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.

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.

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. 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. 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.