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Synthesis - Problem Solving

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Synthesis - Problem Solving

1. 1. Synthesis : Problem-Solving
2. 2. What problems would you like to solve (one day)?
3. 3. I prefer to solve most problems: <ul><li>By relying on a logical approach </li></ul><ul><li>By relying on hunches and inspiration </li></ul>
4. 4. If told I must follow one of the two professions, I would rather be: <ul><li>A mathematician </li></ul><ul><li>An artist </li></ul>
5. 5. I think people should solve problems by: <ul><li>Careful analysis – you cannot afford to overlook details </li></ul><ul><li>Thinking up a large number of possible solutions – one might work! </li></ul>
6. 6. If searching for an address in a strange city I would rather: <ul><li>Look it up on a street guide </li></ul><ul><li>Ask a local resident how to get there </li></ul>
7. 7. Most problems can be solved by: <ul><li>A step-by-step process of elimination </li></ul><ul><li>Trying out all the possible solutions which come to mind </li></ul>
8. 8. If I have mislaid something, I usually: <ul><li>Search carefully through every possible hiding place until I find it </li></ul><ul><li>First think of the places it might be and then check them out </li></ul>
9. 9. If asked for advice I usually: <ul><li>Offer a few carefully considered suggestions which are almost certain to work </li></ul><ul><li>Come up with a large number of suggestionswhich may or may not work </li></ul>
10. 10. When seeking the answer to a problem, I am most successful: <ul><li>Working toward a solution on my own </li></ul><ul><li>Exchanging ideas as part of a team </li></ul>
11. 11. When a piece of equipment breaks down, the best way of fixing it is to: <ul><li>Take it apart, component by component, until the fault is found </li></ul><ul><li>Get a general idea of what might have gone wrong before trying out suitable repairs </li></ul>
12. 13. The Pathfinder Approach
13. 14. The Helicopter Approach
14. 15. The Missing Dollar Three students checked into a hotel and paid \$30 for a room (\$10 each). Later, the owner realised that he had incorrectly charged \$30 – the room only cost \$25. So, the owner planned to return \$5 to the students . But after thinking for a while, the owner decided to keep \$2 and to give the students back only \$3. The students were very happy because they paid only \$27 for the room (\$9 each). However, if they paid \$27 and the owner kept \$2, that adds up to \$29. What happened to the other Dollar?
15. 16. Is problem ‘framed’ correctly?
16. 19. #1 Check Your Assumptions
17. 21. FINISHED FILES ARE THE RE- SULT OF YEARS OF SCIENTIF- IC STUDY COMBINED WITH THE EXPERIENCE OF YEARS Count the Number of Fs’
18. 24. #2 Look carefully!
19. 25. The Crime Scene: There is a small room. There is a window in the room that is open. There is a table in the room. There is broken glass on the floor. There is also water all over the floor. There are two dead bodies on the floor. What happened? #3 Ask Questions
20. 26. The police break into a locked room with no windows and they discover the body of a man dangling from a noose. The security guard saw the dead man enter the room. The guard swears that no one else entered or left the room before or after the dead man entered it . The only way in or out of the room is through the door, which was locked. The ceiling is 25 feet high, and the noose only extends 4 feet down from the ceiling. There is no furniture of any kind in the room , nor are there any ladders, stairs, or other visible means to reach the noose. How did the man hang himself?
21. 27. 5 Litres 3 Litres How do you get exactly 4 Litres?
22. 28. Remove 2 sticks to leave only 2 squares
23. 32. #4 Generate many ideas / Try various alternatives