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Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6 [Pehme köide]

  • Formaat: Paperback / softback, 272 pages, kõrgus x laius x paksus: 272x213x18 mm, kaal: 703 g
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 27-Aug-2019
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • ISBN-10: 1119358833
  • ISBN-13: 9781119358831
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  • Formaat: Paperback / softback, 272 pages, kõrgus x laius x paksus: 272x213x18 mm, kaal: 703 g
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 27-Aug-2019
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • ISBN-10: 1119358833
  • ISBN-13: 9781119358831
Teised raamatud teemal:

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 sixth-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.

Introduction
1(15)
Low-Floor, High-Ceiling Tasks
2(1)
Youcubed Summer Camp
3(1)
Memorization versus Conceptual Engagement
4(1)
Mathematical Thinking, Reasoning, and Convincing
5(4)
Big Ideas
9(1)
Structure of the Book
10(6)
Note on Materials
16(3)
Manipulatives and Materials Used in This Book
17(2)
Activities for Building Norms
19(5)
Encouraging Good Group Work
19(2)
Paper Folding: Learning to Reason, Convince, and Be Skeptical
21(3)
Big Idea 1 Taking Apart Prisms and Polygons
24(33)
Visualize: How Big Is the Footprint?
26(12)
Play: Shards of a Shape
38(8)
Investigate: Rising from the Footprint
46(11)
Big Idea 2 Folding and Unfolding Objects
57(35)
Visualize: Folding Cubes in Your Mind
60(10)
Play: Folding Nets in Your Mind
70(15)
Investigate: Filling Our Nets
85(7)
Big Idea 3 Expanding the Number Line
92(24)
Visualize: Folding around Zero
94(7)
Play: Bouncing around the Number Line
101(6)
Investigate: Going 2-D
107(9)
Big Idea 4 Finding and Using Unit Rates
116(26)
Visualize: Seeing Unit Rates
118(10)
Play: Seeing the Best Deal
128(8)
Investigate: How Fast Do You Walk?
136(6)
Big Idea 5 Reasoning with Proportions
142(22)
Visualize: Jump! Jump!
144(5)
Play: Seeing Animals in a New Way
149(7)
Investigate: A Seat at the Table
156(8)
Big Idea 6 Visualizing the Center and Spread of Data
164(28)
Visualize: The Shape of Data
167(11)
Play: What Does Mean Mean?
178(7)
Investigate: When Does Mean = Median = Mode = Range?
185(7)
Big Idea 7 Using Symbols to Describe the World
192(29)
Visualize: Cuisenaire Rod Equivalents
195(9)
Play: Math Mobiles
204(11)
Investigate: Radial Patterns
215(6)
Big Idea 8 Generalizing
221(25)
Visualize: Generalizing Number Patterns
223(7)
Play: Generalizing Strategy
230(9)
Investigate: Generalizing Visual Patterns
239(8)
Appendix 246(6)
Centimeter Grid Paper
247(1)
Grid Paper
248(1)
Grid Paper
249(1)
Isometric Dot Paper
250(1)
Dot Paper
251(1)
About the Authors 252(2)
Acknowledgments 254(1)
Index 255
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, including Mathematical 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.