0

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

eBook - Mindset Mathematics

Erschienen am 12.07.2018, 1. Auflage 2018
18,99 €
(inkl. MwSt.)

Download

E-Book Download
Bibliografische Daten
ISBN/EAN: 9781119358794
Sprache: Englisch
Umfang: 256 S., 4.24 MB
E-Book
Format: EPUB
DRM: Adobe DRM

Beschreibung

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 third-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 messagethat 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 designedMindset 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 inMindset 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.

Autorenportrait

JO BOALER is a professor of mathematics education at Stanford University and co-founder and faculty director of youcubed. She serves as an advisor to several Silicon Valley companies and is a White House presenter on girls and STEM (Science, Technology, Engineering, and Math). The author of seven books, includingMathematical Mindsets, and numerous research articles, she is a regular contributor to news and radio in the United States and England.

JEN MUNSON is a postdoctoral fellow at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction.

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.

Inhalt

Introduction 1

Low-Floor, High-Ceiling Tasks 2

Youcubed Summer Camp 3

Memorization versus Conceptual Engagement 4

Mathematical Thinking, Reasoning, and Convincing 5

Big Ideas 9

Structure of the Book 10

Activities for Building Norms 17

Encouraging Good Group Work 17

Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21

Big Idea 1: Solving Problems with Data 23

Visualize: Tongues, Tails, and in Between 25

Play: Inspector Graph-It 36

Investigate: Data Tells Us about Ourselves 41

Big Idea 2: Thinking around Shapes 51

Visualize: Get Your Arms around It 53

Play: 36-Unit Walk 59

Investigate: Shapes on a Plane 65

Big Idea 3: Thinking in Equal Groups 75

Visualize: Sharing Crackers 78

Play: Dozens of Dice 85

Investigate: Playing with Pairs 91

Big Idea 4: Tiling to Understand Area 99

Visualize: Cover Up 101

Play: A Whole New Alphabet 111

Investigate: Sharing an Area 119

Big Idea 5: Seeing Multiplication as Area 125

Visualize: Rods Around 127

Play: Squares and Near-Squares 132

Investigate: Connecting Area and Perimeter 142

Big Idea 6: Understanding 1 2 149

Visualize: I Spy 1 2 151

Play: Spotting 1 2 160

Investigate: The Many Shapes of 1 2 171

Big Idea 7: Seeing Fractions: The Parts and the Wholes 183

Visualize: Seeing Parts and Wholes 185

Play: Cover, Cut, and Sort 191

Investigate: Taking a Fractional Walk 202

Big Idea 8: Being Flexible with Numbers 209

Visualize: How Many Do You See? 211

Play: How Close to 100? 217

Investigate: Tile and Table Patterns 222

Appendix 231

Grid Paper 232

Grid Paper 233

1 Grid Paper 234

Dot Paper 235

Centimeter Dot Paper 236

Isometric Dot Paper 237

Hundred Grids 238

About the Authors 239

Acknowledgments 241

Index 243

Informationen zu E-Books

„E-Book“ steht für digitales Buch. Um diese Art von Büchern lesen zu können wird entweder eine spezielle Software für Computer, Tablets und Smartphones oder ein E-Book Reader benötigt. Da viele verschiedene Formate (Dateien) für E-Books existieren, gilt es dabei, einiges zu beachten.
Von uns werden digitale Bücher in drei Formaten ausgeliefert. Die Formate sind EPUB mit DRM (Digital Rights Management), EPUB ohne DRM und PDF. Bei den Formaten PDF und EPUB ohne DRM müssen Sie lediglich prüfen, ob Ihr E-Book Reader kompatibel ist. Wenn ein Format mit DRM genutzt wird, besteht zusätzlich die Notwendigkeit, dass Sie einen kostenlosen Adobe® Digital Editions Account besitzen. Wenn Sie ein E-Book, das Adobe® Digital Editions benötigt herunterladen, erhalten Sie eine ASCM-Datei, die zu Digital Editions hinzugefügt und mit Ihrem Account verknüpft werden muss. Einige E-Book Reader (zum Beispiel PocketBook Touch) unterstützen auch das direkte Eingeben der Login-Daten des Adobe Accounts – somit können diese ASCM-Dateien direkt auf das betreffende Gerät kopiert werden.
Da E-Books nur für eine begrenzte Zeit – in der Regel 6 Monate – herunterladbar sind, sollten Sie stets eine Sicherheitskopie auf einem Dauerspeicher (Festplatte, USB-Stick oder CD) vorsehen. Auch ist die Menge der Downloads auf maximal 5 begrenzt.