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Place Value from the Ground Up

This book is available for download with iBooks on your Mac or iOS device. Multi-touch books can be read with iBooks on your Mac or iOS device. Books with interactive features may work best on an iOS device. iBooks on your Mac requires OS X 10.9 or later.


This textbook attempts to immerse students in a microworld of blocks, groups of blocks, counting, and regrouping. There is very little direct instruction on place value. Instead, students learn by exploring, navigating, and solving problems within the microworld itself. They start by counting by ones and rapidly build their understanding until they are using paper-and-pencil algorithms for multi-digit arithmetic. This approach is similar to how a student might learn how to play a video game by trial-and-error or learn a second language by living abroad for a semester.


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Place Value from the Ground Up
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  • $2.99
  • Level: Grades 2-3
  • Available on iPad, iPhone and Mac.
  • Category: Mathematics
  • Published: Jun 13, 2012
  • Publisher: Vertical Learning Labs
  • Seller: David Ng
  • Print Length: 145 Pages
  • Language: English
  • Requirements: To view this book, you must have an iPad with iBooks 2 or later and iOS 5 or later, or an iPhone with iOS 8.4 or later, or a Mac with OS X 10.9 or later.

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