In this section, suggestions are given for working with radian measures, proving logarithmic properties, the law of cosines as seen by Pythagoras, and an alternative proof of a theorem. (MNS)

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…

This article shows how simple instruments may be used to construct angles of certain measures and applies this procedure to more detailed problems. A proof of the Pythagorean Theorem is given using these procedures. (CT)

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)

Outlines two experiments by which several different mathematical topics can be integrated into the unifying theme of oscillating pendulums, as part of a secondary school Algebra II and Trigonometry class. (CS)

Some of the changes in mathematics curriculum and pedagogy suggested by the calculator are described and discussed. (MK)

Argues that proving something begins with an assumption and proceeds logically to a conclusion, thus convincing by offering arguments. Describes some pitfalls involved in proving through examining several case histories. Offers suggestions for teaching the proof process. For example, sometimes an extreme example or counterexample will do more to…

Describes a classroom inquiry into expressing the number pi as the limit of a sequence of different ratios using relationships among coins and the radius of an inscribed circle. (KHR)

Students can learn to make algebra, trigonometry, and geometry work for them by using matrices to rotate figures on the graphics screen of a graphing calculator. Includes a software program, TRNSFORM, for the TI-81 graphing calculator which can draw and rotate a triangle. (MKR)

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…

Non-linear second-order differential equations whose solutions are the elliptic functions "sn"("t, k"), "cn"("t, k") and "dn"("t, k") are investigated. Using "Mathematica", high precision numerical solutions are generated. From these data, Fourier coefficients are determined yielding approximate formulas for these non-elementary functions that are…

This project was coordinated and funded by the California Partnership for Achieving Student Success (Cal-PASS). Cal-PASS is a data sharing system linking all segments of education. Its purpose is to improve student transition and success from one educational segment to the next. Cal-PASS' math deconstruction projects were initiated by the faculty…