Category Archives: Math

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.  They can also build layers of sketching right on top of the color in order… Read Article →

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 →

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 →

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…     Here are some other animated posts that may interest you: 5 × 9… Read Article →

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 of the blog by clicking here.      

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 is Not Your Average Blog Series (NYABS).     Not Your Average Blog Post Series… Read Article →

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 Part 3:  Number Trading NYABS Part 4:  Something Familiar NYABS Part 5:  Building the Icon… Read Article →

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 Trading NYABS Part 4:  Something Familiar NYABS Part 5:  Building the Icon Map NYABS Part… Read Article →