Finding Meaning in Mathematics: A Personal Perspective
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Chapter 1: My Relationship with Mathematics
Recently, I completed my second year pursuing a mathematics degree. Despite my academic progress, I often find myself questioning my enthusiasm for the subject.
"It’s hard to suppress my feelings when faced with the complexities of mathematics—like proving whether a ring is an integral domain or listening to someone discuss the Contraction Mapping Theorem."
To be honest, my interest in mathematics has its limits. While I have found some enjoyment in the mathematical puzzles I share on my blog, I largely view my studies as a means to an end. My academic journey in mathematics was propelled by my relative proficiency in the subject during my earlier schooling, and I recognize that a degree in math can signal intellectual capability and the ability to grasp abstract concepts.
However, having completed two-thirds of my program, I find myself questioning the true value of a mathematics degree—not just for society, but for individuals as well.
A common question emerges for many students: "When will I ever use this?"
Typically, those who lack enthusiasm for the subject are the ones most likely to express this concern. A frequently heard response is that it's not merely about the specific math skills learned; rather, it’s about the problem-solving abilities, critical thinking, and analytical skills that are developed through the process.
But as I approach my final year at university, I am beginning to align with those students asking, "When will I actually apply this knowledge?"
I struggle to see how my studies will directly benefit my future career. I also question whether the specialized mathematical thinking I am learning can genuinely enhance my cognitive skills.
While educators often tout buzzwords like "transferable skills" and "critical thinking," my experience suggests otherwise. The type of reasoning fostered in university-level mathematics is highly specialized, often varying even among different subfields, such as algebra and analysis.
How does one’s grasp of continuity and integrability apply to real-world problem-solving? In what way does understanding differential equations and triple integrals correlate with business acumen or programming skills?
And yes, while it's true that advanced mathematics is relevant in fields like machine learning, the reality is that only a small subset of math is actually necessary for practical applications. Beyond that, I find myself wondering: when will I need to prove that a function is integrable? Or demonstrate that a group is abelian?
Just because I can perform these proofs doesn’t imply I'm an effective decision-maker. Excelling in university mathematics primarily equates to excelling in exams—demonstrating the ability to memorize and understand course material enough to achieve good grades.
In reality, I believe the connection between success in math exams and effective real-world performance is weak, if it exists at all. If there is any correlation, it suggests that certain individuals possess traits that allow them to excel in both areas, rather than that math training universally enhances problem-solving skills.
This distinction is crucial, as it emphasizes that mathematical training doesn’t inherently make someone a better problem solver.
I find little joy in discussing the beauty or philosophical aspects of mathematics. My interests lie in learning concepts that are practical and enjoyable—things that truly matter, irrespective of their mathematical context.
If I were to reflect on my final day on Earth, I wouldn't ponder mathematical theorems; rather, I would choose to appreciate nature alongside my loved ones, soaking in the sunset one last time.
A guiding principle for my blog is to share insights that resonate with a broad audience. I aim to create engaging math puzzles that anyone can enjoy, rather than delving into esoteric discoveries meant only for advanced math experts.
This sentiment echoes a thought from Jason Polak’s article discussing his departure from academic mathematics: "At what point can we still say with a straight face that it makes sense to pour millions into mathematics research when its objective often seems to be reaching the next peak of hyper-specialization?"
In closing, I find value in this blog because it reaches over 100,000 readers globally each month. While some may argue that achieving the summit is a noble pursuit for a select few, I believe that enjoying a simple life under the sun is what matters most to all of us.
I may not have a deep passion for exploring uncharted algebraic territories, but I cherish sharing enjoyable puzzles with you.
So, when will you find a use for Pythagoras' Theorem?
It might just be when you tackle a fun puzzle right here on my blog...
If you'd like to connect on a professional level or simply say hello, feel free to reach out! I am always open to a conversation. 😊
Chapter 2: The Value of Mathematics in Real Life
In this video, "Are You Smart Enough To Study Math?" we explore the challenges and perceptions surrounding the study of mathematics, addressing common doubts and encouraging a broader view of its applications in life.
The second video, "Why do people hate mathematics?" dives into the reasons behind negative feelings towards math, fostering a discussion on how to change the narrative and perception of this essential subject.