Sunday, October 24, 2010

Who Wants to Be a Mathematician Overview

10 new things I've learned about mathematics
1.A squared + B squaredC squared
    -This formula is only true on a plain , not at North Pole.
2.There are an infinitive number of fractions between 0 and 1 
3.A cubed + B cubed = C cubed does not exist.
4. Carl Gauss was a famous mathematician who was said to amaze his teacher by summing all integers from 1 to 100. 
5.The Pythagorean Theorem was most likely not discovered by Pythagoras but by an Asian mathematician 500 years earlier.  
6. x to the power of 4 + y to the power of 4 + z to the power of 4 + t to the power of 4 = t to the power of 4 has been discovered ( person who discovered was awarded )
7.There is a nonstop number of Pythagorean  triplets.
8. Math is all about making mistakes.
9. Questions aren't as complicated as you perceive them to be.
10."Alpha" usually represents an angle.


What I learned from "The Talk"
I learned most of the points stated above and that I'd rather be a mathematician then a millionaire. By being a mathematician you can earn the prizes (there are 7 of them in total) that the America Mathematics institute provides.  By solving each one of these equations you earn a million dollars in reward so you can end up being a billionaire instead of a millionaire. You're as well guaranteed a job in what your good at most.


How did "The Workshop" help me in future math learning?
This workshop was hosted by university students. It was interesting to see how they would explain questions and solve them knowing that in a couple of years, you could be one of them. I learned to not round Pi because when doing that, you don't end up with an exact answer. In a funny way, math can be fun when your understand all the steps your taking and why. Even though at times it's frustrating , your always satisfied with that sense of completion at the end of each question. 







Friday, October 15, 2010

Problem set #3

Question 14:
Carly takes 3 steps to walk the same distance as Jim walks in 4 steps. Each of Carly's steps covers 0.5 meters. How many meters does Jim travel in 24 steps?

Answer:
Carly's steps cover 0.5 meters and when she walks 3 steps that equals the distance Jim covers in 3 of his own steps.
So 0.5 meters x 3 of Carly's steps = 1.5 meters.
1.5 meters = 4 of Jim's steps.
Now you divide 24 steps by 4 steps =  6 steps
Now this equals 6 steps mulitplied by 1.5 meters giving you the answer of 9 meters.
John walks travels 9 meters in 24 steps.

Why do I like this question?
I like this question because the first time I did this I thought it was extremly easy but ended up with the wrong answer. It gave me determination. 

What have I learned about problem solving?
I've learned that I need to double check my answers and make sure my calculations are correct. When I first did this I read it as :
"Carly takes 4 steps to walk the same distance as Jim walks in 3 steps. Each of Carly's steps covers 0.5 meters. How many meters does Jim travel in 24 steps?"
 I messed up the integers in the process making my reckoning wrong. I had to do everything over again to get the correct answer. This wouldn't have occurred if I hadn't rushed through it and double checked. No matter how easy an equation looks you shouldn't skip steps because with one little mistake, it messes up your whole calculation.