(1) Learn to read application questions carefully, understand the meaning of the questions, and distinguish between conditions and problems;
(2) Learn to express the conditions and problems of application problems with actions, charts and drawings;
(3) Learn to analyze application problems by comprehensive method or analytical method. Through the practice of analysis, find out the quantitative relationship in the problem, so as to judge, reason and choose the algorithm.
Second, calculate (1) to make a problem-solving plan orally or in writing; (2) First use the step-by-step formula and then use the comprehensive formula; (3) It can be calculated correctly, quickly and reasonably according to the formula;
(4) Correct use of the company name;
(5) Write the answer according to the question;
(6) consciously check or estimate.
Third, the retelling explanation (1) will tell the main content of the application question; (2) Describe the steps of problem-solving plan and formula calculation according to conditions and problems; (3) According to the dependence between quantities, the basis of algorithm will be selected repeatedly; (4) Be able to read the formula correctly and name each part in the formula; (5) Starting from the problems of practical problems, narrative reasoning and formulation;
Fourth, I can make up questions.
1, self-compiled application questions; (1) Ask (or make up) questions according to two known numbers; (2) according to a known number and problem, supplement the missing known number; (3) Write application questions according to objects, charts, line drawings or performance actions; (4) Write application questions according to the story content or a fact; (5) Write application questions according to formulas or algorithms; (6) According to the requirements, for example, write one or several application problems with different calculation methods with 36 and 9; (7) Imitate the application questions in the textbook.
2. Adapting application problems: (1) Adapting a simple application problem into another simple application problem; (2) Combine several continuous simple application problems into a composite application problem, or adapt a composite application problem into several continuous simple application problems; (3) Changing the unknown number into the known number, and changing the known number into the unknown number, and compiling one or several application problems of inverse operation; (4) Decompose a known condition in the application problem into two known conditions to increase the calculation steps, or merge two known conditions in the application problem into one known condition to reduce the calculation steps.
Compiling questions is a process of continuous improvement and integration of theory with practice. Students can further understand the meaning of addition, subtraction, multiplication and division through self-made application problems, and their ability to comprehensively apply mathematical knowledge can be exercised. Students can correctly write a certain kind of application problems, which proves that students understand the mathematical laws they have learned and master the mathematical structure and characteristics of this kind of application problems.
Although the above-mentioned "four steps" have their own tasks, they are internally related and not isolated. Analysis is the foundation, table calculation is the purpose, retelling and explanation is to consolidate feedback, and compiling questions is to improve. In short, it constitutes a complete teaching system of applied problem teaching. Grasping these "four steps" in the teaching practice of application problems can prevent students from being subjective and superficial in answering questions and cultivate their objectivity, profundity and comprehensiveness. Implementing the requirements of "four steps" can achieve the purpose of mastering mathematical knowledge and calculation skills, enhancing the ability to analyze real-life problems and cultivating dialectical thinking ability. It is also the key to the teaching of practical problems. Combining knowledge teaching with the cultivation of world outlook is an internal system combination.