Memory method 1. Pay attention to derivation and understand the formation process of the formula. In mathematics teaching, most formulas have a derivation process. In class, teachers usually lead students to deduce, but most students don't pay attention to the derivation of formulas, thinking that they just need to remember the formulas and apply them. This wrong idea bothers many students, who don't understand the source and reasoning of the formula. They simply memorized it, which was still useful when there were no hours or formulas at that time. When reviewing the whole chapter, the whole book or the whole high school, many formulas are either unclear or mixed together, and the result is a mess. Therefore, in the teaching process, I first explain the importance of formula derivation to students, and then guide students to participate in it, explaining the principle of each formula derivation process, so that even if they forget the formula, students can deduce it. For example, in the teaching of the summation formula of the first n items of a series, arithmetic progression sums the first n items by adding them from beginning to end according to their characteristics. The sum of the first item and the last item, the second item and the penultimate item is equal, and they are all a 1+an, so that the summation formula of the first item is sn=, and then with an = a 1+(n- 1, according to its characteristics, sum by dislocation subtraction, write sn first, then multiply both sides by the common ratio q, and then subtract, and sn= can be obtained. Paying attention to the process of formula reasoning can not only help students remember formulas, but also help them master basic problem-solving methods, such as the first and last addition and dislocation subtraction of the sum of series in this example.
Memory method II. Look up commonly used formulas, fill in gaps, and establish your own formula library. With the further deepening of review, I instruct students to look up commonly used formulas, mark the formulas that they haven't remembered according to the situation of each simulation, and sort them out separately, so as to screen at different levels, focusing on missing and filling gaps, and each student establishes his own unique formula library, so that when reviewing, he will have first-hand information suitable for him and be targeted.
Memory method 3. Remember the formula in the question, don't just recite the formula. Mathematics learning is flexible and changeable. The purpose of memorizing formulas is to apply formulas to solve practical problems, rather than simply memorizing formulas. In the process of solving problems, we can be more familiar with the formula and its application, understand the formula more deeply, and deepen our memory, so that the formula has the vitality of application. But don't look up the formula while doing the problem, don't recite it, and look it up next time. This will lead to the situation that the book is open and the book is closed. Of course, how much the formula is remembered depends on the students. I often say to students: remember the basic formula accurately. Students with strong reasoning ability can deduce other formulas, but too many formulas will affect the speed of solving problems. Students with strong memory ability can remember the further derived formula, but they must remember it accurately. ?
Memory method 4. Sort out the formulas that are easy to be confused, easy to remember and difficult to remember. In the process of learning, some formulas are easy for students to remember. I suggest that students sort out these formulas specially, take special care of them, read more and remember more, and remember them clearly. For example, the questions of definite integral are mostly simple, but students can easily confuse the derivative function of y=sinx and y=cosx with the original function. Another example is binomial theorem, the distance between a point and a surface, the distance between a point and a line and so on. It is difficult for students to remember. Summarizing these formulas will help students treat them specially and master them one by one.
Memory method 5. Analyze the same type of questions and guide students to summarize common formulas. When reviewing simulation questions in senior three, after students have done a certain number of questions, I instruct students to analyze the same type of questions, summarize the problem-solving ideas and common formulas of common questions, and summarize the formulas according to the questions, so as to systematize knowledge. Such as trigonometric function, probability, solid geometry, sequence, analytic geometry and derivative to solve function problems, sort out common test knowledge points and commonly used formulas, and form students' own formulas that can guide problem solving.