It’s easy to learn something when you need it… if the inferential distance is short. Problem is, it often isn’t. Second problem, it is easy to find information, but it is more difficult to separate right and wrong information if the person has no background knowledge. Third problem, the usefullness of some things becomes obvious only after a person learns them.
I have seen smart people trying to jump across a large informational gap and fail. For example there are many people who taught themselves programming from internet tutorials and experiments. They can do many impressive things, just to fail at something rather easy later, because they have no concepts of “state automata” or “context-free grammar” or “halting problem”—the things that may seem like a useless academic knowledge at university, but they allow to quickly classify groups of problems into categories with already known rather easy solutions (or in the last case: known to be generally unsolvable). Lack of proper abstractions slows them at learning, they invent their own bad analogies. In theory, there are enough materials online that would allow them to learn everything properly, but that would take a lot of time and someone’s guidance. And that’s exactly what schools are for: they select materials, offer guidance, and connect you with other people studying the same topic.
In my opinion, a good “general education” is one that makes inferential distances shorter on average. Mathematics is very important, because it takes good basic knowledge to understand statistics, and without statistics you can’t understand scientific results in many fields. A recent example: in a local Mensa group there was a discussion on web whether IQ tests are really necessary, because most people know what their IQ is. I dropped them a link to an article saying that the correlation between self-reported IQ and measured value is less than 0.3. I thought that would solve the problem. Well, it did, kind of… because the discussion switched to whether “correlation 0.3″ means “0.3%” or “30%”. I couldn’t make this up. IMHO a good education should prevent such things from happening.
Though I agree that a conversion from “knowledge” to “money” is overestimated, or at least it is not very straightforward.
You are advocating a strategically devised network of knowledge which would always offer you a support from the nearest base, when you are wandering on a previously unknown land. “Here comes the marines”—you can always count on that.
Well, in science you can’t. You must fight the marines as the enemies sometimes, and you are often so far out, that nobody even knows for you. You are on your own and all the heavy equipment is both useless and to expensive to carry.
This is the situation when the stakes are high, when it really matters. When it doesn’t, it doesn’t anyway.
It’s easy to learn something when you need it… if the inferential distance is short. Problem is, it often isn’t. Second problem, it is easy to find information, but it is more difficult to separate right and wrong information if the person has no background knowledge. Third problem, the usefullness of some things becomes obvious only after a person learns them.
I have seen smart people trying to jump across a large informational gap and fail. For example there are many people who taught themselves programming from internet tutorials and experiments. They can do many impressive things, just to fail at something rather easy later, because they have no concepts of “state automata” or “context-free grammar” or “halting problem”—the things that may seem like a useless academic knowledge at university, but they allow to quickly classify groups of problems into categories with already known rather easy solutions (or in the last case: known to be generally unsolvable). Lack of proper abstractions slows them at learning, they invent their own bad analogies. In theory, there are enough materials online that would allow them to learn everything properly, but that would take a lot of time and someone’s guidance. And that’s exactly what schools are for: they select materials, offer guidance, and connect you with other people studying the same topic.
In my opinion, a good “general education” is one that makes inferential distances shorter on average. Mathematics is very important, because it takes good basic knowledge to understand statistics, and without statistics you can’t understand scientific results in many fields. A recent example: in a local Mensa group there was a discussion on web whether IQ tests are really necessary, because most people know what their IQ is. I dropped them a link to an article saying that the correlation between self-reported IQ and measured value is less than 0.3. I thought that would solve the problem. Well, it did, kind of… because the discussion switched to whether “correlation 0.3″ means “0.3%” or “30%”. I couldn’t make this up. IMHO a good education should prevent such things from happening.
Though I agree that a conversion from “knowledge” to “money” is overestimated, or at least it is not very straightforward.
You are advocating a strategically devised network of knowledge which would always offer you a support from the nearest base, when you are wandering on a previously unknown land. “Here comes the marines”—you can always count on that.
Well, in science you can’t. You must fight the marines as the enemies sometimes, and you are often so far out, that nobody even knows for you. You are on your own and all the heavy equipment is both useless and to expensive to carry.
This is the situation when the stakes are high, when it really matters. When it doesn’t, it doesn’t anyway.