Second, the important role of mathematics in economics teaching
In the era of knowledge economy dominated by science and technology, the ideas, spirit and methods of mathematics play an indispensable role in cultivating students' comprehensive quality, especially in improving their innovative ability. The important role of mathematics in economics teaching is based on its contribution to economic theory research. The higher the level of economic theory, the more mathematical knowledge and models it contains. The purpose of economics teaching is not only to instill theory, but also to analyze methods and recognize logic, so mathematics plays an important role in economics teaching practice. For example, in the teaching process of western economics, mathematical analysis methods, especially marginal analysis methods, are often widely used to enhance the understanding of core concepts.
Modern mathematics is essentially a rational speculative system. The process of analyzing economic theory by mathematical method is not only the transfer of knowledge, but also the subtle transfer of mathematical quality, which is of obvious significance to the cultivation of innovative ability. At the same time, infiltrating mathematics into the teaching of economics, strengthening the detailed deduction and explanation of economic theory, and trying to show the charm of mathematical tools in the teaching practice of economics can make students master the basic theory of modern economics and have a solid foundation of mathematical theory, thus guiding students to become economic research talents who are good at exploring and mastering advanced analytical tools.
In addition, the emergence of economic mathematics can also be seen as a concrete manifestation of the important role of mathematics in the field of economics. At present, many colleges and universities have taken economic mathematics as an important development discipline and established economic mathematics colleges. Economic mathematics, as a subject that studies economic phenomena by mathematical methods and specializes in mathematical problems raised in economics, embodies the role of mathematics in economics teaching.
In short, today, when economics is increasingly inseparable from mathematics, mathematical methods are tools in economics, but they play more than just tools.
Third, how to play the role of mathematics in economics teaching
(A deep understanding of the relationship between economics and mathematics
To give full play to the role of mathematics in economics teaching, we must first deeply understand the mathematization of economics. There are some disputes about the mathematicization of economics in academic circles. Although there is no objection to the contribution of mathematics to economics, there are differences on whether to vigorously advocate or let it go. In addition, the lack of complex thinking based on mathematicization is also a worrying problem.
Therefore, giving full play to the role of mathematics in economics teaching should be rooted in a deep understanding of the mathematicization of economics, so as to grasp the degree of mathematics application in economics teaching. Only on the basis of fully understanding the relationship between mathematical model and economic theory can teachers properly use mathematical teaching cases in economic teaching practice, and pay attention to emphasizing the premise, hypothesis, influencing factors and application scope of theoretical system, so as not to make students simply put complex economic theory under a narrow framework. At the same time, as far as possible, use the complex thinking in economic theory to examine the teaching process, analyze the teaching effect, improve the teaching mode, and avoid the simplification and emotionalization of mathematics application in economic teaching. In addition, in order to prevent students from ignoring the connotation of economics and getting lost in mathematical formulas, it is a matter of principle that teaching activities should follow the teaching laws of economics and decide how to use mathematical methods and theories according to teaching needs according to local conditions.
(B) clearly pay attention to the application of mathematics in economics teaching
Economics teaching emphasizes the cultivation of students' basic knowledge and theory of economics, so that they can make qualitative and quantitative analysis of actual economic problems, while introduction to mathematics focuses on cultivating students' ability to establish complex mathematical models to solve related problems. Having made clear the key points in this respect, we can simply play the role of mathematics in economics teaching activities. Some key points that need to be grasped in the construction and application of mathematical models need to be clearly pointed out by teachers in the teaching activities of economics. With this awareness, students' modeling ability can be more effectively cultivated and improved, and their ability to solve economic problems can also be improved, so as to better play the role of mathematics in economics teaching.
At the same time, teachers should actively instill the importance of mathematical analysis in students, so that they can fully understand and understand the necessity of mathematical methods and mathematical reasoning training, which will help alleviate students' fear of difficulties in mathematical deduction and proof analysis and form the habit of solving practical problems with mathematical tools as soon as possible.
(C) actively improve the mathematics self-restraint of economics teachers
At present, in the teaching activities of economics, some teachers often only pay attention to the qualitative analysis of economic problems, ignoring or avoiding quantitative analysis. One of the reasons for this situation is that teachers themselves cannot use advanced mathematics knowledge to quantitatively analyze practical problems in economics, so it is urgent to improve the mathematics ability of economics teachers quickly. At present, it is feasible to encourage teachers to actively learn higher-level and more advanced mathematics knowledge and communicate with college mathematics teachers consciously.
Only on the premise of improving teachers' mathematics literacy can we fundamentally ensure the role of mathematics in economics teaching. Based on the improvement of teachers' own mathematical ability, it is possible to seek modularity and diversity in economics teaching. Whether it is a basic course of economics or a specialized course, we should pay attention to the effective use and enjoyment of teaching resources in teaching practice, and highlight its various relationships with mathematics at different levels. Through experimental courses, students' practical ability can be enhanced and learning efficiency can be improved. Of course, teachers with dual disciplines of economics and mathematics may better grasp the proportion of mathematics used in economics teaching.
(D) the steady implementation of the reform of the economics curriculum system
At present, China's economics education is in a transitional period, and many aspects are still immature. The curriculum planning of economics often pays more attention to the teaching of the core curriculum theory of economics, but tends to ignore the leading issues and the guidance of economic practice. This directly leads to the fact that although students understand the relevant theories, they cannot solve the problems. Exploring the reform of economics curriculum system in colleges and universities is helpful to play the role of mathematics in economics teaching and effectively improve this situation.
Of course, the reform of economics curriculum education in colleges and universities cannot be achieved overnight. Adhere to the principle of striving for progress while maintaining stability and seeking change while maintaining stability, and actively formulate medium-and long-term reform and development plans. The course reform of economics should proceed from students' cognitive perspective and professional needs, firmly grasp the characteristics of economics, highlight the auxiliary role of mathematics and other disciplines, pay equal attention to theory and practice, rationally plan the main and auxiliary teaching materials, do a good job in connecting knowledge points, coordinate the normal class hours with the second class, and fundamentally break through the existing development bottleneck of economics teaching. The reform of curriculum system needs to be explored in teaching practice, and at the same time, attention should be paid to the construction of teaching staff to meet the requirements of the development of economics education in colleges and universities in the new period. Only by establishing a team of teachers with strong scientific research ability, high academic level, reasonable age structure and outstanding mathematical ability can we better meet the needs of curriculum reform.
Four. conclusion
As far as the role of mathematics in economics teaching is concerned, it can actually be considered from another angle. For example, adding examples of economic models for students majoring in economics to the mathematics curriculum in colleges and universities will certainly help students improve their knowledge of economics and mathematics. This model is actually an improvement of the macro-teaching model in economics teaching. In other words, developing some basic economic problems into the teaching process of mathematics course will realize the two-way interaction between mathematics and economics, stimulate students to have a deeper understanding of economic problems, and thus ensure them to accept theoretical knowledge more calmly in the teaching activities of economics. Whether bringing mathematics into the teaching system of economics or infiltrating economic examples into the basic courses of mathematics, its purpose is to let students have a better and deeper grasp of economic knowledge.
In short, we should attach great importance to and give full play to the important role of mathematics in economics teaching, actively promote the reform of teaching mode and teaching method, better cultivate practical talents in the economic field and make contributions to China's economic and social development.