Second-Year Mathematics for Secondary Schools

Excerpt from Second-Year Mathematics for Secondary Schools

This book by its copyright purports to be a second edition of a former text of the same title by other authors. It is this in the sense that it carries forward through the second high-school year a reconstructed form of the union mathematics of a first-year text. It allies itself with the former work also in that it places chief emphasis on plane geometry.

The older Second-Year Mathematics was an attempt to furnish a concrete contribution to the problem of introducing greater homogeneity and continuity into the secondary mathematical subjects from year to year. In this particular also this book resembles the earlier text.

In a very real sense, however, this volume is a new contribution, with its own plans and purposes. Its primal aim is to furnish a gradually progressive continuation of the form of reconstructed mathematics of the text First-Year Mathematics, by Mr. Breslich himself. It aims definitely to teach how to study as well as the content of a second unit of secondary mathematics. It accomplishes this through the nature and form of the material, through explicit exhibits and formulated tests of sound and unsound reasoning, through study-helps, directions for working, and systematic chapter summaries.

It seeks neither to eliminate nor to curtail inherent mathematical formalism, but to fill forms and technique with the meanings that flow from a well-balanced treatment of related material drawn from the kindred elementary subjects.

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