How to Create 9 Identical Dot Patterns in 10 Seconds or Less

Wow!  What a response to the last 2 posts!  In Provide Massive Space to Notice, I detailed how to use repeated dot patterns.  In 180 Opportunities to Notice, I simply provided 10 pages of dot patterns that can be downloaded.  In this post, I would like to give you 2 templates that will allow you to create your own dot patterns.  As the title states, you can truly create 9 identical… Read Article →

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:  These Dots Will Grow on You.  I encourage you to download the resources and to use them in class while providing your students with plenty of time to notice.  Enjoy!   THE SUBITIZING SERIES     (Click on any link… Read Article →

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 classroom. 1.  Experiencing Subitizing 2.  The Boundary of Subitizing, “The Rewind Version” 3.  How to Make Quick Subitizing Images + 3 Free Resources 4.  Beyond Subitizing 5.  These Dots Will Grow on You 6.  Seeing Multiple Perspectives Through Your Eyes… Read Article →

8 Animated Dots and 1 Powerful Question

Here are 8 dots and 2 questions.  One of the questions is very powerful.  I hope this short video will cause your perspective to shift multiple times and will allow you to see through the eyes of several of your students.     Here are some recent posts which may also be of interest: A simple activity to launch a powerful discussion:  What is in the Cup? A highly engaging… Read Article →


Welcome to Splat!  You are only moments away from a VERY POWERFUL, highly interactive number sense strategy that can be used at any grade level! This post includes 50 (fifty!) free, downloadable PowerPoint math lessons! Watch the video, download some (or all) of the lessons, and experience what happens when you unleash this resource in your classroom! I’ve been excited to click the Publish button on this post for several… Read Article →

Strategies for Using the Maze Hundreds Chart

After introducing the downloadable Maze Hundreds Chart yesterday, this post details some strategies for using the interactive chart in your classroom.  If you have not yet watched the first post, I encourage you to take a quick look at it before viewing these strategies. I have many more resources I am excited to share, so I encourage you to subscribe to the blog so that you will be notified as… Read Article →

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 a greyscale PDF. Here is the heart of this post:  The annotated arrows that fill… Read Article →

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 seeking perspectives, noticing , and recording observations in ways that can be very useful.  Simply watch… Read Article →

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 the video to your class, pause it at the strategic point I’ve indicated in the recording,… Read Article →

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 to promote deep thinking.  And it all begins with a very average algorithm. Other Posts… Read Article →