cal situation.
Much progress has been made toward the saner view of letting secondary
mathematics build its little structure into the air with some view to
harmony and proportion, and of requiring college mathematics to build
_on_ as well as _upon_ the work done by the secondary schools. The
fruitful and vivifying notions of function, derivative, and group are
slowly making their way into secondary mathematics, and the graphic
methods have introduced some of the charms of analytic geometry into
the same field.
This transformation is naturally affecting college mathematics most
profoundly. The tedious work of building foundations in college
mathematics is becoming more imperative. The use of the rock drill is
forcing itself more and more on the college teacher accustomed to use
only hammer and saw. As we are just entering upon this situation, it
is too early to prophesy anything in regard to its permanency, but it
seems likely that the secondary teachers will no more assume a yoke
which some of the college teachers would so gladly have them bear and
which they bore a long time with a view to serving the interests of
the latter teachers.
As many of the textbooks used by secondary teachers are written by
college men, and as the success of these teachers is often gauged by
the success of their students who happen to go to college, it is
easily seen that there is a serious temptation on the part of the
secondary teacher to look at his work through the eyes of the college
teacher. The recent organizations which bring together the college and
the secondary teachers have already exerted a very wholesome influence
and have tended to exhibit the fact that the success of the college
teacher of mathematics is very intimately connected with that of the
teachers of secondary mathematics.
While it is difficult to determine the most important single event in
the history of college teaching in America, there are few events in
this history which seem to deserve such a distinction more than the
organization of the Mathematical Association of America which was
effected in December, 1915. This association aims especially to
promote the interests of mathematics in the collegiate field and it
publishes a journal entitled _The American Mathematical Monthly_,
containing many expository articles of special interest to teachers.
It also holds regular meetings and has organized various sections so
as to enable its members to attend meetin
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