High school mathematics learning method

One, have a good learning interest

More than two thousand years ago, Kong Zi said: "know the person is not as good as the good, good person is not as good as the music of the person." Saying, do one thing, know it, understand it better than love it, love it as happiness within. "Good" and "happy" is willing to learn, like learning, this is the interest. Interest is the best teacher, are interested in can generate interest, love it to practice it, to enjoy, there are only interested in forming the initiative and enthusiasm for learning. In mathematics learning, we put this from spontaneous sense of pleasure to rise for the conscious rational "understanding" process, which will naturally become determined to learn mathematics, mathematics learning to become a successful person. So how can we build a good learning interest in mathematics?

1 preview before class, to learn the knowledge of doubt, produce curiosity.

2 lectures in order to cooperate with the teacher to give lectures, to meet the excitement of the senses. Lectures focused on solving the questions in the preview, the classroom teacher questioning, pause, AIDS and model demonstration are regarded to appreciate music, timely answer the teacher classroom questioning, thinking and teacher training, improve the mental, the teachers' evaluation of your questions, to encourage learning motivation.

3 think about problems, and explore the potential of your study.

4 lectures to pay attention to the teacher to explain the mathematical thinking, ask why to think so, how to produce such a method?

5 concepts to return to nature. All disciplines are induction arising from the practical problems and mathematical concepts also return to the real life, such as angle of concept, Cartesian coordinates, polar coordinates are from the abstracted from the real life. Only the return to reality can make the understanding of the concept of practical and reliable, in the application of the concept of judgment, reasoning will be accurate.

Two, develop good learning habits.

Establish a good learning habits, will make their own learning and feel orderly and relaxed. The good habits of high school mathematics should be: more questions, diligent thinking, good practice, heavy induction, pay attention to the application. Students in the process of learning mathematics, teachers should be taught to translate the knowledge into their own special language, and permanent memory in their minds. Good learning habits of mathematics, including the class before the self-study, concentrate on class, review, independent work, solve the difficult, systematic summary and extracurricular learning. To make their own mathematics learning habits in mathematics classroom learning to adapt to the various aspects of.

Three, in time to understand and grasp the common mathematical ideas and methods

To learn high school mathematics, we need to master it from a high degree of mathematical thinking and methods. Middle school mathematics learning to focus on the mathematical thinking of the above: a collection of ideas, classification and discussion of ideas, the number of combination of ideas, ideas, ideas, transformation of ideas. Mathematics thought, but also master the specific methods, such as: change element and the undetermined coefficient, mathematical induction, analysis, synthesis, reduction to absurdity and so on. In the concrete methods, it is commonly used to observe and experiment, association and analogy, comparison and classification, analysis and synthesis, induction and deduction, general and special, finite and infinite, abstract and generalization, etc..

1, pay attention to the transformation of thought learning.

People learning process is to use the knowledge to understand and solve the unknown knowledge. Mathematics learning process is the old knowledge elicitation and solve new problems, when new knowledge reuse it to solve the update knowledge. Junior high school knowledge is the foundation, if the new knowledge with the old knowledge to answer, you have the idea of transformation. Visible, learning is to constantly change the transformation, continue to inherit and develop the old knowledge.

2, the Institute of mathematics teaching materials of mathematics thinking method.

Mathematics thought method of learning mathematics teaching material. Mathematics teaching material is the way to use the means of disclosure to dissolve the mathematical ideas in the mathematical knowledge system, so it is very necessary to sum up and summarize mathematical ideas in a timely manner. Generalization of mathematical thinking can be separated into two steps,: one is to reveal the law of mathematical thinking and content, is mathematical objects which have properties or relations extracted, the second is clear mathematical thought and method of knowledge connection selected to solve all of the framework. The implementation of these two steps can be carried out in the classroom and extracurricular self-study.

Classroom learning is the main battlefield of mathematics learning. Teachers in the classroom through the explanation, the decomposition of teaching in the mathematical thought and mathematical skills training, so that high school students learning that has been gained a wealth of mathematical knowledge, research activities of teachers, textbooks mathematical concepts, theorems and principle of get the greatest degree of understanding, digging. In the teaching of the opposite number of junior middle school, teachers' classroom teaching often has the following understanding:

From the angle of definition for opposite number 3, -5, the opposite number is the number is _____.

From the perspective of two axis: what is said the number of opposite number. (point of origin)

From the perspective of absolute value: the number two is the absolute value of _______ opposite number.

The sum of the number two zero opposite number?

These different angles of teaching will broaden the students' thinking and improve the quality of thinking. Hope students to grasp the main battlefield of this study in the classroom.

Solving mathematical problems, we should also pay attention to the problem of problem-solving thinking strategy, often to think: choose what angle to enter, should follow the principle of what. Often used in high school mathematics mathematical thinking strategy: simplifying, combination of number and shape, advance interoperability, are cooked, reverse, reversing phase, dynamic and static conversion, points and auxiliary etc..

Four, and gradually form a "I give priority to" learning mode

Mathematics is not by the teacher of the church, but under the guidance of the teacher, by their active thinking activities to get the. Mathematics learning to actively participate in the learning process, to develop the scientific attitude of seeking truth from facts, independent thinking, the courage to explore the spirit of innovation, treat correctly learning difficulties and setbacks, defeat is not hungry, to win without pride, develop enterprising, indomitable, frustration tolerance excellent psychological quality; in the learning process to follow the principle of cognition, good brains, and actively take the initiative to find the problem, pay attention to the intrinsic link between the old and new knowledge, not satisfied with the existing ideas and conclusions, often many solutions to a problem, a problem, changing, from the multi lateral and multi angle thinking, the essence of the problem of mining. Learning mathematics must pay attention to "live", not only do not read, do not only in summary nor accumulated. Knowledge of textbooks should be able to drill into, and can be able to jump out, combined with its own characteristics, to find the best way to learn.

Five, for their own learning situation, to take some specific measures

Note the mathematical notes, in particular, the different aspects of the understanding of the concept and the laws of mathematics, teachers in the classroom to expand the extra-curricular knowledge. Recorded in this chapter, you feel the most valuable way of thinking or examples, and you still exist unsolved problems, so that in the future will be the.

Set up a mathematical error correction. Usually prone to false knowledge or reasoning records, in case of repeated. Strive for: machigai, error, error correction, error analysis. Reach: can from the opposite side of in-depth understanding of what is right, by moon fruit for the wrong reasons to get to the bottom of it, in order to suit the remedy to the case; answer problem complete and logical reasoning.

Memorize some laws of mathematics and mathematics conclusion, make oneself peacetime operation skill to automation or semi automation level of proficiency.

Often structure of knowledge to sort out, form a plate structure, the implementation of the whole container, such as table, knowledge structure at a glance; often exercise class, as an example to a class, by a class to multi class, by multi class to unity; make several inductive problem in the same knowledge and methods.

Reading Mathematics extracurricular books and newspapers and periodicals, take part in the extracurricular activities and lectures of mathematics, do more math problems, increase the strength of self study, and expand their knowledge.

Timely review, strengthen the understanding and memory of the basic concept of knowledge system, the appropriate repeated consolidation, the eradication of pre school forget.

Learn from the multi angle, multi-level classification. Such as: from the mathematical thinking classification from the problem solving methodClassification from the knowledge of the application of classification, so that the knowledge of systematic, structured, thematic, network.

Often after doing exercises for certain "reflection", think about ontology based knowledge, mathematical way of thinking is what why should think so, whether there are other ideas and solutions, ontology analysis method and solution, the solution of other problems, whether used.

Whether homework or test, should put the accuracy in the first place, in the first place, rather than blindly to the pursuit of speed or skill, this is an important issue to learn mathematics.

To rise to the study of mathematical ideas and methods

In a simple way, the thought is the method in the method, the method is the concrete realization of the thought. Thought within the unity of all kinds of methods, is the embryonic stage of the method; the method must be guided by the thought of the rule, it is the concrete realization of the thought. Based on the dialectical unity of thought and method, here I will combine the study of the basic knowledge of mathematics, together with the study of mathematical thinking and methods.

Predecessors have summarized and discussed a lot of mathematical ideas and methods, and now the problem is how to put these people's thinking and methods into their own thinking methods.

A large collection of finishing

A large collection, sorting out a variety of mathematical methods, the network, books on the. The problem is the way of thinking is endless, this collection and finishing stage to when to end? A judgment method is repeated, repeated to a certain extent can not overdo sth.. We can also judge the universality and importance of mathematical thinking method in the degree of

repetition.

Two, preliminary classification summary

According to a certain standard, according to the preliminary classification summary, forming a general system network framework. The following is to elaborate.

According to the application field can be divided into: mathematics research method, mathematics study method, mathematics teaching method. According to the degree of generality, it can be divided into: philosophical methodology, general scientific methodology, specific scientific methodology. The mathematical method contains at least three fields and three levels. They are related to each other, and they are transformed into each other. We must first grasp the relationship between them by means of a preliminary summary of the classification.

If the abstract and summary, induction and deduction, classification and classification, comparison and analogy, analysis and synthesis, which can be considered is the philosophical methodology level can also be considered is general scientific methodology level, between the two only a very fine line, if you stand in the height of philosophy to reflect argument described. It is a philosophical methodology; if you focus on how in science on the concrete application of perfection, it is a general scientific method theory.

Abstraction and generalization in mathematics mainly for idealized and model method; induction and deduction in mathematics mainly for mathematical induction method and the axiomatic and formal methods; comparative and analogy in mathematics is a very important mathematical conjecture; in fact, a variety of mathematical methods are a combination of various philosophical method and not like performance above that simplification and linearization. Such as axiomatic and formal methods are mainly included in the deduction, abstract; mathematical model is also included in the abstract, classification, interpretation, and calculation.

Preliminary summary is as follows:

The fundamental thinking method of Mathematics

1 abstraction and generalization: idealized method, model method

2 induction and deduction: mathematical induction, axiomatic method, formal method

3 Comparison and analogy: mathematical conjecture method

4 Analysis and synthesis: analysis and synthesis

5 Classification and classification: equivalence partition method, classification discussion method

Mathematical thought and method

1 set thinking method:

2 mapping thought method: correspondence, function, RMI (relationship mapping principle)

3 other ways of thinking: the transformation of the method, the construction method, the recursive method, the iteration method, the combination of number and shape, Fang Chengfa

4 mathematical methods: apagoge, change element method, the undetermined coefficient method, distribution method, elimination method, the factorization method

Although it is exhaustive, but mentioned are important.

Three, break the mathematical foundation

Modern mathematics has a lot of attractive theory, often want to in-depth learning, always feeling foundation is weak, difficult to progress, was unable to move feeling. Must in every stage of learning the basic knowledge of mathematics, the main focus on crush one by one. Through relatively simple basic knowledge of learning to understand master to summarize the common mathematical thought and method, by doing mathematics to school mathematics. In the process of doing mathematics in order to deeply understand the experience of mathematics thinking method, only through this process can make other people's mathematical methods into their own thinking method.

Four, and gradually improve the optimization

To gradually formed their own way of thinking theory system, to all kinds of thoughts and methods of mastery, systematic step by step, networked, rich. This must be required to strengthen their own philosophy and mathematics. To through a variety of channels, select some of the relevant master of the classic original to read. "My taste all day and think Yi, as a moment later learned""listening to the remarks Jun, wins read books for ten years", only read master classic original can play such a role and effect. In addition, but also continue to combine to do mathematics.

Introduction to learning methods

The learning method is directly related to the problem of learning effect.

Learning problems can be broken down into what and how two problems, namely, what to learn and how to learn the two issues, namely the content of the problem and learning methods. The problem of learning content is the direction of the problem, the fundamental problem.

Specific learning content determines the specific learning method, which is the first principle of learning problems. Realistically, all from a practical point of view, specific issues specific analysis,

homogeneity of contradictions, only with homogeneous method to solve, decided to learn from the object of learning methods, these are the philosophical basis of the first principle of learning. World no one size fits all, once and for all of the common approach to learning, generally things only is principle problem, it can only play a guiding role and need flexibility in practical use, or can only be Handan toddler, mechanically, cutting adequate shoe, dogmatism, bookishness, not profit, boomgeranged. Learning process, we should from the particularity summarizes common things, from the particularity of the profound experience of the common things, constantly summed up specific learning methods, profound experience learning theory, and use the specific guidance of learning. Direct reference to the learning theory of educational psychology, we can guide us to summarize the specific learning methods to provide a lot of useful help.

On the other hand, we must be good at summing up the experience and lessons learned from others. In some specific areas, there have been a lot of people give us points out the learning content, and some specific learning methods, we must absorb as much as possible, as we have no necessity, it is impossible to own all summed up, a beginner life time, energy and wisdom, how the enemy all professional life time, energy and wisdom. A dwarf standing on the shoulders of giants is taller than the giant. Here how to put others into their own things, it becomes a key problem, which is a profound understanding and experience of the process, summed up on our own their own way of thinking, also experienced the process of a profound experience?

Finally, to make their own learning theory and learning methods to gradually systematic. Gradually integration of other people's things and their own things, and gradually systematic. First step is to collect other people's learning method, the second step is featured some of you have to sympathetic to deeply understand the use of, the third step is its own specification language to express his own method of learning.

How to learn junior high school Chinese

Language is an important tool subject, it is the basis of human language, so it is very important to learn Chinese well.

To learn Chinese is the most important is to cultivate interest. Students think Chinese is a very boring subject, poor flexibility, knowledge is too dead. In fact, the characteristics of the main languageTo have three: one is open. The extension of Chinese language and life are equal, any content of life is not separated from the language, as long as the conscious study, in any occasion of life can learn chinese. Therefore the Chinese has the most convenient to study the prominent characteristic. Two is emotional. "The article is not a heartless thing." Not only the article, even our nation's words are full of emotional color. Teachers with emotional teaching, it is possible to teach well; students with the feelings of learning, it is possible to learn. Leave the emotional factors to simply learn knowledge, is one of the important causes of Chinese students to school. Three is flexibility. The knowledge system of the Chinese subject is not as linear or chain like as other subjects, but the spiral rise. So step by step, learning Chinese is not very strict, from the shallower to the deeper, is relative. Learning Chinese can not engage in self closed, mechanical rigid learning.

So, how to better grasp the subject of Chinese?

First, learn the textbook knowledge.

Textbook knowledge is the basis of language, lay a good foundation to learn it better. A lot of students think that as long as the class to concentrate on listening, diligence notes, after class to complete the homework, coupled with the conscious review, you can improve the results. In fact, this is not enough. The most important stage of learning is preview. That is to say before the teacher in the class, you first have to own learn about the text, in preview to try to use you have to get the knowledge and methods to actively solve the problems you can solve, write down do not understand the problem, in the class with the teacher, the students to study and discuss together. Textbooks should be repeated until the problem to see a thorough, clear. In order to consolidate knowledge, you'd better do some exercises in class, knowledge will be more solid. This is not only a good learning effect, but also cultivate their ability to learn.

Two, pay attention to the accumulation of extra-curricular.

Knowledge is like the ocean, the knowledge in the textbook is only a spray on the sea, it is far from meeting our needs, so appropriate extra curricular reading is necessary. Entered the intense study stage, we can not have a lot of spare time to read, therefore, to have a choice of reading. We should be widely read all kinds of books and newspapers and magazines, from television, radio, network access to information, and organized to do under the notes. To care for the social life, to understand the social dynamic, so that their ideas to continue to progress. This will not only enable us to accumulate more knowledge, but also enrich our lives.

Three, to strengthen the writing training.

An important purpose of our study is to write. Improve writing ability to start from the bit by bit. Extracurricular accumulation is the basis for writing, to learn how to read the article, wonderful chapter is best to recite. If the empty stomach, is not write good articles. In addition, pay attention to the observation of life, understanding of life, constantly keep a diary, lacked.brother write essays are effective ways to help us write a composition. Written composition to be repeated, you can also ask the teacher, the students' opinions, and strive for perfection.

Hope you can establish a correct learning objectives, master the basic method of learning, from now on, insist for a long time, the accumulated power, are ripe for effect.