Search found 15 matches
- Thu Sep 18, 2014 8:26 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Statement A is not a fact about reality.
- Thu Sep 18, 2014 8:11 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
I can't agree that conceptual knowledge of mathematics is more meaningful than any actual application of those concepts. The applications are facts or models of facts about reality, or at least can be so, although I recognize that computation questions are sometimes posed without any real-world cont...
- Thu Sep 18, 2014 1:53 am
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Walker, here is another thing you should read. http://en.wikipedia.org/wiki/Philosophy_of_mathematics I'd like to know exactly which school you adhere to. It seems like you currently have the view of formalism, like David Hilbert. Then again, I am not a philosopher so I could be totally wrong. Actu...
- Thu Sep 18, 2014 12:52 am
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Math computation questions do often test who can solve a given problem the quickest. However, the assertion that ability to perform math efficiently and quickly somehow does not reflect mathematical knowledge seems a bit absurd. If (deeper (as regards the specific topic(s) covered by the problem)) ...
- Thu Sep 18, 2014 12:19 am
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
I'm sensing a distinct lack of argument for how math is now somehow divorced from its purposes, just an argument that "oh, so-di-so was discovered/invented a while back."Touko Kettunen wrote:Ancient Greece already happened.
- Thu Sep 18, 2014 12:08 am
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
I'm sympathetic to the notion that computation demonstrates a mathematical understanding outside of what quizbowl usually tests (a position I once erroneously held) and we can get into a protracted discussion of the purpose or role of mathematics (which itself may be a question wrongly asked), but ...
- Wed Sep 17, 2014 11:51 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
The real bedrock of mathematics and mathematical understanding isn't computation it's the theorems. It's infinitely more important for a budding mathematician to be able to connect concepts and prove theorems than it is to be able to quickly compute integrals, derivatives, etc.. The only reason mat...
- Wed Sep 17, 2014 11:47 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
If (deeper (as regards the specific topic(s) covered by the problem)) mathematical knowledge is NOT the basis of (greater) computational ability, what is? Yeah, this is faulty. Computational ability does not require a high level of understanding! If I know how to differentiate using the limit-based...
- Wed Sep 17, 2014 11:38 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Math computation questions do often test who can solve a given problem the quickest. However, the assertion that ability to perform math efficiently and quickly somehow does not reflect mathematical knowledge seems a bit absurd. If (deeper (as regards the specific topic(s) covered by the problem)) m...
- Wed Sep 17, 2014 9:57 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Knowing that the derivative is the rate of change is helpful if, and only if, you can successfully apply that concept. While you can't very well apply a concept you don't know, a mathematical concept which you can't apply correctly is a nice meaningless fact.
- Wed Sep 17, 2014 9:52 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
Conceptual physics questions are, I'll agree, less trivial, as they still test meaningful, if less exact, knowledge of what will happen in a given circumstance. Conceptual mathematics questions, though, are purely trivial in almost all cases. Knowing a concept but having no clue how to apply it is p...
- Wed Sep 17, 2014 8:22 pm
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Re: Computational Mathematics
High school quizbowl has moved towards including more conceptual math as time goes on, which is an increase in focus on mathematics. Mathematics is essential (and accessible), and quizbowl agrees with you (else we wouldn't be moving this way). However, conceptual math is much better at testing whet...
- Wed Sep 17, 2014 5:19 am
- Forum: High school area archives
- Topic: Computational Mathematics
- Replies: 56
- Views: 28612
Computational Mathematics
There have been plenty of arguments made as to why computational math is a poor topic for quiz bowl. That said, being able to do math is essential to a wide range of other studies. For that reason, mathematics are a major chunk of any child's education, and rightly so. To leave such essential (and i...
- Sat Sep 13, 2014 11:50 pm
- Forum: High school area archives
- Topic: 2014 nAC
- Replies: 27
- Views: 12489
Re: 2014 nAC
Buckhorn had a very good squad this year, but probably decided they'd rather go to DC than to Chicago, since this may well be the first time they've taken a team to a national tourney. I'll not speak to why we went where we did and played in the tournament we played in, but I will say that this was...
- Fri Sep 12, 2014 3:01 am
- Forum: High school area archives
- Topic: Alabama 2014-15
- Replies: 83
- Views: 34089
Re: Alabama 2014-15
One teensy little correction: I would not particularly describe Tessa as having been our science person. Picking one thing in particular to label her as knowing is pretty tough, though; as you may have noticed, she knows a large chunk of everything.
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