We can talk about costs and all of this kind of thing but I feel like we dumb down higher education because it seems hip (like picking songs for your iPod because we are all have hyper attention deficits, or something).
We can talk about costs and all of this kind of thing but I feel like we dumb down higher education because it seems hip (like picking songs for your iPod because we are all have hyper attention deficits, or something).
For e.g. for someone to learn abstract algebra ,its highly suggested that they take up linear algebra first.As for me, i've always the dependency graph quite seriously .May be the gifted brains can leave linear algebra and directly take up abstract algebra , is that so?
The class structure has grown out of the physical limitations of presenting course information to mass groups of people in physical classrooms. Take the MIT Modules, make them asynchronous and add accountability (limitations and commitments: something like, only 5 active modules at a time until you've completed them) and mentoring (which is your next module? If you struggled with X, maybe you should go back a couple dependencies?) and you could have a really effective system that creates even more amazing people--at the pace that suits them best.
If you allow for this kind of modularity, it allows people to adapt their courses to what they want to make in the end.
With regards to the pumping lemma or the master theorem, the point is, no one is forcing people _not_ to learn bout these concepts. However, people should have the right to choose what they learn to meet their own goals. If you can't make an informed decision by the time you're at college regarding what you need to study or what's important, then you need to think long and hard since life's about making decisions like this.
I mean, I had a choice to take automata theory. I did so, because I wanted a better understanding of how computation originated. I'm pretty sure others would be interested as well.