The study of
mathematics may be likened to the study of a language. In fact, mathematics is
a language, the language of number and size.
Just as the rules of grammar must
be studied in order to master English, so must certain concepts, definitions, rules,
terms, and words be learned in the pursuit of mathematical knowledge.
These form
the vocabulary or structure of the language. The more language is studied and
used, the greater becomes the vocabulary; the more mathematics is studied; the
more mathematics is studied and applied, the greater becomes its usefulness.
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