## O’Beirne’s Cube

This post is a bit of an experiment. First of all, I want to tell you about and show you a put-together-puzzle called O’Beirne’s cube. This is not just any puzzle. It is one of the most amazing, delightful, and elegant puzzles ever invented. There are people who know about things like this who rank… Continue Reading

## Alternate Arrangements

Six drinking glasses are arranged in a row. The first three are filled with water; the next three are empty. Is it possible to get the full and empty glasses to alternate by moving only one glass? This classic brain teaser has been making the rounds in recreational mathematics circles for years and is the… Continue Reading

## How to Equip Your Students to Better Understand Multiplication, Part Two

Using arrays has become much more prominent in the classroom. At first glance arrays seem very straightforward and simple for students. But what are the connections that are essential for students to build understanding of the concept of multiplication through arrays? Arrays are a model of multiplication. Just because your students can build an array… Continue Reading

## Lettering Logic

This week’s Puzzle Corner activity challenges students to find the “logic” or rule behind a pricing scheme for wooden letters when given a number of examples. In order to do this, students need to look carefully at the letters and the related costs and try to uncover the pricing logic used and then apply it to a new name and their… Continue Reading

## Friday Institute: A Common Core Resource

I want to share with you two very helpful, quite extensive Common Core Math resources that are available from the Friday Institute for Educational Innovation at North Carolina State University. The first resource is an interactive map of all of the Common Core Content Standards organized into 18 learning trajectories or progressions http://www.turnonccmath.net/index.php?p=map. For example,… Continue Reading

## How to Equip Your Students to Better Understand Multiplication, Part One

As I have coached and taught in the classroom, the three most popular ways to describe multiplication is showing ______ groups of ______, using repeated addition and making arrays. Now all of these methods have their place in a student’s understanding of multiplication, but if these methods are all they know, their understanding is limited.… Continue Reading

## The Age Game

This puzzle features a series of computations involving, among other factors, the student’s own age and birth month. After the computations are completed, students are asked to find a pattern in their answers. This is best done in groups and is not difficult if no computational errors have been made. After students have discovered the… Continue Reading

## Making Word Problems More Engaging, Part Three

This is my last post in the series; Making Word Problems More Engaging. Creating analogies for students to understand addition and subtraction is important. Whether you use Trevon, Bobby, Jada, and Maya, or come up with your own characters is not important. What is important is giving students a complete conceptual understanding of addition and subtraction.… Continue Reading

## Hand-To-Hand Switcheroo

The Puzzle Corner activity this week is a magic trick that requires no slight of hand, just a little dexterity of hand—and an application of topological principles. In the trick, two small cylindrical objects are switched back and forth between hands without dropping them. This is not as easy as it might seem since the… Continue Reading

## Do Comics Have a Place in Your Classroom?

One feature of the AIMS Essential Math Units, a series that is targeted for middle school, is the inclusion of comics as a way to show students engaged with some of the activities in a unit. Our hope for the comics was that they would help to make explicit the content knowledge that is the… Continue Reading