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Originally posted by larsy Alexander, I for one would be glad to hear more about the skills needed for the Information Age over the Industrial. 
Origionally posted by Wildflower I could go on, I've been doing a lot of research on unschooling and its benefits over public ed lately...Alexander, I'm also interested in what you mentioned about the Information Age... 
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Originally posted by Lucy sleepies, oh no its not just you, unless its just me and you. lol! If you could be a little more precise Alexander I would love it! 
btw I use my memorized times tables all the time to calculate stuff in my head, like at the store ect. 
Now if by creating the environment where a child can learn a fact you mean for instance, letting them help you bake a cake and measure the ingriedients and as a result learn fractions, instead of learning from a worksheet, than I understand and agree with you that much. Is that st like you mean?: 
lucy said: ok, so whats wrong with the math? I would love to know since I have been doing singapore math with dd (5), 
lucy also It looks very real to me, hands on, real world stuff so far... 
truly_sarah said: Why are these countries both victims and culprits simultaneously? How should math be taught ideally? 
truly_sarah also said: I am always tinkering around in my head with a number system that is based on a spiral number line instead of a straight line. 
truly_sarah also said: my checkbook computations match up pretty well with the ones suggested on the back of my monthly statements! 
truly_sarah also said: I'm thinking about reading Flatland with my son...isn't that the name of the book that shows everything in 2 dimensions? I would someday like to explore different numbering systems with him and math as logical thinking instead of just numbers and rules/axioms/theorems. Is that what you mean? 
Dot.mom said Alexander, do tell!!!!! Math and how it is taught is something that really interests me. My father is a mathematician and taught my brother and I in a way that made public school math seem ridiculously uninspired and limited when we finally got there. Unfortunately, we then did very poorly. 
sleepies said: WoW that post went right over my head guess it is a good thing im not homeschooling. maybe it was the fact i got only formula and not breastmilk....that i don't understand. what are you talking about? oh. im sure it is me and not you. but, im lost 
Originally posted by Lucy so is that your reccommendation, that we ignore arithmetic? 
Do you teach math? Or do you discover this on your own? 
Originally posted by parisfrance Alexander, have you ever read "Goedel, Escher, Bach"? It's about the connections between math, art, and music. I haven't read it yet, but my brother highly recommends it (and the authors second book whose title escapes me). 
Originally posted by larsy I don't think we can ignore arithmetic, it is something that we use daily. And in the process of using it, the kids learn about it. When they are interested in it, they learn it quickly. No need to do all the drill and repitition. All the time can be much better spent! 
Originally posted by Wildflower wow! this is really exciting! this helps my mind so much! so, this means that, as unschoolers, my kids can learn arithmetic through our everyday activities as they need/want to, and if they have some brillant, geneticallysuprising careers as architects / engineers / mathmaticians destined for them then they will naturally gravitate to these feilds without me nudging them towards formal "math" drills etc... Snip. . . more important now to know yourself, know who you are and what you want each moment. instead of just knowing your tables and rules and facts which might not even matter to you ever. 
Originally posted by k'smami Ok. So I'm compiling a list of books to read on the subject because this stuff is really compelling and I need to do a lot more reading if I'm going to really understand what you're talking about. So far you have... Flatland The I hate Mathematics Book Math for Smarty Pants The Book of Think Any more? Any websites? 
Originally posted by Just Wondering IMO.........This whole discussion is a total waste of time, Alexander, until you define what you mean by REAL MATH. I tried to find a definition of this by reading through your verbiage in file a to file f. There was nothing. Snip So until you actually define yourself precisely, so that people can understand what you mean, the discussion is totally frustrating and confusing. To the point of being a waste of time, if nothing postive or useful can be taken out of it. 

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