Descartes Electronic Workshop 2002
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The content of this page was originally created by the University of Waterloo.


Introduction to the Workshop

Purpose

The purpose of the electronic workshop is to give interested students an opportunity to do regular extra preparation for the Descartes Contest, which will be written on April 17, 2002. The intent is for students to be exposed to many "Descartes style" problems, and at the same time to help students learn how to write good solutions.

Schedule

A Problem Set of four new questions will appear on the first day of every month, starting October 01, 2001, and ending April 01, 2002, for a total of seven Problem Sets. Some of these problems will be from old Descartes contests, while others will be new questions. Solutions to the problems will be on the Web one month after the problems were posted. Hints will be available on the Web two weeks after the posting of the problems. The four questions in each Problem Set will consist of one 'type' question from each section of the Descartes contest. They will all require full written solutions.

What Students Should Do

Students should
  1. Try the questions when they first appear;
  2. Consult the hints if stuck on a particular question;
  3. Carefully read the solutions to not only see correct approaches to the problems, but also to see examples of properly written solutions.

Tips for Writing Good Solutions

The ability to write a good solution to a problem requires practice. Having solved a problem also doesn't necessarily mean that you will be able to write a good solution to it. But, if you bear the following tips in mind, you should be able to improve your solutions.
  • Do your work in rough first, before you write up your final solution. It's a good idea to figure out how to do the question in rough first before you go about writing your good copy to hand in. This will actually save you time in the long run, and make your solutions much easier to understand.
  • Make sure you understand all of the details of the question. This prevents you from having to stop and add things to your solution haphazardly.
  • Organize your thoughts. Writing a good solution is just like writing a good essay: it requires organization. A well-organized solution is well on the way to being a good solution.
  • Use lots of words in your solutions. Don't just write out the equations - you have to explain what you are doing and why you can do it.

The goal of a good solution is that you want someone who has no idea how to do the question to be able to understand your solution without having to figure too much out. Following the tips above should help you to write a good solution.

Try practicing writing good solutions by following the above suggestions while working on the Problem Sets from the Descartes Electronic Workshop. Once you have written your own solutions, compare them to the ones on the Web and look for any differences. This is a great way to check on your progress. Or, show your solutions to your teachers and ask them to critique them. Using these two methods, your solution writing will almost certainly improve.

A Word About Marking

When we mark the Descartes and other "full solution" contests, we look not only for correct solutions, but also good solutions. A solution might be "correct", but not receive full marks, because it is not well-organized or some justification has been left out. So it is certainly worth your while to try to make your solutions as good as possible. Remember, it will take practice to be able to write good solutions, but it will be worth it!



Problem Set #1   Hints Solutions

Problem Set #2   Hints Solutions

Problem Set #3   Hints Solutions

Problem Set #4   Hints Solutions

Problem Set #5   Hints Solutions