It's not about how much money, but rather how to spend it. Well, okay, to spend money some way you first need it, but the amount could be quite small.
Most of the knowledge is already available online for free. (There are still some gaps that would be nice to fill, for example lessons for small kids whose first language is not English.) The problem is rather navigating the abundance of information.
First, to distinguish genuine knowledge from crackpottery. Like, most of us probably know that 99% of videos on YouTube containing "quantum" in their titles are pure nonsense. But a smart 13 years old kid doesn't know that yet, and can waste a lot of time gaining negative knowledge (misconceptions that later require time and work to unlearn). We know that in case of doubt, the materials published by MIT are most likely solid. For that kid, even this is not necessarily obvious; it would be better to tell them explicitly.
Second, lessons have prerequisites. I can find an interesting lesson, only to realize that I actually can't follow it, because it uses symbols and concepts I don't understand, and I don't even know how that missing part of knowledge is called. It would be great to have some guidance of form "you can learn X by watching Y, but first you need to understand M and N which you can learn by watching P and Q, etc.". A tech-tree of knowledge, kind of.
For these two things, you don't actually need a school system. A website could be enough: a page for each topic, internal links to prerequisite topics, external links for educational resources checked for quality. You would need some budget for this, but I assume that for costs similar to running one school, you could serve the entire nation. -- And it wouldn't be only for the smart kids; the average kids could use it, too. Everyone could progress at their own speed. Actually, it would be even better if all the kids would use it, because then you wouldn't have to look specifically for the smart kids and advertise it to them, they would simply learn about it from kids around them.
Now you can add extra services, like a silent place to go study if you don't have such place at home, a computer with an internet connection is you don't have one at home. Places to meet people studying the same topic. Etc. This all would be nice to have. I am just saying that the minimum solution that could help maybe 80% of gifted kids could actually be made very cheaply.
Khan Academy is a great project. At least as a general idea; there may be some small technical details (there is some criticism on Wikipedia that seems reasonable, but maybe it was already addressed). I only tried it shortly, so I am not sure how complete it is beyond math.
Now if I may dream, I imagine something like Khan Academy, but:
- containing all lessons from all subjects of elementary and high schools (and optionally some university lessons);
- somehow certified by the state, similarly how textbooks are certified, so you would have some official statement saying "this is at least as good and as complete as public schools" (and if something specific is missing or not up to standards, the problematic topics would be clearly listed);
- with the consequence that if you complete Khan Academy (and take extra courses/exams in the problematic topics), you would get a certificate equivalent to completing the elementary or high school (perhaps after taking an exam to check that it wasn't e.g. your parents doing the tests for you), without having to attend a school, and regardless of your age (so a gifted kid could have high school completed as 10 years old);
- maybe with an option that teachers could upload their own versions of existing lessons or new lessons, and the users would by default use the standard Khan Academy videos, but could choose the optional ones, and based on popularity and administrator decision, the new videos could become the default ones; this is how the content could continuously improve and new topics (e.g. the university lessons) get added; also, repetition is the mother of learning, but instead of listening to the same video again, you could now listen to an alternative version of the lesson;
- with some way to create an individualized study plan, so you could specify e.g. "I want to be a lawyer, but I also want to make computer games", and the lessons that lead you there would be highlighted.
Also, I'd like to see a competitor or two, of comparable quality.
Most of the knowledge is already available online for free. (There are still some gaps that would be nice to fill, for example lessons for small kids whose first language is not English.) The problem is rather navigating the abundance of information.
First, to distinguish genuine knowledge from crackpottery. Like, most of us probably know that 99% of videos on YouTube containing "quantum" in their titles are pure nonsense. But a smart 13 years old kid doesn't know that yet, and can waste a lot of time gaining negative knowledge (misconceptions that later require time and work to unlearn). We know that in case of doubt, the materials published by MIT are most likely solid. For that kid, even this is not necessarily obvious; it would be better to tell them explicitly.
Second, lessons have prerequisites. I can find an interesting lesson, only to realize that I actually can't follow it, because it uses symbols and concepts I don't understand, and I don't even know how that missing part of knowledge is called. It would be great to have some guidance of form "you can learn X by watching Y, but first you need to understand M and N which you can learn by watching P and Q, etc.". A tech-tree of knowledge, kind of.
For these two things, you don't actually need a school system. A website could be enough: a page for each topic, internal links to prerequisite topics, external links for educational resources checked for quality. You would need some budget for this, but I assume that for costs similar to running one school, you could serve the entire nation. -- And it wouldn't be only for the smart kids; the average kids could use it, too. Everyone could progress at their own speed. Actually, it would be even better if all the kids would use it, because then you wouldn't have to look specifically for the smart kids and advertise it to them, they would simply learn about it from kids around them.
Now you can add extra services, like a silent place to go study if you don't have such place at home, a computer with an internet connection is you don't have one at home. Places to meet people studying the same topic. Etc. This all would be nice to have. I am just saying that the minimum solution that could help maybe 80% of gifted kids could actually be made very cheaply.