The Second Cube Connector: Pointing Out the Arrows

The Cube Connectors series, which began with this post, continues with a glimpse into the classroom of Hannah Yazzolino.  The resource which I shared on Twitter, and which Hannah used very effectively in her classroom – even before it was in an animated form – is now downloadable in both an animated form and as…

Read More

Introducing Cube Connectors

Cube Connectors is a strategy that I’ve created – and would like to share with you.  This combination of images and descriptions will have your students seeking connections in ways you may never have anticipated! In addition, I plan to create an ongoing bank of resources so that you can turn the cube connectors strategy into…

Read More

The Power of Color

Color. It’s the natural extension to the series that begin with Provide Massive Space to Notice. So, after 180 Opportunities to Notice and How to Create 9 Identical Dot Patterns in 10 Seconds or Less, I’m adding 2 new templates.  This time, the circles are blank, so students can use color to record their observations.…

Read More

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 give you 10 pages of dot patterns which you can download and use with your students.  The purpose is to promote a wide variety of…

Read More

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 noticing.  At the end of the video, you’ll find a page which you can download and use with your students.  I encourage you to show…

Read More

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 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…

Read More

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 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……

Read More

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 below and pause at key moments, or download the PowerPoint file here.     Feel free to leave comments, subscribe, or simply explore the rest…

Read More

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 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…

Read More

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 very similar.  Or are they very different?   Not Your Average Blog Post Series NYABS Part 1:  Leveling Off NYABS Part 2:  Passing Out NYABS…

Read More

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.  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…

Read More