Thursday, 17 May 2018

How to Prepare for IIT? 8- Notes of Mistakes


Whenever you do a mistake. Analyze it and put it in the notes of mistakes in the given categories. How to categorize , what are the types of mistakes and what is the meaning of those mistakes?
Type of Mistakes:
1- Conceptual Mistake
2- Calculation Mistake
3- Never Heard type Problems
4- Recalling Problem
5- Literature based problem
6- Mishandling Mistakes
Let us understand the mistakes in detail.
  1. Conceptual Mistake:
Which kind of mistakes should be put in this category? How these kinds of mistakes happen? What are the possible sources of this kind of mistakes? As name suggest conceptual type. These kinds of mistakes are very dangerous. Improving and correcting it takes time. Recognizing it, is a very tough job. So be careful and if you knew it somehow don’t leave it. Let us understand it.
  1.  If you know some facts, you are very sure about but what you know is wrong. Like let us take a fact “moon rotates about earth.” But suppose someone told you or you read it wrong somewhere that earth rotates about moon. It is a conceptual mistake.
  2. If you know some fact or theory but you don’t know it completely or don’t know the conditions in which it will be applied then you can do conceptual mistake. Like
Q: Number of solutions of log4(x – 1) = log2(x – 3) is
(A) 3 (B) 1 (C) 2 (D) 0
Solution: log4(x– 1) = log2(x– 3)

log2(x– 1) =2 log2(x– 3)

 (x-3)2 = (x-1)

x2 – 6x+9=x– 1

 x2 – 7x+10=0

 (x– 2) (x– 5)=0

 x=2, 5

Looking into the solution one might end up with the option (C) as no of solutions=2.
But answer of this question is option (B). Because x=2 is not an answer of this question.
As conditions (x– 1) >0 and (x– 3)>0 is being violated when x=2.

How to minimize conceptual mistakes?
If you have solved the problem confidently and there is no calculation mistake then chances of mistake is conceptual mistake. Take advice of some friend of yours or ask your teacher, show him your solution. Search in solved examples of the book or study material or solution of test papers. After getting the right answer don’t forget to update it into “Notes of Mistakes”.
  1. Calculation Mistake:
These kinds of mistakes are easily identifiable. Just after the exam or whenever you will revise probably you will find it.
Like 4+2=8. Is it correct? No, this is a calculation mistake.
To minimize these kinds of mistakes one has to do a lot of practice of calculations.
  1. Never Heard Type Problems:
If you come across some terms or being asked to find something you haven’t heard about. Then put those problems in this category. Search that topic and get your knowledge updated. Put it in your notes.
Q: Find the number of positive integers which have the characteristic 3, when the base of the logarithm is 5.
Suppose you haven’t heard about “characteristic” then you won’t be able to solve this problem. Learn about “what is characteristic?” then solve it.
This can be minimized by covering the syllabus in a comprehensive matter.
  1. Couldn’t Recall Type Problem:
This is memory based problem. We often forget things. Suppose in the examination, You come across some problem you have solved it earlier or you read about it but not able to come up or being confused between the facts.
Like suppose there is a problem of match the following one column is of substances and other column is of colors. One might forget or become confused in some substances.
People often think that this kind of problems can’t be minimized but that is not the reality this can be minimized as well. We will talk about it later in few posts , how one can increase memorizing power?

  1. Literature Based Mistakes:
This might seem funny but it happens sometimes students know the scientific terms but literature might create problem in understanding the problem. Basically it is a problem of vocabulary and getting the meaning of sentence as a complete. These kinds of problems are faced mostly by the students who have changed from Hindi medium to English medium.
The acceleration due to gravity at the moon is one-sixth that at the earth, but the law of gravitation is the same both on the moon and the earth. This symmetry of the laws of nature with respect to translation in space gives rise to conservation of linear momentum. In the same way isotropy of space (no intrinsically preferred direction in space) underlies the law of conservation of angular momentum. The conservation laws of charge and other attributes of elementary particles can also be related to certain abstract symmetries. Symmetries of space and time and other abstract symmetries play a central role in modern theories of fundamental forces in nature.
Read the above paragraph. Are you getting, what it wants to convey? Some of you may find two problems here. One you may find words which you are reading first time or don’t know the sense of it. Second you may find it difficult to link the sentences. Sometimes literature based problems leads to conceptual problems as well. One might get confused like.
a(moon) = 6*a(earth) or  a(earth) = 6*a(moon); where a=Acceleration
How to minimize these kinds of problems? Reading habits can minimize these problems. My advice is read “NCERT BOOKs”. Your vocabulary will improve and will be able to get meaning of sentences and be able to link the meaning. Initially it might be frustrating for you as it will take a lot of time to read and understand one page on NCERT but don’t change your mind. Slowly your reading habit, vocabulary, understanding and speed all will improve.
Why NCERT? Because NCERT is the basic book prescribed by CBSE (Central Board of Secondary Education) and in competition terms used are from these books.
  1. Mishandling Mistakes:
The mistakes that can be put in this category are as following:
  1. Question missed completely or a part of it.
  2. Marked question no wrongly.
  3. Filled bubble of a question in another.
  4. Mistake in filling OMR sheet.
These kinds of problems arise due to examination pressure, tension, daily routine, food habits, lack of confidence.
To minimize these kinds of problems take “Test Series” seriously. Practice a lot. Increase your concentration. Daily routine should be as the routine of the examination day and it should be followed strictly at least a month before the examination day.

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