MovementandExploration Lessons 3-4. Scientists and Mathematicians…. who have inspired,...

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