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Teaching Calculus To 5-Year-Olds 231

Posted by Soulskill
from the finding-the-limit-as-age-approaches-zero dept.
Doofus writes "The Atlantic has an interesting story about opening up what we routinely consider 'advanced' areas of mathematics to younger learners. The goals here are to use complex but easy tasks as introductions to more advanced topics in math, rather than the standard, sequential process of counting, arithmetic, sets, geometry, then eventually algebra and finally calculus. Quoting: 'Examples of activities that fall into the "simple but hard" quadrant: Building a trench with a spoon (a military punishment that involves many small, repetitive tasks, akin to doing 100 two-digit addition problems on a typical worksheet, as Droujkova points out), or memorizing multiplication tables as individual facts rather than patterns. Far better, she says, to start by creating rich and social mathematical experiences that are complex (allowing them to be taken in many different directions) yet easy (making them conducive to immediate play). Activities that fall into this quadrant: building a house with LEGO blocks, doing origami or snowflake cut-outs, or using a pretend "function box" that transforms objects (and can also be used in combination with a second machine to compose functions, or backwards to invert a function, and so on).' I plan to get my children learning the 'advanced' topics as soon as possible. How about you?"

Comment: Re:its a problem that exists BY DESIGN (Score 1) 465

by JcMorin (#46367705) Attached to: MtGox Files For Bankruptcy Protection
Of course it's by design, if you pass a $100 bill to someone and he run, you lost it and can't have it back. It's the same thing with Bitcoin. Bitcoin is design to put the power in the hand of the people rather than in the bank like the traditional system. If you trust a company to hold your bitcoin you have the risk of losing them. You nailed it, you disagree with the design, but only time will tell if Bitcoin is good or not.

Comment: Re:gambling (Score 2) 465

by JcMorin (#46367147) Attached to: MtGox Files For Bankruptcy Protection
Knowing all the problems that Mt.Gox created BEFORE they stop the withdrawal (ddos, bank delays, bad PR, bad code). My best guess is that most people that had coins there were speculators (because the price was higher because of the delayed bank transfer). Real Bitcoin users don't keep their bitcoins in an exchange but on their device. I still feel sorry for everyone that lost something, but life goes on and other exchanges will add more transparency about their reserve and better software code.

Comment: Re: Best Buy as a local store (Score 2) 506

by JcMorin (#46361191) Attached to: Quebec Language Police Target Store Owner's Facebook Page
I assume you are an american so I've use one company that you know but name sell electronics. For your information Best buy DO have local store near me that employ local people. Americans don't travel the border state everyday to do work in all Best Buy in Canada :) I could have name a small company that you have no clue what it is... what's the difference?

Comment: I live in Québec and those law are pretty stu (Score 5, Informative) 506

by JcMorin (#46358453) Attached to: Quebec Language Police Target Store Owner's Facebook Page
I live in Québec and because of those law I can't purchase product from the local store because the box is not en French. It happend to me last year where I purchase some headphone (nothing fancy there were even NO paper in the box to explain how to plug it). But since the box wasn't available in French, Best-buy would not have the product, online I could see it but they would refuse to sell it to me if my address was in Québec. So I've went to competitor in Vancouver that is not affected by Québec law and purchase it. Result? The law has remove a sale from my local store and move that else where.

Comment: Re:So, you're doing the equivalent of putting your (Score 1) 695

by JcMorin (#46333707) Attached to: Mt. Gox Gone? Apparent Theft Shakes Bitcoin World
Yes, but I can make a backup encrypted copy online or on another computer so I my house burn I don't lose them. To spend bitcoin all you need the private key of the public key. The public key is your address. So you can even write it down or print it on a piece of paper if you want. If someone get to your private and transfer to money to his address your screwed because when you will try; the bitcoin network will detect the double spending and will reject your transaction.

Comment: Re:Mt.Gox has a long history of problems, Bitcoin (Score 4, Informative) 695

by JcMorin (#46333599) Attached to: Mt. Gox Gone? Apparent Theft Shakes Bitcoin World
You don't need a bitcoin IF you have bitcoin, but the exchange service like Mt.Gox is doing exactly that, changing your cash to bitcoin and bitcoin to cash. Once you have Bitcoin you should remove them from the exchange service and store them on your own device to avoid any potential lost.

Comment: Mt.Gox has a long history of problems, Bitcoin not (Score 4, Interesting) 695

by JcMorin (#46333235) Attached to: Mt. Gox Gone? Apparent Theft Shakes Bitcoin World
Mt.Gox is like a bank, it's not because one big bank fail (Lehman Brothers for instance) that the whole currency is bad. Mt Gox was poorly managed, bad software code, bad PR, often DDOS. They couldn't stand the #1 place they hold for too long. I'm very sorry for everyone who lost money with Mt. Gox but don't get me wrong. Bitcoin ecosystem still exist and many other exchanges services will emerge as of that. Users and investors will have to be very careful about where they hold their money. In my case, I trust my on own encrypted devices.

Comment: Re:What about the blockchain size issue? (Score 1) 135

by JcMorin (#46231263) Attached to: More Bitcoin Exchanges Forced Out of Sync After Massive DDoS Attack
The blocksize is not a problem. Even if it's 250 gig... who care? Most client do not download the full blockchain and miners have no problem with 250 gig. It's also possible in the future to have a reference block every ~1 times and that block can remove all input that have been spend and *could* remove 1 satoshi addresses for instance.

Comment: Not for MtGox but kinda agree (Score 4, Insightful) 81

Many pro bitcoin will hate me for saying that, but the transaction ID should not be change and once published it's value should be considered safe to check if a transaction is part of the blockchain or not. All the crap related to 3rd party modifying Sign script is pretty idiot compare the power for having a single ID to track a transaction. That said, this give no excuse for Mt Gox to not release the funds, the problem is not new, not even to them, and probably hide a much bigger financial problem.

Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. -- Bertrand Russell