Description
Book SynopsisEngage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts.
Table of ContentsIntroduction
Low Floor, High Ceiling Tasks
Youcubed Summer Camp
Memorization versus Conceptual Engagement
Mathematical Thinking, Reasoning, and Convincing
Big Ideas
Structure of the Book
Activities for Building Norms
Encouraging Good Group Work
Paper Folding: Learning to Reason, Convince, and Be Skeptical
Big Idea 1: Seeing Patterns inside Numbers
Visualize: Visualizing Numbers
Play: What Could It Be?
Investigate: How Flexible Is a Number?
Big Idea 2: Building and Designing with Shapes and Angles
Visualize: Tile It!
Play: Those Crazy Rep-Tiles
Investigate: Polyiamonds
Big Idea 3: Making and Naming Number Patterns
Visualize: Finding Fibonacci
Play: Pattern Carnival
Investigate: All Hail!
Big Idea 4: Units Are a Relationship
Visualize: It’s All in the Axes
Play: Measure Up
Investigate: 10,000 Steps
Big Idea 5: Modeling with Unit Fractions
Visualize: Perplexing Measures
Play: Tangram Designs
Investigate: Pixeled Fractions
Big Idea 6: Fraction Equivalence
Visualize: Painting Pieces
Play: Color-Coding Fractions
Investigate: Tiling Rectangles
Big Idea 7: Illustrating Multiplication and Division
Visualize: Visual Proof
Play: Cover the Field
Investigate: Table Patterns
Big Idea 8: Using Operations Flexibly
Visualize: How Crowded Is the Crowd?
Play: Target 20
Investigate: Supply Parade
Big Idea 9: What Is a Decimal?
Visualize: Finding the Better Deal
Play: Decimals on a Line
Investigate: Can You Make It?
About the Authors
Acknowledgments
Index
