Let us then stand upon the ground already marked out, holding that the
pleasure, the culture, the mental poise, the habits of exact reasoning
that geometry brings, and the general experience of mankind upon the
subject are sufficient to justify us in demanding for it a reasonable
amount of time in the framing of a curriculum. Let us be fair in our
appreciation of all other branches, but let us urge that every student
may have an opportunity to know of real geometry, say for a single year,
thereafter pursuing it or not, according as we succeed in making its
value apparent, or fail in our attempt to present worthily an ancient
and noble science to the mind confided to our instruction.
The shortsightedness of a narrow education, of an education that teaches
only machines to a prospective mechanic, and agriculture to a
prospective farmer, and cooking and dressmaking to the girl, and that
would exclude all mathematics that is not utilitarian in the narrow
sense, cannot endure.
The community has found out that such schemes may be well
fitted to give the children a good time in school, but lead
them to a bad time afterward. Life is hard work, and if they
have never learned in school to give their concentrated
attention to that which does not appeal to them and which does
not interest them immediately, they have missed the most
valuable lesson of their school years. The little practical
information they could have learned at any time; the energy of
attention and concentration can no longer be learned if the
early years are wasted. However narrow and commercial the
standpoint which is chosen may be, it can always be found that
it is the general education which pays best, and the more the
period of cultural work can be expanded the more efficient will
be the services of the school for the practical services of the
nation.[15]
Of course no one should construe these remarks as opposing in the
slightest degree the laudable efforts that are constantly being put
forth to make geometry more interesting and to vitalize it by
establishing as strong motives as possible for its study. Let the home,
the workshop, physics, art, play,--all contribute their quota of motive
to geometry as to all mathematics and all other branches. But let us
never forget that geometry has a _raison d'etre_ beyond all this, and
that these applications are sought primarily for the sake of geometry,
and that geometry is not taught primarily for the sake of these
applications.
Public-domain text, read in full here on John Shaqi.
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