How to get better at math from scratch on your own?
Mathematics, like the mother tongue, is one of the most important sciences, not only in school. It is often indispensable in everyday life and in career. In addition, maths must be passed in the final grades. But what happens if everything is lost? Let’s figure out how to learn this science on our own, and from scratch, and prepare for exams.
This article will also be useful for those who graduated from school long ago, but have a desire to enter a college or university in a technical specialty. In this case, too, it is necessary to comprehend how to get better at math from the basics or to pull up knowledge in those topics that were not clear at school or simply forgotten.
We suggest using the instructions below. But please note: success depends entirely on the student himself.
Before you start learning mathematics, you should be morally prepared. This is especially true for those who have not received this subject at school. After all, it happens that a person is not a mathematical, but a humanitarian mind.
Below we will discuss what to do if one of the topics cannot be understood. But in any case, you need to be ready for a long study, because quickly learn mathematics is actually almost impossible.
Moral training is to..:
Try to make it clear to yourself that you can study any science if you want. After all, somehow high achievers and good at discipline. Especially if the teacher says it is an easy topic, it is worth believing.
Postpone entertainment, communication with friends and various activities that are not so important, in order to pull up knowledge of the queen of all sciences. Let most of the time be devoted to the study of incomprehensible topics.
Before you start, give yourself a good rest. For example, to walk in the fresh air in the park, to do a few physical exercises or urgent matters. For it is very important that no external concerns or requests are distracted.
Tune in to memory training to memorize the rules and formulas. They are in fact not as complex as they seem.
To understand that mathematics mostly requires logical thinking and wit.
To take science not as something for granted, but as a puzzle game in which you have to go through specific stages and check the correctness of the solution of the problem with the “backup”.
Convince yourself that memorization training is useful for the brain.
To understand that solving of many problems and examples, building of figures and graphs, and also various geometrical proofs is a fascinating process which can be applied in practice.
Let such recommendations become your helpers every time you want to leave the study of complex topics. It turns out that it’s not that hard to learn math from scratch.
Evaluating your knowledge
It is very important to be able to evaluate your knowledge. For example, you are a 9th grade student, or you are currently in summer, and the goal is to make sure that you learn well what you missed and didn’t understand earlier. In this case, we do this: open the 5th grade textbook, find any complex problem and solve it. If the answer is correct, we can easily start the tasks for 6th grade and check ourselves on them. It is desirable to solve a couple of tasks from each topic.
And now let’s see how quickly we can learn the rules of mathematics.
There is bound to be a problem that you will find difficult to solve. For example, the topic is related to square equations, but the example is given as two works with brackets that need to be solved. And you forgot the rules of opening parentheses, so the answer is wrong, the verification solution does not match. In this case it is worth noting in a separate sheet of paper that you need to understand in which case the sign “+” is put, and in which case “-” when opening the brackets. You should also work through the other topics.
A little bit of geometry.
As for geometry, it too should be studied at first to understand what figures, theorems, how to work in this discipline in general.
But how to learn mathematics in a short period of time, if almost all the subjects are unclear or unfamiliar, and is it possible? Here are some recommendations.
If there’s a lot to lose.
Is it worth mentioning that math from scratch is best dealt with by a tutor or a relative, a classmate? It is quite difficult to study the subject itself, especially when compared to history or geography. But still, if you have a lot of free time, you can try to solve the examples yourself. It may be necessary to study in detail simpler topics, which are mainly included in the 5th grade program.
Now let’s plan our actions common core math example:
Purchase textbooks and wizards for all high school classes. The program must match what you learn in school.
Make a list of all the topics that are available.
Prepare a blank notebook for the tasks. It is not recommended to solve examples on scraps of paper, let all the actions performed be before your eyes, even if they are with marks and mistakes.
If you have saved notes with the passed lessons and the examples solved in class, be sure to work them. Write down a problem in your notebook, then close the abstract and start to solve it yourself. As you finish, check that you have done correctly, and what is wrong.
Learn the rule and formulas on a current theme. Remember that mathematics does not “like” to cram, it “likes” to understand the definition.
This approach will help you learn common core math example on your own. How do you memorize everything at once? You don’t really have to do that.
The best way to memorize
As mentioned above, normal notching won’t help. We need to figure it out. Let’s say you have a topic related to finding the definition of the volume of figures in geometry. These formulas are quite simple, they’re easy to remember. But to learn the lesson better, it is desirable, following the formula, to solve the problem. At the same time you will notice the sequence: what depends on what and how it is deduced. For example, elementary finding the area of a rectangle: multiply the lengths of the two sides that are not lying parallel. And that’s it, the problem is solved. It is much harder to determine the area of the circle or the volume of the cylinder, but if you remember the formulas, it will not be difficult.
And how do you learn mathematical rules if they are not related to formulas? It’s pretty simple. For example, the same bracket opening. All you need to remember is that “multiplication of minus by minus gives plus, and multiplication of minus by plus (and vice versa) always gives minus”. And that’s it. In the future, we will solve even the most difficult problems on the opening of parentheses will be obtained by one or two times!
The knowledge gained should always be consolidated. You have memorized the discriminant formula or learned the sequence of finding the unknown through charting. Be sure to solve various examples on this topic and more to put everything in your memory.
Teachers, and tutors, recommend returning to the topic from time to time to test yourself. This will actually take a few minutes. You’ve probably noticed that those who have time for mathematics are able to pass the job, which is designed for half an hour in 15-20 minutes. What’s so amazing about that? It’s just that the topic was mastered well enough and you don’t have to break your head for a long time, remember the formulas or try to ask your neighbor.
How do you learn math 5 minutes before a test, and is it possible? Of course, if the previous sections are well mastered and the present one is not studied for some reason, you can run by the rules and formulas. But success will be only if the topic logically continues the previously studied.
Everything is not given here, either.
Unfortunately, most students are unable to understand science either in class or on their own. The topic needs to be explained separately. Often it is necessary to use a tutor.