THe TRIVERSITY OF CHICAGO’ PRESS 
First-Year Mathematics for Secondary ‘Schools. Second-Year 
Mathematics for Secondary Schools. By George William 
Myers, Professor of the Teaching of Mathematics and Astron- 
omy in the College of Education of the University of Chicago, 
Assisted by the Instructors in Mathematics in the University 
High School. 
First-Year, 378 pages, 12mo, cloth; postpaid $1.15 
Teacher’s Manual, postpaid 89 cents 
Second-Year, 296 pages, 12mo, cloth; postpaid $1.63 
The two texts cover the essentials of what is commonly 
required of all pupils in the first two years of secondary schools 
in this country, and include, in addition, the elementary notions 
of plane trigonometry through the solution of right triangles, 
as well as an introduction to some topics of formal algebra not 
usually treated in secondary texts. Second-Year Mathematics 
lays chief emphasis on geometry, as First-Year Mathematics does 
on algebra. Professor Myers began the preparation of his 
books in the conviction that the divisions of mathematics in 
secondary schools were largely artificial and ineffectual in con- 
necting the subject with the student’s experience. He aimed to 
make the work of the first high-school year connect smoothly 
and logically with eighth-grade work through both mensuration 
and general number, rather than with one of these subjects in the 
first year and the other in the second year. The first book is an 
outgrowth of these two arithmetical topics, developing algebra 
through quadratics and introducing — preliminary 
work in geometry before the close of the yea 
Second-Year Mathematics begins with Spintec and induc- 
tive geometry and passes rapidly to demonstrative geometry. 
It is the author’s belief that by the employment of “algebraic 
notation and by the continued application of the equation to 
geometrical matters, the hold on algebra is kept firm until the 
opportunity arises to develop with profit other algebraic topics, 
such as the completion of methods of solution of the quadratic 
equation, a discussion of the roots, and the use of inequalities 
in the solution of indeterminate equations. Plane geometry is 
fully covered. The first book may be styled algebra with asso- 
ciated arithmetic and geometry; the second, geometry with 
associated algebra and trigonometry. 
Nation. Teachers generally should study the books and prepare for the 
change of method of presenting mathematics which seems likely to be 
tried in the near future. 
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