Under the current new curriculum standard reform, more and more attention is paid to the cultivation of students' innovative ability and thinking ability, which reflects to some extent that high school mathematics teaching under the background of exam-oriented education is not conducive to the cultivation of students' mathematical thinking ability. In order to further promote the cultivation of students' mathematical thinking ability, this paper discusses the cultivation of mathematical thinking ability based on high school mathematics teaching practice, summing up experiences and lessons.
First, the understanding of the related connotation of mathematical thinking ability
Mathematical thinking ability, referred to as mathematical thinking, refers to the formal process of thinking activities to think and solve problems from a mathematical perspective. Mathematical thinking ability is not only important for mathematics learning, but also for physics, chemistry and other disciplines. Thinking ability is specifically summarized in the mathematics curriculum standards of junior and senior high schools in China, which mainly refers to the unification of various abilities such as observation, hands-on practice, analysis and summary, abstract summary and comparative guess.
Second, the importance of cultivating mathematical thinking ability in high school mathematics teaching
(A) can effectively improve students' math scores.
In high school, the most important thing for students to do is to cope with the college entrance examination. Getting into a good university is directly related to the future development of students. At present, our country still regards examination results as the main criterion for recruiting talents, and students' academic performance is still very important. Mathematics, as an important subject in the college entrance examination stage, directly affects students' college entrance examination scores, which shows the importance of improving students' mathematics scores. Moreover, with the deepening of the new curriculum reform, the proposition in the mathematics college entrance examination is becoming more and more flexible, which highlights the examination of students' mathematical thinking and ability, and is no longer a single calculation ability. This requires paying attention to the cultivation of students' mathematical thinking ability in senior high school mathematics teaching, which can effectively improve students' mathematical achievements.
(B) conducive to the improvement of students' core competitiveness and comprehensive quality.
In the fierce competition in today's society, people's innovation ability is becoming more and more important and has become a key factor for success. Training talents should pay attention to the cultivation of comprehensive quality, which is the teaching requirement under quality education. Mathematical thinking ability is closely related to innovation ability. Mathematical thinking ability should be cultivated through certain forms, such as independent inquiry, group cooperation and discussion. Undoubtedly, this process is very conducive to the cultivation of students' innovative ability and comprehensive ability.
Thirdly, there are some problems in the cultivation of mathematical thinking ability in senior high school mathematics teaching.
(A) the form of mathematics teaching is not novel enough.
Although compared with the previous teaching forms, the present teaching forms of mathematics are more diverse and the classroom atmosphere of mathematics is more active, but the teaching forms are still not flexible enough, especially for the cultivation of students' mathematical thinking, which requires students to explain the problem-solving ideas through topics or summarize some methods through observation, and there is no very novel and stable teaching form and content.
(B) Do not pay attention to the use of mathematics textbooks
Faced with the pressure of college entrance examination, teachers and parents often ask students to buy a large number of teaching AIDS for high school mathematics learning. This is of course necessary, but it ignores the full use of high school mathematics textbooks, which is the problem. Mathematics textbooks are carefully compiled by relevant experts and have certain scientific rationality. Knowledge points, examples and exercises in mathematics textbooks are excellent contents and ways to cultivate students' mathematical thinking, but they are often ignored by teachers and students.
Fourthly, explore the ways and methods of cultivating mathematical thinking ability in senior high school mathematics teaching.
(A) pay attention to the use of current advanced information technology to promote the cultivation of students' mathematical thinking ability.
The arrival of the information age has brought a lot of convenience to people's life and work, one of which is the application of information technology in education and teaching. For high school mathematics, it is reflected in the application of multimedia equipment in classroom teaching. Mathematics can also be assisted by multimedia equipment like Chinese and English. Through the careful design of PPT courseware, the problem-solving process of mathematical exercises is displayed in the form of sound, graphics and images, which can make students understand and master it more clearly, bring students a brand-new learning experience and help them cultivate their mathematical thinking ability.
(B) to improve students' awareness of applied mathematics
Learning and mastering any knowledge is to apply it in real life. The application of mathematics knowledge is not only beneficial to mathematics learning, but also helpful to improve students' mathematical thinking ability. Because the application of mathematical knowledge is a practical activity, the best way to cultivate mathematical thinking ability is to constantly improve in practice, so teachers should consciously and purposefully improve students' awareness of applying mathematics and promote students to actively apply mathematical knowledge in their lives. In the process of application, in addition to doing "application" in homework, it is more important to actively use it in life, or consciously do mental arithmetic and thinking when you see some math thinking questions.
(3) Teachers should pay attention to the use of heuristic teaching methods in mathematics teaching.
The key to the cultivation of mathematical thinking ability is to let students have their own unique thinking. How to promote students to follow the teacher's ideas in class? This requires teachers to pay attention to the application of heuristic teaching method in mathematics teaching, instead of cramming teaching as before, and communicate with students more effectively. At the same time, in students' daily homework, when students ask questions themselves, they can't directly tell them the ideas and methods of solving problems at the beginning, but help them sort out their ideas and find out the relationship between the conditions in the questions through step-by-step guidance. This step by step can not only help students solve problems, but also open up students' ideas of learning mathematics, find correct methods and help students improve their mathematical thinking ability.