Elana Epstein, Ed.D. St. Josephs College. o Using Movies and TV Shows to Motivate a Lesson o Using...
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Transcript of Elana Epstein, Ed.D. St. Josephs College. o Using Movies and TV Shows to Motivate a Lesson o Using...
Elana Epstein, Ed.D.St. Joseph’s College
o Using Movies and TV Shows to Motivate a Lesson
o Using Movies and TV Shows as the Lesson
o Using movies and TV Shows to Reinforce an Idea
o Ideas in Other Media
Example 1: The Da Vinci Code Cryptography and Fibonacci Numbers
Robert Langdon asked by French police to look at crime scene where curator of the Lourve died
There is a secret message written:13 – 3 – 2 – 21 – 1 – 1 – 8 – 5
O, Draconian devil!Oh, lame saint!
Recognize these numbers?
o Numbers are Fibonacci numbers out of order
13 – 3 – 2 – 21 – 1 – 1 – 8 – 5 1 – 1 – 2 – 3 – 5 – 8 – 13 – 21
o Rearrange wordsO, Draconian devil! Oh, lame saint!Leonardo Da Vinci the Mona Lisa
o Introduction to cryptography
o Introduction to the Fibonacci numbers
o Problem Solving
Example 2: Monk Probability
Two victims have the same first and last names
How likely is this coincidence?
Lead to discussion of the birthday problem:
How many people are required in order to have a better than even chance that two or more of them have the same birthday?
Or to The Monty Hall problem:
On a game show there are three doors
Behind one is a car, the others have goats
You pick a door and the host, who know what's behind the doors, opens another door which has a goat
Should you switch?
Example 3: Castaway Area of Circle
Chuck tries to figure out how many miles people would have to search to rescue him
Search Area
2400 160000
3.14
502400
o Have students figure out what formula he used to find the area and then go through the usual area problems
o Motivation to find out what pi is
Example 4: Futurama Number Theory
A number was needed for scene in FuturamaWriters chose 1729:
13+123 = 1+1728 93+103 = 729+1000
Weisstein, Eric W. “1729." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/1729.html
o Have students try to come up with these kind of numbers
o As extra credit have students watch episodes and look for these numbers
Example 5: Death and the CompassProblem Solving
Based on the short story by Jorge Luis Borges
Three murders occur in equilateral triangleInspector predicts fourth to form a rhombus
The police squad in Upstate New York is stumped, so you are called in as a math special agent. So far there have been two murders, and the killer left notes at each location implying there will be a third and final murder. Your job is to figure out where the crime will occur so the police can get to the scene and stop it from happening. This is a map of the first two crimes.
At the first crime the following clue was found:Unlike its salmonWhen I cross and climb Bear MountainMy bridges will be burnedFor I will not return.There will be three dead by the 3rd night.Say what you will, I am always RIGHT.And on the second night this clue was found:The north better be armedFor the third time won’t be a charm.My crime spree will be terminatedThirty degrees northwest of where I originated. Can you help the police figure out where the third crime will be?
Example 6: MatildaMental Math
o Matilda can add and multiply numbers in her head really fast
o Have students think about how she was able to do this
o Teach tricks such as:To find 1784 x 11 First do 1784 x 10 = 17840Then sum 17840 + 1784 = 19624
Example 1: Die Hard: With A Vengeance Problem Solving
Main characters go on a hunt to capture a criminal and have to solve riddles
As I was going to St Ives I met a man with seven wives
And every wife had seven sacks And every sack had seven cats And every cat had seven kits
Kits, cats, sacks, wives How many were going to St Ives?
Here’s another riddle:Given 5 gallon and 3 gallon jugs make
exactly 4 gallons of water
Example 1: The Da Vinci Code Probability
Sophie describes how many combinations are on a cryptex
o Have them do calculations to show how she got this answer:
26x26x26x26x26 = 11,881,376
Then give similar problems
Example 2: 30 Rock Transitivity
Tracy discovers Grizz can beat Kenneth at Halo and uses the transitive property
o Numb3rs http://www.weallusematheveryday.como Simpsons Mathhttp://www.mathsci.appstate.edu/~sjg/
simpsonsmatho Futurama Mathhttp://www.mathsci.appstate.edu/~sjg/futurama/o Math in the Movieshttp://world.std.com/~reinhold/mathmovies.htmlo Math Textbookhttp://www.pearsonhighered.com/academic/
product/0,3110,0321361466,00.html
Example 1: Harry Potter and the Sorcerer's Stone
Problem Solving
o Harry and Hermione have to solve a riddle involving seven bottles
o The chosen bottle either moves them
forward, behind, contains wine, or kills them
o Hermione uses logic to solve the puzzle
Have students work in pairsEach student draws a picture of the seven bottles and their partner uses the picture
along with the given clues to solve the riddle
Example 2: The Curious Incident of the Dog in the Night-time by Mark Haddon
Prime numbers and Problem Solving
o Chapters labeled with prime numbers
o Main character studying for math exam
o What to do when you get lost
Math in literatureo http://jeffcoweb.jeffco.k12.co.us/isu/math/
literature/mathlitles.htm
o http://www.mathcats.com/grownupcats/ideabankmathandliterature.html
o U+ Me = Us 2gethero 4 out of 5 Soul Coughingo Mathematics Mos Defo (Lord It's Hard to Be Happy When You're
Not) Using the Metric System Atom and His Package
Euclid Alone Has Looked on Beauty Bare By Edna St. Vincent Millay
Compares mathematical insight to divine revelation
Complete analysis:http://www.cs.rice.edu/~ssiyer/minstrels/
poems/604.html
o Visit: faculty.sjcny.edu/~epstein/NCTM
o Email ideas, questions, and comments to: [email protected]