What. A New Way of Thinking...modern consciousness.

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2 A New Way of Thinking...modern consciousness. What The Renaissance and the Reformation facilitated the breakdown of the medieval worldview. The physical world could be managed and understood by people.

3 What A New Scientific Method A step-by-step process of discovery evolved that became known as the scientific method.

4 Who Nicolaus Copernicus proposed a heliocentric, or suncentered, model of the universe. Earth is just one of several planets that revolve around the sun. Most experts rejected this revolutionary theory.

5 Who Tycho Brahe and Johannes Kepler But in the late 1500s, the Danish astronomer Tycho Brahe provided evidence that supported Copernicus s theory. Johannes Kepler, used Brahe s data to calculate the orbits of the planets revolving around the sun.

6 Who Galileo Galilei assembled an astronomical telescope. Galileo s discoveries caused an uproar.

7 Who Englishman Francis Bacon and the Frenchman René Descartes. Both argued that truth is not known at the beginning of inquiry but at the end, after a long process of investigation. Bacon stressed experimentation and observation.

8 Who Descartes emphasized human reasoning as the best road to understanding. Therefore he made his famous statement, I think, therefore I am.

9 Who By age 24,Isaac Newton had formed a brilliant theory to explain why the planets moved as they did. Nature, argued Newton, follows uniform laws. All motion in the universe can be measured and described mathematically.

10 When 1500 s 1600 s

11 Where Middle East Italy France England Poland

12 Why was math so important to the Scientific Revolution? Mathematics, is a way of describing relationships between numbers and other measurable quantities. The physical world could be managed and understood by people (humanism) using mathematics to describe all things in the universe.

13 Fibonacci Numbers The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence: 1,1,2,3,5,8,13,21,34,55,89,144...

14 Fibonacci Numbers in nature!!!!!!

15 How did math give Sci Rev thinkers the ability to change perceptions? Mathematics is the language of science. Mathematics allows scientists to communicate ideas using universally accepted terminology.

16 How? Mathematics attempts to capture the complexity of a problem using mathematical notation (signs and symbols) and concepts (theorems and proofs).

17 Wisdom: Outcome/Results Inductive Reasoning Deductive Reasoning

18 Inductive Reasoning Inductive reasoning is the process of observing data, recognizing patterns, and making generalizations based on those patterns. You probably use inductive reasoning all the time without realizing it. A generalization based on inductive reasoning is called a conjecture. Consider the sequence 10, 7, 9, 6, 8, 5, 7,... Make a conjecture about the rule for generating the sequence. Then find the next three terms.

19 Deductive Reasoning Deductive reasoning Deductive reasoning, sometimes called deductive logic, is reasoning which uses deductive arguments to move from given statements (premises) to conclusions, which must be true if the premises are true. An example of deductive reasoning, given by Aristotle, is All men are mortal. (major premise) Socrates is a man. (minor premise) Socrates is mortal. (conclusion) An argument is valid when its conclusion must be true if its premises are true. If the premises are not true or the argument is not valid, the conclusion may or may not be true. Alternative to deductive reasoning is inductive reasoning.

20 Deductive Reasoning: Franks Puzzle Frank's Puzzle: Don, Frank, Jenny, and Ken each come from one state, either Alaska, Maine, Montana, or Oklahoma. They each speak one primary language, either English, French, Russian, or Spanish. And they each have one of four pets: a chinchilla, a dog, a hamster, or a turtle. 1. Frank needed a language book to write to the Alaskan. 2. The kid from Oklahoma has a mammal for her pet. 3. The Alaskan found his pet outside his door in a snow bank. 4. The French speaking boy lives east of Oklahoma. 5. The Russian speaking boy wants to write to the kid from Montana, but he doesn't speak his language. 6. Don bought his pet in Peru. 7. Ken does not own a hamster. 8. The dog's owner wrote a letter in Russian to the kid in Oklahoma, but she couldn't understand it. 9. Don had to travel west to meet Jenny. 10. Frank is learning Spanish at school. Frank Don Jenny Ken