A Recursive Process

Three Slips of Paper – Car Talk Puzzler

February 20, 2011, 12:00 am

Excellent probability (ish) puzzler from Car Talk:

Three Slips of Paper
RAY: This is from Norm Leyden from Franktown, Colorado. The date on it is 1974–I’m a little behind.

Three different numbers are chosen at random, and one is written on each of three slips of paper. The slips are then...

Continue Reading...

“Skinny” Diet Pepsi Can WCYDWT

February 10, 2011, 12:00 am

Diet Pepsi will soon be available in a “taller, sassier new Skinny Can” that the company says is a “celebration of beautiful, confident women.”

(Article linked by @21stcenturychem and found here.)

I’ll table the discussion on whether or not this can is “sassier”, but if the can is 6 inch...

Continue Reading...

A Converse Tale

February 4, 2011, 12:00 am

For the past 6 years I’ve been explaining converse (of the inverse, converse, and contrapositive fame) by saying that you can switch your Converse® shoes from left to right (although potentially uncomfortable), but you certainly cannot negate your Converse® shoes.

Today a volunteer stepped up...

Continue Reading...

Two Classic Puzzlers from Cartalk

January 21, 2011, 12:00 am

Puzzler 1:

Every two-digit number can be represented as AB, where B is the ones digit and A is the tens digit. Right? So for example the number 43, A is 4 and B is 3.

Imagine then that you took this two-digit number and you squared it, AB x AB, and when you did that the result was a three-digi...

Continue Reading...

The App Store – 10 Billion

January 14, 2011, 12:00 am

This great idea comes from Dan Meyer and mister2pi.

When will the App Store hit 10,000,000,000?

Continue Reading...

Developing Math Intuition

January 14, 2011, 12:00 am

Great post: http://math-blog.com/2011/01/13/developing-math-intuition/

Our initial exposure to an idea shapes our intuition. And our intuition impacts how much we enjoy a subject. What do I mean?
Suppose we want to define a “cat”:

  • Caveman definition: A furry animal with claws, teeth, a...

Continue Reading...

Today is brought to you by the number 73

January 13, 2011, 12:00 am

Here’s a great set of facts about the number 73 (a Chuck Norris Number, sidenote I might grow to like that show but I can’t stand the laugh track):

  • The mirror of 73, the 21st prime number, 37, is the 12th prime number. The number 21 has factors 7 and 3.
  • In binary, 73 is a palindrome – 10...

Continue Reading...

Two Great Puzzlers from Cartalk

January 10, 2011, 12:00 am

1.  Cats, Dogs and Mice – Oh My!

RAY: You’re given a hundred dollars and told to spend it all purchasing exactly a hundred animals at the pet store. Dogs cost $15. Cats cost a buck, and mice are 25 cents each.

TOM: Let me get this straight. You have to spend exactly a hundred bucks and yo...

Continue Reading...

SBG: One Small Success

January 8, 2011, 12:00 am

This is a quick post describing one small reason (of many) of why I like SBG.

The setup for the gradebook is as follows: each student gets 2 shots (in class) to quiz on each topic, the grade is out of 4.  They get one chance right after the end of the unit, and one a week later. If they improve fr...

Continue Reading...

Fun with Buckyball Magnets

January 6, 2011, 12:00 am

Christmas gift from lovely wife. Found here, or here. Just playing so far, got some of these formations from the thinkgeek video. Great fun!

update: 1/7/11 – 1 more 🙂 (buckyball-ish, pentagons surrounded by hexagons)

Continue Reading...