The following ideas are included: (1) solving a quadratic equation geometrically by completing the square, which helped a class of secondary physics students understand the formulas; and (2) a way of teaching factoring of quadratic trinomials that is based on the behavior of odd and even numerals under addition and multiplication. (MP)

Listed are classroom resources--films and filmstrips, textbooks, multimedia kits, and cassettes--for mathematics. Included in each resource listing are a description of the content emphasis, organization and/or instructional method, objectives, recommendations/evaluations and, in some cases, student evaluations. (KC)

This research study shows that it is possible to advance the use of proportional reasoning of many secondary school students by means of a well-designed teaching program. (MP)

An example is discussed in which a drill exercise, initially involving whole number addition, can be used to develop concepts in equations of many variables. (MP)

Based on information gained in an interview with a 12-year-old girl in grade seven, a rational reconstruction of the student's problem-solving strategy is proposed and compared with the strategies normally prescribed in contemporary school mathematics textbooks. (Author/CHC)

The author argues against some topics included in the standard high school mathematics curriculum, including traditional algebraic word problems, trinomial factoring, complicated fractional expressions, and some geometric theorems and proofs. (MP)

An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)

An unusual algorithm for approximating square roots is presented and investigated using techniques common in algebra. The material is presented as a tool to interest high school students in the logic behind mathematics. (MP)

Four problems are presented and solutions using a calculator are illustrated. (MK)

The effect of testing format on achievement was investigated. Statistical analysis indicated no significant differences between any of the four formats used. (MK)

Reasons for changing the mode of teaching undergraduate mathematics are discussed. A description is given of the mathematics program as it has evolved at Victoria University of Wellington, New Zealand. (MK)

An activity leading to the discovery of a property of primes is suggested for encouraging algebra students to make nontrivial conjectures. (MP)

The intention of this investigation was to diagnose the retention of some basic skills in some topics in algebra and geometry and to reveal difficult steps in the learning processes in these topics. (MP)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)