Mathematics Problem Solving

Mathematics is a development of the human mind that is primarily concerned with thoughts, procedures, and reasoning. It’s a lot more than arithmetic, more than geometry, more than algebra. There’s also much more to it than trigonometry, statistics, and calculus. Mathematics contains them all. Mathematics is a way of thought, a way of arranging logical facts. It offers an insight into the influence of the human mind as a way of thought, so this forms a very useful discipline of teaching-learning programs for school subjects in the world of curious kids.

Science such as Physics, Chemistry, Biology, Medicine, and Engineering are emphasized in this new era of science and technology. Mathematics, which, by every criterion, is a science, is also an effective and essential instrument used by all of these sciences. All these sciences are, in truth, advancing only with the help of mathematics. So it is aptly stated, “Mathematics is a Science of all Sciences and art of all arts.”

It is important to solve problems in mathematics as kids need to apply and transfer their understanding of how to solve calculations into daily situations. It is necessary to allow children to deduce what algorithm is needed in a given situation and the way a problem is solved (NCTM, 1989) is an essential skill, in addition to arriving at a correct answer. Also, the NCTM recognized that teaching problem solving to children improves the skills and abilities that are used in daily life, improving the inquiring mind, tenacity, and receptivity to problems.

Hence, problem-solving is a mathematical process. As such it is to be established in the Strand of Mathematical Processes along with Logic and Reasoning, and Communication. Eventually, a “solution” is the entire process of solving a problem, comprising the method of obtaining an answer and the answer itself.

Few Mathematics Study Tips

Mathematics is an area in which several approaches can be taken to solve a problem. This step-by-step, streamlined approach will help you unravel the answer to even the most complicated math problem. Math is a subject that is easy for some learners and complicated for some learners as well. Math challenges can be overcome in several ways, but now the question is how to solve math problems. Here are a few reasonable tips for you:-

1. Creating time to learn and a quiet environment: Maths is a difficult topic that needs your absolute attention. Stop the desire to multitask in a noisy environment or to research. By finding a quiet place to research or applying other strategies that resonate with you, you can also create a peaceful atmosphere for learning. Some studies show that it can boost your focus to listen to slow and calming music while studying. Try adding such music to your playlist and find a place to research that is free of distraction.

2. Practice, practice and more practice: There are a variety of ways to learn mathematical skills. With the aid of a mentor or using software to develop math skills, you can learn math problem-solving skills at school. It is, however, difficult to learn how to solve a math problem without practice. Training makes you perfect and lets you correctly perform mathematical tasks. To practice basic math problems and drills, use your spare time. Your problem-solving skills in mathematics will improve in time. The more you practice answering maths questions, the more confidence you make. Owing to a lack of trust, most students can not do maths correctly.

3. Read carefully, understand, and identify the type of problem: Check the type of problem—whether it is a word problem, involving fractions, quadratic equations, or some other type—when you first start studying math. Before you go on, describe the category in which your math problem falls in, as it will help solve it with the best solution. It is incredibly important to read the problem carefully to ensure that you have correctly interpreted the problem to take the next steps.

4. Draw and review your problem: If you have grasped the issue, the next move will be to define the issue as it will assist you with the path forward. In the form of shapes or shapes with numbers, the drawing can be simple. You will possibly also search for patterns here or make use of graphs. You need to check the analysis you have made out of it until this whole comprehension, reading and drawing process is conducted. This will help you to determine the sort of problem and the method to figure it out.

5. Develop the plan to solve it: Firstly, the formula you use to solve the problem needs to be worked out. You need to spend some time here reviewing the concepts in your textbooks that will help you solve the problem. To get the answer to your query, you need to write down your needs. To do this, you need to build a step-by-step list of the items you need to solve the problem and help you keep organised as well. You should make an educated guess about the reply so that before you start solving it, you can try to get the estimation of the reply. The number and other variables that will lead to the same can be defined here. Finally, study the estimate and then check if anything hasn’t been left out.

6. Solve the problem: Once your strategy and method to solve the problem are ready you could start solving it. Make sure you complete all the measures you have mentioned to solve the issue. To ensure that the accuracy is fine, cross-check each of your responses. Compare the response with the estimates you mentioned after every phase has been completed, the result is not what you were hoping for, you will have to save time. Also, check if you have carefully completed all the steps. You can go back and look at the procedure after you have solved the issue correctly. Take a moment to think about the issue and the strategy by which you have overcome it. This will assist in describing principles that you need to master when learning.

Maths home tutor in Delhi

Anything you used to struggle with, by choosing a private math teacher, will soon become much simpler as they offer a customized curriculum focused on your learning style. The best math tutor can invite you to meet you to discuss where your issues lie before you schedule your first ‘actual’ lesson together. To decide your starting level and how to handle the content of the course, they will use this. To teach core math, they could opt to use active math games or show you fun math tricks. Tutoring services include tailor-made assistance to ensure that the teaching suits the student so that the student does not need to adapt to suit the subject. And for enhancing your maths you can join S K Singh Maths Classes in Delhi.

Mathematics is one of the core subjects of our learning angle from class nursery to 12th, Engineering, IIT, and advanced Ph.D. Though many of the students find it interesting, still Maths is the most confusing subject to solve complex questions, equations, and apply probability. It has been made easy with comprehensive Math tutoring and build for the future with a sophisticated learning curve.

With S.K Singh Bhaskar in Delhi, you will be a part of the comprehensive process for bestowing students a clear path for their future and be ready to challenge with excellent preparations. He provides the best tutor for each student that can help your child to learn, understand and improve himself/herself in this subject. His specialization is private and online Maths tuition for all national and international certifications.

Private Classes can lay down the foundation for a strong learning curve in the students in Delhi maths classes. Tutors put their whole focus and undertakings on a single student in the comfort of their homes. And with all the hustle and bustle in their current life, students need that coach or mentor to assist them to teach things completely. Online sessions have become a factor and parcel of today’s education culture. Facilitated internet connectivity and the use of contemporary devices has led to an intense rise in Maths online teachers. You can book personal online classes to admire a satisfying Math practice session to complement the requirements with S K Singh.


Struggling in math can influence a student’s confidence and desire to go to school. Tumbling behind in just one grade can begin a lowered spiral of lowering grades in other classes since a student’s confidence falls. By discovering the importance of a math tutor and receiving one to help a struggling beginner, you can boost their confidence and give them the proficiency to enjoy class furthermore. Math tutors can give students the skills and capacities to succeed not only through math but through their entire school life by offering assistance and individual learning plans. Math tutors enhance confidence, modify study habits, and can help students to formulate for college by offering advanced equipment.

In order to discuss about mathematics problem solving, first we need to know what is “problem solving”. Definition of Problem solving can be vary according to context or discipline but in general terms we can define as finding solution of problem which is complex and difficult. Problem solving is the process which contains set of steps which include:

  • Identify the problem
  • List down possible solutions
  • Pick best one among all
  • Test or evaluate the solution

Identification of problem:

In first step of problem solving process we have to identify the issue or the context where problem or issue lie. It is very important to understand the nature of problem.

Listing solutions:

When we get complete understanding of problem now its time to think about its solution. We should think more then one solution of any problem. The most common technique of listing down any solution is drawing mindmap.

Select solution:

After listing down all possible solutions now its time to pick one which is best among all.

Test the solution:

Providing a solution is not just enough, we must have to evaluate it or test the given solution according to the criteria and nature of the problem.

Problem solving tools:

Many tools are using to solve problem. Some common tools are listed below:

  • Flowchart
  • Mindmap
  • Charting software

Are most common problem solving tools.

Problem solving strategies:

There are number of problem solving strategies use according to the problem. Below is most common and simplest strategy of problem solving.


This strategy itself contain two strategies, i.e guess and check and guess and improve. Guess and check is simple one as anybody can guess and evaluate either their guess is correct according to the situation or not. In comparison guess and improve is little bit difficult, in this strategy you need to improve your guess with the help of last guess which may not correct or half correct.

Mathematical problem solving:

Mathematical problem solving is the process in which you have to think and try to make sense about problem and its nature then apply or tends to apply the knowledge which we already have to solve the problem. The steps of solving mathematical problems include:

  • Identify the problem: this includes to identify and to know everything about the problem, i.e what the matter is, how can we mould the situation according to our scenario and what happen when it becomes according to us and when its not. These question helps a lot in identification.
  • Analyse the problem: by doing this step we will be able to know that at which stage our problem lies. By analysing this we will be able to identify the seriousness of problem.
  • Describing the problem: at this stage we will have complete knowledge about the problem so we just need to write it down to make a statement in correct context.
  • Look for the cause: in this step we need to look and analyse the origination of problem that from where does it occurs and who created.
  • Develop list of solutions: now we have to think about solution and develop a list of alternative solutions, once we have done with the list now we need to give then number according to best possible to least.
  • Implement the solution: we have complete understanding of problem and its possible solutions now we need to make some plan about implementation of solution.
  • Measure the result: after implementation we just need to evaluate either the solution is for correct context or not.