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In compliance with the resolution passed by the Honorable th of June, I beg to lay
before you the following divisions of labour to be performed by the
Professors and Tutors.
This statement, it will be seen, differs from r
Caldwell'sm
Hooperequal share of labor whatever that may
be.
I avail myself of the present opportunity of making the following statement
for the information of the single case
of an entire failure. It is therefore with no little mortification that
after an impartial review of what has been affected here I am compelled to
say I have utterly failed of my object, the extremely meager minorities of
the successful students being a confirmation of my assertion. The causes
which have operated to produce this result one no doubt various and some
perhaps beyond our control; but it is believed however that some may be
traced to the following sources. 1. The imperfect, superficial and
inaccurate methods adopted by too many teachers of the elements of
Arithmetic & Algebra in our schools, the consequences of which are
lamentably injurious, as they are felt thro' the entire collegiate course of
study,
As a proposition has been made to raise the standards of education higher, by demanding the matriculate an acquaintance with Algebra, and introducing new subjects of instruction into our course, I beg to present the following remarks.
That system of education which embraces the synthetic to the exclusion of the
analytical mode of mathematical instruction is essentially defective. First,
because the analytic being more concise it admits of the introduction of a
greater amount and variety of information in a given time. Secondly, it is
more uniform, general and comprehensive. There is a very great similarity in
all analytical processes; all are conducted by the same general rules, and
commonly lead to universal results, whence particular consequences are
deducible at pleasure. Thirdly, it is the easiest. Its processes are simple,
its necessary modifications natural and obvious, and its operation being
general and elements few, it imposes no unnecessary load to the memory.
I recommend therefore the candidates for the Freshman class be required to
stand an examination on the whole of Arithmetic, practical &
theoretical, and Algebra as far as Irrational and Imaginary qualities in
same
subjects in any other treatise, as are found in