According to the characteristics of psychological theory and mathematics, the following principles should be followed in classroom learning of analytical mathematics:
Dynamic principle, step by step principle, independent thinking principle, timely feedback principle and integration of theory with practice principle.
Principles, and thus put forward the following mathematics learning methods:
1. Combination of seeking advice and self-study.
In the process of learning, we should strive for the guidance and help of teachers, but we should not rely on teachers everywhere.
We should take the initiative to learn, explore and acquire, and study and study on our own basis.
On the basis of seeking help from teachers and classmates.
2. Combination of learning and thinking
In the process of learning, we should carefully study the content of teaching materials, ask questions and trace back to the source. Duimei
A concept, formula and theorem should be clear about its context, causality, internal relationship and meaning.
Mathematical ideas and methods involved in the process of derivation. Try to solve problems in different ways.
But also to overcome the rigid, rigid and inflexible learning methods.
3. Combine learning with application and be diligent in practice.
In the process of learning, we should accurately grasp the essential meaning of abstract concepts and learn from actual models.
Abstraction is the evolution of theory. For theoretical knowledge, we should seek its concrete reality in a wider scope.
For example, make it concrete, and try to apply the theoretical knowledge and thinking methods learned to practice.
4. broaden your horizons, accept the appointment, and return to the appointment from Bo.
Textbooks are the main source of students' knowledge, but they are not the only source. In the process of learning,
Besides studying textbooks carefully, we should also read relevant extracurricular materials to expand our knowledge. meanwhile
On the basis of extensive reading, conduct serious research and master its knowledge structure.
5. There are both imitation and innovation.
Imitation is an indispensable learning method in mathematics learning, but it must not be copied mechanically.
On the basis of digestion and understanding, use your brains and put forward your own views and opinions, instead of sticking to what you have.
Frameworks are not limited to ready-made models.
6. Review in time to enhance memory.
The content of learning in class must be digested on the same day. Review first, then practice. Review work must be done.
It must be carried out frequently, and every time you finish learning a unit, you should summarize and sort out the knowledge to make it systematic.
Profound
7. Summarize the learning experience and evaluate the learning effect.
Summary and evaluation in learning is the continuation and improvement of learning, which is conducive to the establishment of knowledge system.
Master the law of solving problems, adjust learning methods and attitudes, and improve judgment. In the process of learning,
Attention should be paid to summing up the gains and experiences of listening to lectures, reading books and solving problems. The next step is the learning method involving specific content. For example, how to learn mathematical concepts and numbers.
Learning formulas, rules, mathematical theorems and mathematical languages; How to improve the ability of abstract generalization and calculation,
Logical thinking ability, spatial imagination ability, problem analysis and problem solving ability; How to solve mathematical problems;
How to overcome mistakes in learning; How to get the feedback information of learning; How to comment on the process of solving problems
Price and summary; How to prepare for the exam? Further research and exploration on these issues will be more beneficial to China.
Students' study of mathematics.
Many outstanding educators and scientists in history have a set of knowledge suitable for their own characteristics.
Method. For example, the learning method of Zu Chongzhi, an ancient mathematician in China, can be summarized in four words: searching for the past.
Today. Search is search, absorbing the achievements of predecessors and studying extensively; Refining is refining, taking all kinds of ideas.
To compare and study, and then through their own digestion and refining. The learning experience of Einstein, a famous physicist, is: relying on self-study, paying attention to autonomy, asking questions, boldly imagining, striving to understand and attaching importance to experiments,
Understand mathematics and learn philosophy in eight aspects. If we can increase the number of these educators and scientists.
Mining and sorting out learning experience will be a very valuable asset, which is also the study of learning methods.
An important aspect of.
Although the problem of learning methods has been concerned by educators, many good ideas have been put forward.
Learning methods. However, due to the long-term influence of "teaching instead of learning", most students are interested in themselves.
Whether the learning method is good or not has never attracted attention. Many students have not formed a fitness program according to their own characteristics.
An effective learning method that suits you. Therefore, as a conscious student, we must learn knowledge.
At the same time, master scientific learning methods. 1. Read the text
This is the basis for previewing the next steps (see various reading methods introduced later).
2. Derive the formula in person
There are a large number of formulas in mathematics courses, and some textbooks have derivation processes; Some textbooks are not pushed.
To guide the process, write out the prototype of the formula, then say "can be deduced", and then
Write the result formula. Regardless of whether there is a deduction process in the textbook, students should preview it by themselves.
Close the book and deduce the formula in person; If there is a derivation process in the book, you can put your own derivation process together with the book.
Relative photos; If there is no deduction process in the book, it can be compared with the deduction process of the teacher in class; so that
Find out if you have deduced it wrong.
Deriving formulas by yourself is not only to analyze and solve problems independently, but also to discover yourself.
Knowledge preparation. Usually, because of our own knowledge, we can't deduce or deduce errors.
Insufficient preparation, either forget what you have learned or decide what you haven't learned.
If you mend the law, you will make progress.
Clear a stumbling block
The continuity of mathematical knowledge is strong, the previous concepts are not understood, and the following courses cannot be learned. preview
When you find that you don't know or understand the concepts you have learned, you must make it clear before class.
4. Convergence theorems, laws, formulas, constants, etc.
A large number of theorems, laws, formulas, constants, specific symbols, etc. Learn math in the math course.
The most important content of the course needs to be deeply understood and firmly remembered. So, in the trailer,
Regardless of whether you have prepared notes or not, you should put these contents together separately and copy them every time.
Then deepen an impression. In class, when teachers talk about these places, they should preview them by themselves.
Compare what the teacher said and see if you misunderstood anything.
Try to do exercises
The exercises in the math textbook are all aimed at consolidating the learned knowledge. You can try this in the preview.
Some exercises. We work hard because we don't emphasize doing right, but use it to test our preview.
Effect. The preview effect is good, and the exercises attached at the back of the book can be done. Eight methods of learning mathematical concepts
1. Wengu method
Piaget and Ausubel both think that concept teaching is the beginning of concept learning theory.
Is based on existing cognitive conclusions. Therefore, before teaching new concepts, if students can
Some structural changes should be made to the original concepts in cognitive structure, and the introduction of new concepts will be conducive to promotion.
The formation of a new concept.
2. Simulation method
Grasp the essential connection between old and new knowledge, and let students put old and new knowledge into it purposefully and in a planned way.
By analogy, we can quickly draw the same (similar) structure of old and new knowledge in some attributes.
Incorporate the concept.
3. Metaphorical method
In order to understand a certain concept correctly, we use life examples or interesting stories and allusions as metaphors to lead to a new concept.
Reading is called a metaphorical introduction.
For example, when learning to represent numbers by letters, the first two sentences are: "Q and D are reading W"
"Tragedy", "I met a friend on S Street in a city." Q: The words in these two sentences.
What did mother say? Then show the playing card "A of Hearts" and ask the students to answer what A stands for here.
What? Finally, the equation "0.5×x=3.5" is given, and the equal sign and 3.5 are erased to become "0.5×x".
What does X mean in the two formulas? According to the students' answers, the teacher combined with blackboard writing to summarize:
Letters can represent names, places and numbers, and a letter can represent a number or any number.
Count.
In this way, the boring concept becomes vivid and interesting, and students enter the word ""with heartfelt joy.
Learn the concept of "mother representation number"
4. Doubt method
Introducing new concepts by revealing the contradiction of mathematics itself, thus highlighting the necessity and
Rationality arouses strong motivation and desire to understand new concepts.
5. Demonstration method
Some teaching concepts, if they are represented by appropriate figures, are compared by numbers.
The combination of form and form will enrich the supply of perceptual materials, get good results and be easy to understand and understand.
Master.
For example, it is very important to establish an outline of "multiple" when learning the application problem of "how many times is a number".
Reading. By introducing this concept, you can arrange two white butterflies in a row, and then two or two can display three twos.
Use only the second row of flowers in the picture, combine the demonstration, and ask questions in order to make students understand clearly: flowers.
Compared with white butterfly, white butterfly is 1 2, and China is 3/2; If one is 2 1 serving, then the number of white butterflies is equivalent to 1 serving, and there are 3 flowers. In mathematical terms: flowers
Compared with the white butterfly, the white butterfly is regarded as one time, and the number of flowers is only three times that of the white butterfly.
Example, let the students see from the demonstration figure from "number" to "number of copies", and then lead to multiples, quickly.
Touched the essence of the concept.
6. Question and answer method
The introduction of the concept adopts the question-and-answer method, which can explore the mystery step by step in the process of questioning, answering and debating, and is fascinating.
7. Drawing method
It is the best way to learn geometry to draw the learned figures with drawing tools such as ruler, triangle and compass.
Basic ability. Through painting to reveal the essential attributes of new concepts, we can introduce these concepts from painting.
8. The calculation method can reveal the essential attributes of new concepts through calculation, so it can be deduced from students' quick calculation.
When introducing new concepts, such as "remainder", students can calculate the following questions:
(1) Three people eat 10 apples. How many apples does everyone eat on average?
(2) Twenty-three students planted 100 trees. How many trees did each student plant on average?
Students can easily list formulas, and when calculating, they will be at a loss when they see the remaining figures, which
Then the teacher pointed out:
(1) The remaining "1"in vertical form; (2) The remaining "8" in the vertical form is less than the divisor.
It is called "remainder" in division. There are many ways to learn new concepts, but they are not isolated from each other.
Even the learning methods of the same content have no fixed model, and sometimes they need to cooperate with each other to achieve good results.
The effect is good, such as introducing the concept of "fan", so that students can take a folding fan before class.
Fold from small to large, guide students to pay attention to observation, and then summarize:
First, the folding fan has a fixed shaft;
Second, the "bones" of folding fans are equal in length.
Then ask the students to make two radii in the known circle, so that the included angles are 20, 40 and 120 respectively.
Guide the students to observe the similarities between the enclosed figure and the folding fan just unfolded.
After that, the meaning of sector is summarized. Steps and methods of mathematical definition learning
The middle school mathematics syllabus points out that "a correct understanding of mathematical concepts is the premise of mastering the basic knowledge of mathematics."
Mention ". Mathematical concept is the reflection of the relationship between spatial form and quantity in the real world and its characteristics in thinking.
Concept is a form of thinking, and objective things form feelings and perceptions through human senses and add up through the brain.
Work-comparison, analysis, synthesis and generalization-forms a concept. Establish a concept, generally use.
From the special to the general, from the local to the whole observation method, follow from the phenomenon to the essence, from the concrete to the refining.
According to dialectical materialism, we can find out the external and internal relations of things.
The essence of existence. Therefore, concept is an important part of cultivating students' logical thinking ability, and concept is thinking.
Tools, all analysis, reasoning and imagination should be based on concepts and use concepts, so understand concepts correctly.
The premise of improving students' mathematical ability is, on the contrary, if we don't pay enough attention to the concept of learning, or students
Improper methods not only affect the understanding and application of concepts, but also directly affect the development of thinking ability.
Will show the low energy of blocked way out and logical disorder. Concepts in middle school mathematics mostly appear in the form of definitions.
So there must be a correct way to learn the definition. Generally speaking, there are the following links.
1. Define clearly from the process of establishing the definition.
The definition is gradually clear in the actual process of its formation. Any definition will be generated.
Its actual process, when learning the definition, we should imagine the process of predecessors discovering the definition. Judging from the process of definition formation,
Only by understanding the necessity and rationality of its definition can we understand the definition and train our thinking.
Generally speaking, there are four stages in the formation of a definition: (1) asking questions.
There are several common ways to put forward mathematical definitions:
(1) From the example. Theory is based on practice, and there are many definitions in high school mathematics, such as set,
Mapping, one-to-one mapping, function, arithmetic progression, cylinder and cone are all summarized from examples.
Get out.
(2) proposed by migration. One of the characteristics of mathematics is systematicness, so we can often learn from old knowledge.
Knowledge is transferred and a new definition is obtained. For example, the definition of a ball can be deduced from the definition of a circle; exaggerated
The definition of line can be deduced from the definition of ellipse; The definition of inverse trigonometric function can be defined from inverse function.
The definition is obtained by combining the original motion migration.
(3) Observe the presentation of figures or objects. "Shape" is one of the objects of mathematical research. Observation function diagram
Form can be defined as monotonicity, increase and decrease, parity, periodicity of function and linearity of observation space.
Using the positional relationship between straight line and straight line, straight line and plane, plane and plane, we can get different-plane straight lines, straight lines and.
The definitions of plane parallelism, union and verticality, plane parallelism, intersection and verticality, etc.
(4) From the formation process. Some definitions in mathematics are obtained through practical operations, and their operations
Working process is definition, and such definition is called formative definition. For example, the definition of circle and ellipse, straight lines on different planes.
Angle formed, angle formed by straight line and plane, plane angle of dihedral angle, etc.
(2) Explore the answers to questions.
If students understand the method proposed by a new definition, then the psychological situation must be that they have an urgent desire for how to define it, so their interest is stimulated and they actively think about the process of getting the concept.
I really want to try to find the answer to the question through my own calm thinking. This not only helps to grasp the definition of this.
Quality, but also the rapid development of logical thinking ability, improve the ability to analyze and solve problems. contrary/opposite
Naturally, if you only know what it is and don't know the process of defining it, then what you have learned is often dead.
Yes, it hinders the flexible use of definitions and the ability cannot be improved as it should be. Therefore, we should master and explore.
The correct way to ask questions.
(1) Starting from the definition of an example, analyze the example and remove its individual and non-essential.
Things, grasp their essence, abstract generalization to find the answer to the question. (2) The definition of migration should be based on the accurate understanding and application of old knowledge.
Line comparison, analysis, reasoning, seeking the answer to the question.
(3) Observe the definition of figures or objects, and use correct observers according to the purpose of observation.
Method, careful observation, careful analysis, but also to compare and seek positive and negative graphics.
The answer to the question.
(4) For the formative definition, we should do the actual operation, and at the same time, every step of the operation.
Careful analysis, find out the conditions for the operation to be carried out smoothly or the reasons for the operation not to be carried out, and write
The surgical process that makes the operation go smoothly and seeks the answer to the question.
(3) Check the rationality of the solution.
To test the rationality of the solution, we can do it through practice, or we can use the existing knowledge to make logical deduction.
Reason. If unreasonable factors are found, they should be revised or supplemented, which can not only deepen the understanding of the definition.
Solution, but also cultivate students' rigorous style.
(4) Write a reasonable answer, which is the definition.
2. Analyze the definition
The essence and key of (1) clear definition. After the definition is established, in order to form the habit of analyzing the definition, we must first read the text carefully, scrutinize it word by word, and make a clear definition in combination with the formation process of the definition.
Essence and key.
(2) A clearly defined necessary and sufficient condition. Any definition is a necessary and sufficient proposition, such as a straight line perpendicular to a plane.
Definition "If a straight line is perpendicular to any straight line in the plane, say this straight line and this one.
These planes are perpendicular to each other "; On the other hand, "if a straight line is perpendicular to a plane, then this straight line
Any straight line perpendicular to the plane still holds, that is, the straight line is perpendicular to the plane α.
Necessary and sufficient conditions for perpendicular to any straight line in plane α. Another example is the definition of ellipse "in plane and two"
The locus of the point where the sum of the distances between two fixed points f and f is equal to the constant 2a (2a > | ff |) is called an ellipse ";
1 2 1 2
Conversely, "the sum of the distances from any point on the ellipse to two fixed points f and f is equal to the constant 2a".
1 2
Another example is "If the function f(x) has f(-x)=f(x) for each value x in the definition, then f"
(x) called even function "; On the other hand, "if the function f(x) is an even function, then for the definition.
Every value x in the field has f(-x)=f(x) "and so on.
(3) Break through the difficulty of definition. For a definition, we should break through its difficulties. For example, a+bi(a,
Why does B ∈ R) stand for a number? When defining a periodic function, "for each of the function definition domains"
The values of x ",ε" and n "in the definition of sequence limit. It's hard to understand.
Think hard and try to break through, such as giving examples and comparing definitions. Deepen the understanding of difficulties,
Correct the mistakes in understanding, so as to achieve the purpose of accurately understanding the definition.
(4) Clearly define the basic nature. For a definition, we should not only grasp it, but also grasp it.
Master some basic properties of it.
(5) Reverse analysis. People's thinking is reversible. But we must consciously cultivate this kind of reverse thinking.
Ability to maintain activities. As I said before, definitions are necessary and sufficient propositions, but some definitions should be set in many ways.
Ask questions and think. For example, we can ask the following questions about the concept of a regular pyramid and think about it.
(1) equilateral pyramid must be a pyramid? (not necessarily)
(2) Are pyramids with equal angles between sides and bottoms necessarily regular pyramids? (not necessarily)
③ Is a pyramid with a regular polygon at the bottom necessarily a regular pyramid? (not necessarily)
(4) A pyramid that satisfies two of the above three items must be a regular pyramid? (affirmative)
⑤ Is the pyramid of an isosceles triangle on the side necessarily a regular pyramid? (for sure) (for sure)
Prove it, not necessarily give a counterexample).
3. Definition of Memory Only the knowledge that can be reproduced at any time in memory can help improve the ability to analyze and solve problems.
Ability, so be sure to remember the definition accurately. I don't want to say more about memory methods here, just memory.
Definitions should not be isolated. We should begin to remember when we establish the definition and consolidate our memory when we analyze the definition.
In particular, it is necessary to understand the basic structure of the definition. Because definition is a necessary and sufficient proposition, generally speaking, definition is
It consists of two parts: conditions and conclusions. The general sentence form is "If ……, then …". Or "settings" ...
Then ... "The definition of complex logical structure is generally" let …, if …, and …, then … ".
For example, the definition of a function "Let f: a → b be a function from the domain A to the domain B" here "Set ..."
Is the premise, "if ..." is the strengthening condition, "and ..." is the strengthening condition, in short.
This is the conditional part, and "So ..." is the conclusion part.
Application definition
The process of applying definitions to solve specific problems is the process of cultivating deductive reasoning ability. Application definition one
Generally can be divided into three stages:
(1) Review the consolidation definition stage. After learning a new definition, review and consolidate it. first
We should read the definition given in the textbook carefully, understand the essence of the definition, and then give examples opposite to the definition.
According to, deepen the understanding of the definition, and then answer some questions, questions and choices that directly apply the definition.
Choose a problem or calculate it by reasoning. Generally speaking, examples or exercises immediately after a definition often
It is arranged for this purpose, and we should answer it in strict accordance with the definition and with accurate mathematical language.
Don't be sloppy. If you can't say it or make a mistake, you should delve into the reason and reread it.
On the basis of reading and reviewing the definition, clearly define and correct the mistakes.
(2) Chapter application stage. After learning a chapter, you should put similar definitions in this chapter, or with the original text.
Similar definitions I have learned in the past, such as permutation and combination, spherical cap and spherical gap, function and equation, are consciously used.
Comparison methods, clear their differences and connections. Or criticize fallacies, in the process of criticizing mistakes,
Find out the root of the error, so as to avoid interference between concepts.
In addition, this chapter should summarize the knowledge related to a definition, which is related to this concept.
Examples and exercises to summarize and summarize the basic problems of applying this definition.
(3) Flexible comprehensive application definition stage. After learning a unit, due to the limitation of knowledge,
Some concepts are often difficult to understand thoroughly, and it is necessary to make up the course of this concept at a certain stage.
Especially important concepts in mathematics, such as arithmetic roots and absolute values, functions,
Necessary and sufficient conditions and other concepts. , to overcome the disadvantages of seeing the trees but not the forest, so as to cultivate analysis and synthesis.
Ability to train the thinking ability to distinguish the essence of things. Mathematical knowledge memorization method
Psychology tells us that memory can be divided into unintentional memory and intentional memory. Make memory objects in large
A deep image is formed in the brain, generally through repeated perception. Some memory objects, because of their understanding,
The obvious features can be remembered only once, and will not be forgotten for a long time. This is an unintentional memory. some
Memory objects, because there is no obvious feature, are difficult to remember even if they are perceived three or five times, and
It is easy to forget, which requires strengthening intentional memory.
1. formula memory method
In middle school mathematics, some methods can help memory if they can be composed into rhymes or songs. For example,
According to the unary quadratic inequality ax+bx-c > 0 (a > 0, △ > 0) and ax+bx+c (a > 0, △ > 0).
The solution can be compiled into the formula of product or fractional inequality: "two big letters on both sides and two small letters in the middle"
That is, the product (or quotient) of two linear factors is greater than 0, and the solution is beyond two; Product of two linear factors
(or quotient) is less than 0, and the solution is within two. Of course, when using the formula, you must first put each primary reason.
Where the coefficient of x becomes positive. When using the formula, we must first change the coefficient x in each linear factor into
Positive number. Using this formula, we can easily write the product inequality (x-3) (2x- 1) > 0.
The solution of is x 3 and the fractional inequality is < 0.
1
The solution of is-2 < x.
three
2. Classification memory method
When there are many mathematical formulas that are difficult to remember for a while, these formulas can be grouped appropriately. take for example
There is a derivative formula of 18, which can be divided into four groups: (1) constant and derivative of 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 derivative rules, which are divided into two groups: (1) and difference.
Derivative of product sum quotient compound function (4); (2) Derivatives of inverse function, implicit function and power exponential function
(3).
3. "Four More" Memory Method
Generally speaking, it needs repeated perception many times to make the memory object unforgettable for a long time. "Four shifts" refers to
Read more, listen more, read more and write more. Especially when reading and writing silently, the memory effect is better. For example, a pair
A set of formulas is simply copied four times, and B copies the same set of formulas twice and then writes it by heart (you can read it when you can't write it by heart)
Book) twice, the experiment proves that the memory effect of B is better than that of A.
4. Meditation memory method
Memory should start with calmness, and find out the characteristics suitable for your study according to certain memory goals.
Memory by points. For example, the choice of memory environment varies from person to person. Some people think they have a good memory in the morning;
Some people think they have a good memory at night; Some people are used to reading and remembering while walking; Others must be in a quiet environment.
I remember very well. Wait a minute. No matter which way you choose to remember, you should keep your mind at ease. A calm mind can concentrate on memory, and a calm mind can form the explicit excitement center of memory. Memory needs to start from silence!
5. First memory method
There are four ways to remember first:
(1) Recitation method. Memorize the operation process and results on the basis of understanding. This memory
Memory is called reciting memory. For example, the law of addition, subtraction, multiplication and division, the sum of two numbers, the square of difference, and cubic expansion.
Memories such as formulas are memory memories.
(2) Model memory method. A lot of mathematical knowledge has its own specific model, which we can use.
In memory. Some mathematical knowledge can be regularly listed in charts and memorized by charts. These records
Memory is called model memory. (3) Differential memory method. Some mathematical knowledge has a great relationship with several opposite sex. Remember it.
Son, as long as you remember one basic different feature, you can remember others. This memory is called.
Differential memory.
(4) Reasoning memory method. The logical relationship between many mathematical knowledge is obvious, so we should remember these knowledge.
Knowledge, just remember one, and the rest can be obtained through reasoning. This kind of memory is called inferential memory.
For example, the nature of parallelogram, we just need to remember its definition and deduce its terms from it.
A diagonal divides it into two congruent triangles, and then deduces that its opposite sides are equal and its diagonal lines are equal.
Adjacent corners are complementary and the two diagonals are equally divided.
Repeated memory
There are three ways to repeat memory.
(1) notation. When learning a chapter, read it first and look at the important parts.
Crayons draw wavy lines at the bottom, so you don't need to read a whole chapter from beginning to end when repeating memories.
After reading the end word for word, as long as you see the wavy line, you can retell the main memory of this chapter under its inspiration.
As far as content is concerned, this kind of memory is called symbolic memory.
(2) Memory method. When reciting a chapter repeatedly, you don't look at the specific content, but
The purpose of repeated memory is achieved through brain memory, which is called recall memory. In actual memory,
Recall that mnemonics and symbolic mnemonics are used together.
(3) Use the mnemonic method. When solving math problems, you must use the knowledge you have memorized once.
Knowledge is repeated once, and this kind of memory is called application memory. Using mnemonics is a positive memory.
Remember, it works well.
7. Comprehension mnemonics
Understanding knowledge is the fundamental condition for memory, especially for mathematical knowledge.
Master its logical structure system for memory. Because mathematics is a science based on logic.
Family, its concept, the establishment of laws, the demonstration of theorems and the derivation of formulas are all in certain logic.
Therefore, the understanding and memory of series system for mathematical knowledge mainly lies in understanding the logic of mathematical knowledge.
Edit the connection and grasp its context, only what you understand can be firmly remembered. So, this number
Theorems, formulas and laws in learning must be understood in their context and in the process of proof.
So as to remember them firmly.
The key to using this method well is to pay attention to understanding in learning. This method is not only suitable for mathematics.
Science, that is, the study of other disciplines, has a wide range of applications. We should attach great importance to it.
8. System storage method
A young man summed up his experience and came to the conclusion that "summary+digestion = memory". This is entirely based on the system.
Summed up from the memory method. Because the systematic memory method is based on the systematicness of mathematical knowledge, the knowledge is compared, classified, organized and woven into a net, so as to remember.
It is not sporadic knowledge but a string, often in the form of list comparison, or grasping the main line and the inside.
Connect important concepts, formulas and chapters into a whole.