A common memory method in mathematics: contour network method.
A "steel net" is like a "fishing net." "Gang" is the total rope on the fishing net, and "mesh" is the mesh on the fishing net, so we should grasp the total rope of "Gang" whether casting or drawing the net. Although the "network" is composed of countless ties, the links between them are orderly. Therefore, the "outline network method" is based on this metaphor, that is to say, "grasp the main, drive the secondary, and keep all parts organically connected, thus improving the memory effect." We know that there are various connections between knowledge, not only vertically, but also horizontally. Therefore, when remembering, we should not only be good at wearing pearls, but also cultivate knowledge into a net.
Understand membership
Be able to understand what you have learned and remember it on the basis of understanding. Modern scientific experiments have repeatedly proved that memory is the brain's reflection of the connection between objective things. Things have internal relations and external relations, and there are superficial and essential points. Only by understanding its meaning can the memory be profound and firm. On the contrary, if we don't understand its meaning, it's not easy to remember, even if we barely remember it, it's easy to forget it. What you don't understand, even if you remember, is of no real use. If you don't understand the meaning of the theorem in numbers, you can't prove it even if you recite it backwards.
For example, I have learned the speed formula S=VT. If I understand the meaning of each letter in the formula, it will be much easier to remember this formula. Make clear the meanings of S, V and T and the relationship between them, that is, S stands for distance, V stands for speed, T stands for time, and distance equals speed times time, so as to remember? =VT this formula.
Inference memory method
The logical relationship between many mathematical knowledge is obvious. To remember this knowledge, we only need to remember one, and the rest can be obtained by reasoning. This kind of memory is called inferential memory. For example, we only need to remember the definition of parallelogram, deduce any diagonal line from the definition and divide it into two congruent triangles, and then deduce that its opposite sides are equal, diagonal lines are equal, adjacent angles are complementary, and the two diagonals are equally divided.
Common memory methods of mathematical formulas 1. Classified memory method
When there are many mathematical formulas that are difficult to remember for a while, these formulas can be grouped appropriately.
For example:
There is a derivative formula of 18, which can be divided into four groups:
1, the derivative of constant and power function (2);
2. Derivatives of exponential and logarithmic functions (4);
3. Derivative of trigonometric function (6);
4. Derivative of inverse trigonometric function (6).
There are seven derived rules, which can be divided into two groups to remember:
The derivative, sum, difference, product and quotient compound function of 1 (4);
2. Derivatives of inverse function, implicit function and power/exponential function (3).
Method two. Inference memory method
The logical relationship between many mathematical knowledge is obvious. To remember this knowledge, we only need to remember one, and the rest can be obtained by reasoning. This kind of memory is called inferential memory.
For example:
As for the nature of parallelogram, we only need to remember its definition, infer that any diagonal of parallelogram divides it into two congruent triangles, and then deduce that its opposite sides are equal, diagonal lines are equal, adjacent angles are complementary, and the two diagonal lines are equally divided.
Method three. Marking memory method
When learning a chapter, read it first, and then draw wavy lines in important parts with colored pens. When memorizing, you don't need to read the whole chapter word by word from beginning to end. You can only remember the main contents of this chapter by looking at the key points and being inspired by it. This kind of memory is called symbolic memory.
For example:
Method four. Memory method
When memorizing the knowledge of a chapter repeatedly, we don't look at the specific content, but achieve the purpose of repeating the memory through brain memory. This kind of memory is called recall memory. In actual memory, recall memory method and mark memory method are used together.