**Math for Elementary Teachers **

The comprehensive contents from this book, combined with Odigia’s Teaching and Learning Tools have everything you need to engage, collaborate, track and assess your students.

**Helping Teachers Do What They Do Best: Teach**

**Customize**

Use our courses as is or easily customize them to fit your teaching style and the needs of your students. Hide and show existing content, assessments and add your own favorite resources. Everything your students need, in one place!

**Engage and Collaborate**

Odigia combines learning materials, discussions, and tools to create a familiar social experience for students allowing you to easily connect and redirect students attention.

**Track**

See how much time students are spending on different areas of the course, which areas are creating the most amount of engagement and identify topics the students are struggling with. Flag and provide feedback on assignments to proactively meet individual students’ needs.

**Assess**

Game theory allows students to monitor their progress visually and motivates them to stay on track. Students can see exactly what activities they need to complete, which ones have been flagged and compare their progress against the overall class.

### Math for Elementary Teachers Course Outline

### Problem Solving

Concepts Covered:

- 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

Concepts Covered:

- Dots and Boxes
- Other Rules
- Binary Numbers
- Other Bases
- Number Systems
- Even Numbers
- Problem Bank
- Exploration

### Numbers and Operations

Concepts Covered:

- 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

Concepts Covered:

- 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

Concepts Covered:

- Introduction
- Borders on a Square
- Careful Use of Language in Mathematics: =
- Growing Patterns
- Matching Game
- Structural and Procedural Algebra

### Place Values and Decimals

Concepts Covered:

- 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

### Geometry

Concepts Covered:

- Introduction
- Tangrams
- Triangles and Quadrilaterals
- Polygons
- Platonic Solids
- Painted Cubes
- Symmetry
- Geometry in Art and Science

### Voyaging on Hōkūle`a

Concepts Covered:

- IntroductionHōkūle`aWorldwide VoyageNavigation

**About the book**

**Mathematics for Elementary Teachers **

*Mathematics for Elementary Teachers* 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. Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.

**About the authors:**

## Senior Contributing Authors

**Michelle Manes**, University of Hawaii