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Best Methods to Learn Rigorous Mathematics 

Mathematics is considered one of the most difficult subjects to cope with.  In all educational portals, mathematics receives the majority of questions and the most common internet search becomes, “do my math homework.” But is mathematics that tough? Is it beyond an average student’s comprehension? Is it possible to set aside the negativity surrounding mathematics in high schools?

Well, this blog tries to penetrate such questions and gives out some solutions to make rigorous math learning more student-friendly. So, stop searching with, “who can do my math homework” on the internet and follow the points given below. 

Understand the meaning of mathematical reasoning

You have already asked, “Is there anybody who can do my math homework for me?” But why do such questions even arise in our minds? Probably because you consider math only as one of the subjects you need to pass at the end of the year. But have you engaged in the daily life necessity of mathematics? 

Mathematical reasoning not only deals with your math subject. Rather it is the application of mathematical tools to all other fields of life. This is probably the best way to communicate, plan and organize your thoughts. So, don’t be hesitant and constantly search “how can I pay someone to do my math homework?” Instead, develop your mathematical mind. 

Advance discussion power

Mathematics is not about problem-solving alone. If you fear math, you will only focus on your impending problems and contact only those people to whom you can say, “I need help with my math homework”. 

But that might not be the case if you ask questions about why you are solving a problem in a particular way and not others? What is new in each problem? Rigorous math is not about tricks and aptitude. It is all about following a long chain of events. 

Never make terminological errors

Well, it might be important to understand concepts well beyond everything, but sometimes you just need to remember things just for the sake of convenience. If you don’t focus on terminologies and phrases, chances are you will forget the steps too. 

Sometimes you can remember terms by practical usage as well. Like ‘units’ or ‘group’ or ‘exchange’ etc. Carry a math dictionary and glossary of terms and expressions always at the math class. 

Improve your tests

You may think your concept and practices are enough to ace tough mathematics exams. But that is not the case all the time. You may not notice the loopholes in your examination strategies. 

Test papers and modules are quite traditional yet inevitable for math preparation. But there are a host of online applications which organize solo tests, quizzes, explanations, etc. to provide greater depth in maths learning. 

Create your problems

Your teacher may have taught you to solve problems only and not look at the origins of the problems. Problem creation and analysis are part of any creative learning process across disciplines. 

The main aspect of creating a problem is an analysis of a situation. Problem creation and situation analysis are both sides of the same coin. Let’s assume you have a statement saying 5 men and 5 women are standing in a queue. Just using this situation a simple problem is, “what is the total number of people in the queue?” 

However, you can use different applications of math like “combinatorics”. It considers the external impacts and can create more creative problems it. 

Go beyond biases

A prominent way of learning rigorous mathematics is to move beyond a fixed pattern of thinking and analysis. Sometimes when you encounter the same problem with its theoretical perspective, you will expose your own bias regarding the approach you were familiar with. 

A simple problem may help here. 

  • Let’s assume, a question demands two numbers when it provides the summation and difference between them. As students are familiar with positive integers so far, they expect solutions in positive integers only. 
  • Let’s say, find two answers where the added value is 9 and the differentiation value is 2. Most of the students will immediately conclude; it is a wrong problem, as no definite answer is possible. But the numbers are 5.5 and 3.5. So, the bias of expecting a whole number is exposed by new avenues of approach to the same problem. 

Use analogy to find results

Analogical thinking is applied in many fields of education. It is very useful for rigorous mathematical studies as well. 

Analogical thinking simply means asking questions about the problem even when there is a straight path to answering it. When you ask yourself, “can you solve the problem which relates to this?” or “can you make the solution simpler?” This you are nudging the students for analogical thinking. Have a look at the following problem for a better understanding. 

  • The vertex which is situated at the opposite of the base of a pyramid is called the apex. But call it “isosceles”, particularly when the distance of the apex is the same from the base vertices. Now prove that the isosceles pyramid’s base is engraved in the circle, whose center is the bottom of the altitude of the pyramid. 
  • You can use the analogous theorem applicable for isosceles triangles. The altitude’s bottom is the middle of the base. Hence, if you apply the isosceles triangle’s formula, you can easily resolve the pyramid’s problem. 

Develop contrasting thinking power

You can understand the perspective of the same problem better if you contrast your problem from a different angle. 

Assume, you are drawing your geometry shapes and figures in a globe or a ball-like shape instead of a paper. Then, prepare a list of possible differences you may discover in the change of the medium. If you draw a straight line across the globe, you will end up in the same line. 

Hence, you are changing all your outcomes. You are distorting the space which will create different figures of distance. 

These are some of the creative tools to learn mathematics. The focus should be the idea of an application and not the blind application, just to solve the problem. Maths has its fair share of theoretical understanding too. It’s a great tool to develop critical learning too. Many schools have separate courses for critical learning skills development for students. The majority of those are mathematical courses separate from the usual classwork. Mathematics is probably the most creative piece of art that you can master if you follow these steps. All the best. 

Author – Robert Smith is a digital educator, and academic counselor working on behalf of a reputable firm in Australia. He is currently associated with the academic writing services platform Also, he is a fitness trainer and yoga teacher.  

Disclaimer: The information in this article is provided for general education and informational purposes only, without any express or implied warranty of any kind, including warranties of accuracy, completeness or fitness for any particular purpose. It is not intended to be and does not constitute financial, legal, tax or any other advice specific to you the user or anyone else. TurtleVerse does not guarantee the accuracy, completeness, or reliability of the information and shall not be held responsible for any action taken based on the published information.



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