DJShadow
1000+ Head-Fier
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The first question looks a lot harder than it actually is. Never the less, I can't be arsed to work it out. Hmm the irony in that...
Originally Posted by jinp6301 /img/forum/go_quote.gif America still hasnt figured out that theyre so far behind a lot of the industrialized Asian countries in education. |
Originally Posted by pne /img/forum/go_quote.gif in math but i wonder why asian countries are so intent on turning their students into walking calculators? its not a matter of wow they are so much smarter than us. It's why the hell are they raising the standards of education that should be similar no matter what country you go to. Highschool math should be highschool math whether you study in asian or europe or north america, there are reasons for these standards. How is it fair to students in other countries once you start raising your own bar? |
Originally Posted by DJShadow /img/forum/go_quote.gif Then how would countries compete on the educational/intellectual level? To me its like saying Cambridge should have similar entry requirements to UCE (a sh1t uni). |
Originally Posted by Rock&Roll Ninja /img/forum/go_quote.gif Lemme try! (I have no special math training beyond highschool geometry). The figure is basically a 3D kite. AB & AD (the short sides). We know the lenght from C to D is twice as long as the kite is deep. (I had to wiki 'Math symbol' as I forgot what the 'perpendicular' symbol was). (i). BD and A1C are NOT perpendicular. Lines between the points will never contact each other and never form an angle. (ii). 90 degrees. The length of CD (or BC) is irrelevant. Just drawing strait lines across the 'kite' will give you a perfect 'X'. Since half an square is a mirror to itself, you get 90 degrees. (iii). no clue. |
Calculus to elementry schools? |
Originally Posted by pne /img/forum/go_quote.gif there is a difference in math competitions, where participants are gifted individuals often pursue math on their own time, versus a school cirriculum in which all schools should adhere to, to maintain a standard. Forcing your students to learn higher level math in public schools in order to "compete" with other countries? What's the point? If students are learning university level pure math in highschool, then what is the point of the university? Why stop there, why not force highschool math onto middle school kids? Calculus to elementry schools? All you're doing is shifting the age at which kids learn the math. It's like forcing a young child to start taking steriods and lifting weights to prepare for his future career as a body builder. i wish i remembered enough math to answer your question. Maybe someone else will post the answer or chime in. (i) i assume you have to project A1C onto the ABCD plane to get AC, and by some math proof since the projection and BC are perp, then A1C is also perp. (ii) find plane normals to both planes and use dot product? to find the angle between them (iii) same method as 2 given two lines |
Originally Posted by jinp6301 /img/forum/go_quote.gif the difference between the super smart kid and the "average" kid is much smaller, which is what it should be IMO. |