrated throughout the text.
Problem-solving strategies are integrated throughout the text and reinforce the strong problem-solving theme introduced in Chapter One.
A Preliminary Problem begins each chapter to get students interested in the topics to be discussed.
Applications of mathematics are integrated throughout the text.
Laboratory Activities are integrated throughout the book to provide hands-on learning exercises. A separate activities manual is also available.
Questions from the Classroom present questions posed by actual students in K-8 classrooms.
Student Pages are included to show how the mathematics is actually introduced to the K-8 student and are referenced throughout the text.
Technology Corners include spreadsheets, both graphing and scientific calculators, Geometer's Sketchpad, and computer activities.
Now Try This problems appear throughout each chapter. This feature helps students become actively involved in their learning, develop problem-solving skills, and stimulate discussion.

New To This Edition

Algebraic Reasoning: This revision includes an increase in the coverage of algebraic reasoning which is woven throughout the text.
Data Analysis and Statistical Thinking: This material has been expanded to include more content on populations, sampling, and surveys.
Research Notes: Margin notes have been added to highlight current research in mathematics and mathematics education as it relates to the content.
Problem Sets: New exercises have been added from the Trends in International Mathematics and Science Study (TIMSS) and the National Assessment of Educational Progress (NAEP). In addition, 20% of the existing exercises have been revised. We have retained the six different types of problems: (1) ongoing assessment, (2) communication, (3) open-ended, (4) cooperative learning, (5) technology, and (6) review.
Content Changes are as follows:
- Chapter 1: The reorganization of this chapter puts mathematics and problem solving first, followed by an expanded section on exploration with patterns. New problems and new student pages have been added as well as a new section on Fibonacci sequences. In the algebra section, there is increased coverage of solving equations using pan balances.
- Chapter 2: New problems and student pages have been included, as well as new models to better explain computations involving whole numbers. Work with algebraic reasoning has been expanded.
- Chapter 3: Many examples, problems in the Ongoing Assessments, and student pages have been added. The improved exposition includes much more on algebraic thinking, with examples and problems on algebraic computations analogous to their respective arithmetic computations. In addition, greater emphasis has been placed on the division algorithm, both in the text and in Ongoing Assessments.
- Chapter 4: This chapter contains many new problems and a greater emphasis on algebraic thinking, including functions and absolute value functions.
- Chapter 5: This chapter has a new discussion of fractions relating parts to the whole. Models for computations involving fractions are another addition, and the section on proportional reasoning has been expanded.
- Chapter 6: In this chapter, an increased emphasis on the use of number lines to order decimals incorporates both fractions and decimals, and further ties them together. The reordered sections introduce real numbers before applications of decimals as percents. Each section contains many new problems and references, and geometric sequences are incorporated as a tool used to approach repeating decimals. Fraction bars or percent bars help in thinking about percentage problems.
- Chapter 8: This chapter contains references to the American Statistical Association’s latest draft document on recommended data analysis and probability to be studied in grades K-12. An examination of categorical and numerical data and different treatments of these data is included, with graphical material reorganized to follow these different treatments. Following the ASA’s recommendations, the language is updated, and the fact that mode is not really a measure of central tendency is explained. Continuous and discrete data are also distinguished. Mean absolute deviation is introduced as an alternative to standard deviation, and the need to report mean with standard deviation or mean absolute deviation is acknowledged. Additional work on abuses of statistics, more examples, and more problems are also present in this chapter.
- Chapter 9: Greater emphasis has been placed on algebraic thinking, and the Questions from the Classroom feature is expanded.
- Chapter 10: This chapter contains more challenging problems, more emphasis on tying slope and similar triangles together, and the addition of applications of coordinate geometry.
- Chapter 11: More challenging problems are now presented in this chapter. The topic of measurement is slightly reorganized with more alternative solutions in converting measures given.
- Chapter 12: This chapter places greater emphasis on transformations with coordinate geometry.

Table of Contents

Chapter 1 An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

1-3 Algebraic Thinking

1-4 Logic: An Introduction

Chapter 2 Sets, Whole Numbers, and Functions

2-1 Describing Sets

2-2 Other Set Operations and Their Properties

2-3 Addition and Subtraction of Whole Numbers

2-4 Multiplication and Division of Whole Numbers

2-5 Functions

Chapter 3 Numeration Systems and Whole-Number Computation

3-1 Numeration Systems

3-2 Algorithms for Whole-Number Addition and Subtraction

3-3 Algorithms for Whole-Number Multiplication and Division

3-4 Mental Mathematics and Estimation for Whole-Number Operations

Chapter 4 Integers and Number Theory

4-1 Integers and the Operations of Addition and Subtraction

4-2 Multiplication and Division of Integers

4-3 Divisibility

4-4 Prime and Composite Numbers

4-5 Greatest Common Divisor and Least Common Multiple

4-6 Clock and Modular Arithmetic

Chapter 5 Rational Numbers as Fractions

5-1 The Set of Rational Numbers

5-2 Addition and Subtraction of Rational Numbers

5-3 Multiplication and Division of Rational Numbers

5-4 Proportional Reasoning

Chapter 6 Decimals, Percents, and Real Numbers

6-1 Introduction to Decimals

6-2 Operations on Decimals

6-3 Nonterminating Decimals

6-4 Real Numbers

6-5 Percents

6-6 Computing Interest

Chapter 7 Probability

7-1 How Probabilities Are Determined

7-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities

7-3 Using Simulations in Probability

7-4 Odds, Conditional Probability, and Expected Value

7-5 Using Permutations and Combinations in Probability

Chapter 8 Data Analysis/ Statistics: An Introduction

8-1 Statistical Graphs of Categorical and Numerical Data

8-2 Measures of Central Tendency and Variation

8-3 Abuses of Statistics

Chapter 9 Introductory Geometry

9-1 Basic Notions

9-2 Polygons

9-3 More About Angles

9-4 Geometry in Three Dimensions

9-5 Networks

Chapter 10 Constructions, Congruence, and Similarity

10-1 Congruence Through Constructions

10-2 Other Congruence Properties

10-3 Other Constructions

10-4 Similar Triangles and Similar Figures

10-5 Trigonometry Ratios via Similarity

10-6 Lines in a Cartesian Coordinate System

Chapter 11 Concepts of Measurement

11-1 Linear Measure

11-2 Areas of Polygons and Circles

11-3 The Pythagorean Theorem and the Distance Formula

11-4 Surface Areas

11-5 Volume, Mass & Temperature

Chapter 12 Motion Geometry and Tessellations

12-1 Translations and Rotations

12-2 Reflections and Glide Reflections

12-3 Size Transformations

12-4 Symmetries

12-5 Tesselations of the Plane

Appendix I: Using a Spreadsheet

Appendix II: Graphing Calculators

Appendix III: Using a Geometry Drawing Utility

Courses

Math for Future Elementary Teachers (Mathematics)

Next Edition(s)

Problem Solving Approach to Mathematics for Elementary School Teachers, A, 10/E
Billstein, Libeskind & Lott
©2010 | Pearson | Cloth; 1128 pp | Instock
ISBN-10: 0321570553 | ISBN-13: 9780321570550
Net price: $113.00 (What's this?)Brief Description |
The new edition of this best-selling text includes a new focus on active and collaborative learning, while maintaining its emphasis on developing skills and concepts. With a wealth of pedagogical tools, as well as relevant discussions of standard curricula and assessments, this book will be a valuable textbook and reference for future teachers. With this revision, two new chapters are included to address the needs of future middle school teachers, in accordance to the NCTM Focal Points document.

To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit http://www.pearsonhighered.com/teachingmath.

More Info
Problem Solving Approach to Mathematics for Elementary School Teachers, A, 11/E
Billstein, Libeskind & Lott
©2013 | Pearson | Cloth; 1032 pp | Instock
ISBN-10: 0321756665 | ISBN-13: 9780321756664
Net price: $113.00 (What's this?)Brief Description |
More than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material by promoting active learning and developing skills and concepts—it also provides an invaluable reference to future teachers by including professional development features and discussions of today’s standards.

The Eleventh Edition is streamlined to keep students focused on what is most important. The Common Core State Standards (CCSS) have been integrated into the book to keep current with educational developments. The Annotated Instructor’s Edition offers new Integrating Mathematics and Pedagogy (IMAP) video annotations, in addition to activity manual and e-manipulative CD annotations, to make it easier to incorporate active learning into your course. MyMathLab® is available to offer auto-graded exercises, course management, and classroom resources for future teachers.

To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit www.pearsonhighered.com/teachingmath

More Info
Problem Solving Approach to Mathematics for Elementary School Teachers, A, 11/E
Billstein, Libeskind & Lott
©2013 | Pearson | Cloth; 1032 pp | Instock
ISBN-10: 0321756665 | ISBN-13: 9780321756664
Net price: $113.00 (What's this?)Brief Description |
More than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material by promoting active learning and developing skills and concepts—it also provides an invaluable reference to future teachers by including professional development features and discussions of today’s standards.

The Eleventh Edition is streamlined to keep students focused on what is most important. The Common Core State Standards (CCSS) have been integrated into the book to keep current with educational developments. The Annotated Instructor’s Edition offers new Integrating Mathematics and Pedagogy (IMAP) video annotations, in addition to activity manual and e-manipulative CD annotations, to make it easier to incorporate active learning into your course. MyMathLab® is available to offer auto-graded exercises, course management, and classroom resources for future teachers.

To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit www.pearsonhighered.com/teachingmath

More Info

In this section:

Author Bios

Author Bios

Rick Billstein is a Professor of Mathematics at the University of Montana. He has worked in mathematics teacher education at this university for 40 years and his current research is in the areas of curriculum development and mathematics teacher education. He teaches courses for future teachers in the Mathematics Department and also is the site director for the Show-Me Project, an NSF-funded project supporting the dissemination and implementation of standards-based middle grades mathematics curricula. He worked on an NSF grant called Tinker Plots to develop new data analysis software and he serves on the Advisory Boards for several other national projects. From 1992-1997, he directed the NSF-funded Six Through Eight Mathematics (STEM) middle school mathematics curriculum project and is now directing the Middle Grades MATHThematics Phase II Project. Dr. Billstein has co-authored 24 books, including eight editions of A Problem Solving Approach to Mathematics for Elementary Teachers. He typically does about 25 regional and national presentations per year and has traveled to Thailand to work with the international schools there. He has also presented at the International Conferences on Mathematics Education (ICME).

Shlomo Libeskind is a professor in the mathematics department at the University of Oregon in Eugene, Oregon. He is responsible for the "pre-college" teaching major in the department and has continuously been teaching and advising preservice and inservice teachers. Dr. Libeskind has extensive writing experience (books, articles, and workshop materials) as well as experience in directing mathematics education projects. Libeskind is an active member of Oregon Mathematics Council (OMEC) and has been involved in reviewing materials for the state of Oregon's standards for college admission.

Johnny W. Lott began his teaching career in the public schools of DeKalb County, Georgia, outside Atlanta. There he taught mathematics in grades 8-12. He also taught one year at the Westminster Schools, grades 9-12, and one year in the Pelican, Alaska, school, grades 6-12. In addition, he has taught in grade schools in Montana while at The University of Montana. Johnny has been co-author of several books and has written numerous articles and other essays in the "Arithmetic Teacher", "Teaching Children Mathematics", "The Mathematics Teacher", "School Science and Mathematics", "Student Math Notes", and "Mathematics Education Dialogues". He has been the Project Manager for the "Figure This!" publications and website developed by the National Council of Teachers of Mathematics (NCTM) and was project co-director of the State Systemic Initiative for Montana Mathematics and Science (SIMMS) Project. He has served on many NCTM committees, has been a member of its Board of Directors, and was its president from April 2002-April 2004. In the Department of Mathematical Sciences at The University of Montana, Dr. Lott was a full professor and served as department chair. He is currently the Director of the Center for Teaching Excellence at the University. His doctorate is in mathematics education from Georgia State University.

Websites and Online Courses

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Websites and Online Courses

MyMathLab with eBook -- Instant Access -- for A Problem Solving Approach to Mathematics for Elementary School Teachers, 9/E
Billstein, Libeskind & Lott
©2007 | On-line Supplement; 1056 pp | Access Code Required | Live
ISBN-10: 0321331311 | ISBN-13: 9780321331311
Online purchase price: $82.00 | Students, buy access Take a Tour | More Info

MyMathLabPlus for Problem Solving Approach to Mathematics for Elementary School Teachers, 9/E
Billstein, Libeskind & Lott
©2007 | Pearson | Website; 1056 pp | Live
ISBN-10: 0321693000 | ISBN-13: 9780321693006
Online purchase price: $92.00More Info

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Course & Discipline Resources

For the Mathematics Discipline

Instructor's Testing Manual for A Problem Solving Approach to Mathematics for Elementary School Teachers, 9/E
Oursland
©2007 | Pearson | Paper | Out of Stock
ISBN-10: 032133132X | ISBN-13: 9780321331328

Powerpoint Presentations, 9/E
Billstein, Libeskind & Lott
©2007 | Pearson | Electronic Supplement | Available
ISBN-10: 0321428161 | ISBN-13: 9780321428165

Instructor's Guide for the Activities Manual, 9/E
Dolan, Williamson & Muri
©2007 | Pearson | Electronic Supplement | Available
ISBN-10: 0321396251 | ISBN-13: 9780321396259

TestGen® Computerized Test Bank for Problem Solving Approach to Mathematics for Elementary School Teachers, A, 9/E
Billstein, Libeskind & Lott
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0321331249 | ISBN-13: 9780321331243

Websites and online courses

MathXL -- Instant Access -- for A Problem Solving Approach to Mathematics for Elementary School Teachers, 9/E
Billstein, Libeskind & Lott
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 032133129X | ISBN-13: 9780321331298
More Info

Other student resources

Connecting Math for Elementary Teachers: How Children Learn Mathematics
Feikes, Schwingendorf & Gregg
©2009 | Pearson | Paper; 336 pp | Instock
ISBN-10: 0321542665 | ISBN-13: 9780321542663
Net price: $27.50 (What's this?)More Info

IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning
San Diego State University Foundation & Philipp
©2005 | Pearson | CD-ROM Only; 1 pp | Instock
ISBN-10: 0131198548 | ISBN-13: 9780131198548
Net price: $19.50 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
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Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
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Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
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Problem Solving Approach to Mathematics for Elementary School Teachers plus MyMathLab, A, 9/E
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