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I understand your overall point sakky, but education can only go so far in teaching true intuition
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<p>Yes, but my point is that many schools don't even really try. </p>
<p>Which is why I am quite impressed with what is happening at Olin College. Consider some of the new ideas that Olin is trying:</p>
<p>*# Curriculum of engineering design and entrepreneurship. Students start by designing or reverse engineering popular products as a way to learn how things work. This hands on approach, right from the start, makes engineering real. Other engineering schools require students to take foundational courses in physics, thermo-dynamics, chemistry, and math for the first two years. Olin introduces these disciplines as needed throughout the 4 years.</p>
<h1>Entrepreneurship is part of the program - There is a startup incubator on campus. Students are required to create a product, write a business plan, and start a company.</h1>
<h1>Internships in Engineering - Students do a a significant, year-long engineering project for an actual client. *</h1>
<p>Don</a> Dodge on The Next Big Thing: 50% of US engineering students dropout - Why?</p>
<p>Hence, that begs the question of: if Olin can do that, why can't other schools? </p>
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Also, education is geared towards the masses; therefore, it is difficult to remove the convoluted math because the math is the basic foundation and standard of how scientists and engineers break down our complicated world into what they consider to be simple mathematical, empircal models.
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<p>Again, I have never argued that we should remove the (convoluted) math. Go ahead, teach the math. But while doing that, make sure that you are connecting it to real engineering work. </p>
<p>The main problem is that the programs insist on teaching the math, but then won't teach how that math is connected to the real engineering work. In other words, they are basically forcing engineering students to basically become mathematicians. If they wanted to do that, they would have just majored in math straight away. </p>
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BTW, it would be a shame in today's world if let's say a Thomas Edison went to an engineering program and flunked out, hindering his entrance into the mainstream industry. But then again, would Thomas Edison have given up just because he failed? Edison is the one quoted saying, "I have not failed. I've just found 10,000 ways that won't work."
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<p>Edison would have surely dropped out of college and started his own company, which is exactly what he had done anyway. </p>
<p>But my point is simply to ask what exactly is the purpose of an engineering program if it would weed out somebody like Edison? Or a potential dyslexic like Leonardo? </p>
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Possibly what sakky is trying to say is that education must evolve to better suit the minds of the time. However, learning science and engineering has involved mathematics for as long as the empirical model has been in existence. And while it is true that some inventions and ideas were basechink
d more on intuition than on math, the world has advanced in the areas of science and technology that inventions built off of intuition and the advancement of current technology require heavy mathematical proofs in order to be actualized in almost all cases.</p>
<p>For example, I can't say exactly which mathematical model or scientific idea the scientists/engineers used to develop the transistor, but much has to be accredited to the scientists that laid the foundation in order for it to be created. And although many of the scientists used thought experiments to formulate parts of their models, math was used to explain most of it. Einstein applied his theory of light being photons to Max Planck's quantum hypothesis to explain the photoelectric effect. Although it was mostly theory, it had to be proven mathematically by Millikan through experimentation, who was in fact trying to disprove Einstein's idea that light was a photon. Schrodinger was able to use these ideas to develop his model, the equation named after him. The developers of the transistors, whether they knew it or not, were basically applying the scientific ideas and mathematical proof for these ideas to make the transistor. The developers of the transistor also had to know how to calculate or understand the Hall Effect, the photovoltaic effect; not to mention the ideas of Faraday and Maxwell on static electricity/electro-magnetism.
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<p>I have 3 responses to that. </p>
<p>The first is really a philosophical/categorical point. You say that heavyweight mathematical models is used to explain most sciences. That's not entirely true. Large-scale mathematical modeling used only in certain sciences, notably in physics and in related sciences (i.e. physical chemistry). However, the biological sciences and related disciplines (i.e. organic chemistry) use relatively little math to this very day, which you can verify by comparing a college physics textbook to a college biology textbook. Somebody with minimal mathematics background is far more likely to be able to understand the latter rather than the former. </p>
<p>Secondly, you seem to be equating science with engineering, when I see those fields as quite distinct. There is no doubt that scientists need to concern themselves with theoretical and highly analytical models. But do engineers? The job of the engineer is not to create theoretical/mathematical models of the world, but rather to produce practical technologies. However, engineering students, just to pass their courses, often times end up paradoxically having to learn more math than their science counterparts. For example, chemical engineering students certainly must learn far more math than do chemistry students. </p>
<p>Thirdly, I have no problem with those engineers who want to learn the theoretical and stylized modeling, i.e. those who want to be researchers, to be allowed to learn those topics. They are perfectly free to do that. My question is, why are all engineering students forced to do that, including those who know that they don't want to be researchers. For example, if you just want to be a chemical process engineer in an oil refinery, you don't really need to know how to manipulate the Maxwell Relations. It may be nice to know that, but you don't really need to know that. You're not inventing new thermodynamics theories. You're not mapping new phase diagrams. You are perfectly content to use existing, published thermo data. </p>
<p>Again, I am not stopping anybody who wants to learn those topics. You want to know, then go right ahead and take the appropriate courses as electives. My question is why is everybody forced to know? </p>
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I believe that these great minds and great inventors benefit from the many that try to understand the math behind phenomenons of the world. If everyone or most everyone was just sitting around trying to invent a light bulb, while only a few were trying to understand what current actually is, could we have come to the same conclusion? Possibly. But I think it is because there were so many learning the concepts of current in a time when electricity was not understood that helped lead to the invention of the light bulb. Not everyone can be great, but we can all try to reach greatness. And maybe on the way, we might actually be inspired or we might actually inspire someone with innate intuition to do great things.
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<p>There's a big difference between trying to achieve greatness and getting punished if you fail to achieve that greatness. Which leads to my other point. For those who don't do well in engineering courses, why not just let them leave the major with a clean slate? That is, why not just let them switch to another major with a clean transcript? If they're not going to major in engineering anyway, what does it matter if they failed a bunch of engineering courses? The guy attempted to achieve "greatness" (or, at least, the "greatness" of an engineering degree), it didn't work out, fine, then let him move on. </p>
<p>Which gets to another reason why engineering is difficult. Engineering is merciless towards those students who do poorly, i.e. those who are weeded out. I see nothing to gain from permanently marking on his transcript with a bunch of terrible engineering grades a person who isn't going to major in engineering anyway. But engineering programs sadly will do that. To extend your analogy, Einstein wouldn't have gotten punished professionally if had tried to understand Planck's work yet was unsuccessful. He would have been allowed to move on with his life with a clean slate.</p>
<p>So that summarizes why I think engineering is hard. It is hard because the way that engineering is taught is not just that it is math-centric, but rather that the connection of the mathematics to real-world engineering is often times never made clear. It is doubly hard because if you don't understand the mathematics, you will be tagged with bad grades that will be burned onto your transcript forever.</p>