How to train mathematical logical thinking and how to improve mathematical logical thinking ability?

1. First, it is necessary to pay attention to the thinking training to start from the beginning, starting from the first grade of primary school, teachers should consciously cultivate students' thinking ability in the process of mathematics teaching.

2. The second is to help students firmly grasp mathematical concepts, especially the meaning of addition, subtraction, multiplication, division, the meaning of fractions, decimal numbers and some basic properties related to them.

3. The third is to promote the development of students' thinking ability in games, and stimulate students' interest in learning through the design of flexible and diverse games.

4. Fourth, it is necessary to strengthen language training, and let students use different narrative methods to narrate, such as allowing students to accurately grasp mathematical terms such as increase, decrease, decrease, improve, and save.

5. Fifth, it is necessary to skillfully design exercises, which can not only achieve the teaching goals, but also cultivate students' curiosity and stimulate their initiative and consciousness in learning.

The methods for developing mathematical thinking and logical skills are as follows:

1. Clarify concepts and establish the integrity of students' thinking. Abstract logical thinking refers to the thinking activities of grasping concepts and using them to form judgments and reasoning logically. Language is the shell of the mind.

Albert Einstein once said, "The development of one's intellect and the method of forming concepts depends to a large extent on language." "The language area is narrow, there is a lack of mathematical language, and their thinking activities have a strong dependence on language.

Therefore, in teaching, it is necessary to pay attention to the teaching of concepts, and explain each concept and each arithmetic clearly.

2. Strengthen training to cultivate students' flexibility in thinking. In order to develop students' ability to solve problems accurately, quickly and flexibly, attention should be paid to the training of self-made problems and multiple solutions to one problem in the teaching of practical problems.

The process of compiling questions is actually the process of cultivating students' initial logical thinking, and the practice of multiple solutions to a problem not only cultivates the flexibility and creativity of students' thinking, but also stimulates students' initiative and enthusiasm for learning.

3. Teach methods to develop the logic of students' thinking. Develop students' initial logical thinking ability to ensure that their thinking is certain and free of contradictions.

It is necessary to strictly abide by the basic laws of logic, and in teaching, it is necessary to choose different teaching methods for different contents according to the logic of the teaching materials themselves, so that students can not only know what they are, but also know why they are so. Teach students to talk about the thinking process and the steps to solve problems in an orderly and well-founded manner, so as to help students master the methods of thinking and improve their thinking ability.

Look for examples in life

For example, what is the theorem that the sum of the two sides of a triangle is greater than the third side? It is a direct corollary of the shortest line segment in the line between two points. Think of a puppy at the apex of a triangular pond, and if you throw a bone at the other vertices, the puppy will inevitably go one way to pick it up, not both.

Another example is the example of three people playing **: Xiao Ming has a question and wants to ask the old man for knowledge. If you tell it, Xiaopang will call ** twice, Xiaopang will tell Xiao Ming the mobile phone number of the old man of knowledge, and Xiao Ming will directly ask to call ** once.

Compared with the previous one, this example also abstracts the trilateral relationship of the triangle into the relationship between three people, which is the embodiment of abstraction ability.

Question-and-answer discussion

There must be a reason for a good solution! Children generally know how to use this good method, but they rarely think about why this method is good for tease, and even Shansui rarely thinks about when to use this method. This is also why children will always "listen to it, and give it up as soon as they do it"!

Parents can ask their children questions about a good way to do this, mainly in two ways:

1. What is the problem of using this method?

2. What are the benefits of using this method?

For example, children know that factoring is particularly useful, but few know what problems factorization is used in or why it is a good method.

In fact, the reason why factorization is easy to use is that it is essentially a decomposition of the number of polynomials, which is a typical descending method, and descending is the most central problem in algebra! As a result, factorization is frequently used in quadratic and above algebraic problems.

Learn to reflect

The process of reflection is the examination of one's own thought process. Through reflection, we can summarize the problems we have done and find out the commonalities and differences of the problems, so that we can apply them flexibly. To teach your child to reflect, here are two small strategies that can be used:

Teacher system: From the questions done in a week, let the children choose the most impressive topics to be the primary teacher and explain them to parents. In this process, the child should first review the whole process of solving the problem and find out the key points. Secondly, it is necessary to organize the language logically in order to speak smoothly.

Finally, this format also boosts the child's interest and confidence.

"Lazy" system: There are many workbooks that classify topics according to topics or question types, and if this classification is only hard brushing, it will form a "tendency" to solve problems in a routine. You can make an "agreement" with your child that if she tells the common points or even the core ideas and methods of these topics in the same type of topic, she can stop doing more such topics.

Parents who are good at this level of mathematics can even pick their own questions, making it more difficult for their children to identify the characteristics.