You have finally figured out a math solution to your problem - congratulations! But do not rejoice just yet as if you have already answered the problem. You are not finished. Whether you are writing a solution for a homework, message board, test or a competition, it is important that you communicate your solution legibly and clearly.

Why? Well, remember that your math solution will be shown to someone else. This may be your teacher, tutor, mentor, a math expert, and so on. These people are not mind readers. They check whether or not you got it right based on what you show them.

More importantly, math is not just about getting the right answer. What matters more is the thinking you did, and how you came up with your answer. If your idea is brilliant and innovative, good for you. But your brilliant idea will be worthless if you do not communicate it with the same brilliance.

An Ideal Math Solution

What makes an ideal math solution? A good solution is one which does not require your reader to think hard. Your ideas should be expressed in writing in a clear and consise manner. Once a reader looks at the solution flow, they will proceed from one line to the next without wondering how you got one from the other, or where you are headed.

Always have a plan

Before writing your math solution, it is important to have a plan. If you have enough time, you can start with an outline. Know what you have to define, assume, and know the order of how you will present the most important aspects in your solution.

Writing legibly

Your reader will appreciate legible writing. Now, this can be impossible in math. Using a pencil (which is erasable) may be useful if allowed, but make sure you erase thoroughly before rewriting. Proper spacing, observing one-line-one-equation, margins, and so on, will make your math solution pleasing to the eyes. Try to answer in print and avoid cursive paragraphs.

Drawing diagrams

Remember how pictures are worth a thousand words. If you are writing out a geometry solution or the likes, always include a diagram. It is easy to understand, as long as they are drawn precisely. A diagram will also save you from a lot of wordy explanations.

Clear case work

If your solution involves a number of cases, make sure that you identify each clearly. Also, make sure that you show how these cases cover all the possibilities as necessary. You can start with labeling cases as Case 1, 2, ... or A, B, ... written in all caps.

Proofreading

Never forget to check your work and edit if need be. Determine whether you have communicated the solution you thought of without any gaps. Your audience must get your point and know exactly what you mean. Check your equations and inequalities and see whether they are written the way they should be.

Practice writing math solutions

Writing out perfect math solutions also take practice. As they always say, repetition and nothing else, is the mother of all skills.