The following video is an MIT Calculus class lecture. I would like for you to watch the whole video and compare what is covered to the material we have covered in Calculus. Then notice the format of the lecture, the expectations and how the acquisition of content is achieved. Take notes on the video in your homework journal and be ready to discuss all this in class.
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Wow, this guy teaches really fast! At some points, he lost me, which is sad to say considering mostly everything he said was already review for us. Anyway, his teaching techniques were lethargic to me because of how he explained why and how to find the derivative. He never went into the symbolic meaning of the subject, and went from what he called the "gemometric interpretation of the context" and transitioned from discussing the tangent, secant, and approximating the slope of the point to the derivative. He goes on to define the derivative as " is the slope of the tangent line to y=f(x) at P {p representing the point with the instantaneous slope}. Also (Mr. Kerai in particular), I found that he did not write lim delta x to 0 when finding the derivative-I don't know if this was intentional or not. He seemed to be in his own world, seperated from the students entirely with the exception of a few questions he ask; It took him 30 minutes before he finally ask if anyone had any questions! He discussed something that we had not discussed so much about, which was finding the area of the triangle which used the tangent line as the hypotenuse, and the x and y axis as the other two sides. However, I was lost in the process because I simply could not understand what he was trying to explain. He did try to say that we are "delibrately sloppy" in the way we used variables, which seemed to make sense to me considering the amount of variables he used in his equations -I can't even remember how many he used. Anyway, that is all I have to say for now...
If this was my first introduction to Calculus, I would be lost (I think). This was mostly review for us, and, even still, I found myself confused at some points. I think I benefited from the lecture, though, it cleared up some things for me.
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