The article describes the effective strategies to study the concepts of higher mathematics, which will be useful to those who teach mathematics on their own. All we would like to better understand in mathematics. Many of the following councils will be useful to those who teaches mathematics and not only. 1. Mathematics is not a routine, but a mind game Mathematics is not only not so much the subject of the university program as a powerful language for the presentation of abstract ideas. With the help of strict consistent sets of rules, mathematics allows you to clothe in a specific form of any concept. These rules should be treated with respect, because they developed for a long time with the best minds. Your mind should be open to this: blind learning will not give results. Memory of mathematical facts to those who teach mathematics, usually occurs naturally during the repeated use of previously studied bases. 2. Be sure of yourself Although many people have a fear of mathematics, studies show that the perception of his own intelligence as a developed object leads to good learning dynamics. That is, first of all, you need to believe in your own strength. Mathematics is available to everyone. You can learn anything if you have the right motivation. Do not worry if you and the move did not understand any concept of mathematics. It has been proven that the brain develops, even when you make mistakes. Do not worry if someone solicing tasks is lighter. Most often it is only a matter of experience and discipline of the mind. 3. Explore the fact that you are interested. If you are studying mathematics yourself, start with areas, interesting personally to you. Do not waste time on boring for you (but seemingly necessary) themes. Many of those who taught or still teaches mathematics, faced with a similar situation. The fact that at a particular moment is not interesting in the framework of the current stage of learning, becomes understandable and even fascinating after the passage of curious now. Of interest can develop from the need for a certain type of knowledge. If you are fond of artificial intelligence, you immediately understand where a linear algebra, probability theory, etc. come to. Try to focus within the allotted time interval only on one topic. It is better to switch between global areas, and non-adjacent mathematical concepts. 4. Do not strive for something specially remember In memory it is the material that you constantly use. It will be worth it to recall once again that training does not apply to those things that are made with one volitional effort. If you do at least gradually every day, the brain perceives the studied not as a random event, but as the material necessary to facilitate life. This leads to a more successful mastering of the material than the intentional memorization. If the reference material is needed, for example, a selection of formulas, use thematic directories. Including briefs - the same cribs that are easy to find on request "[learned theme] Cheat Sheets. 5. Constantly decide the tasks To teach mathematics, you need to solve problems. And, of course, it is better if it will be tasks that sobfully decide. On the brilliant.org. A colossal work has been done to collect materials from various mathematics areas presented in various styles of presentation. If the task is not a long time to resolve, leave it, and let's start again later. Return to it until you decide, but do not give too much time at a time. At some point, the brain will be trained in other tasks to solve more complicated. If you feel that I went to a dead end, do not hesitate to ask for help, including on the Internet - in those who still teaches mathematics or is already an expert. Seeing the situation with other eyes, you will open unfamiliar sources of approaches to the solution. 6. Make breaks, rest and feel right Do daily, but not too long in a row, take breaks. Observe the balance of mental work and recreation. Do not neglect the gear and switching thoughts to other things. At such moments, the brain imperceptibly for you continues to process and assimilate information. It is extremely important to make a workout. Powered to brain tissues tolerate blood, and if the bloodstream is difficult, it is more difficult to learn. Take yourself a rule to warm up every 45-50 minutes: walk around the room, squat, do exercises. In order for blood to be saturated with oxygen, engage in well-ventilated premises. Right and decimal change. Having placed half a day, walk or deal with sports, exercise homework. Having studied a week, travel to relax the countryside. The change in the situation gives a feeling of freshness, gives a new one to take a look at the solid tasks. Do not neglect the power. It must be balanced. Thinking processes belong to the group of the most energy-consuming tasks solved by the human body. You can "motivate" the brain with small snacks after solving a predetermined number of tasks, uniformly breaking meals depending on the number and difficulty of tasks. Consume more polyunsaturated omega-3 fatty acids - they directly affect the concentration of thinking and brain activity. Drink enough water. Computer stress. One of the common types of stress for the body is the lack of sleep. Non-ships catastrophically reduce mental performance. Recovery helps not only the night, but also a short sleep during the daytime. 7. Play For those who teach mathematics, there are many means for game game. Among the most famous - Variant Video Games: Limits and While True: Learn (), learning in which it occurs through the solution of puzzles. 8. Watch video When studying mathematics, it is important to be in a continuous thinning thread. New visual abstractions and solutions can be learned from viewing videos on various mathematical themes. 9. Enter a structured abstract Make records so that the lectures have been obtained, according to which one who does not understand the topic could learn. A good methodological solution for the conduct of the abstract is an approach that can be called in the first letters as blood pressure: analogy, diagram, an example, explanation, term. 1 analogy. First, ask the question: did I see something similar to me earlier? For example, the concept of electrical resistance is similar to the concept of fluid movement in the pipe. Tie the knowledge gained with those known earlier, turn them on in the existing picture of the world. The memorization of associations occurs more efficiently, while separate knowledge, our internal system of "cleaning garbage" removes the first. 2 diagram. Visualize concept. Before your eyes, a specific image should appear to which you can rely on further reasoning. This can be a drawing, list of elements, table, Mindmap, etc. 3 example. Consider a specific example of using the concept, try solving the task, get the first experience in the use of material. 4 Description. Describe the concept in your own words: what it is and for what is needed. 5 term. Finally, give a strict technical definition that connects the concept with other terms. This formalizes an understanding and will communicate with specialists in one language. In writing the abstract, write and draw, but do not print. Using Motorika stimulates our creative activity and allows the brain to better absorb the material. If you are afraid of losing records, scan them. 10. Clean the peak moments The following advice will be useful for those who have difficulties with the "local" motivation, that is, students who are difficult to conduct classes systematically, with the same frequency. Making a break on rest, do not strive to come to the logical conclusion of the topic of the topic. Fully use the specific time you decide to spend on occupation, but as soon as it has expired, immediately discharge. The ideal option is to come to the peak of the subject of the topic. This Council is based on several psychological prerequisites. Firstly Classes in this form have a strictly defined framework. You do not exhaust yourself and do not spend too much time. And, it means that you will refer to the classes more inspisitly. Secondly You will be easier to enter the working rhythm, starting the next lesson. Slightly refreshing knowledge, you can quickly adjust the brain for new activities. In the case when the beginning of a new topic coincides with the beginning of the lesson, additional efforts are required to be performed. This is the most difficult place that is better to take with overclocking. Thirdly When you acquire a habit to regularly reflect on mathematical abstractions, this approach will allow to develop mathematical intuition. Despite the fact that you interrupted the occupation, the brain will continue to work and builds a logical chain of reflections independently, without the support of educational material. 11. Make a corrected curriculum What is measured, it is improved. Make a curriculum with checkpoints. Such frames increase concentration. You, as it were, become your own leader who issues instructions. At the same time, those who teach mathematics, and those who teach. 12. Do together and learn others Many scientific research has proven that teaching and joint classes allow you to better learn the material. To bring some thought to another person, it needs not only read, but also to realize. This gives additional motivation, as it imposes obligations on you. Working in a bundle with a friend or student, both it becomes easier to motivate yourself to periodic classes. In the extreme case, you can become a listener. Explain the topic from the beginning and to the end of the imaginary student. You will see that from this angle of view you were able to realize her more deeply. This approach obliges to understand all obscure places.
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