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Mathematics for Elementary School Teachers

By Tom Bassarear, Meg Moss

7th Edition © 2020
Discipline:Mathematics
Course:Mathematics for Education
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MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 7th Edition, offers an engaging, hands-on, exploratory experience to help future elementary school teachers develop conceptual and deep understanding of the math concepts they will be teaching, as well as to nurture their positive beliefs and attitudes about math. Intended for the one-, two-, three- or four-semester mathematics course required of Elementary Education majors, the 7th edition demonstrates that there are many paths to solving a problem, and sometimes problems have more than one solution. Authors Bassarear and Moss present real-world problems in a way that requires active learning in a method similar to how archaeologists work in the field: they carefully uncover the concepts, slowly revealing more and more of the structure. An emphasis on explorations and investigations helps students make sense of the concepts, which are developed through a concrete/contextual and pictorial approach to understand the more abstract concepts. Students learn both the necessary mathematics and how to teach to young children. Available with WebAssign, a flexible and fully customizable online instructional solution that enables instructors to instantly assess student and class performance, and helps students master the course concepts.

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About this product

MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 7th Edition, offers an engaging, hands-on, exploratory experience to help future elementary school teachers develop conceptual and deep understanding of the math concepts they will be teaching, as well as to nurture their positive beliefs and attitudes about math. Intended for the one-, two-, three- or four-semester mathematics course required of Elementary Education majors, the 7th edition demonstrates that there are many paths to solving a problem, and sometimes problems have more than one solution. Authors Bassarear and Moss present real-world problems in a way that requires active learning in a method similar to how archaeologists work in the field: they carefully uncover the concepts, slowly revealing more and more of the structure. An emphasis on explorations and investigations helps students make sense of the concepts, which are developed through a concrete/contextual and pictorial approach to understand the more abstract concepts. Students learn both the necessary mathematics and how to teach to young children. Available with WebAssign, a flexible and fully customizable online instructional solution that enables instructors to instantly assess student and class performance, and helps students master the course concepts.

An emphasis on "owning" knowledge versus "renting" is promoted by a constructionist approach to learning, where connections are reinforced, and problems are authentic so that students retain what they have learned. By participating in investigations, the students are doing the mathematics themselves.

Investigations serve as the primary means of instruction and are uniquely designed to promote active thinking, reasoning, and construction of knowledge. Many investigations are followed by multiple solving strategies, allowing students to analyze numerous approaches to solving problems. Likewise, questions appear throughout the text, to prompt students to reflect or complete a short exercise before continuing.

Throughout the text, Classroom Connections are highlighted to provide observations, tips, and notes about elementary and middle school classrooms. Students can see children's thinking through examples of children's work and actual lessons from elementary-age and middle-school class assignments and practice exercises.

The book teaches students to add, subtract, and multiply in base 5, so that they better understand our number system, but more importantly understand the difficulties that young children have learning those operations.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
About the Authors
A Message from Tom Bassarear
New to the Seventh Edition!
Preface
Supplements
Acknowledgments
1. Foundations for Learning Mathematics*Preview this chapter
2. The Number System
3. Understanding Addition and Subtraction
4. Understanding Multiplication and Division
5. Proportional Reasoning
6. Algebraic Thinking
7. Understanding Statistics and Probability
8. Geometry as Shape
9. Geometry as Measurement
10. Geometry as Transforming Shapes
Appendix B. Answers to Questions in Text
The Eight Mathematical Practices of the Common Core State Standards
Four Steps for Solving Problems
Show more

1. Foundations for Learning MathematicsPreview this chapter ↗

Section 1.1. What Is Mathematics?
Preview this section ↗
Mathematical Growth Mindset ↗
Owning Versus Renting ↗
Mathematical Knowledge for Teaching ↗
Mathematical Problem Solving ↗
Polya’s Four Steps ↗
Why Emphasize Problem Solving? ↗
Mathematical Process, Practice, and Content Standards ↗
Overarching Habits of Mind of a Productive Mathematical Thinker: MP 1 and MP 6 ↗
Reasoning and Explaining: MP 2 and MP 3 ↗
Modeling and Using Tools: MP 4 and MP 5 ↗
Seeing Structure and Generalizing: MP 7 and MP 8 ↗
1.1
Summary ↗
1.1
Exercises ↗
Section 1.2. Sets
Preview this section ↗
Sets as a Classification Tool ↗
Describing Sets ↗
Defining Subsets ↗
The Empty Set ↗
Equal and Equivalent Sets ↗
Venn Diagrams ↗
Operations on Sets ↗
Venn Diagrams and Relationships between Sets ↗
Venn Diagrams as a Communication Tool ↗
1.2
Summary ↗
1.2
Exercises ↗
Looking Back on Chapter 1 ↗
Chapter 1. Summary ↗
Chapter 1. Review Exercises ↗
Show more

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