About going up and down to NUS, I'm very clear about it. So if
I'm interested in major in maths, how will it benefit me with the
H3?
H3 is not necessary, of course. But for eager students who believe
they are more capable than, and want to push themselves beyond, the
average student, H3 represents exposure to University level
academia.
So how will it benefit you? Take it as a preview and/or
fast-forward track to doing University level mathematics,
while still in JC. It does help your overall performance, in terms
of your heightened mindset and deeper thinking, if you're exposed
and already functioning at a higher level of academia. PROVIDED
you're up to the challenge.
If you find you can't cope (eg. your H2 subjects are not doing
well, because you don't have enough time), then you can drop the H3
subject at any time. So it's safe, in that sense, to attempt the H3
challenge.
Incidentally, for Chemistry, I do teach some H3 curriculum to my
H2 students, because I find some of these aspects to be fundamental
and necessary for a complete understanding of Chemistry.
It's akin to what some students observe, "H1 Chem students have
an incomplete understanding because they skip some important parts
of the H2 syllabus". I say simiarly, for H2 to H3. But of course, I
only teach my H2 students the parts (of H3 syllabus) which are
helpful and relevant (eg. Resonance, SN1 vs SN2, mechanisms, etc),
not the parts which will totally not be examinable even indirectly
(eg. IR, UV, MS, NMR spectroscopy, etc).