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#101440  05/05/11 07:38 AM
Re: Off the track Math
[Re: herenow]

Member
Registered: 04/16/10
Posts: 2498

Herenow, how old is your DD?
We just received a nice book from the credit union covers things like compound interest. I think the moneydiscussion path is well worth taking with all kids, whenever they're ready for it.
And having a real understanding of probability has been very valuable for our DS; helps him cope with anxiety (thinking about likely and unlikely eventualities).
DeeDee

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#101443  05/05/11 07:45 AM
Re: Off the track Math
[Re: herenow]

Member
Registered: 02/14/10
Posts: 2637
Loc: MA

You listed several good alternatives to "standard" math, such as probability, cryptography, and number theory. I'll add mathematical logic, set theory, game theory, and computer programming.
The EPGY math curriculum covers logic and set theory. Set theory was an important part of the "New Math".
Financial mathematics employs probability and calculus (or at least algebra). Applying math to finance may be difficult without some grounding in algebra.
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"To see what is in front of one's nose needs a constant struggle."  George Orwell

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#101513  05/06/11 01:15 AM
Re: Off the track Math
[Re: herenow]

Member
Registered: 09/19/08
Posts: 1898
Loc: Scotland

Python's a great first language, and is always the front runner in conversations I've been part of on the subject "what programming language should X learn first"  it has lots of powerful libraries but very little in the way of stuff you have to do to get anything to work. However, there are lots of other good choices too (some of them specifically for children  Scratch is good, for example, and my DS loves TurteArt which is a language for making a "turtle" go where you want and draw patterns on the way  there are several languages like that). In the end, it doesn't really very much matter  if someone has a reason for finding it convenient or exciting to try some language, it's better to start programming in that than to hold out for the perfect language. I would expect an AOPS Python course to be interesting!
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#101514  05/06/11 01:20 AM
Re: Off the track Math
[Re: herenow]

Member
Registered: 09/19/08
Posts: 1898
Loc: Scotland

You've had some good ideas already but may I put in a word for problemsolving taking up a lot of time that could be spent on new stuff? In school they often jump from one bit of stuff to the next and don't do nearly enough solving hard problems with what they already know for optimal mathematical development, IMO. There are lots of resources in the form of books of contest questions, Olympiads etc.  if you need specific stuff I'm sure I or others can help.
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#101522  05/06/11 04:59 AM
Re: Off the track Math
[Re: herenow]

Member
Registered: 02/14/10
Posts: 2637
Loc: MA

I looked at the EPGY math curriculum for logic and set theory, and the only classes I could find had prerequisites of precalculus. I meant the EPGY K7 math curriculum. For example, grades 56 http://epgy.stanford.edu/courses/math/M0WC/ cover Multiplication and Division Introduction to Plane and Solid Geometry Sentential Logic and Sets Operations on Fractions and Mixed Numbers Decimal Arithmetic; Percentages Functions and Graphing Area and Volume Prime Numbers; Factors and Multiples Probability If your child does EPGY math there will be some overlap with school math but also some unique topics.
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"To see what is in front of one's nose needs a constant struggle."  George Orwell

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#101531  05/06/11 06:49 AM
Re: Off the track Math
[Re: Bostonian]

Member
Registered: 04/25/06
Posts: 778
Loc: Midwest

http://www.eimacs.comThis is an online training for logic and computer programming. My son did the Introduction to Logic over the summer when he was twelve. This was a prerequisite for a group class that he took over the school year. At twelve, he was among the oldest students from the group, however, he did have an easier time with it than most too. The below quote is from their FAQs section; What classes must my child have taken to be ready for Advanced Mathematical Logic? Being ready for Introduction to Logic I, the first course in the track, has little to do with what specific courses your child has taken, but has everything to do with your child's aptitude for mathematical thinking and reading comprehension. How do I know if my child is ready for the course? How do we prove to IMACS that my child is ready? IMACS has a free, online aptitude test that your child can take. To be accepted into the course, a student must pass the aptitude test. You can register online for the aptitude test. It is free and there is no commitment or obligation. After your child completes the aptitude test, IMACS will contact you with the results.

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#101532  05/06/11 07:06 AM
Re: Off the track Math
[Re: delbows]

Member
Registered: 09/19/08
Posts: 1898
Loc: Scotland

That looks fun  but pricey enough to put me off, and I don't think of myself as especially pricesensitive for such things. A cheaper doityourself alternative is this package: http://ggww.stanford.edu/NGUS/lpl/which we have. DS7 hasn't so far had much time for working through the book (though he has encountered much of the material elsewhere) but he loves playing with the software, Tarksi's World especially. NB it has an autograding facility which seems to work (you do some exercises and send them off to their server which marks them) so it's not *totally* do it yourself.
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