## Do We Really Understand What Math Is?

What would you or your students say math is? Some common answers could be numbers, addition, subtraction . . . Below are the posters a group of AIMS trainers created answering that question. Most people don’t understand what math really is. If you have read some of my previous posts, you know my elementary and… Continue Reading

## The Envelope Enigma

This weeks’s activity comes from the field of recreational mathematics. While the puzzle may not seem very mathematical (other than using mathematical language like points and line segments), it is actually related to the mathematical fields of network theory and topology. In this puzzle, students are asked to connect six points (labeled A-E) with line… Continue Reading

## Further Explorations with O’Beirne’s Cube

This post is a quick follow-up to the one from last Monday in which I showed you the O’Beirne cube puzzle. After we finished filming for that post, we still had the six puzzles on the table and we got to talking about the sequence in which the puzzle comes apart and goes back together… Continue Reading

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

I never liked word problems as a student. It was difficult for me to figure out which procedure to use, but I really didn’t like problems like this: Robert is three times as old as his younger brother Mark. Mark is 7 years old. How old is Robert? As I reflect on my experience, I… Continue Reading

## The Five-Piece Puzzle

This week’s Puzzle Corner activity in one member of a family of challenging, multiple-solution, dissection puzzles. These puzzles are geometric in nature and many, like the one presented here, are modeled after tangrams, the best-known of the dissection puzzles. Like tangrams, students can put the five pieces of this puzzle together into a number of… Continue Reading

## 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