Studying math successfully takes work. Calculating machines and other gimmicks can help you, but alone if you use them properly.
Steps
Step 1. Memorize all the arithmetic operations:
addition, subtraction, multiplication and division (with the process of enumerating back and forth, if possible). Without the correct learning of these assumptions, it will be more difficult, or even impossible, to acquire the most advanced principles.
Step 2. Learn the mathematical (lexical) definitions
Ask the teacher to expose again (or express in another form) the words you do not understand. While he often doesn't use specific terminology, rest assured that other professors will.
Four squared, four cubed, or factorial of four all have different meanings. Knowing the definitions of these terms will facilitate the path to the solution
Step 3. Try to anticipate the math homework assigned by the teacher
It may seem like a lot of work, but it has its advantage.
- Do all the exercises (odd and even) in your textbook before they are even assigned.
- Some teachers always assign even exercises, so students can't cheat. Others, on the other hand, assign the odd ones, so that the kids correct them themselves - since the odd numbers often carry the solutions at the bottom of the text. Some teachers assign a series of problems around the house and use others to test!
- Ask the teacher to help you with any exercise, even those that have not been assigned. Remember that you are trying to learn. Problems that are not included in your check often end up in the checks and those that are very difficult to solve can give you an extra opportunity to improve your grades.
- When the teacher explains a topic (probably before assigning homework), ask the questions that may arise during the development of a problem (because it happened to you in the exercises already done). This is the most useful aspect of anticipating the work: everyone else will think "Eh?", While you will be focused on the answer related to a certain question.
- Some university professors give their lectures by answering only students' questions. Boys are required to attend classes after completing part of their work.
- Another advantage that comes from doing the work in advance (including the optional one) is that, if you need to stop for a while, the teacher will know that you are not taking advantage of his goodwill and "will give you a break".
Step 4. If a problem that has already been solved is given as an example in the textbook, try to do your job following that setting
Step 5. Identify the errors
Discovering mistakes is the best way to not repeat them.
Step 6. Don't move on unless you have learned your lesson well first
Mathematics is based on nothing but itself.
A mathematics book is like a short story: it makes no sense to continue if you don't start from the beginning
Step 7. Do your homework neatly
Make an effort to write all numbers equally. The more complex the math topics, the more ordered the calculations must be.
Step 8. Form a study group
When one person in the group has difficulties, others can help.
Advice
- Use all your intuitive and intellectual skills to learn math and set its principles. When you write, it exploits the visual memory and the kinesthetic activity of the brain. When you repeat the definitions and theorems aloud, take advantage of the auditory functions.
- Do not worry if you have the impression that you have not grasped the concepts immediately. It could be a good thing, allowing you to broaden your mental faculties. It may happen that you live with a problem, a passage found in a test or a definition for a few days or a week, before your mind is able to absorb and grasp it. Don't stop working on it, do something else and return to focus later. Work on the problem, but at intervals. Look for explanations or similar problems in other books to get ideas.
- The best thing you can do when studying new subjects is to leave a paper trail. Practice perfecting your handwriting, and when you're in trouble, try not to skip the steps. If you really want your math work done right, use the rulers to draw the straight lines and the fraction line that separates the numerator from the denominator. It is much easier to study and review the work when it is clearly written.
- If you are learning a complicated theorem or principle, prepare and write down some examples that meet the assumptions and try to find the result yourself. That way, you will know it inside out. This method is especially useful in abstract algebra and number theory.
- If you are confused about something that the book predicts you are already familiar with without giving you any cross-references, or even giving it to you so as not to get confused, it is advisable to consult and learn it first.
Warnings
- Don't be too hard on yourself. Realize that many before you have made an effort on the same topics you are learning. Some people take longer to understand math. Eventually, with due perseverance, you can do it.
- Don't push yourself too far and fast, or you might get confused.
- Don't be afraid to ask someone who has been studying math for a long time or is at a more advanced level for help.
- Don't let anyone in the group COPY or CHAM! Eventually, it will be discovered in one way or another. Besides, why would you want someone to improve their grade to your detriment?
