How To Learn Mathematical Concepts Easily – No Books, No Problems!
When you first learn a subject, it can be challenging and intimidating. You feel like there is no way to learn it efficiently or effectively. The more complicated or advanced the subject, the more likely you are to feel that way. However, with a little guidance from your parents or an education consultant, you’ll soon discover that learning doesn’t have to be difficult or intimidating. All you need to do is understand how concepts work and apply what you learn consistently. When you understand how things work by looking at them correctly rather than just reading about them, learning becomes much easier and more enjoyable. Understanding mathematical concepts easily start with recognizing the key ideas. Below are 7 key ways to learn mathematical concepts easily that will help you overcome your misconceptions and get started on the right track:
Pick the right questions to ask.
The first step to learning any subject is to pick the right questions to ask. This might seem like a no-brainer, but so many people waste time and energy asking the wrong questions. It is best to pick questions related to your current interests, what you are trying to learn, and what you think you need to know. If you are unsure how to go about this, ask a teacher or a professional who has been in your shoes. Here are some questions you should be asking: What are the most important things I need to know to understand this topic? What are the techniques used to solve these types of problems? What is the outcome of the solution to this type of problem? What are the implications (or “side benefits”) of the solution to this type of problem? What is the opposite of the answer to these types of problems?
Be specific with your answers.
The easiest way to ensure that you are answering the questions correctly is by being specific. For example, if you are unsure about the difference between a parabola and a pare-Bellum, you can say that a parabola is “shaped like a parable” while a pare-Bellum “shrugs off the wind”. If you are unsure about how to proceed with a certain problem, say “I don’t know the answer to that one, can you help?” If the answer is no, try to be as detailed as possible with your next question.
Try different approaches until you’re confident.
Not everyone’s approach to learning is valid or effective. People learn differently and some people will learn better with a different approach than others. Some people find reading a lot more effective than doing calculations, others enjoy solving problems rationally, and others still prefer to wing it. Each person has their own combination of strengths and weaknesses when it comes to learning a certain way. To find out what method works best for you, try out different approaches until you feel comfortable enough with them to move on to the next one.
Measure things directly.
One of the best ways to overcome your misconceptions about various mathematical concepts is to measure things out directly. For example, if you have never measured a circle’s circumference, you probably won’t know how big a circle is until you try to make one. Knowing how things are actually measured will help you overcome your initial misconceptions and get started on the right foot.
Calculate and use your results.
When it comes to learning a new concept, finding the right application is just as important as reading the concept out loud. When you have found the right application for a concept, calculate the amount of something (e.g. the amount of money in your bank account) and use your results to show how that amount changes when that concept exists in real life (i.e. when you have $100 in your bank account, you have $100). You might want to record these results on a spreadsheet or a worksheet.
Know how to end a problem correctly.
When you have found the correct solution to a mathematical problem, calculate the amount of the problem and end the equation with the amount being solved for (e.g. if the problem asked you to double the number, double it; if the problem asked you to divide a number by another number, that number has to be divided by something, so simply choose the number that has to be divided by something bigger).
Learning a new concept doesn’t have to be difficult or intimidating. All you need to do is understand how things work and apply what you learn consistently. When you understand how things work by looking at them correctly rather than just reading about them, learning becomes much easier and more enjoyable.