Why does mathematics use a specialized vocabulary




















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August 9, Dawn Notino. It is followed by three more definitions:. Biology The physiological activity of an organ or body part. Chemistry The characteristic behavior of a chemical compound, resulting from the presence of a specific functional group. Computer Science A procedure within an application. That's a hefty load for one word to carry. Readers or listeners encountering the word "function" may understandably have difficulties sorting through so many definitions to ascertain the word's meaning in a particular context.

Even when such a word is properly defined near the beginning and the context is clear, a reader unfamiliar with the notion may later revert to other, more familiar meanings of the word, potentially creating confusion in the reader's mind.

When I was a writer for Science News magazine, I could only on rare occasions get away with using the word "function" in my mathematics news articles without offering some sort of definition of the concept, expressed in words. In the same way, mathematicians should realize that words they use routinely can echo in unexpected ways in the minds of their listeners or readers, particularly in ways that reflect different experiences and contexts.

Such words include acute, base, chaos, chord, composite, concurrent, coordinate, degree, dimension, domain, exponent, factor, graph, group, linear, matrix, mean, network, obtuse, order, power, prism, proof, radical, range, relation, root, series, set, vector, and volume.

Each has a precise mathematical meaning; each also has multiple alternative meanings. On the other hand, the word " fractal ," coined by mathematician Benoit Mandelbrot , is a noteworthy example of a term that works in both a mathematical and a popular context. Mathematics could use more such words.

People are genuinely curious about mathematics, despite the overwhelming fear of the subject that many may feel. Mathematicians who pay particular attention to how they express themselves and connect with their audiences through a common, nontechnical language can make important contributions to the public understanding of mathematics.

This article is part of a contribution by I. References :. Gowers, T. The Princeton Companion to Mathematics. Princeton University Press. Peterson, I.

Searching for new mathematics. Posted by Math Tourist at Tuesday, June 22, Labels: Communicating Mathematics. Newer Post Older Post Home. Subscribe to: Post Comments Atom. As an award-winning mathematics writer, he previously worked at Science News for more than 25 years and served as editor of Science News Online and Science News for Kids.



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