By teaching students at right directions, everyone of them can be a genius in any field.
Proof: In some cultures, learning is the process of memorization without given any explanation by the teacher, but such cultures had produced many of the greatest master pieces in the world of literature.
Mathematics is the study with the use of abstraction and logical reasoning, evolved from counting, calculation, measurement, etc. to establish the truth from appropriately chosen axioms and definitions. Without definition and axiom, mathematics can not be exist.
With the acceptance of the definition arises many theorems which are the short cuts for exercises doing without going back to definition. In short, you can use the definition to prove theorems as well as exercises.
All mathematical questions are based on given hypothesis arises from the definition, then to prove certain results.
If you completely understand the definition as it is, then there will be no reason that you are not good in Math.
One of my good friend who is a math professor in the university told me once '
"Mathematics is a most lazy subject of human world if you can utilize your logical and analytic skill".
One more thing which you should know is our brain differentiats better in pictures than words.
Let me get into the answer, How to do math well in high school. The article will be written under formation of a math question.
Given There is a student not good in math but wants to do well.
Given a parent or parents will provide all supportive during the 13 weeks of hard work.
Assuming that the hypothesis is true, prove that the student will have an average of at least 80%
in math this school year and onward.
The requirement for the success is 2 hours a day, working on math problems in a duration of 13 weeks.
1. Once again, if you still want to be good in math, if your answer is yes, keep reading, if not, you can stop now. I don't want to waste your time.
2. How to start
Can you solve the math problem,
a. If you can, the keep doing for exercises.
Applications are harder, because they require an experienced analytic skill, you should try to put them into a picture, list everything is given, if you can, try the next. If not, read it again. if you still can not solve it after few attempts, Stop and think............
If you can not get it, ask your teacher to solve it and remember what you didn't get.
b. If you can not, there are few ways you can do it
b.1. If your parents can, ask them to solve a few questions in the subject
b.2. If you parents can not, ask your good friend and schoolmate at school
b.3. If no one help, ask your math teacher to solve a few questions
Can you solve other similar problems now, if you are, the follow the step (a).
If you still can not, then try to solve the same problems just solved by others (b).
If not, restart with (b), this time ask questions in any step which you have hard time to understand, then redoing the same problems just solved again with reasoning.
This step is one of most difficult task in 13 weeks duration. Some of my students require 3 -4 weeks to achieve.
For parents, your child needs your support and encourages in this stage, please provide them with a quiet environment and ready to help manner.
3. Now you have entered the easier stage. Most students after 3-4 weeks intensively working, now start to do the problem solving themselves and occasional helps with application.
4. This is the 8th weeks of the 13, most students now have masterminded the problem solvings and applications. At this stage, you get at least 80+% in math test.
The progress is so fast, in eight weeks, you have improved your marks by over 100%, that your math teacher will put a careful eye on you to make sure that you are not cheating in the test.
5. At this stage, your parents may surprise that math is the subject that you try to do first in home study.
6. You are approaching the 13th weeks now.
Well, in fact you can understand them without problem.
7. 13 weeks of intensive studying are almost over, you now can do math just like other courses.
Math now is considerable a very easy subject as you have build up yourself an analytic and logical skill without even noticing.
For high school students and non math major college students, it is more than enough to make a grade A in Math, but for math major college students, success is based on how you can utilize the definitions and Axioms to prove the theorems and applications.
Good luck to your journey
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