The method of problem simplification described below appears to have both of these characteristics. We have called the method R.E.L.A.T.E., because what it does is to relate a given problem to potential solutions; hopefully, the close resemblance between the name and the function will foster its retention by students. The acronym stands for Read, Emphasize, List, Ask, Test, Enter. Each of these steps is given in detail below:

The R.E.L.A.T.E Method:

1. R ead the problem slowly and carefully. Read each question that is asked. Don't skip over any word or part of the problem.
2. E mphasize the numerical data and relationships given in the problem, and the statement of the question that is asked. This can be done by underlining, circling, using an accent marker, or in other ways.
3. L ist the numerical data, including dimensions or units, on your worksheet. Also, list any mathematical relationships given in the problem. Don't make any judgments about what will be important-list everything! You may want to draw a picture just a simple one which shows the situation the problem describes.
4. A sk the question in your own words. Write a brief statement of the question, using either words or symbols, on your worksheet. Remember that this is only for your use, so it doesn't have to be fancy. When you have completed this step, you should no longer need to refer to the original problem again.
5. T est the formulas you have learned for their applicability to this problem. Do the formulas allow you to use the information you have listed? Can you solve the equation for the value sought by the question? If you have trouble with this step, list the formulas you have learned and check them one at a time.
6. E nter the data from you list into the formula you've chosen. Check so that the dimensions of the numbers you use match those required by the formula. Also, enter the values of any numerical constants which are needed. You're now set to solve the problem.

Although it is probably clear that this method will allow students to simplify problems by removing many of the lengthy written descriptions, it may not be apparent how this method fosters development of the recognition patterns mentioned earlier. This function of the method requires that the student utilize it consistently, for every problem done, whether reviewing solved problems in the text, or in homework problems, or in those done with a tutor or teaching assistant. The consistent application of the method will focus the student's attention on the invariant characteristics of each problem type, providing recognizable clues as then numerical values in the problem are listed. When the method is subsequently applied to exam questions, the result is display of the problem in a familiar format, which greatly assists the testing of potential solution methods for appropriateness.