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E-raamat: Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 5

  • Formaat: EPUB+DRM
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 28-Feb-2018
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119358763
  • Formaat - EPUB+DRM
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  • Formaat: EPUB+DRM
  • Sari: Mindset Mathematics
  • Ilmumisaeg: 28-Feb-2018
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119358763

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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 fifth-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 mathematics 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(262)
Encouraging Good Group Work
17(4)
Paper Folding: Learning to Reason, Convince, and Be a Skeptic
21(2)
Big Idea 1 Thinking in Cubes
23(30)
Visualize: Solids, Inside and Out
25(8)
Play: City of Cubes
33(11)
Investigate: A Box of Boxes
44(9)
Big Idea 2 Estimating with Fractions
53(28)
Visualize: Making Snowflakes
55(6)
Play: Fraction Blizzard
61(6)
Investigate: Wondering with Fractions
67(14)
Big Idea 3 Using Fraction Equivalence
81(34)
Visualize: Picking Paintings Apart
83(11)
Play: Make a Fake
94(7)
Investigate: Squares with a Difference
101(14)
Big Idea 4 Exploring the Coordinate Plane
115(28)
Visualize: Getting around the Plane
118(6)
Play: Ship Shape
124(9)
Investigate: Table Patterns
133(10)
Big Idea 5 Seeing and Connecting Patterns across Representations
143(26)
Visualize: Two-Pattern Tango
145(8)
Play: Pattern Carnival
153(6)
Investigate: Seeing Growth on a Graph
159(10)
Big Idea 6 Understanding Fraction Multiplication Visually
169(30)
Visualize: Fractions in a Pan
172(8)
Play: Pieces and Parts
180(7)
Investigate: The Sum of the Parts
187(12)
Big Idea 7 What Does It Mean to Divide Fractions?
199(24)
Visualize: Creating Cards
201(8)
Play: Cuisenaire Trains
209(8)
Investigate: Fraction Division Conundrum
217(6)
Big Idea 8 Thinking in Powers of 10
223(24)
Visualize: The Unit You
225(8)
Play: Filling Small and Large
233(6)
Investigate: Museum of the Very Large and Small
239(8)
Big Idea 9 Using Numbers and Symbols Flexibly
247(32)
Visualize: Seeing Expressions
250(11)
Play: Inside Pascal's Triangle
261(7)
Investigate: The 1492 Problem
268(11)
Appendix
279(4)
Centimeter Dot Paper
280(1)
Isometric Dot Paper
281(2)
About the Authors 283(2)
Acknowledgments 285(2)
Index 287
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 United States 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.