Current location - Training Enrollment Network - Mathematics courses - How to effectively review and sort out mathematical knowledge points
How to effectively review and sort out mathematical knowledge points
Mathematics is very logical, knowledge is often scattered in different stages, and students' understanding of this knowledge is easy to be separated. On the basis of stage learning, it is necessary to systematically sort out and review the contents of various fields. Sorting and reviewing is to combine the knowledge of independent professors at ordinary times, and to link the regular knowledge by means of reproduction, sorting and induction, so as to deepen students' understanding and exchange of knowledge, which is particularly important. It is different from both new teaching and practical class. Its basic task is to organize knowledge and make it systematic, clear and extensible.

Its important feature is that under the guidance of the system principle, the learned knowledge is systematically sorted out to form a relatively complete knowledge system, which is conducive to the systematization of knowledge and the grasp of its internal relations, and is convenient for integration and mastery, so as to sort out, train, expand and develop in an orderly manner and really improve the review effect.

How to review and organize effectively?

First, comb and summarize, communicate and lay a solid foundation.

Basic knowledge and skills are the foundation of mathematics learning, and high-rise buildings with innovative ability must be built on a solid double foundation. Only with a solid mathematical foundation can students innovate. Teachers should guide students to review and organize, so that students can communicate with each other on the basis of their usual study. When reviewing and arranging, we should give full play to students' main role on the basis of double basics, guide students to organize their knowledge independently, form a knowledge network and experience the systematicness of mathematics.

However, in this learning process, we must pay attention to two problems: First, because primary school students are limited by their knowledge structure and ability level, the tangent point of the knowledge content that students want to sort out and communicate must be small and precise, and the learning requirements put forward should be clear, so that students can sort it out better; Second, teachers should give some help when sorting out students. Although the students' arrangement is incomplete or rough, the teacher should give full evaluation and combine the students' arrangement to sum up a more reasonable knowledge network diagram.

In the usual study, some students may not pay enough attention to the understanding of basic concepts, and some students may be somewhat vague in understanding the rules. For confusing knowledge points, teachers should guide students to understand with concrete examples in time, so that students can remember them on the basis of understanding; At the same time, for the basic knowledge that students have mastered skillfully, students are required to strengthen their understanding, clarify the relationship between knowledge and distinguish the differences between similar knowledge points, so as to better master the basic knowledge. If students only mechanically remember the concept of obtuse angle, and only remember that the angle greater than 90 degrees and less than 180 degrees is obtuse angle, then they will think that "obtuse angle greater than 90 degrees" is correct without accurately understanding its connotation and extension. For the law of quotient invariance, "the sum of divisible numbers is divisible by the same number (except zero) at the same time, and the quotient remains unchanged." Students often ignore the exception of 0, which will also affect the study of the basic nature of scores.

Second, train reasonably, improve ability and develop thinking.

On the basis of review and arrangement, it is necessary to consolidate students' knowledge through reasonable training. Only through reasonable training and feedback can the problems existing in students' learning be exposed, and training can exercise students' ability to apply existing knowledge to solve specific mathematical problems. Students have certain basic knowledge and skills of mathematics in review and arrangement, so in the consolidation and application training, we should first cultivate students' application consciousness, so that they can learn to use existing knowledge and common problem-solving strategies reasonably to solve mathematical problems. To consolidate the use of training, we should pay attention to the rationality of training amount, which requires teachers to select exercises in training, pay attention to the innovation of exercises, and at the same time appropriately strengthen the interest and life flavor of training questions, so as to stimulate students' interest and adjust their psychology.

From the teaching practice, sometimes some math problems with certain thinking difficulties will arouse students' desire to explore. Stimulating students' interest and enthusiasm in learning is not only a normal teaching method, but also an important teaching method in review: that is, by creating situations to stimulate students' excitement in learning, it can also make students feel fresh in review, so as to devote themselves to review with a positive attitude and avoid the boring atmosphere and all-encompassing "fried cold rice" review method in the previous review class.

Mathematics is the gymnastics of thinking, and thinking activities are the characteristics of mathematics. No mathematics teaching activity can be short of thinking activity, and review class is no exception. Therefore, in the whole review process, teachers must aim at cultivating students' thinking ability and pay attention to the development and improvement of students' thinking ability. In the process of developing and improving students' thinking ability, teachers should pay attention to cultivating students' flexibility and innovative consciousness in solving problems. To cultivate students' flexibility in solving problems, many problems can be solved by one question. For example, in solving problems, "How long is a 5-meter-long iron wire weighing 250 grams and a bundle of 2500 grams?" Sometimes, students may first find the weight of each meter of wires, then find the weight of this bundle of wires, or find the length of each gram of wires, then find the length of this bundle of wires, or find the length of wires according to the ratio of weight to length. In this kind of training, students can experience the flexibility of solving problems and develop their thinking ability. At the same time, the training of multiple solutions to one problem can also train students to solve problems in different ways when a certain idea is blocked. In addition, teachers should leave time and space for students to think in class, encourage them to exert their creativity and let their imagination be fully displayed. Let students ask mathematical questions and solve practical problems in life.

Third, cultivate good study habits and improve learning efficiency.

In the review process, we should pay attention to cultivating students' good study habits. Good study habits can not only improve learning, but also benefit for life.

In short, the forms of preparing lessons and reviewing should be diversified, and various methods and strategies should be used to reveal the connections and differences between mathematical knowledge, so as to help students master the relevant laws and understand the essence of things, thus achieving the purpose of preparing lessons and reviewing effectively, enabling students to gain an understanding of mathematics and develop their thinking ability, personality quality and emotional attitude.