Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some recent trends from research mathematics and their connections to
  teaching: Case studies inspired by parallel developments in science and
  technology   We will outline our ideas for teaching in the core mathematics disciplines.
They are based on our own experience in teaching at a number of universities in
the USA, as well as in Europe. While some of the core ideas stay and have
stayed relatively constant over a long period of time, they must be varied in
accordance with the needs and the demands of students, and they must constantly
updated keeping an eye to current research and to modern international trends
in technology. Our thoughts and suggestions on the use of these trends in
teaching have been tried out by the author, and they are now in textbooks, some
by the author.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con