Powerful instructional practices are occurring all around us.  Sometimes those practices are in classrooms only a few feet away from us.  So very close.  There may be teachers just a few moments down the hallway who are using highly effective strategies that could quickly empower our own instruction and positively impact our students.  We know…

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Algorithms typically route us completely around opportunities for deeper thinking.  However, in this post, we see that using icons to represent a variety of strategies produces an opportunity to richly compare and contrast strategies, including an algorithm, to see what we can learn.  This post features 10 questions that can be used in this scenario…

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KenKen puzzles caught my attention recently while I was browsing through Marilyn Burns’ blog post.  Right away I was able to detect the power of these clever puzzles and their potential for developing number sense.  I was pleasantly surprised to find an entire site devoted to KenKen puzzles.  So, I set out to take a tour……

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I wrote these 16 images of common misconceptions before the September 17, 2015 #elemmathchat about “Mathematical Misconceptions.”  If you would like to use them in class, either play the silent video below and pause at key moments, or download the PowerPoint file here.     Feel free to leave comments, subscribe, or simply explore the rest…

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It’s possible you’ll feel that Number Trading is more like Leveling Off or that it is more like Passing Out.  Take a look at the Number Trading strategy.  You’ll understand a new way to find the mean, and then you’ll begin to wonder how these strategies are (and are not) related to one another. This…

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When you begin watching the video you may agree that this is not your average blog series.  Or maybe, it is.  In this clip, pay particular attention to the challenge.  Find out if you are able to nearly instantly level off. NYABS Part 1:  Leveling Off NYABS Part 2:  Passing Out NYABS Part 3:  Number…

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Even though some students and teachers will chase multiplication facts, such as 5 x 9 = 45, in pursuit of memorizing the products, there is so much more waiting to be learned…     Thank you for visiting my blog!  You may also be interested in Experiencing Subitizing, which launched the Subitizing Series.  The Animated…

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I put this together very, very quickly in response to a discussion that included questions about lattice multiplication.  You’ll see me dabbling with three models in order to find the connections among all of them.     You may also be interested in Experiencing Subitizing, The Animated Multiplication Table, or Exploring Multiplication.      

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In this 4th post in the Subitizing Series I’ll use 4 simple dots to illustrate what happens when we provide students with space to notice.  There is also an image at the end that is one of my favorite patterns to use with students.  I hope you will use it in your classroom!  Enjoy! THE…

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You are moments away from creating your own quick images.  Watch the video, download the three free resources, and use your new images to promote rich mathematical discourse in your classroom. 1.  Experiencing Subitizing 2.  The Boundary of Subitizing, “The Rewind Version” 3.  How to Make Quick Subitizing Images + 3 Free Resources 4.  Beyond…

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Before I proceed with this series on subitizing, I must raise these questions:  Is there a subitizing boundary?  Is there a number of objects which are simply too many to subitize?  If so, what might that number be?   1.  Experiencing Subitizing 2.  The Boundary of Subitizing, “The Rewind Version” 3.  How to Make Quick…

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