Thinking is the foundation, knowledge depends on accumulation, and emotion is the key.
Mathematical knowledge is the carrier of mathematical thinking and mathematical emotion. Mathematical thinking and mathematical emotion are the sublimation of mathematical knowledge. The relationship between them is complementary and indispensable.
What is the relationship among mathematical knowledge, mathematical thinking and mathematical emotion? How to integrate teaching as a whole into classroom learning activities? Talk about your experience.
1. To do this, it is necessary to put forward higher requirements for teachers, that is, to truly master and understand the knowledge to be taught, and to innovate or re-understand knowledge is the best understanding of knowledge. After all, science is a process of constant renewal.
Mathematical knowledge comes from real life, and a lot of it is around us. Before guiding students to study and explore independently, in order to make their mathematical knowledge closer to real life, students should consciously collect some perceptual materials and cultivate their inquiry ability. In this way, even if students enrich their perceptual knowledge before exploring new knowledge and prepare perceptual materials for students' further exploration, teachers can also avoid spending a lot of time, energy and financial resources to prepare students' learning tools, thus solving the problem of lack of materials.
2. Let students feel the sense of accomplishment and pride brought by thinking. And a good teacher-student relationship will have a good effect. Teachers care about and care for students, and students will have feelings for teachers, like the lessons you teach, and especially listen to you, so that their interest in learning can be consolidated. On the contrary, teachers are indifferent to students, and students not only have opinions about this teacher, but also affect the study of related subjects. So how can we harmonize the relationship between teachers and students and enhance emotional communication? Caring for students with learning difficulties-teachers should try their best to find their little progress in teaching, praise and encourage them in time, so that students will be encouraged, motivated and study hard. Let students at all levels get the chance of success through hard work and see their progress and achievements respectively.
3. Pay attention to cultivating students' attitude and emotion towards knowledge in the teaching process. If the above two are the premise and process, this is the purpose. Only a scientific view of knowledge and good mathematical literacy can bear new and important fruits. Our education has trained a lot of mathematics talents, but few of them have made achievements, and most of them have acted as the inheritors of education, not the beneficiaries of education. This is the biggest reason. In the teaching process, teachers should take different measures to encourage students to explore and practice according to different teaching contents and characteristics. Learning mathematics in activities, using hands, eyes and brain, is an intellectual process that transforms external action thinking into internal language form. When students begin to do things, the internal language quietly develops their thinking while perceiving things together with vision, touch and motor touch, which inspires students to actively explore and discover laws.
Students should learn to think in teaching. The key to learning to think is to master the correct thinking method, which is the core content of learning method guidance. Therefore, it is necessary to guide students to master thinking methods such as observation, analysis, synthesis, abstraction, generalization, comparison, induction, deduction and analogy, and infiltrate modern teaching thinking methods into education and teaching so that students can learn to learn.
In short, we must create some relaxed and pleasant teaching environment and atmosphere in teaching, and use scientific mathematical thinking methods to arouse and stimulate students' interest and enthusiasm in learning, so that students' learning will change from "hard study" to "happy study" and from "asking me to learn" to "I want to learn", so that learning can truly become an activity they are willing to participate in, so that they can explore independently and constantly enrich and improve their teaching level. In addition, the teaching process is a process of bilateral cooperation between teachers and students. In mathematics classroom teaching activities, the teacher's task is to guide students to learn actively. From the psychological point of view, primary school students also hope that they can participate in the whole process of teaching activities, express themselves in teaching activities, and seek success, satisfaction and happiness in participation. Therefore, it is necessary to guide students to participate in the whole process of exploring new knowledge to the maximum extent, so as to promote the normal, healthy and harmonious development of students' cognitive factors and mathematical thinking.
In mathematics education, what is the relationship between mathematical ability and mathematical thinking? Mathematical ability is improved through mathematical thinking, and mathematical ability embodies mathematical thinking. As far as these two items are concerned, one is the purpose and the other is the path!
Illustrate the relationship among mathematical problems, mathematical knowledge, mathematical methods and mathematical ideas with examples. Concepts, rules, properties, formulas, axioms and theorems belong to mathematical knowledge.
Elimination, reduction, formula, substitution, etc. Belonging to mathematical methods;
It is a mathematical idea to express numbers with letters and combine numbers with shapes to turn complex problems into simple ones.
How to establish mathematical thinking in mathematics is a very important subject. If you want to learn math well, you can't learn it by rote like learning Chinese and English. Learning math well requires mastering the correct methods, so that math problems can be extrapolated. Mastering the correct mathematics learning method requires students to have strong mathematical thinking ability. So how to improve children's mathematical thinking ability? Here are some methods that I think are more useful, and I hope to share them with you!
1. If children don't like mathematics, how to cultivate their interest in mathematics?
There are many ways to cultivate interest, which vary from person to person. For example, some children can stimulate their interest in learning mathematics by reading some math stories and fairy tales. You can also combine education with games, ask some attractive questions to challenge your child, make your child form suspense in his mind, and miss him so much until he is fascinated. It can also make children feel the charm and role of mathematics in life, such as shopping, returning to 30, designing the best purchase plan and so on.
2. What methods can help develop children's math learning ability?
In addition to teaching children to count and do addition and subtraction, the cultivation of children's early mathematics learning can start from two aspects, on the one hand, from the perspective of numbers, on the other hand, from the perspective of graphics. In fact, in childhood, parents had better start with graphics, for example, let children play more jigsaw puzzles and cultivate their graphic concepts, which will be of great help in the future.
3. Many parents have no choice but to follow the trend to learn Olympic Mathematics. In fact, they don't want their children to learn Olympic Mathematics, but they have to learn it in order to choose a school for further study. So, is it really only helpful to learn Olympic Mathematics?
For children who have spare capacity for learning, being able to contact with some challenging questions before 14 years old is helpful to the training of children's thinking ability, to their future study and to enhance their competitiveness. It's not too early to sign up for the Olympics class. It is more appropriate to start from the third grade. Of course, children who are interested in it can also participate early. In addition, the starting point should not be too high, mainly to cultivate children's interest in learning mathematics.
4. If children do not do well in math, they are also afraid to learn math. Is there any way to help him?
The fear of mathematics should be caused by a process in which children study mathematics for a long time. It shows that children have encountered difficulties in learning mathematics and their self-confidence has been hit. Then you have to help the child find the reason. Why didn't you learn well? Is it a question of learning attitude or learning method? Then help your child find a tutor, start with the basic knowledge, check for leaks, and make progress slowly. At the same time, it is very important to encourage children and discover their little progress to cultivate their self-confidence.
It seems that his thinking in mathematics is obviously backward. The teacher also said that his thinking was slower than others. As long as some topics turn, he is helpless. How can I guide him?
In this case, the basic mathematical concepts are often unclear or not well mastered. Although you don't need to learn mathematics by rote like China English, you also need to remember and understand the basic mathematical concept definition theorem. It is suggested to start with the basic questions and do more exercises.
6. Mathematical knowledge is closely related. Can advanced learning promote the understanding of current knowledge?
It is a good learning method to link what you have learned with what you have learned in time. If students have spare capacity, it is suggested to study in advance, otherwise it is more important to lay a solid foundation.
Do more questions ~ Practice makes perfect.
How to cultivate children's mathematical thinking and learn mathematical knowledge directly? It is very difficult and boring for young children to understand abstract things directly. Correct mathematics enlightenment should start from life, trace back to the source, let children build interest, be easy to understand and build a complete mathematical concept. Peifei's thinking mathematics adopts the teaching method of entertaining, so that children can establish mathematical thinking in the game.
How to develop mathematical thinking needs to find a special person. There are seven or eight Peifei thinking mathematics in Beijing and the whole country. It's good.
How to cultivate mathematical thinking? Mathematics is a subject to develop thinking, and it is also the basis of learning technology, such as physics, chemistry, machinery, computer, photoelectric technology and so on. If you can't learn math well, these things will be difficult to learn. So, you must learn math well.
Prepare for college.
We should arrange a simple and feasible plan to improve our learning methods. At the same time, we should properly participate in school activities and develop in an all-round way.
In the process of learning, we must: listen more (attend lectures), remember more (remember the structure of important questions, remember concepts, remember formulas), read more (read books), do more (do homework), ask more questions (ask questions if you don't understand), do more experiments, review more and summarize more. Concentrate on class by taking notes.
At other times, we should ensure the study time and the quality of all subjects.
Get enough sleep every day (8 hours). If you are really sleepy, you can have a rest during recess or self-study to ensure learning efficiency.
Arrange appropriate free time to communicate with family and friends.
Through unremitting efforts, the results will be improved and stabilized step by step. Try your best in the exam, be careful in the exam, and be calm in the final sprint. After the exam, you should sum up carefully so that you can study better in the future.
Now: let go of the burden, usually: study hard. Before the exam: prepare carefully. During the exam: don't give up. After the exam: be normal. Remember!
Success always comes from unremitting efforts, and success always belongs to diligent people. I wish you success!
How to exercise mathematical thinking? When you encounter problems, you should think more, broaden your thinking, try to solve problems more, and see if there is a simpler way. You should focus on understanding rather than memorizing, master the problem-solving ideas of a class of problems, and summarize them after you finish the problems.