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Introduction
Problem or Exercise?
Problem Solving Strategies
Beware of Patterns!
Problem Bank
Careful Use of Language in Mathematics
Explaining Your Work
The Last Step
Dots and Boxes
Other Rules
Binary Numbers
Other Bases
Number Systems
Even Numbers
Exploration
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
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
Egyptian Fractions
Algebra Connections
What is a Fraction? Part 3
Borders on a Square
Careful Use of Language in Mathematics: =
Growing Patterns
Matching Game
Structural and Procedural Algebra
Review of Dots & Boxes Model
Decimals
x-mals
Division and Decimals
More x -mals
Terminating or Repeating?
Operations on Decimals
Orders of Magnitude
Tangrams
Triangles and Quadrilaterals
Polygons
Platonic Solids
Painted Cubes
Symmetry
Geometry in Art and Science
Hōkūle`a
Worldwide Voyage
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Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.
-Paul Lockhart
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Mathematics for Elementary Teachers Copyright © 2018 by Michelle Manes is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.