12 of 200 Items .... Course: ALL

. . . View This Fullsize

Read this post on lost learning time.



Here's his basic point:

... roughly 10 of 60 minutes are not spent learning.
In one day, roughly 50 minutes.
In a 5 day week, 250 minutes.
In a typical school year, 8,700 minutes not utilized for learning.

Now, let's be realistic and cut that number in half because we all know there are assemblies and other events that cut into learning time throughout the school year. That leaves us with 4,350 minutes of time not spent learning.

1. Do you agree with his analysis?


2. How about his calculations?


3. What should be done?

. . . View This Fullsize

If the proportion of blonds among blue-eyed people is greater than among the population as a whole, is it also true that the proportion of blue-eyed people among blonds is greater than among the population as a whole?

. . . View This Fullsize

On a number line, how many positive integers are closer to 50 than to 100?

. . . View This Fullsize

We all recognize the Fibonacci Sequence:  1, 1, 2, 3, 5, 8, 13, 21, ...
What is the units digit of the sixty-first Fibonacci number?

Is there a pattern?

. . . View This Fullsize

How did he pull this off?




Can you sketch this scene from the side?

. . . View This Fullsize

Here's the original Cafe Wall, after which the Cafe Wall Illusion was named.






What went wrong with this wall? What does every single bricklayer and tile-setter know as Rule #1, to avoid the Cafe Wall Illusion?

. . . View This Fullsize

How did this artist lay out the guidelines on this flat, concrete floor for this seemingly 3D artwork?

. . . View This Fullsize

What is the best way to show that the horizontal lines are, in fact, horizontal and parallel?




Why does your brain insist that they are not?

. . . View This Fullsize

What are the values of the letters that will allow you to go as far as possible?

How high can you go?

Is there a better way to solve this than just marching up the line, and guessing at the values for H, R, then for F, U, then for I, V and so on?

The original is below. Is this the best set of values?

. . . View This Fullsize

For how many integers k is \(10,000 - k^2\) positive?

. . . View This Fullsize

Mathematical Grammar ... I think a comma might be necessary in #2, maybe two of them. What do you think, students?

. . . View This Fullsize

What is the more critical mistake, the more damaging to civilization as we know it?