On how to cultivate students' ability to learn mathematics
1, cultivate students' habit of carefully examining questions. Examining questions is the basis of solving problems. Only by carefully examining the questions, seeing the requirements clearly, seeing the data and symbols clearly, and distinguishing the operation order, can the calculation be carried out correctly. Only by persisting in purposeful exam training for a long time can students realize the importance of exams and form the habit of taking exams seriously. 2. Cultivate students' keen observation ability. On the premise of clear concept and firm formula, the deformation of the formula should be predictable. Only by standing high can you see far. There are many triangular formulas, so it is necessary to observe the characteristics of the formulas and reduce the difference between the known and the target. Sometimes complete replacement will reduce the amount of calculation. For example, in the process of finding the general term of a series by recursion, we should first observe the form of recursion, and then determine what method to use to find it: accumulation method, accumulation multiplication. Pay attention to ensure the accuracy of students' operation. This is the basic requirement for computing power. In the fill-in-the-blank question, one step is wrong and the whole question loses points; In solving problems, if one step is wrong, the latter part will be wrong, and you can get half a point at most. There are many factors that affect the accuracy of operation, sometimes the concept is unclear, sometimes the formula is wrong, sometimes the calculation is wrong, or there are too many jumping errors. For example, when summing by dislocation subtraction, the last item has no corresponding item, so it is required to add 0.4 to improve students' proficiency in operation. This is a test of students' mental agility. Accurately understand and firmly grasp the concepts, properties, formulas, rules and some commonly used data needed for various operations; A deep understanding of concepts, properties, formulas and rules directly affects the choice of methods and the speed of operation. Fuzzy concepts, formulas and rules will definitely affect the accuracy of operation. In order to improve the operation speed, it is still necessary to remember some commonly used data. For example, the square number of natural numbers is less than 20, the simple pythagorean number, the special trigonometric function value, the approximate values of lg2, lg3, π and E are accurate to 0.00 1, and the factorial is less than 5. 5. Optimize the algorithm to ensure the rationality of the operation. The rationality of operation is the core of operational ability. It means that the operation process should conform to the arithmetic, and every step should have a basis. Its main performance lies in how to reasonably determine the operation target and find the best operation mode. 6. Pay attention to the cultivation of practical ability and improve the simplicity of students' operation. This is a sign of reasonable operation. It is required to select a short operation path, fewer operation steps and save operation time. Cultivate students to apply concepts flexibly, choose formulas appropriately and use mathematical thinking methods reasonably. Among them, the idea of combining numbers and shapes, the idea of function equation, the idea of equivalent transformation and the idea of classified discussion all played an important role in simplifying the operation. For example, trigonometric function evaluation, α = (α+β)-β, 2α = (α+β)+(α-β) can greatly simplify the problem-solving process. 7. Pay attention to the standardization of problem-solving process. Some teachers pay more attention to the analysis of the internal relations of problem-solving rules, ideas and knowledge when marking test papers, but pay less attention to the process of problem-solving, such as the standardization of writing, the skill and accuracy of operation. As a result, students can't get scores or full marks from time to time. This requires our teachers to standardize their writing and attach importance to their exemplary role. Through my training, students' computing ability has been obviously improved, but it is far from enough to cope with the college entrance examination. The improvement of middle school students' computing ability is a long process, which cannot be achieved overnight. Therefore, we still need to persevere and make unremitting efforts.