Classical, formal, and intuitive mathematical proofs are discussed in relation to secondary school mathematics instruction. (DT)

The method involving properties of complex numbers and polar coordinates is used in deriving the formulas for the sine of the sum of two angles, the tangent of the difference of two angles, and the sine of the double angle. (DT)

Directions are given for the mechanical construction of hyperbolas, ellipses, conchoids, and lemniscates. (DT)

This volume presents a full high-school course in elementary algebra and contains all the topics given in the standard year-and-a-half courses. It is adapted to the prevailing practice of teaching elementary algebra in two courses--a full-year course followed by a half-year course. The first 23 chapters contain all the work required in any…

The busy teacher of high-school algebra often finds that limitations of time forbid the actual working out of all the exercises and problems in a text. This teachers' edition is designed to meet such a condition. In its plan it is brief and schematic rather than complete and detailed. Many exercises are so simple that the answers only are given in…

The busy teacher of high-school algebra often finds that limitations of time forbid the actual working out of all the exercises and problems in a text. This teachers' edition is designed to meet such a condition. In its plan it is brief and schematic rather than complete and detailed. Less time should be required to prepare a lesson from this…

Students from two junior high school mathematics classes were assigned either to a treatment in which every homework problem was graded or to one in which a random half of the problems were graded. There were not significant differences between treatment groups on achievement after a six-week period. (JP)