Constructivist approach versus traditional mathmatics?
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Constructivist approach versus traditional mathmatics?
I'm wondering about the pros and cons of a constructivist approach to math. Any thoughts or any articles addressing this? Thanks!
Constructive maths may be a time taking process initially but for a long run it will save a lot of time and energy. It avoid students in memorizing the formulas and they can derive it more easily if they forgot the formulas. I think it will be the best technique for the students who are looking to build career in Mathematics.
The theory behind the formulas is important, yes. I'm just saying that with math, only the "best" way(s) to do each problem should be supplied - anything else is just adding confusion - and there should be a lot of focus on math drill. Being able to do math quickly in your head is every bit as important as knowing why a specific math technique works.
A constructivisti s a very strange mathematician. If you tell them that the light switch is NOT on they WILL NOT conclude that the light switch is off. They always think there is a 3rd option in that case. Very few mathematicians are like this and they are looked down upon by other mathematicians.
As far as knowing how to proof things ALL (pure) mathematicians will agree that this is the only way to proceed.
As far as knowing how to proof things ALL (pure) mathematicians will agree that this is the only way to proceed.
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