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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 using speed reading memory 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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If it's not ideal, you can go to extracurricular tutoring.
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Don't do math blindly, don't think that you can do well in the test if you do too many questions, that is also a waste of time, some question types will be done, and blindly repeat, a waste of time, in order to consolidate and master the questions.
1.It is not enough to be proficient in memorizing theorem formulas, you must be able to deduce them skillfully, know the ins and outs, know the principle, 2 For the problems you have done, you should be good at induction and summary, although the form of the problem is different, but it is still a category, after learning a question, you must be proficient in other various deformations, you must learn a class of questions, not a question, so that you can skip when you encounter such exercises, 3 After learning a chapter, you must have a clear context, which should not be scattered knowledge points, and the superposition of one question after another.
4. Learn to compare and analyze independently, and don't ask for help when you encounter a problem that you don't know.
5 Establish confidence, believe that you can learn well, 6 do not waste time on the questions that you will not do during the exam, you will lose it, you will not be able to others, you must ensure that you will do it right, it is very important to be careful, and you must review the questions.
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