This textbook is designed to support a two-semester mathematics content course sequence for future elementary teachers. Sections are designed to be worked through collaboratively in class with frequent investigations and think/pair/share activities. Each chapter ends with a problem bank of more in-depth homework exercises. The book emphasizes building students’ confidence and their ability to solve problems and explain mathematical ideas. It is in use throughout the University of Hawaii system and several other institutions around the United States.
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Mathematics for Elementary Teachers for free.
- Title
- Mathematics for Elementary Teachers
- Author(s)
- Michelle Manes
- Published
- 2018
- Edition
- 1
- Format
- eBook (pdf, epub, mobi)
- Pages
- 449
- Language
- English
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
Mathematics for Elementary Teachers Mathematics for Elementary Teachers Contents Problem Solving Introduction Problem or Exercise? Problem Solving Strategies Beware of Patterns! Problem Bank Careful Use of Language in Mathematics Explaining Your Work The Last Step Place Value Dots and Boxes Other Rules Binary Numbers Other Bases Number Systems Even Numbers Problem Bank Exploration Number and Operations Introduction Addition: Dots and Boxes Subtraction: Dots and Boxes Multiplication: Dots and Boxes Division: Dots and Boxes Number Line Model Area Model for Multiplication Properties of Operations Division Explorations Problem Bank Fractions Introduction What is a Fraction? The Key Fraction Rule Adding and Subtracting Fractions What is a Fraction? Revisited Multiplying Fractions Dividing Fractions: Meaning Dividing Fractions: Invert and Multiply Dividing Fractions: Problems Fractions involving zero Problem Bank Egyptian Fractions Algebra Connections What is a Fraction? Part 3 Patterns and Algebraic Thinking Introduction Borders on a Square Careful Use of Language in Mathematics: = Growing Patterns Matching Game Structural and Procedural Algebra Problem Bank Place Value and Decimals Review of Dots & Boxes Model Decimals x-mals Division and Decimals More x -mals Terminating or Repeating? Matching Game Operations on Decimals Orders of Magnitude Problem Bank Geometry Introduction Tangrams Triangles and Quadrilaterals Polygons Platonic Solids Painted Cubes Symmetry Geometry in Art and Science Problem Bank Voyaging on Hōkūle`a Introduction Hōkūle`a Worldwide Voyage Navigation
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