Engage 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. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the eighth-grade level through visualization, play, and investigation.
During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that:
- There is no such thing as a math person - anyone can learn mathematics to high levels.
- Mistakes, struggle and challenge are the most important times for brain growth.
- Speed is unimportant in mathematics.
- Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics.
With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Big Idea 1: Moving Shapes
Visualize: What does it mean to be the same?
Play: Pixel Puzzles
Investigate: Slide It, Flip It, Turn It
Big Idea 2: Zooming In and Out
Visualize: What is Similarity?
Play: Find the Fakes
Investigate: Growing on a Grid
Big Idea 3: Analyzing Proportional Relationships
Visualize: Dropping the Altitude
Play: Seeing Triangles Under the Line
Investigate: Ramp It Up
Big Idea 4: Comparing Patterns of Growth
Visualize: Squared Squares
Play: Skip Counting Arrays
Investigate: Stairway to Eleven
Big Idea 5: The Ins and Outs of Functions
Visualize: Growing Functions
Play: Getting Warmer!
Investigate: The Functions of Near Squares
Big Idea 6: Finding Patterns in the Clouds
Visualize: What’s Going on in this Graph?
Play: What’s the Story Here?
Investigate: Creating Data Visualizations
Big Idea 7: Completing the Real Number System
Visualize: Square Sides
Play: Between 4x4 and 5x5
Investigate: The Hypotenuse Hypothesis
Big Idea 8: Discovering Pythagoras
Visualize: Unpacking Pythagoras
Play: Pythagorean Triples
Investigate: Approximating Square Roots
Big Idea 9: Exploring the Geometry of Ice Cream
Visualize: Building Intuition about Volume
Play: Comparing Cylinders
Investigate: Scooping Up Volume