Reading comprehension ability is the premise of mathematical modeling. Generally, mathematical application problems will create a new background, and some special terms will be used for the problem itself, and immediate definitions will be given. For example, 1999 college entrance examination question 22 gives the process description of cold-rolled steel strip, the special term of thinning rate and the immediate definition. Whether it can be understood deeply reflects its comprehensive quality, and this understanding ability directly affects the quality of mathematical modeling. 2. Strengthen the ability to transform written language narration into mathematical symbol language.
It is the basic work to translate all the words and images in mathematical application problems into mathematical symbolic language, that is, numbers, formulas, equations, inequalities, functions, etc.
The cost of translating the words given in the question into symbolic language is y=a( 1-p%)5 3. Enhance the ability to choose mathematical models.
Practical problems of function modeling types
Functions of cost, profit, sales revenue, etc.
Quadratic function optimization, material saving, minimum cost, maximum profit, etc.
Power function, exponential function, logarithmic function, cell division, biological reproduction, etc.
Trigonometric function measurement, alternating current, mechanical problems, etc. 4. Strengthen the ability of mathematical operation.
Mathematical application problems are generally complicated and have approximate calculation. Although some ideas are correct and the modeling is reasonable, it lacks computing power and will give up all efforts. Therefore, strengthening the reasoning ability of mathematical operations is the key to the correct solution of mathematical modeling. It is not advisable to ignore the cultivation of computing ability, especially computing ability, and only pay attention to the reasoning process without paying attention to the computing process.
Using mathematical modeling to solve mathematical application problems is very conducive to thinking from multiple angles, levels and sides, cultivating students' divergent thinking ability, and is an effective way to improve students' quality and implement quality education. At the same time, the application of mathematical modeling is also a kind of scientific practice, which is conducive to the cultivation of practical ability and a necessary condition for the implementation of quality education, and needs enough attention from educators.