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Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 4 [Pehme köide]

  • Formaat: Paperback / softback, 288 pages, kõrgus x laius x paksus: 272x211x18 mm, kaal: 771 g
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 27-Aug-2019
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • ISBN-10: 1119358809
  • ISBN-13: 9781119358800
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  • Hind: 26,48 €*
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  • Formaat: Paperback / softback, 288 pages, kõrgus x laius x paksus: 272x211x18 mm, kaal: 771 g
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 27-Aug-2019
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • ISBN-10: 1119358809
  • ISBN-13: 9781119358800
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 fourth-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(16)
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
9(8)
Activities for Building Norms
17(6)
Encouraging Good Group Work
17(2)
Paper Folding: Learning to Reason, Convince, and Be Skeptical
19(2)
Paper Folding: Learning to Reason, Convince, and Be a Skeptic
21(2)
Big Idea 1 Seeing Patterns inside Numbers
23(26)
Visualize: Visualizing Numbers
26(7)
Play: What Could It Be?
33(8)
Investigate: How Flexible Is a Number?
41(8)
Big Idea 2 Building and Designing with Shapes and Angles
49(22)
Visualize: Tile It!
51(5)
Play: Those Crazy Rep-Tiles
56(7)
Investigate: Polyiamonds
63(8)
Big Idea 3 Making and Naming Number Patterns
71(26)
Visualize: Finding Fibonacci
74(9)
Play: Pattern Carnival
83(5)
Investigate: All Hail!
88(9)
Big Idea 4 Units Are a Relationship
97(18)
Visualize: It's All in the Axes
99(5)
Play: Measure Up
104(6)
Investigate: 10,000 Steps
110(5)
Big Idea 5 Modeling with Unit Fractions
115(28)
Visualize: Perplexing Measures
118(6)
Play: Tangram Designs
124(8)
Investigate: Pixeled Fractions
132(11)
Big Idea 6 Exploring Fraction Equivalence
143(34)
Visualize: Painting Pieces
145(12)
Play: Color-Coding Fractions
157(10)
Investigate: Tiling Rectangles
167(10)
Big Idea 7 Illustrating Multiplication and Division
177(26)
Visualize: Visual Proof
179(8)
Play: Cover the Field
187(8)
Investigate: Turning It Inside Out: What's the Missing Side?
195(8)
Big Idea 8 Using Operations Flexibly
203(22)
Visualize: How Crowded Is the Crowd?
205(8)
Play: Target 20
213(6)
Investigate: Supply Parade
219(6)
Big Idea 9 What Is a Decimal?
225(20)
Visualize: Finding the Better Deal
227(7)
Play: Decimals on a Line
234(6)
Investigate: Can You Make It?
240(5)
Appendix
245(8)
Centimeter Dot Paper
246(1)
Isometric Dot Paper
247(1)
Grid Paper
248(1)
1/4" Dot Paper
249(1)
1/4" Grid Paper
250(1)
Hundred Grids
251(2)
About the Authors 253(2)
Acknowledgments 255(2)
Index 257
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 doctoral candidate at Stanford University, a professional developer, and a former classroom teacher. She works with teachers and school leaders across the U.S. to develop 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.