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# Problem Solving: A Few Examples

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Dimostrazione is considered one of the character traits that made Leonardo da Vinci one of the most influential geniuses in history. It is one approach to problem solving.
It means a commitment to test knowledge through, experience, persistence, and a willingness to learn from mistakes. Some might call it "trial and error" and consider it a poor way to solve a problem.

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### Problem Solving: A Few Examples

1. 1. Demonstrazione de-mo-stran-zia demonstration Problem SolvingProblem Solving
2. 2. How do you feel about solving problems by testing knowledge through experience, persistence, and a willingness to learn from mistakes?
3. 3. Leonardo da Vinci • Dimostrazione is considered one of the character traits that made Leonardo da Vinci one of the most influential geniuses in history. • It means a commitment to test knowledge through, experience, persistence, and a willingness to learn from mistakes.
4. 4. As a teacher or learner… • Do you welcome trial & error as a methodology? • Do you encourage or allow for failure? • Is there a way to make trial & error more efficient?
5. 5. HERE ARE A FEW QUESTIONS TO ENCOURAGE YOU TO TRY PROBLEM SOLVING
6. 6. • You are driving along in your new two- seater Porsche on a bitterly cold, snowy, stormy night. You pass by a bus stop, and you see three people waiting for the bus: – An old lady who looks as if she is about to die. – An old friend who once saved your life. – The man/woman of your dreams. Which one would you choose to offer a ride to, knowing that there could only be one passenger in your car?
7. 7. One solution: "I would give the car keys to my old friend, and let him take the lady to the hospital. I would stay behind and wait for the bus with the woman of my dreams."
8. 8. What is unusual about the following group of words?What is unusual about the following group of words? assess banana dresser grammar potato revive uneven voodoo
9. 9. In all of the words listed, if you take the first letter and place it at the end of the word, then read in reverse order, it will be the same word. assess banana dresser grammar potato revive uneven voodoo
10. 10. You’re in your new home and have a little problem. On the top floor are three incandescent lights. On the ground floor are three switches which control the lights, presently all in the "Off" position. You don't know which switch controls which light, except that there is a one-to-one correspondence. You're alone on the ground floor and want to label the switches but you want to do it in as few trips upstairs as possible. What is the minimum number of trips this takes?
11. 11. Here’s a way to accomplish this in one trip. • Turn two switches to the "ON" position. • Wait a few minutes. • Turn off one of the two switches. • When you reach the three lamps on the top floor, one light will be on (the switch that is still on), • one light will be off and cool (the untouched switch), • one light will be off, but still warm (it was on but then switched off)
12. 12. What do an Adam’s apple, diesel engines, 100Hz and a Venn diagram have in common?
13. 13. An Adam’s apple, diesel engines, 100Hz and a Venn diagram are all EPONYMS – a name taken from a person (inventor, discovered etc.) http://en.wikipedia.org/wiki/List_of_eponyms