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Welcome
to all Elementary Problem Solvers The goal of this page is to provide students with various problems that they can (try to) solve in a non-threatening and somewhat interactive setting. There are some people that are very good at problem solving and then there are the rest of us. This site is for the rest of us. I believe, just as George Polya does, that the art of problem solving can be taught and therefore learned. To master problem solving you will have to practice, by "exercising your mind." Consider this your treadmill and enjoy your run. Before attempting any of the problems I suggest that you become familiar with the following 4 Step Problem Solving Plan. You have very likely seen this plan in your mathematics textbooks and/or on the board. You were also very likely told to use it, to which you said, "I don't need that, I can answer anything." I would like to reiterate what your teacher said, "Use it!" This is an expanded version of Polya's original 4 Step Plan. You should go through each of the 4 steps but you don't need to use all of the options in each step. Pick one and go for it. Have fun. Polya's 4 Step Problem Solving Plan 1. Understand the Problem
If you are still having trouble figuring out what the question is asking then try some of these approaches.
2. Devise a Plan Do not attempt to do any of these unless you Understand the Problem!
If you are still having trouble figuring out how to solve the problem then take a break and let your brain simmer the problem. This does not mean that you can forget about doing the problem. You could also talk about the problem with others. 3. Carry Out the Plan At this stage you need to be both persistent and patient.
4. Evaluate the Results - Look Back This has the potential of being the most important step in the plan if used correctly. Here you can learn from both your successes and your mistakes.
Enough is enough, now get to work. Oh yeah, I almost forgot. GOOD LUCK!
If you have any questions, concerns, suggestions or comments then
contact me. The last time this site was changed was |