## The Art and Craft of Problem Solving

Instructor: Dennis DeTurck

WWW tip: Click on the "Reload" button to make sure you are seeing the most up to date version of this (or any) page!

### Announcements:

• Welcome Fellows!
• There is writing help available to you, sponsored by Penn's Center for Programs in Contemporary Writing. Here's how to get it.
• Here are the Guidelines for writing Mathematical Problem-Solving Units.
• Here is the sample document from Meagan, complete with the proper formatting for your prospectus and your Unit. If you click on the link, your computer will (probably) give you the opportunity to open or save the document, and then you can rename and edit it.

• Steve Strogatz's Feb 22 article on division in the New York Times. There are links to his three earlier articles on that page.

• The four-number process calculator

• Don't forget: Prospctuses are due on Tuesday, March 2 !

• Guess and Check problems for February 2: #1, #2, #3, #4, #5.
• Look for a Pattern problems for February 16: #1, #2, #3, #4, #5.
• Draw a Picture problems for February 16: #1, #2, #3, #4, #5.
• Make a List problems for February 23: #1, #2, #3, #4, #5.
• Try a Simpler Version problems for February 23: #1, #2, #3, #4, #5.
• Guess and Check problems for March 2: #6, #7, #8, #9.
• Look for a Pattern problems for March 2: #6, #7, #8, #9, #10.
• Draw a picture problems for March 9: #6, #7, #8, #9, #10.
• Make a List problems for March 9: #7, #8, #9, #10.
• Homework for March 9: The Chicken Nugget Problem.
• Try a Simpler Version problems for March 23: #5, #6, #7, #8, #9.
• Guess and Check problems for March 23: #11, #12, #13, #14, #15.

• Tamar pointed out the following interesting article in the New York Times about teachers and teaching (particularly math).

• Extreme Nim (This only works in Firefox and Internet Explorer, but not in Netscape). Do your best to figure out (and write up!) a strategy for playing and winning Extreme Nim for Tuesday March 23.
• There is writing help available to you, sponsored by Penn's Center for Programs in Contemporary Writing. Here's how to get it.
• Balance the weights -- this only works in Internet Explorer!
• Prep for May 3 (don't forget -- as we discussed in class, we're meeting on Monday May 3, and in the Quad rather than Cohen Hall): Figure out the Balance the weights game in the link immediately above this; also heck out the new core curriculum standards being considered by many states (including PA). Look especially at the math standards for your grade.
• Our last meeting will be on Tuesday May 18 in 104 Cohen Hall (the usual spot) at 4:30. We'll continue to discuss the core standards, our projects, and the following problem:

Place n dots at random on the circumference of a circle. Then draw all the lines connecting pairs of the dots. (If three of your lines meet at a point, then your dots were not sufficiently "random"). For instance, if you do 4 dots, you get 6 lines as shown below. The lines divide the circle into pieces. How many pieces?

Here's the link to the inspring math ed video (Dan Meyer) we watched today.