Foreword
Now some of you might say, this guy is completely crazy. And probably many other of you would say, here’s Jon’s long winded rant again, being his usual “extreme” and “radical” self. To those people who have doubts, I agree with you. What I have to say just may seem way too radical for some. I am sure if I did not have the same experiences, I would be the first one here to accuse such rhetoric as blasphemy against the conventional wisdom that the Asian education system is in shambles.
But hear me out (or you could not, just close the blog and leave, it’s my blog!). Perhaps you won’t completely agree with what I have to say, but hopefully it will get you thinking about questions you have never asked yourself before. What I am about to say and explain to you, many of my other friends have had the same experiences. Particularly my Chinese friends who have gone through college here. They mostly agree what I have a strong opinion on, that the Asian Education system is a technical-friendly system that as a whole, with some major exceptions that I will later explain, is superior than the American Education system.
Part 1: The American Philosophy
We are all familiar with the age old saying that Asians have better math skills than Americans. Ever wonder why? Here’s why, at second grade or possibly even earlier, Asians are memorizing the multiplication table. By fifth grade they already have the knowledge of division. Here’s what American kids are doing at second grade – NOTHING. By fifth grade they still don’t have a strong grasp of multiplication and have no knowledge of division. In a test my brother took while he was fifth grade in America, the test consisted of 30 multiplication problems such as what is 7 times 8, etc. My brother was done in a minute, while the other Americans complained it was so hard and wanted to use a calculator. Enough said.
In any technical field, the most important thing is to know your basics. If you are spending half your time wondering what 7 times 8 is, then you can forget about ever understanding higher level math such as trigonometry and algebra. In sixth grade in Taiwan, I was dong algebra problems every morning as required by the teacher. 10 problems every morning, every school day. Did I hated it? Of course I did. But what was the result? Algebra is perhaps the only skill I have in math which I can almost see the answer without doing any calculations on paper. Numbers literally fly in my head as I rearrange equations in my head. I had a instinctive “feeling” for algebra equations. Am I a smart guy? Hell no (just ask my mom the number of times she had to teach me the difference between a dime and a nickel. A nickel is bigger, but it’s only 5 cents! A dime is smaller, but it’s 10 cents! “But why? Mommy?”). All this came from the constant practicing every morning in sixth grade. Most of my classmates can do the exact same thing. It is the result of doing problems, over and over again. This is perhaps the most defining characteristic of the Asian Education philosophy, practice, practice, practice.
So, you might ask, if Americans have trouble even doing 7 times 8, how do they do Algebra? Here’s how, they use calculators. This is the biggest flaw in American math education: using a calculator. Yet, it is this limitation that has freed American students from detailed calculations. It is this limitation that has enabled American students to only care about the concepts. As long as you understand why you are doing certain manipulations, you don’t have to care how to get there, just “plug it in” the calculator and you will get your answers. American students spend most of their time learning why I should put in 7 times 8 in the calculator for this problem, instead of how to get 7 times 8. This continues from middle school throughout college. American Education philosophy as I have experienced it, is to know WHY, and not care HOW.
Now, many of you may say, it seems to me that knowing the WHY is much important than HOW, isn’t it? Why should I waste my time practicing so I can know the answer of 7 times 8 without thinking, and not focus on WHY I am using 7 times 8 for this problem? I used to think the same way. I thought American system is what made sense, knowing the HOW was a waste of my time, knowing the WHY should be the main focus.
That is, until I went to college. In calculus, no calculator in the world can help you. Why? There aren’t any numbers anymore! Everything is letters, x, y, etc. Want to solve an equation? Do it by hand! That’s the only way. Again, the American philosophy took over, and professors focused on teaching the WHY, and all the problems we did for homework was quite simply a joke. At the end of the basic calculus sequence, I knew the WHY, but now like the fifth grade students learning multiplication, I could not visualize any calculations. Make me do any integration related problem, and you will be staring at a blank face. I learned why I should write down this equation, but this time, it was me that had no “feeling” for any calculus equations. I did not know the HOW.
The time came when I had to take differential equations. My professor was a Russian who was old school about teaching math. NO CALCULATORS, he said at the beginning of the class. I saw one girl raise her hand and asked, “Are you saying absolutely no calculators? Not for exams, at all?”, when the answer was reconfirmed, I never saw the girl in class again. We started out with 60 students, by the first midterm exam, we had 30. This professor was possibly the worst math teacher I have ever encountered, performing mathematical simplification in one step that took me eight steps to arrive to, and he never cared enough to explain how. In his mind, calculus equations literally fly in his head, he had a “feel” for the equation, visualizing equation manipulations. Wait a second, didn’t I say the same thing about myself, ABOUT ALGEBRA?! Since I learned calculus here, with no rigorous “practice 10 problems every morning”, I was now the “dumb American” who couldn’t do any math whatsoever without a calculator.
I remember that class well, as I tried to understand what the professor was doing and relearning calculus, I was doing so many practice problems just to make sure I could even possibly pass the class. It was hell. My brain hurt every single day, I had strains of white hair growing and I was still very certain I probably would fail the class. Towards the end of the same quarter, my other electrical engineering class began to use differential equations. To my surprise, the minute the professor wrote down the equation, I already knew the answer. Next to me, sat an American classmate who was also taking that Russian prof’s class with me. I turned my head and looked at him, discovering that he was doing the same, with a smile in his face (we are NOT gay…). He said to me, I already know the answer! I said, yeah, same here! As the professor asked us what the answer to the equation was, my friend and I immediately said the answer. As I looked around my other classmates, the blank faces staring at us, most of which actually already took differential equations before, I’ve never felt more like a genius…The EE professor was teaching the WHY to use the differential equation, but most of my classmates was stuck at the HOW. Never getting past to even understand WHY.
This is math, but I am a Computer Engineering major, and the exact same thing applies! Our computer science department had the “wisdom” to not teach us pure C++. No pointer manipulation practice, which is essential if you ever want to find a job in software engineering. The professors continuously stress that pointers are “dangerous” and the causes of many software bugs. That is true, and I completely agree, but that does not mean you should not teach us about pointer manipulations! I remember when I first had to handle C++ in my internship, that blank face staring at the computer monitor, thinking to myself, Oh my god I am so screwed. I was drawing diagrams just to keep my mind straight, while my mentor did it with ease in his head. I knew exactly what I had to do to get the program working, but I just didn’t know how I could do this. I couldn’t get past the pointers. I knew the WHY, not the HOW. I think I need not repeat myself with examples after examples why the American philosophy of knowing the WHY and not care about the HOW is a deceptive and dangerous teaching philosophy.
I liken this phenomenon to sports. What the American schools are doing, is teaching you the strategies of the game. Why you should hit left, why you should hit back, WHY, WHY, WHY. What they don’t teach you, or rather, make you do, is to practice, practice, practice. I dare you to find me any sport champion who have won the game yet not gone out there every day to practice, practice, practice. Sure, he needs to know what the strategy is, but more importantly he needs to be able to hit the ball to the correct place. Give me a guy who has never hit a ball but knows everything about the strategy of the game, and I will guarantee you he will lose every single game he plays. Although he “knows where to hit”, he just “can’t do it”.