Higher Education

Mathematics for Elementary School Teachers, 6th Edition

  • Tom Bassarear Keene State College
  • Meg Moss
  • ISBN-10: 1305071360  |  ISBN-13: 9781305071360
  • 704 Pages
  • Previous Editions: 2012
  • © 2016 | Published
  • College Bookstore Wholesale Price = $201.00
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About

Overview

MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 6E offers future teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations. In this text, intended for the one- or two-semester course required of Education majors, Bassarear demonstrates that there are many paths to solving a problem, and sometimes problems have more than one solution. The author presents real-world problems—problems that require active learning in a method similar to how archaeologists explore an archaeological find: they carefully uncover the site, slowly revealing more and more of the structure. Visual icons throughout the main text allow instructors to easily connect content to the hands-on activities in the corresponding Explorations Manual. With this exposure, future teachers will be better able to assess student needs using diverse approaches.

Features and Benefits

  • An emphasis on owning knowledge constructing versus "renting" promotes connections between concepts and working through problems first-hand.
  • Investigations serve as the primary means of instruction and are uniquely designed to promote active thinking, reasoning, and construction of knowledge. Multiple strategies occur after many Investigations, allowing students to analyze numerous approaches to solving problems. Likewise, questions appear throughout the text, often accompanied by the "pencil" icon that prompt students to pause in their reading to reflect or complete a short exercise before continuing.
  • Throughout the text, connections are made to children's thinking through the Classroom Connections, observed as marginal notes, examples from elementary-age class assignments, and practice exercises.

Table of Contents

Preface.
1. Foundations for Learning Mathematics.
Getting Started and Problem Solving. Process, Practice, and Content Standards. Questions to Summarize Big Ideas. Chapter 1 Summary. Chapter 1 Review Exercises.
2. Sets and Numeration.
Sets. Numeration. Questions to Summarize Big Ideas. Chapter 2 Summary. Chapter 2 Review Exercises.
3. The Four Fundamental Operations of Arithmetic.
Understanding Addition. Understanding Subtraction. Understanding Multiplication. Understanding Division. Questions to Summarize Big Ideas. Chapter 3 Summary. Chapter 3 Review Exercises.
4. Extending the Number System.
Integers. Fractions and Rational Numbers. Understanding Operations with Fractions. Beyond Integers and Fractions. Questions to Summarize Big Ideas. Chapter 4 Summary. Chapter 4 Review Exercises.
5. Proportional Reasoning.
Ratio and Proportion. Percents. Questions to Summarize Big Ideas. Chapter 5 Summary. Chapter 5 Review Exercises.
6. Algebraic Thinking.
Understanding Patterns, Relations, and Functions. Represent and Analyze Math Situations and Structures Using Algebraic Symbols. Mathematical Models. Analyzing Change. Questions to Summarize Big Ideas. Chapter 6 Summary. Chapter 6 Review Exercises.
7. Uncertainty: Data and Chance.
The Process of Collecting and Analyzing Data. Going Beyond the Basics. Concepts Related to Chance. Counting and Chance. Questions to Summarize Big Ideas. Chapter 7 Summary. Chapter 7 Review Exercises.
8. Geometry as Shape.
Basic Ideas and Building Blocks. Two-Dimensional Figures. Three-Dimensional Figures. Questions to Summarize Big Ideas. Chapter 8 Summary. Chapter 8 Review Exercises.
9. Geometry as Measurement.
Systems of Measurement. Perimeter and Area. Surface Area and Volume. Looking Back on Chapter 9. Chapter 9 Summary. Chapter 9 Review Exercises.
10. Geometry as Transforming Shapes.
Congruence Transformations. Symmetry and Tessellations. Similarity. Questions to Summarize Big Ideas. Chapter 10 Summary. Chapter 10 Review Exercises.
Appendix A: Selected Answers.
Appendix B: Answers to Questions in Text.
Endnotes.
Photo Credits.
Index.

What's New

  • One of the biggest changes to the Sixth Edition involves the integration of the Common Core State Standards CCSS0 and the Mathematical Practices of the CCSS. By making parallel references to the CCSS with the introduction of new topics or concepts, students will begin to develop a more solid understanding of how the Common Core relates to the curriculum across K-8.
  • In the Sixth Edition, the authors introduce Singaporean Bar Models. Exposing students to Singapore Math helps "round out" the education of pre-service math teachers. The bar models offer an additional tool for learning important K-8 math.
  • Exercises that incorporate technology have been added. Through these exercises, students gain knowledge of valuable resources, such as the National Library for Virtual Manipulatives, that will serve them in future K-8 classrooms.
  • The content of Chapter 4 Number Theory from the Fifth Edition has been integrated into the textbook, where appropriate. This puts the content into better context, so that students may more directly see the relevancy and apply the skills.
  • Chapter 6 Algebraic Thinking is new. The authors have expanded the discussion of algebraic thinking that was previously found in Section 2.3, to include expanded topic coverage including more investigations, explorations, and exercises.
  • The text now includes Questions to Summarize Big Ideas within the end-of-chapter Summaries. These questions articulate major "take-away" ideas from the chapter and help students reflect on what they have learned.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Printed Text + Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses

ISBN-10: 1337082872 | ISBN-13: 9781337082877

List Price = $273.95  | CengageBrain Price = $273.95  | College Bookstore Wholesale Price = $206.00

This Bundle Includes:

  • Mathematics for Elementary School Teachers
    List Price = $267.95  | CengageBrain Price = $267.95  | College Bookstore Wholesale Price = $201.00
  • Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

PowerPoint® with Image Library and Instructor's Companion  (ISBN-10: 1305112911 | ISBN-13: 9781305112919)

Cengage Learning Testing, powered by Cognero Instant Access  (ISBN-10: 1305113047 | ISBN-13: 9781305113046)

Student Solutions Manual  (ISBN-10: 1305108337 | ISBN-13: 9781305108332)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $41.95  | CengageBrain Price = $41.95  | College Bookstore Wholesale Price = $31.50

Explorations, Mathematics for Elementary School Teachers  (ISBN-10: 1305112830 | ISBN-13: 9781305112834)

This manual contains open-ended activities for students to practice and apply the knowledge learned from the main text. When students begin teaching, they can use the activities as models in their own classrooms.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Student Supplements

Student Solutions Manual  (ISBN-10: 1305108337 | ISBN-13: 9781305108332)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $41.95  | CengageBrain Price = $41.95  | College Bookstore Wholesale Price = $31.50

Explorations, Mathematics for Elementary School Teachers  (ISBN-10: 1305112830 | ISBN-13: 9781305112834)

This manual contains open-ended activities for students to practice and apply the knowledge learned from the main text. When students begin teaching, they can use the activities as models in their own classrooms.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)

Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)

Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Meet the Author

Author Bio

Tom Bassarear

Tom Bassarear is a professor at Keene State College in New Hampshire. He received his BA from Claremont-McKenna College, his MA from Claremont Graduate School, and was awarded an Ed.D degree from the University of Massachusetts. Tom's complementary degrees in mathematics and educational psychology have strongly influenced his convictions about education—specifically, mathematics education. Before teaching at the college level, he taught both middle school and high school mathematics. Since arriving at Keene State College, Tom has spent many hours in elementary classrooms observing teachers and working with them in school and workshop settings, plus, he has taught 4th grade math every day for a semester at a local elementary school.

Meg Moss

Meg Moss began teaching the mathematics for elementary school teachers course over 20 years ago. She obtained her MA in Math Education from Appalachian State University and her PhD in Math Teacher Education from the University of Tennessee, Knoxville. She has been actively involved in various roles, influencing teacher education training throughout her career.