No less than can encounter such problem with many classmates " my attend a lecture can be understood, but won't become a problem, how is this to return a responsibility? " actually the problem gives such classmate great majority here:
You understood 1) only the knowledge of low administrative levels, without development, the height that the thing short of of place control uses;
Some 2) classmates are satisfied with a smattering of a subject, an example teacher explains 3 kinds of methods, other solution listens no longer after he understands a kind;
3) understood knowledge, but did not remember, or did not figure out how to apply;
4) lacks the guidance of mathematical thought and mathematical method, resembling equation thought, classified discussion thought waiting is serious mathematical thought and method;
Additional, because hope is scant,still have some of fellow student, think maths is very difficult, so flat do not listen, lost introductory process so, because this does not have law development more.
We want to learn maths, but " since want to learn from good examples, why to learn from good examples? Why to learn from good examples??
Learn mathematical requirement: The convention is good; The foundation is good; The method is good. This is called study to go up " 3 good students " , 3 good happen by chance one good (achievement is good) , be short of one cannot.
One, good convention
Good convention is the requirement that obtains outstanding result, can get twice the result with half the effort. What is good convention?
(1) assiduous
Diligent: Write down more (classroom note, good subject, good solution, complex problem this) , do more (exercise) , much summary (intellectual summary, method summary) .
The eye is diligent: See textbook, extracurricular book, note, complex problem more this.
Ear is diligent: Attend a lecture is careful.
The mouth is diligent: Ask more, the problem is solved in time, do not take future trouble.
The head is diligent: Think more, wait to knowledge, title not only what is should be being cleared up, how to do, a few to think more even why?
Among them the most important is to start work with beat one's brains.
(2) thorough
The knowledge that learns to place not only want to remember, and how do had better be being cleared up come? How to in solving a problem, use? Do not satisfy at can be being done to a few good subjects, how is considering solution even thought out? Which kinds of method is better?
"Meeting " have different arrangement:
Knowledge: Know → understands → to remember → can use → promotion
Solve a problem: Can do a meeting that inscribe → to do a kind of problem → is applied neatly and innovate
(3) rigorous
Maths is the most rigorous course. Knowledge wants rigorous, solution problem wants rigorous. Not rigorous, encountering a title is not to won't be done, solve namely not complete, notch not complete.
(4) other
A, give up drops abuse: Network, TV, mobile phone, want to turn them into study tool.
B, do not look for excuse: When result is bad, want to seek oneself account more, do not want blame god and man. Same teacher, same fellow student, same textbook and reference book, same examination paper, achievement however the difference is very big, because this is main,the reason is in individual. Mask real reason with excuse, go against solve real problem.
Expostulatory: Study is his thing, anybody cannot monopolize replace! The parent, teacher is chef, can do meal more deliciously only, have nutrition more, better digest, but only you love meeting having ability to have the effect.
So, as the student, want to realise oneself are studying medium position; As the parent, wanting what basically should do to notice you is the enthusiasm that arouses the child, him child is moved rose, ability can have good result.
2, good foundation
(1) ABC wants solid, want to carry cent to must have capital
Cite a not quite suitable case, this is just like be in business, you invest 1 yuan of money, although gain 100% , namely 1 yuan profit, but if invest 10 thousand yuan, even if gain 10% , profit also has 1000 yuan. So, want to learn achievement to have rise greatly, must want to have solid intellectual reserve. So, if you have base of 20 minutes, rise 100% , just arrive 40 minutes.
Raise a few proposal:
A, ego makes up for: Of elementary school or junior high school, can fill oneself, the age grew, intelligence rose, it is very difficult to learned to rise in the past look possibly now to understand.
B, tutorial: To the knowledge of high school, can look for what the teacher has specific aim to undertake guidance. But should understand, tutorial is lash-up measure only, cannot have dependence.
C, data: Have the aid of is certain data, OK and fast compensatory ABC.
I often tell a student, ABC is not all-purpose, doing not have ABC is absolutely incapable. This is the concern that discusses knowledge and solution problem, intellectual dot understood, not regular meeting solves a problem, but the intellectual site that uses did not master, criterion 100% won't solve a problem.
(2) next hard work walk out of vicious circle
Benign loop: Capability of → of more of problem of little → solution is stronger when doing problem fast → to use → becomes a problem faster
Vicious circle: Solution of the many → when doing problem slow → to use inscribes fewer → ability poorer → becomes a problem slower
Once enter vicious circle, the student is very pained. The way that settles vicious circle commonly is " evil fill " , it is the family rests you endlessly, the someone plays you little or do not play. Pass the effort of period of time, form benign loop gradually, the problem goes after can become very easy. Had gone especially, become poor suddenly the sort of, such very the canal uses.
3, good method
1, prepare lessons before class is very important: Often by oversight, reason: Do not have time, look not to understand, needless wait. Prepare lessons before class is the necessary process of study, still raise the good method that teachs oneself ability.
2, attend a lecture has knowledge: Hear an analysis, listen to train of thought, listen to application, crucial content one word does not leak, note a record.
3, become very complex problem this: The student that every meeting learns can have. Had better add again " good subject this " . Discover a lot of classmates do not have complex problem this, perhaps do only need not. Such study results are bad.
4, with very extracurricular book: Know network course and extracurricular book correctly, it is non-staple food, it is the fine medicine that the help absorbs, not be the substitute of classroom study absolutely.
5, the attention sums up and think over: Intellectual dot, solution inscribes method and skill, experience and lesson
6, the guidance that accepts mathematical thoughtway: Want to notice the guidance of mathematical thought and method, stand high, ability looks far.
Additional, a good study is used to also is the requirement that maths divides high, the study that the promotion of mathematical achievement needs to last is accumulated, need the study with good nurturance to be used to more at the same time, children will be lifelong accrual.