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E-raamat: Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

  • Formaat: PDF+DRM
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 12-Jul-2018
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119358657
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  • Formaat: PDF+DRM
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 12-Jul-2018
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119358657

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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
10(7)
Activities for Building Norms
17(214)
Encouraging Good Group Work
17(4)
Paper Folding: Learning to Reason, Convince, and Be a Skeptic
21(2)
Big Idea 1 Solving Problems with Data
23(28)
Visualize: Tongues, Tails, and in Between
25(11)
Play: Inspector Graph-It
36(5)
Investigate: Data Tells Us about Ourselves
41(10)
Big Idea 2 Thinking around Shapes
51(24)
Visualize: Get Your Arms around It
53(6)
Play: 36-Unit Walk
59(6)
Investigate: Shapes on a Plane
65(10)
Big Idea 3 Thinking in Equal Groups
75(24)
Visualize: Sharing Crackers
78(7)
Play: Dozens of Dice
85(6)
Investigate: Playing with Pairs
91(8)
Big Idea 4 Tiling to Understand Area
99(26)
Visualize: Cover Up
101(10)
Play: A Whole New Alphabet
111(8)
Investigate: Sharing an Area
119(6)
Big Idea 5 Seeing Multiplication as Area
125(24)
Visualize: Rods Around
127(5)
Play: Squares and Near-Squares
132(10)
Investigate: Connecting Area and Perimeter
142(7)
Big Idea 6 Understanding 1/2
149(34)
Visualize: I Spy 1/2
151(9)
Play: Spotting 1/2
160(11)
Investigate: The Many Shapes of 1/2
171(12)
Big Idea 7 Seeing Fractions: The Parts and the Wholes
183(26)
Visualize: Seeing Parts and Wholes
185(6)
Play: Cover, Cut, and Sort
191(11)
Investigate: Taking a Fractional Walk
202(7)
Big Idea 8 Being Flexible with Numbers
209(22)
Visualize: How Many Do You See?
211(6)
Play: How Close to 100?
217(5)
Investigate: Tile and Table Patterns
222(9)
Appendix
231(8)
Grid Paper
232(1)
Grid Paper
233(1)
Grid Paper
234(1)
Dot Paper
235(1)
Centimeter Dot Paper
236(1)
Isometric Dot Paper
237(1)
Hundred Grids
238(1)
About the Authors 239(2)
Acknowledgments 241(2)
Index 243
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.