Maths is Everywhere even on YouTube

Congrats on your Fun Run on Halloween! So well done!

An idea for those of you using the Sciences as an AOK in your TOK essay. Check out this series of podcasts: http://www.cbc.ca/radio/ideas/science-under-siege-part-2-1.3101083

1) Missing Block Puzzle! What’s the answer? How did you figure it out? How did you know?

2) Do numbers exist? with Dr Jonathan Tallant

Dr Jonathan Tallant discusses three different approaches to the tricky questions of whether numbers exist – Platonism, Nominalism, and Fictionalism. His talk shows us that mathematics is not a simple matter of objective knowledge that is always the same regardless of one’s perspective. Instead, its very nature – the existence (or not) of numbers – is disputed by several fundamentally different schools of thought

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3) DISCUSSION –  Imagine a world without Math. How does the course of human history change? Why do we need math? What do we need math to do?

Who loves Maths? Why? Is Math beautiful? Is Math a language that crosses all cultures?

4) Powerpoint: https://drive.google.com/file/d/0B2_H3hKK6a0zXzJXd3VFV0JrTTA/view?usp=sharing

5) Documentary and Questions about Occam’s Razor (https://www.youtube.com/watch?v=skcCu4RUkAg)

  1. Why is E=MC2 so significant? How is it an example of Occam’s Razor?
  2. What did Newton’s F = Gm1m2/r2 predict? Why was this formula shocking in its day?
  3. How did Einstein’s Theory of Relativity change the understanding of the world? How boring would Sci-Fi movies be without it?
  4. What was Paul Dirac obsessed with? How has modern physics supported his theory? 

Other documentaries: http://topdocumentaryfilms.com/story-of-one/

Answers for power point:

First round – 512 games

Second round – 256 games

Third round – 128 games

Forth round – 64 games

Fifth round – 32 games

Sixth round – 16 games

Seventh round – 8 games

Eighth round – 4 games

Ninth round – 2 games

Tenth round – 1 game

But, there is only one winner so,

There is only 1 winner.

The number of games is equal to the number of losers = 1,023

In mathematics, Buffon’s needle problem is a question first posed in the 18th century by Georges-Louis Leclerc, Comte de Buffon:[1]

Suppose we have a floor made of parallel strips of wood, each the same width, and we drop a needle onto the floor. What is the probability that the needle will lie across a line between two strips?

Buffon’s needle was the earliest problem in geometric probability to be solved; it can be solved using integral geometry. The solution, in the case where the needle length is not greater than the width of the strips, can be used to design aMonte Carlo method for approximating the number π, although that was not the original motivation for de Buffon’s question.[2]

http://mathworld.wolfram.com/BuffonsNeedleProblem.html

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