1 Cultivation of Computing Ability in Senior High School Mathematics Teaching
It is true that the cultivation of computing ability plays an important role in mathematics teaching, and it is the basis of other mathematical abilities. Therefore, improving the operation ability is the key to high school mathematics teaching. To really improve students' computing ability, we can start from the following two aspects.
1. 1 Strengthen the analysis and understanding of calculation basis and improve the efficiency and correctness of calculation.
In the process of solving mathematical problems, formulas, concepts and rules related to mathematical knowledge are the basis of operation, which requires students to deeply understand the derivation and demonstration process of these conceptual formulas and greatly improve their understanding ability of these basic knowledge. Only by mastering these formulas, concepts, rules and other basic knowledge skillfully and deeply can we apply them freely in mathematical operations, endow formulas with more flexible changes and functions, expand students' thinking, have a clearer direction and deal with them more decisively, thus improving the operation speed and ensuring the accuracy of calculation. For some complicated calculations, each step of calculation determines the correctness of the subsequent derivation process and results, which highlights the importance of students' computing ability.
1.2 pays attention to the logical relationship in operation, so the calculation must be based on this.
For the cultivation of students' thinking, we should focus on strengthening the cultivation of students' abstract thinking ability such as deduction and generalization, which is closely related to the strong logic of senior high school mathematics. In the process of operation, students should seriously study and discover the inherent logical relationship in the process of operation, make clear the reasons of operation at each step, find the basis of operation, and develop safe operation habits, thus effectively ensuring the correctness and rigor of mathematical operation. At the same time, mathematics teaching should strengthen logical reasoning training, make full use of mathematical examples, let students analyze their internal verification relationship, and conduct logical reasoning drills among students, so that they can have a clearer understanding and concern about related logical relationships.
2 the cultivation of memory ability in senior high school mathematics teaching
In senior high school mathematics teaching, there is another ability that is easily overlooked, that is, students' memory ability, which has become the basis and guarantee for improving other abilities. Therefore, while paying attention to the cultivation of computing ability, we must not underestimate the cultivation of their memory ability. Because students' memory directly affects the formation of their mathematical knowledge structure and knowledge system, and affects their overall understanding and flexible application of knowledge, a complete and organized knowledge system is more conducive to the formation of students' innovative thinking and innovative thinking. In view of this, math teachers should improve students' memory ability from the following three points.
2. 1 Encourage students to preview and form their initial memories.
Because of the large intake of information prepared before class, it is difficult for students to fully understand and clearly remember. However, preview clearly defines the content of the class. Students can find problems in the process of preview, and then go to class with these problems and vague memories, which is not only targeted, clear-cut and focused, but also strengthens memory and deepens understanding.
2.2 Pay attention to the introduction and transition of knowledge, and clear students' memory barriers.
There is an inevitable internal connection between senior high school mathematics knowledge, which can guide students to move forward into new knowledge fields. In teaching, we should pay attention to the relationship between what we have learned and what we have learned, guide students to learn new content through old knowledge, and do a good job of connecting knowledge, so as to remove obstacles and strengthen memory. Of course, in this process, clever use of special memory methods such as analogy, comparison and image memory will play a multiplier role.
2.3 Strengthen understanding and memory.
Understanding is the premise of memory, and the knowledge content that students do not understand and strengthen memory will not be stable and lasting. A large number of formulas and concepts in high school mathematics need accurate memory before they can be used flexibly. Therefore, learning high school mathematics should start from mathematical facts, actively explore the logical relationship between knowledge, establish the mathematical knowledge structure, and use the method of connection to carry out reasoning practice and application, so as to deepen students' understanding and improve their memory and application ability.
3. The cultivation of communication ability in senior high school mathematics teaching
As social people, they need to communicate. Even the communication and cooperation between people has promoted cultural innovation and social change. Mathematical communication not only exchanges ideas, experiences, methods and skills among students, but also promotes the improvement of students' language expression ability and activates students' thinking, which cannot be underestimated. To cultivate students' communicative competence, we should strive to do the following.
3. 1 Strengthen language training and attach importance to the use of mathematical language.
Language is the image expression of words, pictures and semantics. Only when students have a profound and comprehensive understanding of mathematical knowledge can they accurately describe it in mathematical language and achieve the effect of expressing their meaning according to their abilities. Therefore, high school mathematics teaching needs to strengthen classroom discussion and communication between teachers and students and between students. Through discussion, we can find out the problems and shortcomings in our language expression, promote ourselves to master mathematics knowledge more skillfully, and improve our expression level and cognitive level.
3.2 Mathematics activities promote students' communication and cooperation.
Mathematics is not only widely used in the field of calculation, but also very practical. In mathematics learning, we should implement the principle of applying what we have learned. Therefore, in the study of high school mathematics, we can appropriately develop activities or topics suitable for teaching content, so that they can explore various solutions through communication and cooperation in unpredictable practical problems and deepen their understanding of mathematics language through practice; Improve the expression ability of mathematical knowledge through communication; Through practice and exercise, the mind is constantly open; Through activities, the integration of textbook knowledge and social practice can be realized.
3.3 the cultivation of questioning ability in senior high school mathematics teaching
Innovation needs the courage and ability to challenge authority, and questioning can promote the development of knowledge. Being able to question can challenge customary practices, correct existing problems and make due progress. Therefore, questioning is a kind of ability. High school mathematics teaching should pay more attention to the cultivation of students' questioning ability.
Teachers should actively advocate questioning and create an atmosphere of questioning. There may be two reasons for students' lack of questioning: on the one hand, students' understanding is not deep enough to question, or students have inferiority complex and are afraid of questioning; On the other hand, some teachers either like "clever" classes, but they don't like students interrupting, or the class tasks are tight and they are not allowed to ask questions. In view of these two reasons, different measures should be taken to create a positive questioning environment for students. Teachers should abandon the old concept of "egoism", open their minds, strive to create an equal and harmonious relationship between teachers and students, strengthen emotional exchanges between teachers and students, and improve mutual trust; At the same time, we should encourage students to question and give them ways to question. Those students who dare to put forward negative opinions or novel opinions should be praised and encouraged in time, so that they can stimulate their thinking potential and cultivate their questioning ability while being affirmed.
4 conclusion
To sum up, mathematical knowledge plays a huge role in all fields of society and life, and students' mathematical ability plays an important role in their life growth. Therefore, senior high school mathematics teachers should use advanced teaching concepts and effective teaching methods to cultivate students' abilities in operation, memory, communication, questioning and innovation, improve students' comprehensive quality and lay a solid foundation for participating in social practice in the future.