Mathematics is a very important course. For many people, mathematics is a subject that can be scored. The following is my handwritten report on how to learn math well. I hope it will help you.
How to learn math handwritten newspaper pictures: How to learn math handwritten newspaper materials: 1. Basic links and principles of mathematics learning
Students' study at school is carried out under the guidance of teachers. Classroom learning generally includes four links: first, listening to the teacher's class, which is part of the lecture; In order to digest and master the knowledge taught in class, you need to do exercises, which are part of your homework. In order to further consolidate the knowledge learned and understand its internal relations, it is necessary to remember and summarize, which is part of the review. In order to study more actively in the next class, it is necessary to read the new lesson in advance, which is part of the preview. Each part of these four links has its independent significance and function, and each part is interrelated, influenced and restricted. These four links form a small cycle, that is, the learning cycle. The learning cycle is the trajectory of a learning wheel running for one week. People who are good at learning should find its starting point, end point and intermediate links from the printing of a wheel running for one week, form a four-link stereotyped learning cycle, form a learning system, and let each link fully play its role, so as to achieve good learning results.
The basic process of mathematics learning
When students learn new knowledge independently, they will generally go through the following five basic steps.
The first step is to have a preliminary perception of the change and development process of the things or numbers you have learned.
For example, examine the conditions and processes of things and their existence and evolution; Participate in the demonstration, operation, existence, change and development of the learned knowledge, and then have a preliminary feeling about the learned knowledge.
Contact and preliminary understanding of new knowledge-building perceptual knowledge
Developing new knowledge representation in associative form
Exploring the Internal Relationship between Old and New Knowledge —— Second Perception
Abstract generalization of the essential characteristics of new knowledge-the transformation to rational knowledge
New knowledge in memory-Gong Gu
Applying new knowledge-transforming knowledge into ability
Paying attention to the research on the basic process of students' learning mathematics is of great significance to improving teaching methods, strengthening the guidance of learning methods and improving teaching quality.
Second, the method of learning mathematics
First, thinking: thinking is the core of mathematics learning methods. Thinking is of great significance in learning this course. When solving math problems, we should first observe, analyze and think. Thinking can often find out the characteristics of the topic and find the breakthrough and simple method to solve the problem. Around us, students who really study well have the habit of thinking and thinking hard, so the more they use their brains, the smarter they become, and the more they think hard, the better they become. Because I mastered and used this method, I won the first prize in Wuhan in the national mathematics competition.
Second, give it a try: help digest what you have learned and achieve mastery. I often deduce the formula that the teacher said after class. Don't read, recite. In this way, I can master the formula thoroughly and lay a solid foundation for the deformation calculation of the formula.
Third, cultivate the creative spirit: the so-called creation means to think of new methods, make new achievements and establish new theories. Creation is not limited to the methods and textbooks taught by teachers. Usually, there are some thorny problems. After I understand the methods taught by the teacher, I have to find out whether there are other solutions, which can deepen my understanding of the problem, compare the advantages and disadvantages of several solutions, and make my problem-solving thinking reach a higher level.
What should scientific learning methods pay attention to after class?
First of all, listen to the teacher carefully. This is the main reason why I got good grades. Listen attentively, follow the teacher's thinking, don't be distracted, and don't listen at the same time. Secondly, we should pay attention to every word the teacher says, because mathematics is famous for its rigor, and there are serious differences between words, and there are infinite mysteries hidden between words. Pay attention to taking notes when listening to the lecture. Once the teacher talked about a difficult geometry problem, which I didn't understand at the moment. Fortunately, I wrote down the problem and the solution, thought it over carefully when I got home, and finally understood it thoroughly, so that I easily solved a similar problem in a competition and got a valuable score of 10. Raise your hand to speak actively in class. The benefits of raising your hand are really many! (1) can consolidate the knowledge learned in class. (2) Exercise your eloquence. Those vague ideas and mistakes can be taught by teachers. It's killing three birds with one stone. In short, listening should be done with hands, mouth, eyes, ears and heart.
Second, extracurricular exercises. Confucius said, "Learn from time to time". Homework after class is also an important part of learning and consolidating mathematics. I pay great attention to the accuracy and speed of solving problems. Accuracy means accuracy, concentrate on completing your homework independently, strive to be accurate once, and correct any mistakes in time. And speed is to exercise your concentration and sense of urgency. I often do this. I set the alarm clock at the beginning of my homework and put it out of sight, which helps to improve the speed of my homework. I won't be nervous during the exam, and I won't lose sight of one thing.
Third, review and preview. I plan to review math every night. After finishing my homework that day, I will briefly look at the new knowledge I will learn the next day, and then recall what the teacher said. When I sleep in bed, I will "watch" the teacher's class in my mind like watching a movie. If there is any problem, I will get up and look at it immediately until I understand it. Every Sunday, I will also summarize, review and preview the week's homework. This is good for learning mathematics, and you won't forget it if you master it firmly.
Fourth, improve. After finishing my homework, previewing and reviewing, I will do some rock climbing problems. Doing this kind of problem, thinking independently as much as possible and trying to find out the hidden conditions are the key to solving the problem. If you really can't think of it, you need to look at the reference books and consult your teachers and classmates. In short, seeing more, doing more, asking more questions, being open-minded, diligent and keeping a positive spirit are the key.
Third, mathematics learning guidance
First, form a good guidance of non-intellectual factors.
The so-called non-intelligence factors are psychological factors indirectly related to development reasons. Such as interest, habit, will and personality. As mathematics teachers, we must attach importance to the guidance of non-intellectual factors in order to improve the efficiency of classroom teaching and cultivate new people with all-round development in morality, intelligence and physique.
1. Clarify the purpose of learning and stimulate students' demand for knowledge.
Let students know that the purpose of learning is the best way to stimulate their learning motivation and interest. It can make students have a strong desire to learn and push them to learn actively. For example, if you master the formula for calculating the graphic area, you can lead students to the teaching building and playground of the school to actually measure the area. When students understand the practical application of mathematical knowledge, their enthusiasm for learning will be improved.
2. Improve teaching methods to stimulate students to think positively.
Teachers should adopt various teaching methods in teaching. Stimulate students to think positively. For example, before teaching the cone volume formula, teachers can instruct students to make a cylinder and cone container with equal bottom and equal height. Let each student go home and fill it with sand, and then calculate the weight separately. Ask the students to report the weight of sand in class, and the teacher will randomly say the weight of sand in the cone. At this point, the students are very curious and can't wait to solve the mystery at once. The moment of interest is the time to impart knowledge. Then, the teacher demonstrated the experiment on the spot, and the whole class would concentrate on watching the demonstration, saving time and effort and getting twice the result with half the effort.
Second, the guidance of learning methods.
Mr. Ye Shengtao, a famous educator in China, pointed out: "Teaching is for not teaching." In teaching, teachers must teach students how to learn and give them scientific learning methods while imparting knowledge.
1. Teach students how to read textbooks.
Mathematics textbooks are not only the basis of teachers' teaching, but also the basis of students' learning knowledge. Teaching students how to read textbooks is mainly to teach students how to read textbooks roughly, carefully and accurately. The so-called "rough reading" means browsing the textbook and knowing its general idea; The so-called "close reading" means reading the textbook word by word, studying the contents, concepts, laws and formulas of the textbook, and correctly mastering the format of the examples; The so-called "intensive reading" is to summarize the content. It is best to write the summary words of natural paragraphs and unit paragraphs next to the textbook and memorize them properly on the basis of in-depth understanding of the textbook. In the classroom, teachers can let students conduct self-study and discussion by reading, speaking, discussing and practicing, and ask students to clarify the knowledge system on the basis of mastering knowledge to further improve their cognitive level.
2. Teach students scientific memory methods.
Memory is the basis of students' thinking activities, the main component of intelligence, and one of the necessary abilities for students to acquire mathematical knowledge and complete learning tasks. Memory application of mathematical knowledge is one of the necessary abilities to understand mathematical knowledge and complete learning tasks. The memory of mathematical knowledge should be based on understanding, and the methods to guide students to remember mainly include the following;
Primary school mathematics learning methods
(1) Understanding mnemonics
Mathematical knowledge is ever-changing, so you can't memorize it by rote. Therefore, in teaching, teachers should fully mobilize the enthusiasm of students' thinking and let students remember on the basis of understanding. Like what is a trapezoid? First, through careful observation, let students understand the meaning of "only one set of opposing faces" and what will happen if the word "only" is removed. Through positive thinking, students realize that "only one group of edges is parallel" means that two opposite sides of four edges are a group, one of which is parallel and the other is not parallel. It is easy for students to remember the concept of trapezoid on the basis of understanding.
(2) conventional memory method
Mathematical knowledge is regular, so long as students are guided to master it, they can effectively remember it. For example: memory length, area, floor area ratio unit. Because the propulsion rate between adjacent units in length is 10, the propulsion rate between adjacent units in area is 100, and the propulsion rate between adjacent units in volume is 1000. It's easier to remember when you master this rule.
(3) Image memory method
Primary school students' thinking is mainly visual. For example, in a series of cognitive teaching in one year, the ego uses some physical images to compare numbers: "2" to a duckling, "3" to an ear and so on. This awakened
3. Teach students review methods.
Review is to learn the learned mathematical knowledge again, so as to achieve the purpose of in-depth understanding and firm grasp. In primary school mathematics teaching, review methods mainly include the following points:
(1), summary review
Every time students finish learning a small unit or a big unit, they are organized to summarize the knowledge system, arrange the outline, remember the outline and list the key points to help them master the main content of the unit.
(2), classification review
Guide students to sort out and compare the knowledge and skills they have learned, so as to strengthen the internal connection of knowledge and the depth and breadth of knowledge, and help students deepen their understanding and memory.
(3), the difference between review
Learn similar concepts, rules, etc. , such as differences and comparisons, the characteristics of mastering knowledge. In short, review should, on the one hand, communicate the internal relationship between knowledge on the basis of understanding the teaching materials, find out the key points and keys, and then extract the general situation to form a knowledge system, thus forming or developing and expanding the cognitive structure; On the other hand, it is beneficial to constantly improve and refine knowledge itself through review or from the perspective of mathematical thinking methods.
4. Teach students the methods of sorting and induction.
Organizational knowledge is a major learning method. Primary school mathematics knowledge, due to students' cognitive ability, is often gradually completed in several levels. Therefore, students need to sort out and summarize what they have learned, and form a good cognitive structure, which is easy to remember and use.
Third, the guidance of learning ability.
There are four elements in the composition of learning ability. One is basic knowledge, the other is basic skills, the third is intellectual ability, and the fourth is learning methods. In the past, influenced by coping education, we paid more attention to the first two and ignored the latter two in teaching, so there was a tendency of high scores and low abilities. In order to strengthen the cultivation of learning ability, I strengthen the double-click teaching, attach importance to the cultivation of thinking and memory, especially teach students learning methods.
In the lower grades, training students to use teaching materials should pay attention to the method of guiding observation. The new textbook provides a lot of vivid and intuitive contents such as pictures, straight lines and line segments.
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