Problem-solver Characteristics 1

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Problem-solver CharacteristicsPS Characteristics1If there is a problem you can't solve, then there is an easier problem youcan solve: find it.George PolyaOpportunity is missed by most people because it is dressed in overallsand looks like work.Thomas EdisonIt is the mark of an educated mind to be able to entertain a thoughtwithout accepting it.AristotleCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Getting Started with a ProblemPS Characteristics2“Eighty percent of success is showing up.” Woody Allen“Success is 1% inspiration and 99% perspiration.” Thomas EdisonThe Principle of Intimate Engagement: You must commit to the problem“Roll up your sleeves”“Get your hands dirty.”CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Easy vs. Hard ProblemsPS Characteristics3Easy problems: you can just "see the answer"Medium problems: you can see the answer once you engageHard problems: you need strategies for coming up with a potentialsolution, sometimes for even getting startedThere are few, if any, objective criteria for deciding whether a givenproblem is easy, medium or hard.What is hard for one solver may be easy for another.What is hard for you under come conditions may be easy for you underdifferent conditions.CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Effective vs. Ineffective Problem SolversPS Characteristics4Effective:Believe that problems can be solved through the use of heuristicsand careful persistent analysisIneffective:Believe You either know it or you don't.''Effective:Active in the problem-solving process: draw figures, makesketches, ask questions of themselves and others.Ineffective:Don't seem to understand the level of personal effort needed tosolve the problem.Effective:Take great care to understand all the facts and relationshipsaccurately.Ineffective:Make judgments without checking for accuracyCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Mental ToughnessPS Characteristics5Need the attributes of confidence and concentrationConfidence comes with practiceAttack a new problem with an optimistic attitudeUnfortunately, it takes timeYou can’t turn it on and off at willNeed to develop a life-long habitCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Engagers vs. DismissersPS Characteristics6Engagers typically have a history of success with problem solving.Dismissers have a history of failure.You might be an engager for one type of problem, and a dismisser foranother.You can “intervene with yourself” to change your attitude of dismissal.CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

The Mental BlockPS Characteristics7Many students do significant problem solving for recreationSudoku, computer games, recreational puzzles.These same students might dismiss math and analytical computer scienceproblems due to a historical lack of success (the mental block)To be successful in life you will need to find ways to get over any mentalblocks you haveLearn to transfer successful problem-solving strategies from one part ofyour life to other parts.Example: Writing is a lot like programming.CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Engagement ExamplePS Characteristics8Connect each box with its same-letter mate without letting the lines crossor leave the large box.BACCS@VTCBAIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Engagement ExamplePS Characteristics9Draw a continuous polygonal line that passes through each circle exactlyonce – and use the fewest number of line segments you can manage:CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Engagement ExamplePS Characteristics 10The picture below shows a horseshoe with six nail holes.Can you make two straight cuts that result in six pieces, each containinga single nail hole?Michalewicz2CS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Engagement ExamplePS Characteristics 11Cryptoarithmetic problem: ADDI---------DIDLevineCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Non-engagement ExamplePS Characteristics 12LevineCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

"Real World" Engagement ExamplesPS Characteristics 13Repairing something (dryer, toaster, etc.)Dryer example: Clean it outTable example: Look for the loose partsCar seat example: Reattach spring wire“Taking the time”You can screw something up or do something dangerous. But often youare not faced with such a prospect.Some domains require that you study/practice/build expertise to be effectiveThe act of engagement can help you build domain knowledgeCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Overcoming ProcrastinationPS Characteristics 14Writing/programming/project procrastinationJust sit down and write, don’t care about quality to startWrite whatever part of the document/program appeals. Don’t do it start tofinish.Do part of it at a time, over timePeople don’t write books, they write sections or pagesPeople don’t write programs, they write functions, etc.Schedule to work. Milestones, etc.Commit to someone outside if that helpsInvent deadlines if you are deadline-drivenCS@VTIntro Problem Solving in Computer Science 2011 McQuain & Shaffer

Thomas Edison It is the mark of an educated mind to be able to entertain a thought without accepting it. Aristotle. PS Characteristics CS@VT Intro Problem Solving in Computer Science 2011 McQuain & Shaffer . Microsoft PowerPoint - T6_PSCharacteristics.ppt [Compatibility Mode]

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