Understanding Mathematics: Why It's Tough and How to Overcome It

Mathematics is often perceived as an insurmountable challenge by many, as it involves concepts and principles that cannot be directly experienced through our senses like sight, hearing, taste, or touch. Furthermore, humans are naturally inclined to form connections with other humans rather than abstract mathematical ideas. To appreciate and love mathematics, it is crucial to recognize its practical applications and the beauty in its precision.

The Role of Understanding and Practice

One common barrier to grasping mathematics is a lack of understanding, often described as a "shaky foundation." Many students feel intimidated by mathematics simply because they do not understand its underlying principles. This sentiment is echoed by renowned mathematician, Grant Sanderson, who emphasizes that true understanding comes from getting used to the material, as evidenced by the quote, "young man in mathematics you don't understand things. You just get used to them."

Bringing to mind my personal experience, as an average student, mathematics was confusing until I began to make sense of it through consistent practice. From primary school to grade 7, my math performance was abysmal. However, by the 12th grade, I was solving common precalculus problems effortlessly, having studied daily for years. While I was familiar with the procedures and steps required, the deeper understanding of the concepts came only later, once I embraced the beauty of mathematics through visual learning and exploration.

The Uses of Mathematics in Everyday Life

To foster a greater interest and appreciation for mathematics, it is essential to ask how and where these mathematical concepts are practically applied. When you can see the tangible benefits and real-world applications, the initial awe and intimidation subside. For example, mathematics is vital in fields such as engineering, finance, and physics, where precise calculations are necessary to solve complex problems. Encouraging oneself to consider the utilitarian aspects of mathematics can increase motivation to understand and work with the subject.

The Mysteries of Mathematics: Science’s Unexplored Frontiers

Mathematics poses three profound mysteries that continue to perplex the scientific community. According to the brilliant mathematician Roger Penrose, these mysteries include:

Why the physical universe exists with such mathematical precision. How we can comprehensively understand the mathematical laws that govern the physical universe. The abstract realm of mathematics: Why it exists and why it possesses such precision and beauty.

Since the 1950s, there have been no significant breakthroughs in physics, leading scholars to speculate that the reason might be the lack of appropriate mathematical tools to describe these phenomena. For instance, we still lack the mathematical framework to fully understand gravity or the heliocentricity of planets.

These mysteries highlight the importance of mathematics in advancing scientific knowledge and the need for innovative mathematical approaches. As Miyamoto Musashi noted in The Book of Five Rings, “it [math] may seem difficult at first but everything is difficult at first.”

The Importance of Curiosity Throughout Life

Embracing mathematics is not solely about academic achievement but also about lifelong curiosity and inquiry. By questioning the real-world applications of mathematical concepts, one becomes more engaged and willing to learn. Maintaining a curious mindset throughout life can lead to a deeper and more fulfilling engagement with mathematics, turning a daunting subject into a fascinating journey of discovery.

Conclusion: Mathematics remains a challenging yet invaluable subject. By fostering a deeper understanding, recognizing its practical applications, and maintaining a curious mindset, one can cultivate a love and appreciation for the subject. Hope this message resonates with someone who may overcome their fears and embrace the beauty of mathematics, as it continues to unravel the mysteries of the universe.