Students are intensely applying their knowledge to deal with different problems when doing their homework. You are getting passive knowledge while reading course books or receiving information at lectures. The best way to transform passive learning into “active” lies in solving problems. To eliminate problems with your homework please pay attention to these recommendations:
Don’t think you have become proficient in a subject once the solution was found. A lot of practice is required to set the material into long-term memory. Remember that the aim is not only to get the right answer. The way you achieve the result is essential. After using the formulas, theorems, etc., many times, you can get a fuller understanding and effectively apply the theoretical knowledge in practice.
To solve homework problems easily it is important to pay attention to the methods, techniques, or advice found in proofs and examples. Study each technique comprehensively, order them in a list. It’ll help to apply them properly.
Commonly, every chapter contains a few typical problems .What makes them "typical''? The first reason is their connection with a formula, a theorem, or an application. The second is the solution method. You have to identify the problems, analyze them deeply, understand their probable variations and record them.
Select problems very carefully and work them out, go into every detail. Afterwards, it’s time to do many tasks but not that carefully. This is the way you can get a broad understanding of the problem. Try to read the tasks and do them in your head.
Choose one method to carry out as many tasks as you can. Then try to apply a few different methods to carry out one task.
Gain experience. After you have worked out your homework difficulties, think them over again. Make a conclusion; choose the methods that really helped you. Keep them in your mind. It is crucial if you want to retain what you studied. If you skip this step, you risk wasting most of the practical knowledge you have gained.
You can be assured of comprehending the chapter’s core only after practicing the material and working out all problems. Now it is the best time to sum everything up. Structure your new knowledge. It’s good to make a chart or simply right down the main points.