Problem solving
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Problem solving

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How to prepare our mind to solve problems

How to prepare our mind to solve problems

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  • 1. PROBLEM SOLVING Dr.S.Lovelyn Rose PSGCollege ofTechnology
  • 2. Problems  Stephen was looking at a photo. Someone asked him, "Whose picture are you looking at?" He replied: "I don't have any brother or sister, but this man's father is my father's son." So, whose picture was Stephen looking at?  There was a robbery in which a lot of goods were stolen. The robber(s) left in a truck. It is known that : (1) Nobody else could have been involved other than A, B and C. (2) C never commits a crime without A's participation. (3) B does not know how to drive. So, is A innocent or guilty?
  • 3. Problems  A list contains repeated numbers. All the numbers are repeated odd number of times except one number which is repeated an even number of times. Find that number.  Given a sequence of numbers in order. i.e. {0,1,2,…n}. One number in the sequence is missing. Find the missing number.
  • 4. Problem  The farmer wants to get his goat, wolf and cabbage to the other side of the river. His boat isn't very big and it can only carry him and either his goat, his wolf or his cabbage. Now.....if he leaves the goat alone with the cabbage, the goat will gobble up the cabbage. If he leaves the wolf alone with the goat, the wolf will gobble up the goat. When the farmer is present, the goat and cabbage are safe from being gobbled up by their predators.  How does the farmer manage to get everything safely to the other side of the river?
  • 5. PROBLEM SOLVING IS EASIER SAID THAN DONE
  • 6.  Did u try?  Or is it not for people like you?  How long did u take?  Immediately  Took a looooong time  What if you were not able to answer any question?  Can u never solve a problem  How did u formulate the solution?  Knowledge  Intelligence
  • 7.  Did u panic that some one else might come with an answer before you?  Were you waiting for some one else to find the solution?  Do you have a solution – but decided not to say it loud  To err is wrong  Did you try finding the answer with your friend?  Did you understand the question?
  • 8. Why these barriers?  Used to rote learning  Haven’t been taught to be creative  Lack of exposure to these types of problems  Fear of under-performing  Stops the thought process  Time limit  Makes us panic Optimist International 9 What are some other barriers that get in our way?
  • 9.  Remember the first time you learnt to ride a cycle or bike or car  Got it the first time?????
  • 10. How to overcome?  Equip with the right knowledge  If you are not used to solving problems  Do not panic  No one learns when upset  Set aside time to make it fun  Practice makes perfect  Include other people in the creative thinking process with you
  • 11. Principles in Problem Solving Understand the problem Make a plan Carry out the plan Can u make the solution better?
  • 12. Understand the problem  What are you asked to find or show?  Can you restate the problem in your own words?  Can you think of a picture or a diagram that might help you understand the problem?  Is there enough information to enable you to find a solution?  Do you understand all the words used in stating the problem?  Do you need to ask a question to get the answer?
  • 13. Devise a plan  Guess and check  Eliminate possibilities  Look for a pattern  Draw a picture  Solve a simpler problem  Work backward  Use a formula  Be creative
  • 14. IT'S NOT THAT I'M SO SMART, IT'S JUST THAT I STAY WITH PROBLEMS LONGER. Albert Einstein