Top 10 Strategies to Excel in Mathematics

1. Always Question Yourself

Understanding the purpose of mathematics and its specific applications in real-life scenarios is crucial. This deepens your comprehension of the practical implications of mathematics, going beyond mere calculations.

In the national education curriculum, Mathematics plays a pivotal role. It is considered a foundational subject, providing knowledge that enables learners to study other disciplines. Within its scope, Mathematics equips learners with mathematical knowledge and methodologies, which are seen as ways to study, research mathematical concepts, and explore phenomena. Through learning mathematics, individuals develop, refine, and enhance their cognitive abilities. It is widely recognized that strong mathematical skills contribute to the development of logical thinking. Consequently, various forms of mathematical assessment are utilized in numerous examinations and recruitment processes. Research has indicated the significant role of Mathematics in fostering cognitive development. In a world that increasingly values education as a means to nurture critical thinking, cognitive development is viewed as both a value and a goal of modern education.

2. Determination is Key

Why? If you're already good at math, learning becomes easier because your foundational knowledge is strong. But if you're weak, it's challenging because you have to learn new concepts while reinforcing old ones, which requires a lot of effort. Without determination and perseverance, it's impossible to learn because you'll feel discouraged.

Many people assume they're not good at math from birth. This mindset prevents them from investing in improving their math skills. The argument that some people are naturally good at math is a myth. Research shows that anyone can learn math with a bit of effort.

While some people may have an innate talent for math, most studies indicate that diligence can enhance math skills just as much as natural talent. In fact, consistent studying can lead to better results in the long run compared to innate talent.

First, you need to understand each topic in math thoroughly. Then, memorize the theory. Next, practice exercises. Each topic typically has many types of exercises, and it's crucial to memorize each type and the corresponding method of applying theory to solve it as a model for emulation. Systematize the problem types, the structures of problems by topic for familiarization practice. Many students memorize the theory but struggle with math because besides the relationships with previous knowledge, another reason is that Vietnamese educators intentionally make math confusing and repetitive. This confusion comes from various problem types of the same topic, so we need to jot them down as models for easier recall.

Although not as memorization-heavy as social sciences, the definitions and theories of math are essential for students to master. Properties, formulas, definitions must be remembered so students can apply them to prove, explain, or analyze problems. Whatever can be remembered in class, students should strive to cram into their heads because it will make studying at home easier.

After solving a problem type, try to find another method that can solve this problem. Finding alternative methods also helps reinforce our solid knowledge because we are experimenting, trying, and finding mistakes.

Finding the solution to a problem may not be too difficult, but in fact, there are many interesting principles behind each problem. If we don't awaken curiosity in students, the exploration of what lies behind each problem, but just finish solving the problem, then teaching becomes dull.

The important thing is that if after each problem we can find many different ways to solve it, build a sequence of related problems from easy to difficult, we can train students' creative thinking skills, and at the same time, knowledge will be expanded and more organized.

Always have solution manuals to assist with unknown problems. Consider, understand how to solve that problem to summarize the rules and remember the problem format for easier solving in the future.

If you find yourself solving incorrectly, you should review the entire process. Where did you go wrong and how? Try to reconsider the problem and find a way to solve it correctly. When doing math, writing down the solution is very important. Use a pen to write down each step of the solution for a problem. With this method, when mistakes occur, you can review the solution process and identify the mistakes more easily.

6. Self-Study

Self-study is the best way to learn math, helping to understand each issue and each case that may arise. When we listen to lectures, we understand but cannot redo, so to have solid knowledge, we must redo exercises from easy to difficult. Be patient in learning basic to advanced knowledge. Simple problems help us understand advanced concepts later on. A difficult problem is a synthesis of many simple problems, so mastering basic problems helps solve difficult ones easily.

To truly master mathematics, set goals for yourself: solve all types of problems from easy to difficult. To achieve this, you need to patiently review basic concepts and do simple exercises first. From basic knowledge, we can enhance more difficult knowledge later on.

In essence, a complex problem is a combination of many simple issues, a difficult problem can be solved by breaking down each simple component. Therefore, the key to excelling in math is to master the most basic issues, then use analytical and synthesis skills to solve more difficult problems.

7. Practice Multiple Exercises

Learning must always go hand in hand with practice. For each type of problem, continuously solve 3 - 4 similar exercises to master the steps and solving methods, thereby forming a good habit as well as experience in similar problems. This will help you avoid the situation of 'I'm familiar with this problem - but forgot how to solve it' in exam questions.

Regular exercise will also help you grasp the theory faster, more confidently, and enhance your mathematical skills. A tip in the process of doing math exercises is to practice various types of math problems to have a better understanding of a mathematical formula.

The principle for excelling in math is to practice with exercises in textbooks first. Then, practice with additional exercises outside the book, basic and advanced math problems to progress quickly with math. Many young students find it difficult to do math exercises. You should start with easy exercises and learn from friends or math teachers, don't hesitate to show your lack of understanding. Not knowing many things will quickly lead to knowledge gaps.

8. Group Study

'Learning from friends is just as valuable as learning from teachers.' Remember this proverb. It doesn't mean you'll surpass your teachers; your knowledge comes from them. Instead, it emphasizes the benefits of studying with peers.

When studying with classmates of the same age group, you can freely exchange knowledge, share what others don't know, and help each other tremendously in academics and life. Therefore, strive to befriend good students in math to motivate yourself and have role models for learning. 'Near ink is dark, but near light is bright.'

Whether it's math or any other subject, avoid cramming. The key to excelling in math is to grasp the concepts from the beginning of the year, not waiting until tests or exams to cram, which is neither effective nor healthy. Additionally, in math and many other subjects, concepts are interconnected; you must master the earlier ones to excel in the later ones, thus making progress faster.

Allocate 30 - 60 minutes daily for math, using the Pomodoro technique: 25 minutes of focused studying and 5 minutes of rest, motivating yourself by rewarding something after solving a difficult problem, which helps balance the brain, reduce stress, and increase long-term learning efficiency.

For many, Mathematics is often seen as a dry and rigid subject, making it challenging to foster enthusiasm for it. However, you can still find joy in learning Mathematics if you truly have a passion for it.

Mathematics is not dull; you can still create poetry or rhymes from mathematical formulas to make them easier to remember and learn. Moreover, when solving a particularly challenging problem, focus solely on it and ignore distractions. Concentrating all your efforts will help you achieve higher efficiency.

Anything you love, you'll excel at. So, try to develop an affection for Mathematics, inspire yourself to learn. You'll conquer it if you love it. Don't put too much pressure on yourself; instead, relax and enjoy the learning process, success will follow!