How can I diverge the mathematical thinking of junior high school students?

Learn the mathematical methods of analysis, guide students to learn to analyze problems, and then teach students to have a certain mindset about some known conditions and what conclusions will be drawn.

When doing the question, don't put an answer next to it, but after you do it, compare it with the answer to see if your thinking process is consistent with the answer, if the method is different, compare it to see which method is good.

Enhance interaction, give a few examples in each lesson, don't turn in the book, as long as these topics include the content and knowledge of the lesson, I am from the past, I know what students need.

Everything in mathematics is connected, just like you said geometric algebra, for example: expressions and images of functions are excellent tools for solving and discovering the properties of functions, so it is necessary to guide students to think differently and explain the concepts of functions clearly, so that they can understand the true meaning of these concepts!

Doing past papers from all over the world will help you exercise.

Try to bring some lessons to the mini-game. Make a little joke or two with your classmates in class, find more extracurricular problems for your classmates to do, and compete to see who can do it faster, and give some encouragement to think of it first, I hope it can help you, our class teacher is like this, and it feels very effective.

Our teachers are all teaching the knowledge in the book in one class, taking one lesson to talk about other problems, and taking us to analyze carefully, inspiring the students to think, the first o(o) in the mathematics grade of our class

Do more questions, buy contest books, find helpful classmates and partners, and they will discuss it with you.

How to improve divergent thinking in mathematics?

Extrapolating from known conditions, e.g., the parallelogram ABCD, whatever is sought, can be deduced from the parallelogram's property theorem

The cultivation of innovative thinking is one of the important tasks of China's education work, and at the same time, it is also a difficult point for China's education work to cultivate students to form certain innovative thinking and innovation ability. If we want to do this job well, we cannot fail to mention the cultivation of divergent thinking. You must know that the so-called innovative thinking is a kind of thinking mode of seeking difference and change, and divergent thinking just conforms to the characteristics of this thinking, so we often say that divergent thinking is the core content of innovative thinking.

So, what exactly are the characteristics of divergent thinking compared to conventional thinking? In fact, divergent thinking was first developed by the American psychologist Jill ? Ford, he argues, is a mode of thinking that generates a variety of problems from the same problem and finds multiple ways to deal with them.

From this definition, we can see that the essence of divergent thinking is to creatively search for different answers without relying on convention. Therefore, if we want to cultivate students' innovation ability, we must first cultivate students' divergent thinking. Mathematics is a compulsory course in junior high school, in the process of mathematics learning, we master a certain amount of mathematical knowledge at the same time, but also to form a certain reasoning, thinking ability, and in this process, as a mathematics teacher, we can use some special advantages of mathematics to train students' divergent thinking, so that students can form a certain innovation ability on this basis.

Expand your mindset.

1. Inductive method. Ask your child to associate food with certain criteria, such as color, shape, material, use, etc.

2. Classify. Classification is carried out on the basis of comparison and induction, which helps the development of the baby's logical thinking. For example, let the baby observe various items in the home, and find out the items made of wood, glass, plastic, and metal materials.

3. Analogical reasoning. Let the child fill in the appropriate figures, numbers, etc. according to the arrangement rules of graphics and numbers, find out the relationship method, and let the child find out the connection between things as required, such as let the child rearrange the ** that is out of order.

5. Find the wrong method. Let the child find mistakes on **, such as a three-legged chair or an upside-down one**.

6. Definition method. Ask your child to define the concept in their own words. For example, ask your child what bowls, furniture, toys, combs, etc. are.

Broaden your mindset.

Painting. The key to painting is not to look good, but to interpret and express the imagination in the artist's mind. It is easy to let children use lines and circles as the basis, spread on their own, and seek different forms of expression on the basis of unity.

Mathematics. Mathematics is not only about numbers, this discipline also includes the following aspects, clarifying the shape of objects, the laws of things, the order of thinking, the understanding of natural common sense, and the expression of life affairs.

Parents and teachers should be clear that children aged 2-12 years old are an important stage of rapid brain development, and this time period is the best period for the formation and expansion of thinking.

Let me start with a question: How many uses does a paperclip have? There are 10 types of people, 100 kinds of people, and 300 kinds of people. So how many uses does a paperclip have?

Today, I would like to share with you a way to increase divergent thinking and imagination and help you answer how many uses paperclips have.

Set up some controversial topics and encourage students to play freely,** and let everyone actively express their opinions.

1. Create a good learning environment so that students can actively participate in mathematics activities.

Modern educators believe that in order to enable students to actively and actively explore and seek knowledge, it is necessary to create a pleasant and harmonious learning atmosphere on the basis of democratic, equal, friendly and cooperative teacher-student relations. Teachers should encourage students to be bold in their opinions, and even if students sometimes speak inaccurately and incompletely, they should be allowed to finish their words to protect students' motivation. The harmonious and pleasant learning atmosphere provides students with the opportunity to fully express themselves, and as a teacher, only by being good at coordinating the interaction between teachers and students can most students have the opportunity to express their opinions.

For example, in a classroom where group discussion is the mainstay, the teacher should carefully design the main knowledge points to be discussed, and appropriately allocate them according to the situation of discussion among students. In such a learning environment, students can not only think independently but also inspire each other, strengthen the development of thinking training, problem analysis and problem-solving skills in the process of completing learning tasks together, and gradually improve the quality of students' participation in learning activities.

Cooperative learning should be carried out as much as possible. Cooperative learning is an important way for students to learn, it is a way of learning in which all students participate in discussions and carry out cooperative exchanges under the leading role of teachers, which can effectively improve the learning environment, expand participation and increase participation. In the learning process, students work together and communicate appropriately with each other to promote the improvement of students' learning ability.

Through cooperation and communication, students can think about problems in different ways, cultivate their sense of participation, creativity, and active learning.

2. Use a variety of teaching methods to enable students to connect mathematics with life.

The human thought process begins with the organ of perspective. The theme maps in the textbook are emotionally appealing, which makes it easy for students to develop a sense of active learning, and stimulates their curiosity and curiosity. Therefore, in the teaching of mathematics in primary schools, teachers should make full use of the theme map to stimulate students' enthusiasm for learning new knowledge, pave the way for students to learn new knowledge, and let students connect mathematics with life.

Mathematics is in life, so that students feel that mathematics is all around them. Therefore, based on students' existing life experience, create situations in life to strengthen perceptual cognition, so as to achieve students' understanding of mathematics.