# Fake-World Math, Real-World Engagement

Dan Meyer is currently leading a very engaging #MTBoS discussion regarding “Real World Math
” and it’s effects on student engagement with respect to completing (with quality) mathematical tasks. In general, “real world” is a term describing a task that attempts to emulate a task that might actually happen to someone in a non-school setting. The prevailing thought in many circles is that as a mathematical task becomes more “real world” it will become more engaging to students.

Many of us have plenty of anecdotal evidence to challenge that generalization.

Enter the “fake world” math tasks.

“Fake World” is a term used by Meyer to describe mathematical tasks that are engaging to students and encourage/require authentic mathematical problem-solving, but doesn’t attempt to emulate any actual action or task that one might use in a non-school setting. The Magic Octagon is an excellent example of a “fake-world” task. This is not a task that would EVER be asked of you in your family, work, or spiritual lives outside of school, but it is worth 20 good minutes of almost 100% engagement in a geometry classroom. These types of experiences cast doubt on the presupposed direct relationship between “real world” and student engagement.

As part of this, Mr. Meyer is attempting to do a bit of data collection to get a sense of what fake-world math activities we find engaging in our free time.

For me, it’s Flow Free on my iPad. I’ve seen this wonderful little logic game draw in 31-year-olds (my wife and I), high school kids (in my classes), and my 4-year-old daughter can get lost on it for an hour straight if I’d let her.

The task of a game is fairly simple. There are exactly two dots of each color on a grid. The goal is to connect each dot to its corresponding dot with a path that doesn’t intersect any other path. Also, each square on the grid needs to have a path going through it. No empty boxes.

So one solution to the above board would look like this:

At this point, you can either try again to complete the same puzzle in fewer moves or move on to the next puzzle. As you might expect, the puzzles get progressively more difficult with additional colors added and the grids increasing from 5 X 5 to 6 x 6 and 7 x 7.