STEAM to Screen: Mathematics

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A presentation for the Arizona Association for Teachers of Mathematics 2014 State Conference

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STEAM to Screen: Mathemathics

Using visual media to deepen comprehension of math concepts

Presented by KellyAnn Bonnell, MALeague of Extraordinary Academics

Pop Goes the Classroom

Bloom’s Revised Taxonomy

HOTS LOTSCreating

Evaluating

Analyzing

Remembering

Understanding

Applying

Pop Culture Creates Context

8

Harvard University

Math Department

http://www.math.harvard.edu/~knill/mathmovies/

1000 FREE instructional math movies covering a wide range of math concepts including Number & Operations, Algebra, Measurement, Geometry, Data Analysis & Probability, Connections and Technology

http://mathflix.luc.edu/In addition to MathFLIX’s valuable video resources, the site also features 400 downloadable worksheets that reinforce concepts and provide valuable practice.

Using Movies and TV Shows to Motivate a Lesson

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?

Summary

o Numbers are Fibonacci numbers out of order13 – 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

Summary Cont.

o Introduction to cryptography

o Introduction to the Fibonacci numbers

o Problem Solving

Uses

Hedy Lamarr was an extremely intelligent woman. In addition to her film accomplishments, Hedy patented an idea that later became the crutch of both secure military communications and mobile phone technology. In 1942, Hedy and composer George Antheil patented what they called the “Secret Communication System.” The original idea, meant to solve the problem of enemies blocking signals from radio-controlled missiles during World War II, involved changing radio frequencies simultaneously to prevent enemies from being able to detect the messages. While the technology of the time prevented the feasibility of the idea at first, the advent of the transistor and its later downsizing made Hedy’s idea very important to both the military and the cell phone industry.

HOTS LOTSCreating

Evaluating

Analyzing

Remembering

Understanding

Applying

DOK Questions

How does Robert Langdon use math in the

movie?

What math skills are necessary in basic

cryptography?

How was math important military

intelligence?

How can you use math to make a secret code?

The Die Hard 3 problem

The bad guy tells our heroesthat they must make exactly four gallons from five and three gallon jugs. They did it just in time.

How did they do it?

(1) Fill the five gallonjug. Three gallonjug is empty.(2) Empty three gallonsfrom the five gallonjug into the threegallonjug.(3) There remains two gallonsin the five gallonjug. Empty thethree gallonjug.(4) Pour the two gallonsinto the three gallonjug.(5) Fill the five gallonjug and pour one gallonfrom it into thethree gallonjug - fillingthe three gallonjug.(6) Four gallonsremain in the five gallonjug. We have solvedthe problem.

Step-by-step

Step-by-step

Given 11 and 4. Make 8Step 1 Step 2

Step 3 Step 4

11 gallon

4 gallon

HOTS LOTSCreating

Evaluating

Analyzing

Remembering

Understanding

Applying

 A summa cum laude graduate of UCLA with a degree in Mathematics, Danica has been honored in Britain's esteemed Journal of Physics and the New York Times for her work in mathematics, most notably for her role as co-author of a ground-breaking mathematical physics theorem which bears her name (The Chayes-McKellar-Winn Theorem).

What can you do with these films?

25

HOTS LOTSCreating

Evaluating

Analyzing

Remembering

Understanding

Applying

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