So you’re moving into your new apartment, and you’re trying to bring your sofa. The problem is, the hallway turns and you have to fit your sofa around a corner. If it’s a small sofa, that might not be a problem, but a really big sofa is sure to get stuck. If you’re a mathematician, you ask yourself: What’s the largest sofa you could possibly fit around the corner? It doesn’t have to be a rectangular sofa either, it can be any shape.

 

This is the essence of the moving sofa problem. Here are the specifics: the whole problem is in two dimensions, the corner is a 90-degree angle, and the width of the corridor is 1. What is the largest two-dimensional area that can fit around the corner?

 

The largest area that can fit around a corner is called—I kid you not—the sofa constant. Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them. We also have some sofas that don’t work, so it has to be smaller than those. All together, we know the sofa constant has to be between 2.2195 and 2.8284.

Sourced through Scoop.it from: www.math.ucdavis.edu

Do you want to simplify your life? Download this free poster. It provides 24 ways to “Keep it Simple”

 

Learn more / En savoir plus / Mehr erfahren;

 

http://www.scoop.it/t/21st-century-learning-and-teaching/?tag=Frank+SONNENBERG

 

http://www.scoop.it/t/21st-century-learning-and-teaching/?tag=Rise+of+the+Professional+Educator

 

 

Sourced through Scoop.it from: www.franksonnenbergonline.com

There was once only one “agogy” and now there are many. Most educators are intimately familiar with pedagogy – the art and science of educating and teaching children. Some are also familiar with andragogy – the art and science of educating and teaching adults. Recently a few more agogies have surfaced so I thought it was high time to explore some of these new and emerging ideas. We’ll start with the already familiar just to warm up.

 

Learn more / En savoir plus / Mehr erfahren:

 

https://gustmees.wordpress.com/2015/05/13/andragogy-adult-teaching-how-to-teach-ict/

 

http://www.scoop.it/t/21st-century-learning-and-teaching/?tag=andragogy

 

Sourced through Scoop.it from: jamiebillingham.com