Excerpt from The Teaching of Mathematics in Secondary Schools In addition to the purely pedagogical discussions, this' volume contains certain topics in pure mathematics which, on account of their bearing upon teaching, should be familiar to every teacher. These topics re late principally to the modes of attack (chapter XV), but also to the foundations of mathematics (chapter V), to the division of the circle (chapter XVI), and to a few other subjects. These chapters may be omitted when a rapid survey of the purely pedagogic matters is desired. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.