Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics
The Mindset Mathematics series offers a unique, research–based visual approach to exploring the big ideas in mathematics, which is essential to future mathematics success. This hands–on resource is for any teacher who wants to engage their fourth grade students in reasoning and persisting through problems and provides activities that will engage students′ interest and show them the many ways that mathematics is important in their lives.
During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message: Teachers want to incorporate more brain science into their mathematics instruction, but they need guidance in the techniques that work best to promote learning of mathematics concepts. In this much–needed volume, the authors clearly show what the big ideas are at this grade level, why they are important to know, and how students can best learn those big ideas.
Filled with engaging questions, open–ended tasks, and four–color visuals, Mindset Mathematics is designed to be flexible so that it can be used with any current curriculum. All of the activities and tasks include instructions for launching in the classroom, suggestions for facilitating dynamic discussions, and guidance for what to look for in student thinking as it develops.
Low Floor, High Ceiling Tasks
Youcubed Summer Camp
Memorization versus Conceptual Engagement
Mathematical Thinking, Reasoning, and Convincing
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
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