PROBLEM SOLVING

Solving problems is usually the most important aspect of science /art inter disiplinary study. You must, therefore, spend much of your time either working or studying problems to reach the visual conclusion. When working a problem, follow these steps:

1. Have a vague idea or understanding of the process you wish to use.

1. Read through all kinds of materials for the purpose of finding out what the problem is asking for (your unknown). Be able to state this in your own words.

1. If appropriate, draw a diagram and label the givens.

1. Read each phrase of the newly formulated problem and write down (symbolically or otherwise) all information that is given.

1. Devise a tentative plan to solve the problem by using one or more of the following tactics:

   • Form relationships among all facts given. (Write an equation that includes your unknown.)

   • Think of every formula or definition that might be relevant to the problem.

   • Work backwards; ask yourself, "What do I need to know in order to get the answer?"

   • Relate the problem to a similar example from your notes.

   • Solve a simpler case of the problem using extremely large or small numbers; then follow your example as if it is an example from a text.

   • Break the problem into simpler problems. Work part of the problem and see if it relates to the whole.

   • Guess an answer and then try to check it to see if it's correct. The method you use to check your answer may suggest a possible plan.

   • If you are making no progress, take a break and return to the problem later.

1. Once you have a plan, carry it out. If it doesn't work, try another plan.

1. Check your solution.

   • Check to see if the answer is in the proper form.

   • Insert your answer back into the problem.

   • Make sure your answer is "reasonable."

During the problem solving process, it is often helpful to say out loud all of the things you are thinking. This verbalization process can help lead you to a solution.

Once you have followed these simple steps a visual solution will be achieved.

IMPORTANT: The knowledge of most science /art projects are cumulative. Many concepts build on previous concepts, and a poor understanding of one concept will likely lead to a poor understanding of future concepts. Consequently, you should seek help early, if you encounter difficulty.