Category: Math
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180 Opportunities to Notice
In my previous post, Provide Massive Space to Notice, I described how to repeatedly use the same dot pattern to promote noticing. In this post, I would simply like to…
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Provide Massive Space to notice
Give students several copies of the same image – along with ample space to notice – and they will amaze you. In this post, you’ll be taken on a tour of…
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NYABS Part 4: An Average Algorithm Leads to Deep Thinking
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…
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Touring KenKen
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…
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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
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 2: Passing Out
While you’ll initially see the Passing Out strategy, ultimately you will find yourself looking at two strategy icons which will help you to compare and contrast two strategies that are…
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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
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
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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These Dots Will Grow On You
Nearing the end of the Subitizing Series, I wanted to take time to detail a single math question, while placing an emphasis on noticing. The result is the video below:…
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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…