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Mathematics for Elementary School Teachers 6th Edition

Tom Bassarear

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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.

Tom Bassarear, Keene State College

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.

WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of teachers, enabling you to realize your teaching goals and instantly assess individual student performance to help students learn math, not just do online homework.

  • 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.

Mathematics for Elementary School Teachers

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.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

PowerPoint® with Image Library and Instructor's Companion

ISBN: 9781305112919

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781305113046

Student Solutions Manual

ISBN: 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.

Explorations, Mathematics for Elementary School Teachers

ISBN: 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.

FOR STUDENTS

Student Solutions Manual

ISBN: 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.

Explorations, Mathematics for Elementary School Teachers

ISBN: 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.