@Marsigit: Only a few short comments, as it is late in my time zone, and I am going to bed.

First, when I wrote about the separation between mathematics and
mathematics education, I did not mean they should be separated in
general; I meant that your utterances were confusing the two. You should
not talk about mathematics when you really mean mathematics education.

Secondly, you are contradicting yourself in saying that you are against
introducing logic but are for helping the students to think.

Thirdly, one cannot wait until students come up with the mathematics
which they will need. I presume you are familiar with the NP vs PP
problems. Students can discuss all they like, but it is unlikely that
they will re-invent the calculus. At some point, the teacher must
introduce material.

Finally, as I have been trained both as a mathematician and as a
mathematics educator in two separate programs (and different countries,
different decades, etc.), I can be a one-man experiment to see if pure
mathematics helps mathematics education. Outcome: yes.

@
David: My very short response that I am interested with your succinctly
description of Ernest works. Further, I will say that I am witnessing
the pure mathematicians are endangering the younger learner of
mathematics. The instantly outcome: possibly YES; but the long-term
architecturing creativities: clearly NO.

I think mathematics and mathematics education is little bit different, but it has some similarities too. Mathematics more concern in numeric, symbolizes, theorema, and concept, Mathematics is for who experts it. Mathematics education is needed for studying mathematics. Exactly, both mathematics and mathematics education are same. We can not say that mathematics does not load mathematics education because mathematics need ways to transfer by mathematics education.

ReplyDeleteMathematics education does too. it is used too transfer about mathematics and the value of mathematics. So, in general, we can not differ much between mathematics and mathematics education because there are relationships both of them.

Consciously or not, the logic is required in mathematics. We can not go against that logic helps us or other students in learning mathematics. so, logic and math are related.

This time, students are not only exposed to independence. However, mathematics is a history of previous scientists. Students also need to be taught mathematical concepts they have found. So, they can expand as needed.

iLania Eka Andari

ReplyDelete17709251050

S2 P.Mat C 2017

Perbedaan matematika murni (formal) dengan pendidikan matematika ada pada subyek dan materi yang diajarkan. Namun tidak dapat dipungkiri bahwa pendidikan matematika ada karena matematika ada. Di sisi lain, pendidikan matematika yang dekat dengan kehidupan lah yang telah berjasa mengembangkan matematika sampai jadi seperti sekarang