Two brief articles are included, one on a different method for solving percentage problems, and one on a trick for the calculator involving the sine to find one's age. (MNS)

The authors draw together a variety of facts concerning a nonlinear differential equation and compare the exact solution with approximate solutions. Then they provide an expository introduction to the elliptic sine function suitable for presentation in undergraduate courses on differential equations. (MNS)

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

An old way to determine asymptotes for curves described in polar coordinates is presented. Practice in solving trigonometric equations, in differentiation, and in calculating limits is involved. (MNS)

The author argues that sine, secant, and tangent should be taught as the three basic trigonometric functions rather than sine, cosine, and tangent. (SD)

Some traditional and some less conventional approaches using the cotangent to solve the same problem are described. (MNS)

This book presents motivational ways to teach key concepts and topics common to all secondary mathematics curricula. It is arranged by subject matter which includes algebra, geometry, trigonometry, probability, statistics, and miscellaneous topics. The objective to be attained by implementing the unit on each of these subjects is stated, and the…

The following ideas are shared: (1) a low-stress subtraction algorithm that eliminates the traditional borrowing process, and (2) an approach to graphing circular functions that looks at the process of modifying simple functions as a series of shifting, sliding, and stretching adjustments, with its biggest advantage viewed as its generality. (MP)

The most important objective when starting a class on a previously unknown branch of mathematics is to ensure that the students enjoy and appreciate the significance of this new aspect of mathematics. Inundating them with a flood of technical terms and definitions without any reality experience is a fast way to send the students out of class…

Constructing model hot air balloons is an activity that captures the imaginations of students, enabling teachers to present required content to minds that are open to receive it. Additionally, there are few activities that lend themselves to integrating so much content across subject areas. In this article, the authors describe how they have…

Techniques are suggested for preparing practice exercises in algebra and trigonometry. (JP)

Teacher tips are presented concerning geometry laboratory work, mathematics history, development of problem situations, and use of transparencies in graphical exercises in secondary school mathematics classes. (JG)

Demonstrates the use of hexagonal dot paper in integrating algebra, geometry, and trigonometry within a single problem-solving setting rather than treating them in isolation. Suggests other related mathematically challenging activities for enrichment. (AIM)