A Math Teacher who Writes (or a Writer who DOES MATH). Charles Bukowski said: "I write because I don't know what I think until I read what I say" Seems like a perfectly fine rationale to me.
Monday, February 1, 2010
This is why time "flies" as we get older...
Take a five year old.
One year of that person's life = 20% of his/hers entire existence.
Pretty huge chunk.
Now, take a 50 year older.
That same year is only 2% of his/her entire life.
2 cents on the dollar!
Take the percentages, mix them up with the predictable nature of much of our existence, and the fact that time "flies" is a no-brainer.
One way to "slow it down" would be to either do ABSOLUTELY nothing, ever (watch the dot on the white wall).
Or, try to do new and interesting things as much as you can stand it.
Or, enjoy the moment, now it is a precious gift, and don't waste it on laments.
You choose. Really.
Sunday, January 31, 2010
Verdania: A Mathematical Odyssey: Chapter 10: Revealing
Thursday, January 28, 2010
Great math problem for upper elementary to high school
Imagine you are at a school that still has student lockers. There are 1000 lockers, all shut and unlocked, and 1000 students.
Here's the problem:
Suppose the first student goes along the row and opens every locker.
The second student then goes along and shuts every other locker beginning with number 2.
The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it.)
The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the thousand students have followed the pattern with the thousand lockers. At the end, which lockers will be open and which will be closed? Why?
(I used a deck of cards for each pair of students: face up was an open locker and face down was a closed locker. By the way, the answer is that only the square numbered lockers remain open because they are the only numbers with an odd number of factors)
Thursday, December 10, 2009
Problem Solving: The Locker Problem
Imagine you are at a school that still has student lockers. There are 1000 lockers, all shut and unlocked, and 1000 students.
Here's the problem:
Suppose the first student goes along the row and opens every locker.
The second student then goes along and shuts every other locker beginning with number 2.
The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it.)
The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the thousand students have followed the pattern with the thousand lockers. At the end, which lockers will be open and which will be closed? Why?
(I used a deck of cards for each pair of students: face up was an open locker and face down was a closed locker. By the way, the answer is that only the square numbered lockers remain open because they are the only numbers with an odd number of factors)
Thursday, August 6, 2009
Math Problem
If it is 6:00 A.M. on August 6, what will be the time and date 2 million sec. later?
Wednesday, August 5, 2009
Math Problem
As part of a rather odd driving challenge you are required to complete two laps of a racetrack at an overall average speed of 80mph.
Tuesday, June 23, 2009
Problem of the Week Presentation 2009
Monday, June 1, 2009
10 points Extra Credit
A motorcyclist was sent by the Post Office to meet a plane at the airport. The motorcyclist knew exactly how much time he needed to reach the airport when the plane arrived, so he waited until the last possible minute to leave for the airport. However, one day, the plane landed ahead of schedule, and its mail was taken toward the Post Office by horse. After half an hour, the horseman met the motorcyclist on the road and gave him the mail. The motorcyclist returned to the Post Office 20 minutes before he was expected. How many minutes early did the plane land?
Twitter me the answer: @pepepacha
Wednesday, May 27, 2009
10 points Extra Credit
I love the Planet of the Apes movies (the older ones), so here is a math problem inspired by them.
Twitter the answer to @pepepacha
Planet of the Apes
Three apes walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each ape pays 10 bananas towards the cost.
Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 apes.
The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each ape 1 banana, keeping the other 2 bananas for himself.
Ultimately each ape paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.
Where did the extra 1 banana go?