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Movementand
Exploration
Lessons 3-4
Scientists and
Mathematicians….
who have inspired, communicated, and
transformed their creativity to change our world.
Flow Map-Complete the following flow map about
scientists
Science
Scientists-Lesson 3
How have these
creative people
moved and explored ideas in science?
Johan Gutenberg and Printing
• 1456• Created the
printing press• Used movable type• 1st printed the Bible
Tell how the printing press
has changed over the centuries.
Eyeglasses• First eyeglasses in
the 1200s• By Mid 1400s the
discovery of printing books, etc. increased the demand for the eyeglasses
Cause/Effect---Why were eyeglasses created? How do you think this invention
lead to other movements in science?
Copernicus• 1543• Exploration of the
Earth’s movement–Earth revolves on
own axis–From west to east (24 hours)–Sun, moon, and
stars appear to move in the sky
How did this affect space exploration?
Sketches of Aircraft
parachute
Aero plane
Leonardo da Vinci and Aircraft
• 1480• Inventor and designer• Made sketches of unusual objects• Materials not available to bring
sketches to life
How do these sketches show movement in
science? Exploration?
Human Body and Science
• 1485-1490• Leonardo da Vinci
and Michelangelo studied the human body to better replicate it through their artwork.
How did this
drawing help study
movement in
science?
“ (The Man in Action)"
The Vetruvian Man
Clocks• 1581• Pendulum-enabled a
better regulator for constant movement of the hands or bell of a clock
• Water clocks• Hourglasses
Galileo Galilei
How has my creative invention shown movement over time?
Why was this an important inventions?
Lenses• 1608----Hans Lippershe• Placed lenses together to
magnify the image• Used as a military device
What exploration was taking place?
Spyglass---Telescope
• 1609• Device that
made distant objects near
• Allowed for many more astronomical discoveries
Explain why you think Spyglass was a good name for this invention.
Funny--Humor
Microscopes-Biology• Mid-1660s• Many tiny lenses to
magnify• Viewed pond water, plant
material, even gunk scraped off his teeth
How did microscopes
allow exploration of
our living world?
Your Turn• Research one of the following invention.• How did this invention create movement
and exploration in science or mathematics?• Map Projection
• Adding Machine
• Air Pump
• Barometer
• Thermometer
• Watch
• Slide Rule
• Reflecting Telescope
• Pressure cooker
• Calculating Machine
Circle Map
My Invention Research
_________
How did this invention show movement and exploration in science and mathematics?
Mathematicians- Lesson 4
How have these creative people
moved and explored ideas in
mathematics?
Fibonacci• 1202-Introduced
Hindu-Arabic number system into Europe
• the positional system we use today - based on ten digits with its decimal point and a symbol for zero
• 1 2 3 4 5 6 7 8 9 0 • Order of ordinals
matters
My exploration of numbers showed
patterns in nature.
• In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
Fibonacci’s Golden Ratio
Fibonnacii
Click the linkhttp://www.world-mysteries.com/sci_17_hand.gif
Fibonacci’s Golden Ratio
Fib
• Sunflowers• Bracts of a
pinecone • Petals of a flower
Fibonacci in Nature
How does this pattern affect the way we look at our natural world?
http://www.world-mysteries.com/sci_17.htm
• It is quite amazing that the Fibonacci
number patterns occur so frequently
in nature( flowers, shells, plants, leaves, to name a few)
that this phenomenon appears
to be one of the principal "laws of nature". Fibonacci sequences appear in biological settings, in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.
Why?
• ……is a universal law in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of both nature and art, and which permeates, as a paramount spiritual ideal, all structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical; which finds its fullest realization, however, in the human form.
The Golden Ratio
Fun with Fibonacci• The sequence, in which
each number is the sum of the two preceding numbers is known as the Fibonacci series:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181,...
(each number is the sum of the previous two).
• http://www-bioc.rice.edu/precollege/galbay/galbay99/teachers/fibonacci/index.html
Fibonacci Web-Quest
• Age 12 Discovered the sum of the angles of a triangle are two right angles(90+90=180)
• 1642--Invented calculator
Blaise Pascal
• To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.
Each number is just the two numbers above it added together (except for the edges, which are all "1").
Try This……..
Math Symbols• 1537• Giel Vander Hoecke • Used Signs to help
develop mathematics as we know it today
Why do you think no modifications
have been made to math symbols?
• Scan doc and place in here.
The Importance of Math Symbols