What would the world look like if we allowed students to use a CAS like Maple or Mathematica whenever they wanted (i.e. during tests/quizzes) instead of teaching them to memorize algebraic transformations?
As computers become more ubiquitous, doesn't the likelihood that we'd ever be forced to go without these tools tend to zero? I can see a future where some Google Glass kind of device automatically scans and parses mathematical formula we look at and allows us to simplify/plot/solve/etc. them, so at some point things are going to get to the point where students are doing this anyway.
tell me, what is the purpose of exercises? Doing them yields no tangible reward so it's not like you're getting anywhere either way. The whole point is to gain understanding and intuition.
>tell me, what is the purpose of exercises?
Well in most cases it's just about applying "standard algorithmic technique #406" to a problem for the hundredth time. Allowing the use of software that makes this trivial would force teachers to ask better questions of their students.
Shit in, shit out. If we gave children the ability to rely on ambiguously calculated formulas, they will increasingly produce more and more ambiguous answers.
It's like CAD, everything is done in CAD. Students design an test in CAD all the time. These faggots constantly make parts that cannot be manufactured, calculations are retarded and unrealistic, yet they print it out and show it off because they built it in a program.
That's what personal projects are for and why CS is truly the master race of STEM
in b4 some faggy butthurt engineer claims his ability to do row reduction on a 15x15 matrix by hand makes him more valuable than a guy who can implement a fast algorithm for it
as a mathematician, this is my fantasy
all of the engineers would need software that solves things for them
software engineers won't know how to make that software, so they will either need to hire me, or i could just make the software myself
and then, when the software doesn't solve their stuff, they will need to hire me to either work out the computation manually, or fix the software
then one day when all of the software stops working by a fortunate accident, mathematicians will be in such high demand that we could charge anything we wanted for our services
basically i get a lot of new ways to make money