Transcript MATH - TOK-Bible

MATH
FROM A TOK
PERSPECTIVE!
By:Adriana Arguello
What is MATH?? :S :S
Personal: Math is the explination of our
world in numbers.
Scholarly:a science or group of related
sciences dealing with the logic of
quantity and shape and arrngment.
The science of rigid proof

GENERAL OPINIONS
Mafer: “everything that’s numbers”
Sandra “Math is HORRIBLE”
Miguel “ you use math in everything!!”
Loany(responding) “That’s why the
CALULATOR EXISTS!!”
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QUOTES ON MATH
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“The ENORMUS USEFULNESS OF MATHEMATICS IN THE
NATURAL SCIENCES IS SOMETHING BORDERING ON THE
MYSTERIOUS, AND THERE IS NO RATIONAL EXPLINATION FOR
IT” Eugene Wigner

Every thing that can be counted does not count. Everything
COUNTS CAN NOT BE COUNTED” Albert Einstein
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“INDSTEAD OF HAVING “ANSWERS “ ON A MATH TEST,THEY
SHOULD JUST CALL THEM “IMPRESSIONS”,SO WHAT, CAN’T WE
ALL BE BROTHERS” Jack Handy

“MATHEMATICS BEGAN WHEN IT WAS DISCOVERED THAT A
BRACE OF PHEASANTS AND A COUPLE OD DAYS HAVE
SOMETHING IN COMMON: THE NUMBER TWO “ Bertrand
Russell”
IMPORTANCE IN
EDUCATION

Q: What is the first derivative of a cow? A: Prime Rib!
What is the the use of math?
Take a second and imagine school without
math?

How
How
How
How
How
would the buildings be built?
would schedules/calendars be made?
would teachers grade?
could you buy your food at the cafeteria?
would ANYTHING you use from
pencils,paper,SHOES,lockers to celphones ,
ipods and even makeup or perfum?
Importance in education
Helps children develop logic and reasoning skills
 Children learn the skill of looking for a solution (may be
applied to all aspects of life)
 as students learn more math, the rationale is that their minds will
eventually develop into logical entity that can resolve any
difficult situations.
 Math will not only earn you a grade , YOU WILL NEED IT YOU
ENTIRE LIFE
 Importance for your future : “as students learn more math, the
rationale is that their minds will eventually develop into logical
entity that can resolve any difficult situations.”

History of math
Evidence of counting since 50,000 B.C
 May be divided to four periods:
 Primitive: simple equations (addition/subtraction
multiplication/division)
 Arabic:base numer 10 invented
 Greco-roman: geometry discovered (pythagorean
theorem)
 Renicancee: burst of knowledge. Ith of modern math

EUCLID-FORMAL
Model
of reasoning
Axioms
Deductive
theorems
Father
SYSTEM
reasoning
of geometry (pythagoream therem
)
PROBLEM!!:
“ONE STRAIGHT LINE THROUGH ANY GIVEN
POINT IS PARRALLEL TO A GIVEN LINE”
Parrallel line must be infinite
What happens at infinity?
NO ONE CAN PROVE THIS ENTIRLY TRUE
RIEMANNIN GEOMETRY BORN (SUM OF ANLGES IN
∆ IS + THAN 180)
PROBLEMS!!


Problem of consistency
 Formal System NOT proven FREE of contradictions
 No proven contradiction in formal system yet
Clear intructions may be impossible to fufill (not entierly
understandable)
 *story of the barber + the king
 mathematical
term "pie" whose true value is infinite which is
a concept we cannot comprehend

Imperfect has created by imperfect beings


Fermatﾕs ﾔLast Theoremﾕ remained unproved for 358 years, until 1995.
Incomplete (abstract opens door to error +contradiction)
JOKES FOR NERDS!
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“ NOT SIMPLIFYING IS HAS BAD HAS HAVING DIAHREA IN A
SPACE SUIT!” ~Mr.McDowel
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Q: What do you get if you divide the cirucmference of a jack-o-lantern
by its diameter? A: Pumpkin Pi!
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Q: What does the zero say to the the eight? A: Nice belt!

Q: Why couldn't the blonde write the number ELEVEN ?A: She
didn't know what ONE came first...
GAMES
Solve the following using the chart
on the board:

1+8
2*3-4+5
8/5
Game
show! (three doors)
http://sites.google.com/site/distokmath
/monty-hall-problem-1
BIBLIOGRAPHY
http://www.math.ualberta.ca/~runde/jokes.html
 lagemaat, Richard. theory of knowledge for the IB diploma.
cambridge: cambridge university press, 2005. Print.
 http://tok-bible.wikispaces.com/Mathematics
 http://ast-tok.wikispaces.com/Mathematics
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