Post by John PorcellaPost by SamsonknightWell, I cannot speak nationally but from my experience for the reason why
mathematic teaching was poor when I was doing mathematics at my school was
simply due to the fact that the majority of the teachers that taught the
subject at the time I was doing it taught it arrogantly right from GCSE.
In my school, the majority of teachers who taught the subject expected you
to understand everything they taught first time round.
Perhaps they had high expectations of their students to be able to take it
in one go!
Yeah they probably did. But that is no excuse, they as teachers should
contemplate students not "knowing" everything first time round, as it is
only natural for all students regardless of their intellect to have strong
areas in mathematics and likewise weak areas in mathematics. Otherwise what
is the point in having teachers in the first place?
Post by John PorcellaOtherwise the student
Post by Samsonknightwould just be patronized by the teacher, or will be ignored.
Time pressures?
You could rule it out on time pressures, but after doing mathematics this
year I see it as no excuse. I had a tutor once a week for 3 hours, which is
barely the recommended teaching time for AL mathematics (as I had 6 modules
to cover, can't cover both mechanics and pure in 3 hours). Therefore I had
to self teach myself 80-90% of the syllabus.
If I had an issue with a certain topic or concept, at most it will take 15
minutes to sort out - usually it took 5 minutes to sort out, due to me
misunderstanding a concept. Which is nothing, considering that once that
problem is addressed that I am able to progress forward in the field of
mathematics.
When I did do mathematics at my old sixthform,all we were covering was P1
and S1 in the first year, so either way it is just absurd to think that they
were under "time pressures". The only modules in Mathematics that are
demanding IMO are the A2 units and mechanics. So it is extremely important
that P1 is solidified for all students before the end of the year.
Otherwise, students will buckle on the later modules due to weak
foundations.
Post by John PorcellaWhere instead,
Post by Samsonknightthe teacher will put more emphasis on helping the more gifted
mathematicians, as it will look good for the school if they are able to
get
Post by Samsonknightan A/A* overall. So, as the course progressed and things became more
difficult, the student whose basic mathematical problems were not
addressed
Post by Samsonknightproperly first time round would naturally find it extremely difficult to
cope with the latter part of the course,
I am not surprised.
as the latter part puts strong
Post by Samsonknightemphasis on the earlier part of the course. The student due to being
patronized first time round by not meeting expectations will then be
scared
Post by Samsonknightto consult the teacher about the problem he/she is facing as they feel as
though they are committing a crime by not knowing what the teacher is on
about for that topic.
I suppose that if the school still got many top grades, then you cannot
blame the teachers.
Yes at GCSE most bright individuals got an A-C in mathematics. However at
A-level, where the course got much more demanding, the majority (including
those that got A's/A* and B's at GCSE) buckled at P1. If one did pass, it
would be an E in P1, and as P1 was weak, the future looked bleak for the
later modules (where the examiners assume that the concepts in P1 are second
nature). Only one individual got an A overall, he is now at Cambridge
studying natural sciences.
Post by John PorcellaPost by SamsonknightOther reasons why mathematics was taught badly was simply because aside
from
Post by Samsonknightthe above, mathematics was taught as though it was based on remembering
formulae, rather then as a language. Calculus at A-level was taught as if
it
Post by Samsonknightwas just a formulae, dy/dx = nx^-1, the teachers at either GCSE or
A-level,
Post by Samsonknighttreated mathematics as a result very abstractly. Which is why you often
hear
Post by Samsonknightstudents say "Why do we need any of this mathematic rubbish, not like we
will ever apply this to a real life situation" - when ironically all of
this
Post by Samsonknight"mathematical rubbish", is practical.
I objected to mathematics for the reasons you give. Now, I am older, I mind
less if I cannot immediately see a practical application.
I can imagine that calculus can be practical, finding stationary points or
using such tools such as trapezium rule couldbe handy if you are developing
graphically intense software like Adobe photoshop. In turn, the concepts you
learn in mechanics could again be very handy if you go into games
programming, where you have to program the recoil of a gun, the movement of
a bouncing ball etc (collisions? from M2).
I am also pretty certain that those individuals that are doing engineering
degrees are constantly applying mathematics of A-level standard and beyond.
Post by John PorcellaPost by SamsonknightSo often students did mathematics without any proper understanding on what
they were doing in the first place, or why they were using so and so topic
for a certain equation. This combined with what I have mentioned earlier
about impatient/arrogant teachers is a good explanation for the poor pass
rate in A-level mathematics and why not many people do A-level mathematics
in the first place, rather opting for the "mickey mouse" subjects.
Ah, so their strategy did not work! Oh dear! Back to the drawing board,
but in the meantime they have messed up a poor student's examination results
and career.
Yeah, why not go murder someone whilst at it and then blame it on the
students. The things some teachers get away with...
Leaving sarcasm aside, I am no way implying that it is totally the teachers
fault, as there are some students that deserve to fail due to their own
sheer lazyness. But, all I am pointing out is if students have faults then
so do teachers - yet they will never admit theirs and would rather blame the
students for their own failures.
Post by John PorcellaPost by SamsonknightI feel that the real problem for why "mathematics is seen as hard" is not
secondary school education, but really stems from primary school
education.
Post by SamsonknightSo I feel that, once you get to secondary school, teachers there are
arrogant and impatient, because they expect you to know fundamental
mathematics from primary school as if it is was second nature. Therefore
they carry the attitude they have because they refuse to pick up the
pieces;
Post by Samsonknightwell I don't blame them to an extent.
Which is why I like learning maths from a private tutor...you can stop them
at any time and press them to repeat something or explain it a different way
until it gets through into my tiny brain!
I agree, which is why even though teaching time was severly limited (3 hrs a
week), I opted for a private tutor this year.
Post by John PorcellaPost by SamsonknightThe problem with primary school teaching is that we had in the majority of
cases one teacher to teach 7 different subjects including mathematics.
I was observing a maths class in a primary school taught by a very good
literacy co-ordinator. She taught the mechanics of how to find the area of
squares and rectangles without any introduction as to what an area was.
Consequently, the pupils were constantly confusing perimeter and area.
When
one child asked why there was a number two written above cm or m, the
teacher said, "I don't know!" Maybe they do not need to know.
Exactly, so absurd. Really it is! and people wonder why they are bad at
mathematics!... Mathematics is a language, so if everything that is basic is
not addressed properly, then people will be bad at mathematics regardless if
they have the potential to do complex numbers flawlessly. Yet often people
associate being "bad" at mathematics as "not" being able to do mathematics -
its a defeatist cop out. Yeah sure, some people are gifted at mathematics,
just like some people are gifted at the English language, but that does not
mean I/you cannot pass A-level or GCSE mathematics because there are people
that do through sheer hardwork and good teaching.
On the other hand, if you are not gifted at mathematics and plan to get a
1st after doing a degree in mathematics then ....