Mathematics for Elementary Teachers
This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.The primary g...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
University of Hawaii Manoa
[2017]
|
| Series: | Open textbook library.
|
| Subjects: | |
| Online Access: | Access online version |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- I. Problem Solving
- Introduction
- Problem or Exercise?
- Problem Solving Strategies
- Beware of Patterns!
- Problem Bank
- Careful Use of Language in Mathematics
- Explaning Your Work
- The Last Step
- II. Place Value
- Dots and Boxes
- Other Rules
- Binary Numbers
- Other Bases
- Number Systems
- Even Numbers
- Problem Bank
- Exploration
- III. Number and Operations
- Introduction
- Addition: Dots and Boxes
- Subtration: 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
- IV. 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
- V. 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
- VI. 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
- VII. Geometry
- Introduction
- Tangrams
- Triangles and Quadrilaterals
- Polygons
- Platonic Solids
- Painted Cubes
- Symmetry
- Geometry in Art and Science
- Problem Bank
- VIII. Voyaging on Hokule?a
- Introduction
- Hokule?a
- Worldwide Voyage
- Navigation