Excerpt from The Texas Mathematics Teachers' Bulletin, Vol. 14: February 8, 1930
The table of contents includes twenty-four chapters. The first of these deals with the simple subject of the value of ciphers and the methods of counting. The four chapters that follow take up the four fundamentals of addition, sub traction, multiplication, and division. These are followed by a chapter on checks to verify the processes discussed. Up to this point there is nothing extraordinary. Then fol low two chapters headed as follows, How to add diverse things, How to subtract diverse things, in which the author gives examples involving different money values, and points out methods for reducing the various coins in use to a common value. He then takes seven chapters from IX to XV to discuss fractions, discussing addition, subtrac tion, multiplication, and division separately, and giving lastly a chapter on checks or proofs to test the operations discussed. In chapter XVI he discusses progressions under the title of De las progresiones de los numeros. He declares there are three kinds of progressions: arithmetical, geometrical, and musical, but that he will present only the first two of these.
Of particular interest is his quaint yet thorough explana tion of proportions and simple equations which he calls Regla de Tres (rule of Three). In five chapters, from XVII to XXI, he explains in detail the various types of simple equations and their practical application to problems in trade and partnership. He has two chapters that deal in particular with the proportional profits in partnership. This section is very interesting.
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