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In the study of mathematics, the learning of mathematical concepts is undoubtedly the top priority. Nothing can be done. However, this point is another difficult point.
Because many people are poor in abstract thinking, they can't learn dry mathematical concepts well. There will also be some improvement in the use of training tools. To this end, here are some effective ways to learn mathematical concepts.
Specifically, there are six ways to do this:
First, the method of reviewing the past.
Piaget Osuber, a well-known educational psychologist abroad, believes. Conceptual learning is based on existing cognitive structures. Therefore, if some structural changes can be made to the original appropriate concepts in the cognitive structure before learning new concepts, so as to introduce new concepts, it is conducive to the formation of new concepts.
Second, the method of operation.
For the study of some concepts, we can start from perceptual materials and discover the occurrence and development process of concepts in operation. For example, to master the calculation of the area of a ring, it is crucial to understand the ring.
Third, analogy.
For example, when learning "the meaning of multiplication and fractions of a number", you can use the meaning of integer multiplication as an analogy to introduce new concepts. This method is conducive to analyzing the similarities and differences between the two, summarizing the relevant knowledge of the new content, helping us to build a bridge between the old and new knowledge, promoting knowledge transfer, and improving the ability to explore.
Fourth, metaphors.
In order to correctly understand a certain concept, use examples and interesting facts and allusions in life as metaphors to introduce new concepts, for example, when learning "using letters to represent numbers", you can cite examples to explain that letters can represent people's names, place names and numbers; A letter can represent a number or any number. In this way, boring concepts become vivid and interesting, and people unconsciously understand the basic mathematical concept that "letters can be used to represent numbers".
Fifth, the method of doubt.
This method is usually used by the teacher to introduce concepts by revealing the contradictions of teaching itself, in order to highlight the necessity and rationality of introducing new concepts, and to mobilize our strong motivation and desire to teach new concepts.
Sixth, two firsts and two laters.
The so-called "two firsts and two lasts" refers to the preview before listening to the class, and reviewing first and then doing homework. This seemingly simple method of learning can have an unexpected effect.
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I'm just here to ask questions, whether you look at it or not, my answers are here.
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Clause. 1. Pay attention to the mastery of basic knowledge points and the awareness of making up for differences. It is to clarify what knowledge points the teacher talks about every day, and how these knowledge points are used in example problems.
The teacher said that if he had learned before but could not, he should record it in time and strive to be able to do it in the future (mainly because he has no time to review systematically).
Clause. Second, it is necessary to pay attention to thinking and summarizing. The teacher should not only understand the topic, but also think about why he did it.
What else can be done? What knowledge points are used in this question and how are they used? Consistent thinking will definitely improve your problem-solving skills.
For some problems, you should summarize their regularity and be good at categorizing, so that you will not just master one topic, but a class of topics.
Clause. 3. Persist in revision. The so-called correction should be done independently after the teacher has spoken, rather than copying it. Clause.
Fourth, we must have a sense of review. Man is not a machine, and it is impossible not to forget. According to your actual situation, it will be good to review the previous homework for a period of time.
Clause. Fourth, it is necessary to have targeted learning methods. Summarize the deficiencies according to your own situation and adjust the learning method in a targeted manner.
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Listen carefully in class; Don't memorize formulas, rote memorization is easy to forget, and you should accumulate more in your usual practice; To do math exercises, you must learn to draw inferences from one case and master the types of questions; Do more and practice more.
Good luck with your studies to the next level.
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Practice more often, and be flexible in your brain.
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