MATH FROM A TOK PERSPECTIVE! By: Adriana Arguello
What is MATH? ? : 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!!” /
QUOTES ON MATH / “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 / “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 use of math? Take a second and imagine school without math? / /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! / “ NOT SIMPLIFYING IS HAS BAD HAS HAVING DIAHREA IN A SPACE SUIT!” ~Mr. Mc. Dowel / Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter? A: Pumpkin Pi! / Q: What does the zero say to 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/distokmat h/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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