Transcript Scientists and Mathematicians…. who have

Movement
and
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
Scientists-Lesson 3
How have
these
creative
people moved
and explored
ideas in
science?
Johan Gutenberg and Printing
Tell how the printing press
has changed over the
centuries.
• 1456
• Created the printing
press
• Used movable type
• 1st printed the Bible
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?
How did this
affect space
exploration?
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
Sketches of Aircraft
Aero plane
Leonardo da Vinci and Aircraft
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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.
The Vetruvian Man
“ (The Man in Action)"
Clocks
• 1581
• Pendulum-enabled a better
regulator for constant
movement of the hands or
bell of a clock
• Water clocks
• Hourglasses
Why was this an
important inventions?
Galileo Galilei
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
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
•Watch
•Adding Machine
•Slide Rule
•Air Pump
•Reflecting Telescope
•Barometer
•Pressure cooker
•Thermometer
•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.
Fibonacci’s Golden Ratio
• 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.
Fibonnacii
Fibonacci’s Golden Ratio
Click the link
http://www.world-mysteries.com/sci_17_hand.gif
Fib
Fibonacci in
Nature
How does this pattern
affect the way we look at
our natural world?
• Sunflowers
• Bracts of a
pinecone
• Petals of a flower
http://www.world-mysteries.com/sci_17.htm
Why?
• 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 fruit lets of a pineapple, the flowering of
artichoke, an uncurling fern and the arrangement
of a pine cone.
The Golden Ratio
• ……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.
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).
Fibonacci Web-Quest
• http://wwwbioc.rice.edu/precollege/galbay/galbay99/t
eachers/fibonacci/index.html
Blaise Pascal
• Age 12 Discovered the
sum of the angles of a
triangle are two right
angles(90+90=180)
• 1642--Invented calculator
Try This……..
• 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").
View Videos
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View videos :
Examining Fibonacci Sequence
Finding Number in Sequence
Investigating Pascal’s Triangle
• http://mycontent.discoveryeducation.com/
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?
The
Importance
of Math
Symbols