Category: Teaching and Learning

  • 16 Misconceptions

    16 Misconceptions

    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…

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  • NYABS Part 3:  Number Trading

    NYABS Part 3: Number Trading

    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…

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  • NYABS Part 1:  Leveling Off

    NYABS Part 1: Leveling Off

    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.…

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  • 5 × 9 Is More Than 45

    5 × 9 Is More Than 45

    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…

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  • The Lattice Discussion

    The Lattice Discussion

    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…

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  • Beyond Subitizing

    Beyond Subitizing

    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…

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  • How to Make Quick Subitizing Images + 3 Free Resources

    How to Make Quick Subitizing Images + 3 Free Resources

    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…

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  • The Boundary of Subitizing (The Rewind Version)

    The Boundary of Subitizing (The Rewind Version)

    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…

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  • Experiencing Subitizing

    Experiencing Subitizing

    Experiencing Subitizing is the first in a six-part series on subitizing.  The links to the other posts will become active this week.   1.  Experiencing Subitizing 2.  The Boundary of…

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  • Is This Claim Always True?

    Is This Claim Always True?

    I have a claim.  It may be true.  It may not be true.   My question:  Is my claim always true?   Watch the video and think about it carefully.…

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  • The Parking Meter Solution

    The Parking Meter Solution

    One week after posting The Parking Meter Question, here is the solution. If you have not yet watched the original video you will want to begin here. Also, the PDF…

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  • How is Math Like Peanut Butter?

    How is Math Like Peanut Butter?

    How is math like peanut butter?  How are prime numbers like glue? Here is an instructional strategy that you can quickly use to help students to think carefully about the…

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