This document discusses the connections between mathematics and nature through the concept of the golden ratio, represented by the Greek letter Phi. It provides examples of how the golden ratio appears in things like seashells, flowers, and the human body. It also discusses how the 19th century American poet and physician Oliver Wendell Holmes was inspired by the chambered nautilus seashell to write a poem about spiritual growth. The document suggests students will learn about Phi, conduct math activities involving Phi, examine where it appears in nature, and analyze Holmes' poem which found lessons in the nautilus' design.
1 of 10
Download to read offline
More Related Content
Mensa for Kids
1. K N O W L E D G E I S N O T A L I S T O F F A C T S ; I T I S
A C O L L E C T I O N O F O B S E R V A T I O N S T H A T
E N A B L E U S T O S E E T H E H A N D O F G O D I N
E V E R Y F A C E T O F O U R U N I V E R S E .
N A T U R E S G R E A T B O O K I S W R I T T E N I N
M A T H E M A T I C S . - - G A L I L E O
Math in
Literature
<iframe
src=/slideshow/goldenratioinlit-31150695/31150695/"http:/www.slideshare.net/slideshow/embed_code/3099
2425" width="476" height="400" frameborder="0"
marginwidth="0" marginheight="0" scrolling="no"></iframe>
2. Objectives
Students will learn about the number Phi
Students will conduct activities that utilize Phi
Students will make connections between the number
Phi and the nautilus shell
Students will learn why Holmes was able to grasp the
lessons of a chambered nautilus
3. Instructions
As you read the slides, be sure to make note of any
slides with hyperlinks
Connect to hyperlinks to access web pages that will
enable you to respond to the questions or to
complete activities
4. Cracking the Da Vinci Code
Click on the article title above to respond to these
questions:
What is Phi? Which Greek wrote about it?
In Liber Abaci, Leonardo of Pisa poses a problem
involving rabbits. Paraphrase his observation.
Why was he called Fibonacci?
What IS the Fibonacci sequence?
5. The Golden Ratio
Who was Johannes Kepler? (research it)
Click on the slide title to access the article for answers to these
questions:
What are maths greatest treasures, according to Kepler?
Illustrate Phi by cutting your string accordingly.
Phi is the only number whose square is ____ and whose reciprocal is
____
What geometric figures utilize Phi?
Name 1 connection between Phi and the Bible.
6. Lets Do Some Math!
Use the graph paper and colored pencils to complete
the work for the lesson, borrowed from Mensa for
Kids at
Mensa for Kids (Lesson 3, pp. 6-7)
7. Golden Ratio in Nature
Visit
http://jwilson.coe.uga.edu/emat6680/parveen/fib_
nature.htm
Explain the presence of the golden ratio in:
pine cones
sunflowers
branching plants
starfish
fingers
ears
8. Oliver Wendell Holmes, Sr.
To learn more about Holmes (Sr.), lets visit
http://www.notablebiographies.com/He-Ho/Holmes-Oliver-
Wendell.html
What professions did Holmes pursue?
What was his fathers profession? How did Holmes seem to feel about
his fathers position?
What did he first study at Harvard?
What kinds of writing did he produce?
Where did Holmes study medicine? Where did he teach?
Whom did he marry? What important position did his firstborn hold?
As a scientist and poet, he was able to bring to light lessons that might
have gone unspoken.
9. The Chambered Nautilus
As a physician, Holmes was especially
knowledgeable about anatomy. You
can be sure he was very familiar with
the design of the chambered nautilus.
Read the poem in the book to answer
questions about his famous poem.
10. What does the word nautilus mean? Why is it chambered?
What is the metaphor used in line 1, and what does feign mean in regards to it?
Explain the allusion to sirens in line 5. Who are the sea-maids (l. 7)?
Why would Holmes use mythical imagery in a poem about a shell?
Why do the webs . . . no more unfurl (l. 8)?
Describe the shell as it now appears.
Explain the lines: Where its dim dreaming life was wont to dwell / As the frail
tenant shaped his growing shell. . . (ll. 11-12).
What forces shaped the new chambers, and why were they forged?
As the new chambers were created, what happened to the old ones?
Line 22 contains an apostrophe (not the punctuation). What is being addressed?
What is the paradox of line 25?
Who is Triton (l. 26)?
What message does the speaker gain?
What do the last 2 lines mean?
Research the purpose served by the closed chambers of the shell, then explain how
our pasts can influence our present and future.
Questions