PROBLEM SOLVING

In this discussion, it will be discussed the necessary capabilities of the students in problems. Their abilities are very vital in difficult arithmetic problem-solving. Critical thinking abilities are one of the most important factors in problem-solving. Difficult arithmetic problems are preferred by those students who have critical thinking abilities related to their problems. It enhances their mental power. This study will also discuss the importance of backward methods in difficult arithmetic problem-solving. It is one of the most important necessary steps to quickly find an answer while doing arithmetic related problems. 

Arithmetic problem solving is not an easy task for the student because of students. For solving difficult arithmetic problems it is necessary to become a deep thinker. Deep thinking capacity is an essential capability of students to solve any kind of arithmetical problem. It helps to critically analyse different factors of any problems. It is necessary to break any difficult problem into small portions or segments. After breaking big arithmetical problems into small portions, students should have to focus on small portions or segments of any big problems. 

Continuous practice 

Continuous practice of difficult arithmetic problems is another important necessary step in solving arithmetic problems quickly. It enhances students’ thinking power and their passion for deep thinking to solve difficult problems. Continuous practices build habits of students to solve difficult problems which may be their academic or non-academic problems. It is one of the most important factors which is very crucial for the students in increasing their interest in solving any problems. Simplification of difficult problems is another necessary step to solve tough arithmetical problems. Simplification helps to think simply of any difficult problems. Try to simplify any difficult problems and try to remove any kinds of restriction related to the problems which are very crucial in solving problems. Restriction in problems makes the problems more complicated and complex and for which students lose their interest in problem-solving. 

Focus on those which are not used yet 

Another important step in problem-solving difficult arithmetic problems is to try to use those things which are not used yet. It helps to think differently to solve any difficult arithmetic problems. The used portion of any problem gives more relevant resources of any problems which help critical thinking of any problems. From a long-term survey related to education, it was found that backward methods of the solution provide quicker solutions to any difficult problems. Backward methods of problem-solving first focus on the question that has to be solved in any problem. After that these methods focus on relevant formulas which may be useful to solve the problems. It is one of the most effective methods of problem-solving because these methods directly focus on those parts which are actually necessary to solve any difficult problems. 

Backward methods

Backward methods of problem-solving help to reduce time and increase interest among students. In these methods, it is possible to quickly find the solution to problems. Some difficult arithmetic problems are not solved after passing long periods which decreases the interest of students to solve these problems. In this case, students should have to take a break which gives them refreshment and positive energy to solve difficult arithmetic problems. To take a break in problem-solving it is necessary to start early on any problems which are very crucial for the students. Starting early gives them more time to think and solve any problems that are an opportunity. It gives them more opportunity to break into any problems. 

Enhance brain power 

To solve difficult problems in arithmetic it is necessary to increase brain power. Taking rest is another important necessary step in increasing brain power. The brain power of any individual is very important in problem-solving because they have to be capable of deep thinking. Hard work is the most important problem-solving tool not only in the fields of mathematics but in all fields. Hence the students must become hard workers in their problem-solving. It is not easy to solve difficult problems with less hard work. Students should never give up on their problems because they to mentally tough in difficult problem-solving. 

Conclusion 

Based on the above discussion it can be concluded that students should have to do hardware to increase their ability in problem-solving related to difficult arithmetic problems. Hardworking capacity increases their passion for keeping themselves engaged with their problems. Continuous practice is also necessary to increase the problem-solving skills of students which helps them to solve difficult problems. Skill development is essential in difficult arithmetic problem solving which is done by continuous practice and hard work. Without hardworking students cannot succeed in their critical thinking and skill development.