seanieg89
Well-Known Member
- Joined
- Aug 8, 2006
- Messages
- 2,662
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- Male
- HSC
- 2007
HS just teaches you to do basic calculations quickly and pretty much directly apply some simple theorems in the various topics.
The calculus you do in HS is nowhere near rigorous and nor should it be, for the sake of actually being able to solve some decent real world problems within only a years of HS speed teaching and for the sake of not alienating all students without a strong interest in the more abstract side of maths. The loose intuitive ideas are more important than the precise flow of logic at that stage in your education.
It's pretty much the level of rigour that people like Newton and Leibniz used when they invented calculus and solved a ton of problems (especially from fields like mechanics). Rigorous analysis was only properly developed later, and its hard to appreciate just why its so important to have this rigour if you are only exposed to the current HSC syllabus.
The calculus you do in HS is nowhere near rigorous and nor should it be, for the sake of actually being able to solve some decent real world problems within only a years of HS speed teaching and for the sake of not alienating all students without a strong interest in the more abstract side of maths. The loose intuitive ideas are more important than the precise flow of logic at that stage in your education.
It's pretty much the level of rigour that people like Newton and Leibniz used when they invented calculus and solved a ton of problems (especially from fields like mechanics). Rigorous analysis was only properly developed later, and its hard to appreciate just why its so important to have this rigour if you are only exposed to the current HSC syllabus.