This handbook is directed toward those who have to deal with spoken mathematics, yet have insufficient background to know the correct verbal expression for the written symbolic one. It compiles consistent and well-defined ways of uttering mathematical expressions so listeners will receive clear, unambiguous, and well-pronounced representations. Section I provides an introduction, including comments on how to use the handbook. In section II the various types of alphabets used in mathematics are listed. Section III lists the basic symbols used in mathematics, along with their verbalizations. Sections IV-XI list the expressions used in some of the more common branches of mathematics, along with their verbalizations; algebra, trigonometric and hyperbolic expressions, logic and set theory, elementary and analytic geometry, statistics and mathematics of finance, calculus and analysis, linear algebra, and topology and abstract spaces are included. Section XII contains some suggestions on how to and how not to describe diagrams and graphs. (MNS)