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El. knyga: Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K

4.67/5 (28 ratings by Goodreads)
  • Formatas: PDF+DRM
  • Serija: Mindset Mathematics
  • Išleidimo metai: 14-Aug-2020
  • Leidėjas: Jossey-Bass Inc.,U.S.
  • Kalba: eng
  • ISBN-13: 9781119358596
  • Formatas: PDF+DRM
  • Serija: Mindset Mathematics
  • Išleidimo metai: 14-Aug-2020
  • Leidėjas: Jossey-Bass Inc.,U.S.
  • Kalba: eng
  • ISBN-13: 9781119358596

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"Each grade level's materials will be structured as a single volume for teachers. Each volume will include a collection of mathematical tasks focused on the big mathematical ideas in the grade level that create space for students to engage in (1) visual mathematics, (2) play, and (3) investigation. For each big idea the text will unpack for teachers the big ideas and how to look for student thinking around these ideas to make instructional decisions. It will address the questions: What is the big idea and why is it important? How do students learn this big idea? What should I look for in student thinking and strategies? Further, each activity or task will be accompanied by ideas for how to launch and how to facilitate discussion after the activity. Activities in the three areas -- visual math, play, and investigation -- will be provided as reproducibles"--

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 kindergarten-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(20)
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(6)
A Note on the Structure of Kindergarten
15(2)
Note on Materials
17(1)
Manipulatives and Materials Used in This Book
17(4)
Big Idea 1 Understanding the Physical Quantity of Number
21(26)
Count a Collection
23(7)
How Many Do You See?
30(10)
Making a Counting Book
40(7)
Big Idea 2 Using Fingers as Numbers
47(30)
Feeling Fingers
49(15)
Show Me with Your Fingers
64(6)
Hand Mirrors
70(7)
Big Idea 3 Talking about and Making Shapes
77(26)
Talking about Shapes
79(14)
Make a Shape
93(4)
Building Blocks
97(6)
Big Idea 4 Seeing Numbers inside of Numbers
103(32)
Dot Talks
105(13)
Snap It!
118(5)
Which Is More?
123(12)
Big Idea 5 Putting Numbers Together
135(24)
Growing Bigger and Bigger
137(7)
Roll the Dice
144(7)
Foot Parade
151(8)
Big Idea 6 Describing and Sorting Objects
159(22)
Sorting Supplies
161(7)
Sorting Emojis
168(6)
Sorting Buttons
174(7)
Big Idea 7 Seeing and Making Patterns Everywhere
181(24)
A World of Patterns
184(11)
DIY Patterns
195(5)
Kinder Dance Party
200(5)
Big Idea 8 Stretching Counting toward 100
205(26)
Counting Larger Collections
207(6)
Making a Collection
213(6)
Hundred Chart Patterns
219(12)
Appendix 231(4)
About the Authors 235(2)
Acknowledgments 237(2)
Index 239
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 an assistant professor of learning sciences 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.