The whole contrast between conservative and
progressive was interesting to reflect. It was shocking to see that according to
conservatives the only reason to study math was just knowing “minimal math
survival skills” and the “abstract technical skills” were only for a very small proportion
of people whereas the progressive approach of math is to develop the problem-solving
skills in all the students without any discrimination. Although I believe that
fluency (supported by conservatives) is important in math, during my
past school visits, and in my Canadian experience, I have seen the dependency of
students on the calculators for simple calculations. Therefore, I
think students should be taught in such a way that they understand the logic
and then building on the logic they become fluent as well. (For instance,
multiplication tables can be understood by thinking in groups, 12× 9
can be explained as 12 groups of 10 take away one group of 12)
I found that it is important for the math teacher to
have a good grasp of the math concepts. I can understand how elementary
school teachers have to teach everything including math even if they are not
comfortable teaching math. But it is important to realize that the young
students tend to develop the same attitudes which their teachers have, so it is
essential to be always on the progress of learning and overcoming the “math
phobia” and the other challenges for the enrichment in both students and
teachers learning.
Dewey ‘s thoughtful remarks made me stop and digest
them. I found it interesting how the two entirely different approaches (conservative
and progressive) can lead to entirely different human beings. The Ones who are
“obedient rule followers” and the other ones are reflective” scientific and
democratic thinkers”. Students can greatly benefit and develop their mental
inquiries by doing things and exploring its corollaries rather than just
following the facts. Although I believe, doing practice, following the
algorithms and knowing the reasons behind it, plays an important part in
understanding math concepts in depth.
The rise and fall of the new math war is another
evidence that the conservatives approach focusses on educating certain group of
students who can understand abstract mathematics and have the potential to
become future scientists, but we know that everyone has different capabilities, so it is important to recognize those potentials of the students and
design the pedagogies to help them explore their talents. In addition to this, I
insist that we should also explore modern mathematics topics such as set theory,
linear algebra, abstract algebra in addition to calculus to give the wide
exposure to the students who want to extend their knowledge in math.
Very thoughtful comments, Jashan! And I agree completely — fluency and practice can and should certainly be incorporated in a progressive approach as it has its own importance.
ReplyDeleteThanks Susan!
ReplyDelete