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Mmw lesson 2 1 mathematical language and sumbols

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Mathematical Language and Symbols Learning Outcomes At the end of this chapter, the students must be able to: 1. discuss the language, symbols, and conventions of mathematics; 2. explain the nature of mathematics as a language 3. perform operations on mathematical expressions correctly, its basic concepts and logic; and 4. appreciate that mathematics is a useful language. Key Concepts The Language, Symbols, Syntax and Rules of Mathematics The Language of Mathematics is the system used by mathematician to communicate mathematical ideas among themselves. This language consists of a substrate of some natural language (for example English) using technical terms and grammatical conventions that are peculiar to mathematical discourse, supplemented by a highly specialized symbolic notation for mathematical formulas. Mathematics as a language has symbols to express formula or to represent a constant. It has a syntax to make expression well-formed to make the characters and symbols clear and valid that do not violate the rules. Mathematical symbols can designate numbers (constant); variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations, and other aspects of logical syntax. A mathematical concept is independent of the symbol chosen to represent it. In short, convention dictates the meaning. The Language of Mathematics (Wikipedia) makes it easy to express the kinds of symbols, syntax and rules that mathematicians like to do an ...
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