Ways to develop children's mathematical thinking skills

In the process of mathematical learning, students' creative thinking is mainly manifested in the discovery, generalization or creative use of existing mathematical knowledge and the use of existing knowledge as a growth point for new knowledge. Below I have compiled a list of how to develop children's mathematical thinking, I hope it will help you!

1 How to develop children's mathematical thinking

Explore ways to develop students' thinking

Generally speaking, mathematical thinking is the essential understanding of the content of mathematics, is the further abstraction and generalization of mathematical knowledge and mathematical methods, belongs to the category of rational understanding of mathematical laws. To learn math well, it is necessary to have agile mathematical thinking, here we provide a few ways to train thinking: (1) memory training. Our brain is equivalent to a storage machine, and thinking about the problem is also built on the basis of memory, knowledge is connected, if you only have a single point of knowledge, but also how to let the knowledge of the collision of sparks. (2) hard thinking in life. Any science is to serve the life. And our life also contains a great wisdom, so to form the habit of asking why more in life, such as why the water will boil? Why does the house trip and so on.

(3) More intellectual games . People often say that you can not learn to become a nerd, that is to say a person, you must be able to learn to play, spend time playing, find time to play. Play cards, play TV games, play chess, watch the dark night call, participate in tug-of-war and so on . It doesn't matter what you play. You just have to play! It's good for your mind and your brain. It gives your brain a chance to think strategically while keeping it running. Playing is one of the most mind-developing activities you can do. (4) Concentration. Being serious about anything is the most frightening thing you can do. It's obvious that concentration improves brain power, but it's not always obvious what interferes with concentration. Learn to be aware of when you are distracted, and learn to control your thoughts. Gradually, you will be able to focus your attention and feel less disorganized when you think.

Reasonable planning of classroom content, stimulate students' interest in learning

Mathematical knowledge is more cumbersome, one after another theorem seems to be puzzling, so reasonable planning of classroom content, to stimulate the students' interest in learning, to help them regain confidence seems to be very important. Then we learn "trigonometric functions of the sine theorem" chapter as an example to analyze: first of all, we know that the sine theorem is pointed out that the three sides of any triangle and the corresponding angle of the sine of the value of a relationship between the formula. It is related to triangles, so at the beginning of the class, we take a "a mountain is too high, we can not climb up, or there is a river blocking the mountain, how to calculate the height of the mountain" such a problem. The first step is to use the actual problem to trigger the curiosity of students;

Then we introduced the concept of the sine theorem, introduced the concept and the formula, let the students make a guess, and encourage them to boldly question, so that they can reason the sine theorem whether it is correct or not, or according to the formula to reason how to come to this conclusion. The second step is to change the role of scientists, their own hands reasoning conjecture; in the process of students' own reasoning, there must be different ways of thinking, there are right naturally there will be wrong, this time it is necessary for the teacher to participate in it, to help, go down to listen to the opinions and ideas of students, timely and give the correct guidance on mathematical thinking, to avoid them falling into the thinking of the wrong area and ignored the knowledge of the blind spot. The third step is to give students timely instructions, focusing on mathematical ideas. Then this time you can do some examples to let you feel the use of theorems, easy to deepen the understanding and memorization.

2 How to develop students' creative thinking in mathematics

1. Grasp the "two basics" of teaching, guiding students to discover and use the law, laying a good foundation for the formation of creative thinking ability.

In the process of learning mathematics, students' creative thinking is mainly manifested in the discovery of existing mathematical knowledge, generalization or creative use, and the existing knowledge as a growth point for new knowledge. In teaching teachers must pay attention to the "double base" teaching, so that students have a firm grasp of the basic knowledge and the basic skills of problem solving, and guide the students in the cognitive activities to discover the law, the use of the law, so as to cultivate students' creative thinking to lay a solid foundation.

2. Cultivate students' creative thinking ability in the process of solving problems

Creative thinking ability is a very important ability in the process of students' growth, whether it is from the point of view of quality education, or from the point of view of the test is this. In the teaching process, the teaching of exercises accounts for a large number of hours, so it is particularly important to cultivate students' creative thinking ability in the teaching of exercises.

3. Guiding students to learn independently, cultivating creative thinking ability

Creative thinking requires an intrinsic motivation, which is triggered by the students' own success in accomplishing certain learning tasks. So the teacher must create a kind of independent learning, inquiry, the conditions of the show, let the students to perceive the process of knowledge formation, and guide the students to use induction, generalization method to reveal the inner connection between things and the essence of things, "find" the law. This may sometimes be troublesome and time-consuming, but the student's gain is not only the conclusion, but more importantly in the process of developing their creative thinking skills.

4. Summarize

Cultivating the spirit of innovation and practical ability is the core of quality education, therefore, cultivating the spirit of innovation is the sacred duty of every teacher in the new era Therefore, every teacher should reflect on the advantages and disadvantages of the kind of practices in the education of the past. Therefore, every teacher should reflect on the advantages and disadvantages of our past education practices, some traditional practices and understanding of education to be dialectical thinking and analysis, update the concept of education, in order to cultivate students' creative thinking and do their best.

3 How to open up the innovative thinking of elementary school students

First, create problematic scenarios to introduce the realm of thinking. In the teaching process, if only for the sake of speaking and speaking, students are easy to boring, can not stimulate the interest, in this scenario for teaching can not get good results. If you create a problem scenario for students, guide students into the scenario, give life to the students in the scenario inspired by the excitement of seeking ideas, bold innovation. Create a problem situation on the content of the situation, there are stories, life example method, experimental method, contact with the old method, along with the solution of practical problems, etc.; on the intention, there are mobilizing students to learn to arouse interest in the fun problem, there is a review of the knowledge to strengthen the practice of analogical problems, with the practical combination of the application of the problem, and so on. For example: I am reviewing the "relationship between the parts of the division", the students themselves have deduced the relationship between the parts, they are experiencing success, I suddenly came out of a division with a remainder, the number of divisors. The students feel "no way out", think for a moment on the "darkness".

Second, reproduce the innovative process to cultivate innovative thinking. Mathematics classroom teaching, not only to pay attention to the conclusion of the proof and application, but also to pay more attention to the process of exploration and discovery, to let students along the teacher carefully designed a "re-discovery" of the road to explore and discover the causes of change and the intrinsic connection, with the inductive analogies and methods of migration, to find out the law, the formation of concepts, and then try to justify or solve the problem. For example: in teaching practical problems containing fractions, I summarized the solution through the method of transfer, so that students know that this kind of application problems in the quantitative relationship with the "multiples" of the problem is the same, clear who is the unit "1", set who is X. So that the students in the future encountered new mathematical problems. In the future, encountered a new math problem, can still use this method to explore, to innovation.

Third, seize the psychological characteristics of students to stimulate interest in innovation. Interest is the source of innovation, thinking power, in the teaching activities, teachers should provoke students' interest in innovation, enhance the internal drive of students' thinking, to solve the problem of motivation of students' innovative thinking. Elementary school students, there is a strong curiosity, desire for knowledge, teachers should seize these psychological characteristics of students, to appropriate guidance, stimulate students' desire for knowledge, cultivate students' interest in learning.

4 How to develop mathematical thinking

Developing mathematical thinking in multimedia teaching

"Mathematics is the gymnastics of thinking". Modern media can simulate the world of thinking, reproducing the thinking process, prompting students from image thinking to abstract thinking, divergent thinking transition, and gradually develop the ability to think logically. For example, in the teaching of "the side area of the cylinder", the use of multimedia courseware first on the screen to display a cylinder, so that students imagine and think about "what is the shape of the cylinder after the expansion of the side?" Then, the screen slowly unfolded the side of the cylinder, so that students can clearly see the side of the cylinder is a rectangle after unfolding.

At this point, the teacher then asked the question: "Do you think the length of the rectangle is equivalent to what the cylinder? The width of the rectangle is equivalent to what the cylinder?" Let the students think and then look at the demonstration, and then deduce the formula for calculating the lateral area of the cylinder. So far, the students' thinking has been further dispersed, they think that if not along the height of the cylinder to expand the side, it will be a parallelogram, the base of the parallelogram is equivalent to the bottom circumference of the cylinder, the height of the parallelogram is equivalent to the height of the cylinder, and fight hands-on, verification.

In the practical operation to develop thinking

Mathematical problems and mathematical thinking must be understood and mastered by the students in practical activities, which requires teachers in the classroom, carefully designed to teach the various aspects of guiding the students through the practical operation, in the operation of the independent acquisition of knowledge, the development of thinking. For example: in the teaching of "circle awareness", the first real-life objects belonging to the circle as an example, so that students recognize the difference between the circle and other plane shapes. As for how to draw a circle, the teacher does not use as a demonstration, let the students try to find ways to boldly try.

"Can you draw a standard circle? See whose method is the best and most?" Students collaborate with each other, everyone hands, brains, bold exploration, soon most students learn to borrow round objects (such as coins, ink bottle caps, etc.) or circular drawing circle; and then, the teacher further incentivize students to explore, "If you want to build a large circular flower bed can be drawn with a circular rule?" This kind of teaching to provide students with hands-on opportunities to encourage students to differentiate and innovate, bold exploration, so that the students' practical ability, thinking ability, the spirit of exploration and interest in learning to maximize.

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