How to Improve Mathematical Operation Ability in Senior Three Mathematics Review (1)
Computing ability is the most basic and widely used ability. In the college entrance examination, more than half of the questions need to be calculated, and calculation is always a heavy topic in senior three. There is a general deviation in students' operational ability, and the operational problems in the college entrance examination have become a stumbling block for many students to further their studies. It is no exaggeration to say that college entrance examination candidates "succeed even if they fail." In their daily study, they don't know the reason, but mechanically apply the calculation formula. Ignoring the operational objectives, blindly reasoning and calculating; In the process of operation, there is a lack of awareness of choosing reasonable and concise operation methods, and the operation process is complicated and the error rate is high. Many teachers and students lack a scientific understanding of the connotation of computing ability, and often attribute the causes of errors in the calculation process to non-cognitive factors, and think that "carelessness", "carelessness" and "inattention" are the causes of calculation errors. This is a typical example that only pays attention to the methods and ideas in the process of solving problems, but not enough attention to the concrete implementation of the operation and the rationality and simplicity in the operation process. Based on this, how to improve the mathematical operation ability in the process of senior three mathematics review has become a subject that every student must face directly. This paper discusses the operational problems and the cultivation of students' operational ability in senior three review teaching from three aspects: one is the analysis of the reasons that lead to the poor operational ability of students, the other is the interpretation of operational ability, and the third is the suggestion of cultivating operational ability. First, the reasons for the poor computing ability of senior three students are generally poor. Poor computing ability is one of the main reasons for the disadvantaged groups in mathematics (especially liberal arts! Rome wasn't built in a day, and the reasons for the poor computing ability of senior three students are complicated and varied. From the external environment of students' study (1), the curriculum reform in junior high school weakens the calculation requirements (multiplication formula of cross multiplication, algebraic identity deformation such as factorization, radical relationship, proportion, plane geometry, etc.). (2) The widespread use of calculators weakens the calculation consciousness. Lack of correct understanding leads to students' poor operational ability. (4) Teachers' operation teaching is not strong enough. 2. From the internal environment of students' learning, (1) there is something wrong with mathematics learning methods: no attention is paid to knowledge reserve, three basics, induction, reflection and summary of mathematical thinking methods. (2) There is something wrong with the math learning process: it is weak for a long time! (1) vague concepts (especially new content) students are prone to operational errors due to vague concepts. ② The memory of formulas and properties is inaccurate; ③ Data processing ability (calculation, sorting, screening, classified discussion, etc.). ) poor; ④ The math language is not good enough, which leads to poor reading habits, poor reading ability and no way to operate; ⑤ The conventional methods of algebraic identity deformation are not skilled; ⑤ The ability to identify and drive slave graphs is poor; ⑤ Poor algorithm awareness and unclear calculation, especially for liberal arts students. Pet-name ruby bad calculation habits, eager for success, careless, say one thing and do another, and what you write in your mind is inconsistent. ⑩ Poor psychological quality, deducing the computational tragedy from "dislike" to "fear" and then to "fear". Second, the analysis of computing ability (1) and the evolution of the requirements for computing ability in the exam instructions (outlines) over the years: and 2. 1999 added the examination of "estimation consciousness and estimation ability" to the syllabus. 3. In 2002, the syllabus expanded it to "on the basis of understanding the basic operation skills, examine the candidates' consciousness of choosing operation strategies, estimating and using operation tools, and their consciousness of reflecting and calculating the operation results. "4. In 2005, the outline added" Computing ability is the combination of thinking ability and computing skills, and computing includes numerical calculation, estimation and approximate calculation, combined deformation of formulas and decomposition deformation. Calculation and solution of geometric figures, etc. Computing ability includes the thinking ability of analyzing operation conditions, exploring operation direction, selecting operation scheme and so on, as well as the ability of adjusting operation when encountering obstacles in the process of operation implementation. Calculation ability of "5, 06 Examination Syllabus-":Able to perform correct operation, deformation and data processing according to laws and formulas; Can find and design a reasonable and simple operation mode according to the conditions of the problem ","Ability to adjust the operation when encountering obstacles in the operation process "6, 07 Examination outline-"Operation ability: can perform correct operation, deformation and data processing according to laws and formulas; According to the conditions and objectives of the problem, when encountering obstacles in the operation process, we can find and design a reasonable and concise operation mode, the ability to adjust the operation and the skills to implement the operation calculation. Change: "can be based on the conditions of the problem" to "can be based on the conditions and objectives of the problem"; "Adjust the operation when encountering obstacles" is changed to "Ability to adjust the operation when encountering obstacles and skills to implement operations and calculations". Understanding: 07' s computing ability has been improved, emphasizing finding the right direction of the target, formulating the operation strategy, accurately calculating the number and rationally deforming the formula. 06 Sichuan College Entrance Examination (17) may be easier to decompose the factors first; (18) requires accurate decimal operation. (19) The third question asked students to give up when they saw that "vector calculation" was lengthy and the data was not simple. In fact, as long as they adjust their operation strategies and switch to geometric methods, they are expected to succeed. These changes show that the requirements of college entrance examination for candidates' computing ability are gradually improving, which puts forward clear requirements for candidates to explore the computing direction, choose the computing formula and determine the computing program. All kinds of calculations have their own meanings and laws (formulas), and a certain calculation rate should be followed. Computing ability includes two levels of consciousness, namely, computing skills and logical thinking, so these two aspects should be considered when formulating the evaluation target of computing ability. In terms of calculation skills: ① Do you remember the mathematical calculation formulas and rules and use them accurately? ② Whether concepts, properties and theorems can be applied to relevant calculations. ③ Whether the results of various mathematical calculations, including numbers, formulas, equations, functions, exponents, logarithms, trigonometric functions, inequalities and complex numbers, are accurate, fast and reasonable. (4) Whether a calculator can be used for all kinds of table lookup and calculation. In logical thinking: ① Whether the application of formulas and rules is reasonable. ② Whether the operation method and process are simple. ③ Whether you can check and judge your own operation results. (4) Whether various errors in operation can be corrected. ⑤ Whether the calculation process can be simplified and the calculation can be skipped. ⑥ How about mental arithmetic, quick calculation and estimation ability. ⑦ Whether you can reason and calculate.