How to overcome students thinking inertia in mathematics teaching

(1) Strengthen the study of basic mathematics knowledge.

First of all, high school students should strengthen the learning of the fundamentals of mathematics. For example, the study of mathematical concepts, theories, properties, formulas, definitions, etc., and record them in mathematical notes. And through exercises, you can exercise your mathematical thinking skills.

Through this learning method, we can form a basic knowledge conditioning when facing mathematical problems, transform more complex mathematical knowledge into basic knowledge, and finally calculate the correct answer.

It not only helps us break through the barriers to learning mathematics, but also enables us to lay a solid foundation of knowledge when reviewing basic knowledge, which is conducive to future development.

2) Cultivating mathematical modeling skills.

In the study of high school mathematics, high school students should cultivate their own mathematical modeling ability, and effectively transform the content into knowledge when facing more abstract mathematical problems, so as to obtain correct answers.

At the same time, cultivating our own mathematical modeling ability can also enable us to summarize the actual mathematical problems in the process of solving mathematical problems, and finally build a mathematical problem model in our minds, so as to solve them one by one, and finally get the correct answer. Therefore, we should practice our mathematical modeling skills through a lot of exercises.

However, in the learning process, attention should be paid to using the known mathematical problem conditions to plan the mathematical model in the mind, so as to be able to master the mathematical modeling ability and effectively solve the mathematical learning disability.

3) Overcoming the psychological barriers of high school students.

In the process of mathematics learning, high school students lose confidence in the learning of mathematics knowledge due to the difficulty of the questions and the abstraction of mathematical knowledge, which affects the performance of the college entrance examination and is difficult to be admitted to the ideal university.

Therefore. High school students, in the process of mathematics learning, should continue to encourage themselves, overcome the psychological barriers of mathematics learning, effectively improve their confidence in mathematics learning, and continuously improve their mathematics learning performance. In the learning process, high school students should constantly reflect on their mathematics learning, recognize their own mistakes in the process of mathematics problem solving, so as to change their problem-solving ideas, form new mathematical thinking, and effectively exercise their mathematical thinking ability.

On this basis, high school students can try mathematical reverse thinking, and accurately use counterproof and other problem-solving methods in the process of solving mathematical problems, so as to break through the barriers to mathematical learning. Through this learning method, you can improve your math scores and get the desired math score in the college entrance examination.

Through this monthly exam, it can be found that students lack flexibility when learning to solve problems, and they are not able to make comprehensive use of knowledge and flexibly use the knowledge they have learned to solve problems. This has a certain relationship with the mathematical quality of the students themselves, and of course it is also inseparable from the teaching methods of our teachers. In the past teaching process, we only paid attention to the transfer of knowledge, and neglected the cultivation of thinking quality.

Mathematical knowledge may be forgotten in the future, but the cultivation of thinking quality will affect students' life, and the cultivation of thinking quality is the ideal way to truly realize the value of mathematics education. Therefore, it is imperative to do a good job in cultivating students' thinking quality and making students' thinking get better development.

In teaching, we can improve the flexibility of thinking by cultivating "divergent thinking". The cultivation of "divergent thinking" proposed by the American psychologist Guilford is the cultivation of thinking flexibility. Divergent thinking is necessary to understand the teaching materials and apply knowledge flexibly, and it is also the ability to meet the information age and adapt to future life.

To cultivate "divergent thinking", students should be guided to diverge in their solutions to problems. In the teaching process, we use a variety of methods to seek answers to questions from different angles and different ways, and use multiple solutions to one problem to cultivate the flexibility of students' thinking process. It can also guide students to diverge from the conclusions of the problem.

Divergence of conclusions means that there are no ready-made conclusions after the known conditions have been determined, and students are asked to find as many relevant conclusions as possible and solve them.

In teaching, we can also use flexible and novel teaching methods to explore and flexible and solid learning method guidance. The teacher's teaching method often influences the student's learning method. For example, an engaging introduction of teaching can stimulate interest and enthusiasm for learning.

With novel and changeable teaching methods such as "creating situations", "narrating stories", "using contradictions", "setting up suspense", "quoting famous sentences" and "skillful use of props", students can enter a positive state of thinking as early as possible. For mistakes, provide students with the process of solving the wrong questions, and let the students play the role of the teacher to correct the homework. From another perspective, we will examine the students' knowledge mastery, find out the causes of mistakes, and deepen their knowledge mastery.

There are also example problem variants, starting from the example problem, changing the conditions to find the difference in the conclusion; Transform the conclusion to seek differences in the conditions; Change the context of the question and seek multiple solutions to the problem; Change the thinking angle of the problem and seek multiple solutions to one problem; ......"Change" is used to cultivate students' flexible thinking. In addition, prepare a test paper, list the knowledge points to be examined, the key points of the test, and the types of test questions, so that students can prepare a test paper by themselves and give answers. Let students experience the psychology of solving questions from the teacher's point of view, and better grasp the knowledge structure and way of thinking.

In addition, write post-school reflections, reflect on the learning process and write it out according to the learning experience, problem-solving experience, examination experience, etc., and read it often in the future, so as to motivate students to be good at summarizing and cultivating good thinking quality.

First of all; Teachers need to be flexible.

1. The habit of listening attentively. Do a good job of preparing for the class (not just reading it, but be able to ask questions), use your brain and hands, and concentrate during the class (notes are sometimes very important). Generally speaking, the knowledge taught by the teacher is carried out according to the syllabus and examination syllabus, so it is important to pay attention in class.

2. The habit of making a plan that is actually feasible. Learn to set goals for yourself (big, small, long, short) in learning, so that there will be a direction for learning; Then sort out your own learning situation, find out the weak links, existing problems, and knowledge points that are easy to lose points; In addition, allocate time reasonably, formulate learning tasks in a targeted manner, and implement them one by one.

3. The habit of continuously improving learning ability. You can learn to master the ability of speed reading and memorization, and improve the efficiency of learning and review. Speed reading and memorization is an efficient learning and review method, and its training principle is to activate the potential of "brain and eye" and cultivate the formation of eye-brain direct reflection reading and learning mode.

For the practice of speed reading memory, see "Elite Special Whole Brain Speed Reading Memory Training", practice with software, more than an hour a day, a month's time, you can double the reading speed, memory, comprehension, etc., and finally improve the efficiency of learning and review, and achieve good results. If your reading and learning efficiency is low, you can practice it well.

4. The habit of integrating knowledge points. Classify the information you need to learn and the knowledge you need to master, and make it into a mind map or knowledge point card, which will make your brain and thinking clear and easy to remember, review, and master. At the same time, learn to connect new knowledge with what you have already learned, and constantly integrate and improve your knowledge system.

This promotes understanding and strengthens memory.

5. The habit of doing questions and reflections. When doing problems, you should learn to reflect, classify, and sort out the corresponding solution ideas. When you encounter the wrong questions (carelessly do it wrong, you can't do it), it is best to collect these wrong questions, and each subject has an independent set of mistakes (the set of mistakes should be classified), and when we review before the exam, they are the key review objects to ensure that there are no more mistakes and points on the same questions.

To learn mathematics, you must first learn Chinese; To learn arithmetic, you must first be able to read; Use your hands, but even more so with your heart – faith, care, patience, perseverance, none of them are missing.

1. Arrange time reasonably and solve problems independently Laziness in learning is often inseparable from casual life. Developing a regular rhythm of life is the first step in correcting laziness. People who have an orderly daily life will not procrastinate and get tired of doing things.

Dependency is a lazy vassal, and to overcome it, you have to advocate for doing your own thing on multiple occasions. For example, solve a math problem independently, prepare a speech independently, and deal with others independently. 2. Stimulate interest in learning, cultivate the interest of diligence style is the driving force of diligence, a person is interested in something, he will take the initiative to invest, eliminate laziness.

One of my classmates was not interested in textbook learning, so he spoke casually and made small gestures in class. I contacted my parents through ** and learned that he is very caring for small animals and likes to raise small animals. Therefore, he deliberately let him show his expertise in front of students, and often let him introduce his experience of raising animals to satisfy his desire to perform.

Because his interests are properly guided, he is not only active in extracurricular activities, but also very serious in other classes. Learning laziness is a bad habit of behavior, and it also reflects a person's attitude and concept towards life and learning. Therefore, it is necessary to help these students realize that diligence is an indispensable virtue of human beings.

Diligence can improve one's studies, and diligence can make people successful in their careers and happy in life. A hard-working person has more joy in life than a lazy person. 3. Strengthen physical exercise and learn to affirm yourself Some students are lazy in learning due to physical weakness or illness, which makes it easy for the body to fatigue and make it difficult to sustain learning.

They should be encouraged to participate in more physical activity, improve their nutrition or be active** to enhance their physical fitness. Some students always feel that they are inferior to others and often magnify their shortcomings, so I pay attention to guiding them from the front, so that they can bravely turn their shortcomings into motivation for hard work. When studying and working, we must devote ourselves to striving for the most satisfactory results.

Whatever the outcome, see the side of your efforts. If the change method is not done well, the explanation is either not familiar with the technology, or some aspect of the learning needs to be improved. Encourage them, and your solid learning will eventually make you successful.

Finally, proper incentives are also a magic weapon to solve laziness. I think it is impossible to let students overcome laziness in one step, this process may be an iterative process, to see the hope and strength, to constantly discover the progress made by students, to give praise and encouragement in various ways, so that they can experience the pride and joy of success, but also let them record themselves to help their own strengths continue to consolidate. There are many reasons for learning laziness, and it is necessary to flexibly adopt different correction methods according to different causes.

Therefore, the lazy behavior in learning cannot be changed overnight, and these students should be encouraged to persevere, so as to correct the lazy behavior of learning. Overcoming laziness, like any kind of bad disease, is a difficult thing. But as long as you are determined to break up with laziness and persevere in the actual life study, then.

The bright future belongs to you!

Abstract:The theory of educational psychology believes that thinking is an indirect reflection of the human brain's generalization of the essence of things and the regular relationship between things.

Thinking is the core component of cognition, and the level of development of thinking determines the structure and function of the entire knowledge system. Therefore, it is of great significance to develop the thinking potential of high school students and improve the quality of thinking. The quality of thinking mainly includes the flexibility, expansiveness, agility, profundity, originality and criticality of thinking.

Flexibility of thinking is a good quality that is built on the breadth and profundity of the mind and provides a guarantee for mental agility, originality and criticality. In people's work and life, it is easy to do things according to the rules, but it is difficult to pioneer and innovate, and the difficulty lies in the lack of flexible thinking. Therefore, the cultivation of thinking flexibility is particularly important.

The flexibility of thinking refers to the degree of flexibility of thinking activities, which refers to being good at looking at things that have changed from a new point of view in a timely manner according to the development and change of things, and putting forward new ideas, new solutions and new methods to solve problems in line with reality. The flexibility of students' thinking is mainly manifested in: The flexibility of the starting point of thinking:

Able to quickly determine the direction of thinking from different angles, different levels and different methods according to new conditions. Flexibility of the thinking process: the ability to flexibly use various laws, axioms, theorems, laws, formulas, etc., from one way to another.

I think we can cultivate it in the following ways.