## A short history of mathematical pedagogy; what does the future hold?

1. Teaching Maths In 1950s

A logger sells a truckload of lumber for \$100. His cost of production is 4/5 of the price. What is his profit?

2. Teaching Maths In 1970s

A logger sells a truckload of lumber for \$100. His cost of production is 4/5 of the price, or \$80. What is his profit?

3. Teaching Maths In 1980s

A logger sells a truckload of lumber for \$100. His cost of production is \$80. Did he make a profit ? Yes or No

4. Teaching Maths In 1990s

A logger sells a truckload of lumber for \$100. His cost of production is \$80 and his profit is \$20. Your assignment: Underline the number 20.

5. Teaching Maths In 2000s

A logger cuts down a beautiful forest because he is selfish and inconsiderate and cares nothing for the habitat of animals or the preservation of our woodlands. He does this so he can make a profit of \$20. What do you think of this way of making a living?

Topic for class participation after answering the question: How did the birds and squirrels feel as the logger cut down their homes? (There are no wrong answers, feel free to express your feelings e.g, anger, anxiety, inadequacy, helplessness etc.)

Should you require debriefing at conclusion of exam there are counsellors available to assist you to adjust back into the real world.

## Palindromes Week – take COMP 454 in the Fall 2015 and learn everything!

A palindrome is a word or expression that reads the same forward as backward; a famous palindrome is “madam i m adam”, from James Joyce’s Ulysses. Another one is the word “racecar”. Yet another very famous one is in the title of NOVA’s “A Man, a Plan, a Canal – Panama!”. They are interested for computer scientists as they are strings with many properties (my book “An Introduction to the Analysis of Algorithms” has a section on algorithms for palindromes). But they are much more than games; nature uses them, and for example many DNA strands in our genetic code are palindromic.

In the Fall 2015 I will be teaching a course, COMP 454, that will be using palindromes as an example of many computational properties.