IMPORTANCE OF MATHEMATICS
Mathematics is a creation of human mind. It is concerned chiefly with ideas, processes and reasoning. It is the key to science. Mathematics is intimately connected with everyday life and necessary to the successful conduct of affairs. We use Mathematics every day even without knowing it. Our whole world is surrounded by Mathematics. Whether we dial a number to call someone or pay our bills, we need numbers.
Use in kitchen - We have to measure the quantities of ingredients to cook food. It is possible because of the mathematics.So the concept of Math is very essential for day to day life.
Shopping - Before going to market, we prepare a list of items we require and calculate the amount of money required. This calculation is based on numbers. Without them, we cannot decide how much you need to pay to the vendor and how much we have saved. So in the case of shopping too, we are surrounded by the world of mathematics.
Banking- In banking sector, number of concepts of mathematics are applied so experts need to have a good command of the subject. Handling the transactions of the bank is not simple and we require knowledge of mathematics to maintain our accounts. Whether we deposit or withdraw money, We need to calculate. If you wish to take a loan, you should have an idea about the interest you have to pay and what would be the monthly premium that you would pay. In short, the banking sector is completely related to math and so even the customers need to be familiar with it.
Travelling - While planning your vacation, you have to save money, book your hotel, tickets etc. It requires budget planning and understanding of mathematics. From the travelling distance to its cost, bus tickets, hiring cabs etc all requires math.
Thus from the above examples we conclude that there is no such area where the concept of mathematics is not used. We cannot survive without this subject. So instead of hating Math, students should enjoy it. If we invest our time in solving Math problems today then we will get fruitful results in future.
Difficulties faced by students while solving math problems
Problems and difficulties are categorized into 3 categories.
1. Personal problems - related to school expenses, lack of interest and negative attitude towards the subject.
2. Emotional problems related to excessive stress in doing academic tasks and low self esteem.
3. Teacher's instructions - Sometimes teachers are not creative enough to adapt his method to learner's capability.
Apart from this, there are several other problems due to which students fail to understand mathematical problems.
Lack of comprehension
Lack of strategy knowledge
Inability to translate the problem into mathematical form
Inability to use the correct mathematics
Students don't understand the problem carefully. As a result they fail to make a proper strategy for the problem. They are incapable of translating the problem into mathematical form. Thus they are unable to solve the problem.
Few Math Topics :-
1. Understanding of problem is the first step to solve math problem
2. Devising the language of the problem is the second step.
3. Carrying out of the plan by applying suitable formula is the third step.
4. Looking back and answering the problem is the final step.
I am explaining one example to solve simple math problems
Q: A kindergarten class is playing with some teachers. One ticket cost is 5 dollars for children and 12 dollars for adults. Total no. of tickets sold amount is 163 dollars. How many teachers and children went to the play?
A: Firstly, make sure you understand the problem.
How many adult tickets were sold?
How many children tickets were sold?
Lets guess and check:
Pretend that 3 children tickets were sold and 17 adult tickets were sold
Total cost = 3 × 5 + 17 × 12 = 15 + 204 = 219
the total is too high.
Now let's pretend that 14 children tickets were sold and 6 adult tickets were sold
Total cost = 14 × 5 + 6 × 12 = 70 + 72 = 142
Now the total is a little low.
Pretend that 12 children tickets were sold and 8 adult tickets were sold
Total cost = 12 × 5 + 8 × 12 = 60 + 96 = 156
as you can see, amount goes higher again and it gets closer to 163. May be 11 tickets for children and 9 tickets for adults will work
Total cost = 11 × 5 + 9 × 12 = 55 + 108 = 163
Thus 11 children and 9 teachers went to the play.
We have to make a list to solve this type of Math problem.
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