Mathematical Reasoning

In math online tutoring, Mathematical reasoning is technique of problem solving without knowing about what will be done for solving the problem, if you know about the methods of solving the problems then it will not be defined as mathematical reasoning.
Mathematical reasoning has problems that does not occur in daily life and they are not solved by using any procedure or method but these types of problems are solved by making some strategies that is not defined anywhere and also these are not based on the single rule or perception but have variety of strategies for problem solving.
These problems do not follow any procedure or rule and if you are stuck anywhere at any time because of some problem then you have to do something to solve the problem without following any rules and regulations occur at that time.
Examples (from central board of secondary education) of problems related to reasoning are:
Like write the numbers that are made from 11 tens, 8 ones and 2 hundreds?
Like If Jon has 23 chocolates and he put equal number of chocolates in two bags and after putting seven chocolates are left then how many chocolates he put into each bag?
These are some problems that are needed little bit attention by the solver to solve and because of this; problems are known as mathematical reasoning problems.
We can take an example for multiplying the number 36 * 17, it will be solved as by multiplying them but for solving this problem in minimum time add 4 to 36 that is equal to 40 and add 3 in 17 to make it 20 and multiply them that is much easier than the multiplication of 36 * 17. So answer for multiplication of 40 * 20 = 800 then subtract 7 (4+3) from 800 that is equal to 793, is the answer.


In upcoming posts we will discuss about column multiplication and Elapsed time problems in Grade IV. Visit our website for information on how to do trigonometry

Steps in problem solving

While math problem solving, the concept of the different operators must be clear to the person and it must also be known that which operator should be used to get the solution to the given problem.
 We find that the Steps in problem solving should be known and must be clear to the person who is involved in solving the problem.  Different word problems have different solutions. While solving the problem, we should first try to understand what the meaning of the problem is and what the requirement of the solution is. Once the problem is clear, we take care that which operator will be used to get the solution to the given problem.
If we remember certain key words, and for what purpose these words are used, we will easily be able to get the solution to the given problem. So we will look at different words and for which mathematical operator these words are mean for.
Let us start with the “+“operator that we have earlier studied in CBSE. If the problem has the  word ADD, Sum, Total, IN ALL, MORE, increased by, Added to , then these words are used to represent the Addition operator of the  given problem. On another hand, if we have the following words in the word problems “REDUCED”, “SUBTRACTED”, “DECREASED BY”, “LESS”, “DIFFERENCE”, then it is clear that  in the given problem we need to find the  difference of the  two numbers.
 Now we look at the multiplication and division. In case we have the value of unit object and we need to find the value of more than one object, we will multiply the given numbers. More over we say multiplication is used for repetitive addition. On another hand to divide or distribute the object equally we write divide.


In upcoming posts we will discuss about Mathematical Reasoning and Numbers and Operations. Visit our website for information on probability worksheets