If you as a student is actively participating in class, then, you are learning. In math classes, we generally involve ourselves in the problem-solving side, but we do not often expect to provide explanations.
But if we have to explain our problem(s) to someone else, we will develop a deeper understanding of the concept and in case there are any misconceptions, they will be discovered and can be easily attended to.
1. Present problems on your note or a in group reading(if you have any): During periods of assignment choose partners to present your problems to. Each of you should solve only one problem, and write your work as well as the answer. Then, the you all take turns telling yourselves on how you solved the problem. Should in case anyone has a question, you can answer it yourself or defer it to any of your friends that has a better understanding of the problem.
2. Write down how you solved a problem: After solving a problem, write down how you solved. The best ones include gradual instructions, how the steps apply to the problem, and the why behind them.
3. Ask yourself to explain the mistake you made: After going over a set of problems, ask yourself to take one problem you missed and explain why you missed it. The explanation should include what you did wrong as well as what you should have done instead.
4. Explain to each other how you all solved a problem: Give yourselves couple of minutes to explain to a partner how you solved a problem. The partner can then ask questions or give feedback on the explanation.
5: Require yourself to take notes: Write down formulas, key concepts, and the steps used to solve each type of problem in a math notebook. Not only will writing this down help you concentrate better, but it will also produce a great resource for you to use later when you cannot remember how to solve a problem.
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