Third-Year Mathematics for Secondary Schools: With Logarithmic and Trigonometric, Tables and Mathematical Formulas

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Fb&c Limited, Jun 16, 2015 - Mathematics - 516 pages
Excerpt from Third-Year Mathematics for Secondary Schools: With Logarithmic and Trigonometric, Tables and Mathematical Formulas

This third unit of Mr. Breslich's course in general mathematics for high schools aims primarily to carry forward the spirit and the method of the two former volumes. By using chapter xv at the beginning of the year as a syllabus for reviewing the ground covered in the previous work in geometry, this volume may be readily taken up by classes whose previous work has been in standard courses of algebra and geometry.

To aid pupils who do not go beyond the high school, and whose first two years of training have been in correlated mathematics, to become sufficiently familiar with the standard special mathematical methods and principles of algebra, geometry, and trigonometry, as such, and to command the existing literature of these branches, the type of correlation here used is what may be termed topical. A certain type of subject-matter is allowed emphasis for a sufficient time to enable pupils to master the appropriate type of methodology. This will seem, to a superficial critic a departure from the close type of correlation of the two preceding texts. This variation is, however, intentional, to the end that algebra, geometry, and trigonometry, as such, may be firmly grasped by the pupil while he is yet in high school. The correct description of the prevailing procedure here is: Isolation in details, but correlation in major matters. This assures any real benefits of an isolated type of treatment without losing the more important values of correlation. Mathematical training must foster both concentration and generalship. Classroom experience has verified the propriety of this type of correlation for third-year classes.

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