Visualizing and Investigating Big Ideas, Grade 7
1. Auflage September 2019
304 Seiten, Softcover
Wiley & Sons Ltd
Preis: 22,90 €
Preis inkl. MwSt, zzgl. Versand
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 seventh-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.
Low-Floor, High-Ceiling Tasks
Youcubed Summer Camp
Memorization versus Conceptual Engagement
Mathematical Thinking, Reasoning, and Convincing
Structure of the Book
Note on Materials
Activities for Building Norms
Encouraging Good Group Work
Paper Folding: Learning to Reason, Convince, and Be a Skeptic
Big Idea 1: Connecting 2D & 3D Worlds
Visualize: Seeing Slices
Play: Playing with Clay
Investigate: The Area of Slices
Big Idea 2: Constructing Figures to Scale
Visualize: What is Scale?
Play: A Fishy Image
Investigate: Magnifying Solids
Big Idea 3: Seeing Proportional Relationships
Visualize: Growing Dough
Play: Is It Proportional?
Investigate: Sizing Up Proportions
Big Idea 4: Understanding Percents in the World
Visualize: Painting Percents
Play: Building Benchmarks
Investigate: What's It Going to Cost?
Big Idea 5: Building Intuition about Probability
Visualize: Is It Fair?
Play: Fair Sums?
Investigate: What's in the Bag?
Big Idea 6: Modeling Probabilities
Visualize: What's the Chance of That?
Play: Probability Carnival
Investigate: Go, Go Galton Board!
Big Idea 7: Sampling to Understand Populations
Visualize: Sampling Dots and Beads
Play: Catch and Release
Investigate: Wildlife Populations
Big Idea 8: Operating with Opposites
Visualize: Line Dancing
Play: Integer Tic-Tac-Toe
Investigate: Coordinating Multiplication
Big Idea 9: Using Algebra as a Problem-Solving Tool
Visualize: Case by Case
Play: (Non) Linear Pattern Puzzles
Investigate: Linear Letters
Big Idea 10: Exploring Circles
Visualize: Building Hunches about Circumference
Play: Dissecting Circle Area
Investigate: Unraveling Circles
Centimeter Grid Paper
1" Grid Paper
Snap Cube Grid Paper
Isometric Dot paper
About the Authors
JEN MUNSON is an assistant professor of learning sciences at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in teacher education and mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction and coaching.
CATHY WILLIAMS is the co-founder and the executive director of youcubed at Stanford University. Before working at youcubed, she was a high school math teacher and worked in mathematics curriculum and administration at the county and district levels in California.