Abstract: At present, higher education, as a basic compulsory course in China's higher vocational colleges, plays an important role in cultivating students' future professional quality and ability. The curriculum reform of advanced mathematics is being carried out in various schools. According to several years of teaching experience, I have gained some teaching experience.
Paper Keywords: higher education; Teaching experience
With the expansion of national scale, mathematics is required to play an effective role in the profession. The demand for mathematical thinking and problem-solving ability has been greatly improved. Students who can understand and use mathematics well will have more opportunities, and their mathematical ability will open up a broad future for students. As a basic subject, advanced mathematics has been paid more and more attention by various majors. The traditional mathematics education is changing to the ability education aimed at cultivating students' mathematics quality. Under this change, how to innovate the teaching mode of higher mathematics in higher vocational colleges, so that higher vocational students with poor elementary mathematics foundation can get rid of their fear of mathematics learning, learn to observe things around them with mathematical thinking methods, and analyze and solve practical problems with mathematical thinking methods is a problem worthy of attention of mathematics educators. According to my own teaching experience, I also put forward some ideas on the teaching methods and means of advanced mathematics.
First, strengthen the training of mathematical thinking and cultivate students' humanistic quality.
Philosophical knowledge of mathematics refers to the philosophical knowledge contained in the system of mathematical knowledge. The knowledge of mathematical philosophy is the product of the interaction between form and dialectical logic in variable mathematics, and the crystallization of the integration of mathematical thinking and philosophical thinking. Only by guiding students, extending the tentacles of thinking to the philosophical level and using contradictory analysis and philosophical dialectical thinking can we appreciate the acquisition of mathematics.
Engels pointed out that elementary mathematics, that is, constant mathematics, is active within the scope of formal logic, at least in general; The most important part of variable mathematics is calculus, which is essentially nothing more than the application of dialectics in mathematics. ? The transition from elementary mathematics to variable mathematics reflects the leap of human thinking from formal logic to dialectical logic and the development of human cognitive ability from low level to high level. The first two steps are to find the area of curve trapezoid and the distance of variable speed linear motion, that is? Split? And then what? Peace? , is the embodiment of elementary mathematical methods, but also the embodiment of formal logical thinking in elementary mathematical methods. Is it only the third step? Go to the limit? This kind of rich dialectical logic thinking contained in variable mathematics makes the problems that elementary mathematics can't solve come to the bottom and opens a new world.
Higher vocational education should not only equip students with the necessary knowledge and skills to engage in a certain occupation, but also cultivate students with noble sentiments, sound personality, perfect and strong sense of social responsibility and broad horizons, so that they can become all-round people. Strengthen humanities education and take emotion, attitude, ideal, values and professional ethics as the contents of higher mathematics courses. The introduction of this knowledge will have a good influence on the formation and development of students' communication ability, work ability, migration ability, beautiful sentiment and will and morality. We must pay attention to the balanced development of students in all aspects so that they can become professionals with excellent quality, extensive professional knowledge and strong professional skills.
Second, pay attention to the application of higher education and realize the integration of mathematics courses and majors.
The content of advanced mathematics course should be close to the needs of training objectives and professional course teaching, and emphasize? Necessary and sufficient? Degree of basic principles, so as to improve students' interest in learning, easy for students to accept. The basic quality of higher vocational students emphasizes practicality, applicability and pertinence, which is by no means to completely abandon theory, but to present the necessary theoretical knowledge in a popular, intuitive and simple form, reflecting a curriculum concept of abandoning rigor and maintaining science, reducing theory without completely giving up theory, so that higher mathematics can be used as a basic cultural course and lay the foundation for students' future development or further study. In practical teaching, we should reduce boring theoretical derivation, increase information, infiltrate the viewpoint of modern mathematics, select classic teaching contents, introduce new scientific and technological achievements of different majors, overcome the limitations and inadaptability of teaching materials and teaching contents, and pay attention to the applied teaching of advanced mathematics. We should pay attention to the background of introducing mathematical concepts, introduce professional models according to students' professional characteristics, and strengthen the application of concepts. In order to realize this requirement, mathematics teachers should actively consult professional teachers in the preparation stage of teaching, ask them to provide mathematical knowledge points used in professional courses, find out the application of mathematics in majors, introduce relevant professional models into mathematics classes, highlight the application of mathematics, and narrow the distance between mathematics and majors.
Third, comprehensively apply modern teaching methods and reform examination methods.
Applying multimedia-assisted teaching technology to mathematics teaching can effectively improve the structure and organization of mathematics teaching and achieve twice the result with half the effort. The use of multimedia courseware can present the characteristics of time sequence, spatial structure and movement process of things, and simplify students' cognitive process of things. The use of multimedia courseware can make the teaching content vivid and help students understand abstract concepts. Using the network teaching platform, information resources and equipment resources can be shared, and students can be provided with multi-level and multi-directional learning resources. Network technology promotes the autonomy and interactivity of teaching, and makes mathematics teaching more modern and more suitable for the requirements of the information age. Network teaching can be carried out at any time, and each student can determine the learning time, content and progress according to his own actual situation. Due to the adoption of higher vocational colleges? Kuanjin? Attract students to school to alleviate the contradiction of insufficient students, thus resulting in low overall quality of students. For a long time, the only form of mathematics examination is limited written examination, and the questions are basically copies of examples, mostly pure mathematics questions. This kind? Standardization? Students can easily form the habit of applying definitions, theorems and formulas to solve problems. The examination form of limited time written test can only make the teacher face one piece of the test score table? Red light? And the increasing failure rate year by year, in? Students get worse every year? There is nothing to do with sighing, which makes students increasingly afraid of mathematics in the process of passively coping with exams. Obviously, this form of assessment can't really test students' understanding and mastery of knowledge. According to the teaching purpose, students' practical ability and application ability should be emphasized, not their computing ability. In order to meet the requirements of students' mathematics quality and ability assessment and cooperate with the reform of higher mathematics teaching content and teaching methods, the assessment methods should be innovated. If we can use the combination of computer examination and theoretical examination. Computer test mainly examines students' practical ability, while theoretical test mainly sets questions from the perspective of knowledge transformation. Theoretical examination focuses on examining students' thinking and problem-solving process. At the same time, a combination of various evaluation methods can also be adopted.
In short, the key to the implementation of the new teaching model is teachers. This puts higher demands on the quality of teachers. In order to adapt to the development of higher vocational education, teachers should actively change their concepts, optimize the structure of knowledge and skills, constantly improve and develop themselves, and become qualified higher mathematics teachers in the new period.
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