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.

See How Odigia Works

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

Join other subject matter experts who are currently building courses in Odigia.

Share knowledge and expertise while earning extra income.