oer UNIVERSITY OF CHICAGO: FEESS 
First-Year Mathematics for Secondary Schools. Second-VYear 
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 $1.13 
Second-Year, 290 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 
ks 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 considerable pre- 
liminary work in geometry before the close of the year. — 
The new , Second-Year Mathematics, begins with 
constructive and inductive geometry and passes rapidly to 
demonstrative geometry. It is the author’s belief that by the 
employment of algebraic notation and by the continued applica: 
tion 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 associated arithmetic and geometry; the second, 
8eometry with associated algebra and trigonometry. , 
The Nation. Teachers generally should study the books and prepare * 
the change of method of presenting mathematics which seems likely 
to be tried in the near future. 
iI 
