In case any of you don’t already follow Dan Meyer, I highly recommend his math teacher blog – best around:

In line with his theories about trying to create video or picture prompts to stimulate natural questions that require math to really answer, I have a couple ideas. The problem is I’m not really good at video editing and suspect I might not get around to actually making them.

So this post is a request for anyone interested in seeing if they can/want to produce one or two short videos.

  1. This one is of two people running around a track. I think it should be a standard 400 meter running track so that distances are known, though the 100 meter marks should maybe be added to the videos. Two runners/joggers start facing each other a short distance from each other. When they pass each other they smack hands and at that moment a timer starts on the screen. The video is stopped after a short time (before they meet on the other half). The question you are hoping for is where will they pass each other again? The timing information and known distances on the track should provide enough information for estimates. The rest of the video is then shown afterwards to show the answer.
  2. In this one you need a full class of students to help out. The students are standing in a line outside a room, each is holding a big bag of presents. One student is in the room. The first student in line walks in and shakes hands with the student there, and they give each other a present from their bags. They put their presents on a big table maybe (or maybe just keep them in a pile at their feet). The next student comes in and does the same (shakes hands and exchanges gifts) with EVERY student already in the room. The video would show the first two or three students doing this, then pan down the line of students. The exact number in line should be a bit unclear. The questions to answer here are how many presents total (which is why they should maybe be on a big table) and how many handshakes total (for those who don’t know, this is showing an easy connection between these ideas and which later is used to easily motivate the Gauss formula for adding up sequences of integers easily).

Any takers?