Methods of cultivating computing ability:
First, accurately understand and firmly grasp the concepts, properties, formulas, rules and some commonly used data required 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 within 20, simple pythagorean number, special trigonometric function values,,, lg2, lg3 and E are all accurate to the approximate value of 0.00 1.
Two, master the general operation methods, general rules, flexible use of concepts, properties, formulas and rules for operation. Teachers can arrange and collect some flexible exercises according to the content of the textbook, cultivate students' flexibility in operation, guide students to collect, summarize and accumulate experience, form skilled skills, and improve the simplicity and rapidity of operation.
Third, pay attention to the teacher's typical demonstrations and examples in learning, and make clear the goal, calculation steps and basis of solving problems. Through typical demonstration, the transition from understanding knowledge to using knowledge is relatively smooth, thus forming operational ability.
Fourth, improve the reasoning ability in operation. The essence of mathematical operation is a process of deducing results from known data and formulas according to the definition and nature of operation, and it is also a process of reasoning. Whether the operation is correct or not depends on whether the reasoning is correct. If the reasoning is incorrect, the operation will go wrong. Pay special attention to the equivalent transformation in operational reasoning.
Fifth, pay attention to the training of constant deformation (transformation) ability of numbers and expressions.
1. sign transformation, such as sign transformation when brackets are removed and added.
2. Reciprocal transformations, such as addition, subtraction, multiplication and division, power sum roots, differentiation and integration.
3. Formula change. For example, a2 +b2=(a+b)2-2ab, etc.
4. Decomposition transformation. For example, if x-y=3 and y-z=5 are known, then x-z = (X-Y)+(Y-Z) can be decomposed by finding x-z. ..
5. Transposition transformation, such as introducing auxiliary elements, constructing auxiliary functions, adding auxiliary lines, adding parameter variables, etc.
Sixth, strengthen operational practice Any ability is formed and developed in certain practical activities. In order to effectively improve students' operational ability, we must strengthen practice, which should be purposeful, systematic and typical. By changing one question, changing one more question, solving one more question and using one more method, the proficiency, accuracy, flexibility and organization of operation are cultivated. Cultivate students' thinking depth and improve their computing ability in the form of exercise group training.
Seven, get into the habit of checking calculation, master the checking calculation method in the process of solving problems or at the end of the operation, you must also test the operation process and results, so as to correct the mistakes in the operation process or results in time and master the checking calculation method. For example, to solve an equation, we can substitute the solution into the original equation to test, solve fractional equation, irrational equation, logarithmic equation and exponential equation, or test from the range of unknown values. The methods of inspection usually include: reduction method, substitution method, evaluation method, inverse operation and so on. Cultivating the habit of inspection and improving the ability of thinking monitoring in the process of operation is one of the specific requirements for forming and developing the ability of operation, which can not be ignored in learning.