# Watts - ChrisWatts ChrisWatts Acknowledgement...

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Chris Watts

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Chris Watts
Acknowledgement To Kathleen Lewis, Lynn Carlson, Magdalena  Mosbo, and Mary Harrell for consistently  listening to and encouraging me through my  mathematical insecurities. To the whole Oswego math department, for  helping me mature into a growing  mathematician.

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Motivation Unchallenged Bored Misguided Terrified
Road to Discovery Dissatisfaction with High School Abstract Algebra Probability / Statistics Elementary Problem Solving

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The Paper 5 Solved Problems Research How to Solve It  (George P ó lya) The Art and Craft of Problem Solving  (Paul Zeitz)
Research:  How to Solve It Written for teachers and students Structure Two types of problems Problems to find Problems to prove

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Research:  How to Solve It Luck Four Steps Understanding the Problem Devising a Plan Executing the Plan Looking Back
Research:  How to Solve It “The List” “What is the unknown?” “Have you seen a similar problem?” Teachers’ role

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Research: “The List” Understanding the Problem What is the unknown? What are the data? What is the condition? Draw a figure. Introduce suitable notation. Devising a Plan Find a connection between the data and unknown. Do you know a related problem? Could you restate the problem? Solve a related problem. Executing the Plan and Looking Back Have you checked each step? Is it evident that each step is correct? Can you prove that each step is correct? Can you check the result? Can you derive the solution differently? Can you use the result or method for  some other problem?
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