Ben Orlin lays out his premise in the introduction and then dives the reader into it. He discusses the syntax of Algebra, looking at numbers and treating numbers as nouns in that syntax. After he has gone through symbols, equations, graphs, errors, and rules, he takes a break and provides a phrase book - A Local's Guide to Mathematical Vocabulary. Orlin then drags the reader into the actions of mathematics - what he calls the Verbs. Verbs for Orlin include the standards - addition, subtraction, multiplication, division plus squaring/cubing, exponents, logic and proofs, infinity and a host of others. Orlin finishes off the book with famous names and mathematical folklore followed by citations and where a reader could learn more.
If the reader is looking at a different approach to mathematics, Ben Orlin's Math for English Majors will aid in that quest.He accompanies the text with bad drawings (he has written another book called Math with Bad Drawings) to illustrate his points. Give it a try and maybe you will retain more math knowledge then when you started!
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