## Archive for February, 2011

### On talking terms?

Monday, February 28th, 2011

What is the relationship between a, b, and c?

Problem source (and image): nrich.

### Quote

Monday, February 28th, 2011

If you change the way you look at things, the things you look at change! – Wayne Dyer

### Reflections

Sunday, February 27th, 2011

It stresses how students ought to work in the classroom, not what they ought to learn. In most syllabuses it is, unfortunately, the other way around.

### Did you thnik of this?

Saturday, February 26th, 2011

Here is an alternative explanation for why you never win in lotteries.

### Playful thinking

Saturday, February 26th, 2011

Think outside the flock here.

### Are you Olympic material?

Friday, February 25th, 2011

Suppose we have a collection of line segments lying in the unit square [0; 1][0; 1]. The total length of the segments is 18. Show that some line intersects 10 of them.

Problem source: The 2009 Canada/USA Mathcamp qualifying test

Via: Emissary Spring 2010.

### Quote

Friday, February 25th, 2011

People may forget what you saybut they will never forget how you made them feel. – Maya Angelou

### Sliding anyone?

Thursday, February 24th, 2011

- Three identical books, each of weight W, are to be stacked on top of another against a vertical wall.
- What for?
- The lowermost book is in contact with the wall, and the other two books are positioned as shown in the drawing.
- Did you make the drawing?
- The middle book is pushed into position by the application of a horizontal force of magnitude P.
- How exciting!
- When will sliding take place between the upper and middle books?
- On a Tuesday?
- The coefficient of friction between any two books is mu.
- I did not know that. I should read more!

### Quote

Thursday, February 24th, 2011

I’d rather be a failure at something I love than a success at something I hate.  - George F. Burns

### Good grief!

Wednesday, February 23rd, 2011

Was it Charlie Brown who said you can only take 4 away from 2 if you are stupid? Probably not, but it leads into today’s problem.

Here are a few equations that all have a solution if you open your eyes wide enough.

1. x + 4 = 2
2. x = x + 1
3. sin(x) = 2