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  1. In this book, you will get extensive practice with mathematical language ideas, to enhance your ability to correctly read, write, speak, and understand mathematics. Every language has its vocabulary (the words), and its rules for combining these words into complete thoughts (the sentences). Mathematics is no exception.

  2. The mathematical analogue of a noun is called an expression. ion is a name given to some mathematical object of interest. The phrase `ma. conventions regarding the naming of mathematical `nouns' sentences. how to decide if something is a sentence. object of interest' is often a number, a set, or a function. There are conventions regarding the na.

  3. The language of mathematics, which is essentially the same as the language of algebra, is well-designed to discuss patterns of mathematical operations. Math literacy depends largely upon pattern recognition.

  4. Chapter 1 Introduction to the Language of Mathematics 1.1 The Language Mathematics is the language of mathematicians, and a proof is a method of com-municating a mathematical truth to another person who speaks the “language”. (Solow, How to Read and Do Proofs) Mathematics is an extraordinarily precise language. When we state a mathematical ...

  5. Four basic concepts. Another word, which famously has three quite dis-tinct meanings, is is”. The three meanings are illustrated in the following three sentences. 5 is the square root of 25. 5 is less than 10. 5 is a prime number.

  6. Introduction. Mathematics has its own language, much of which we are already familiar with. For example the digits. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. are part of our everyday lives. Whether we refer to 0 as ‘zero’, ‘nothing’, ‘nought’, or ‘O’ as in a telephone number, we understand its meaning.

  7. In this chapter, we will define academic language (also referred to as “academic Eng-lish”), discuss why academic language is challenging for ELs, and offer suggestions for how to effectively teach general academic language as well as the academic language specific to math.

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