Calculators are used to compute tables of values in solving problems of maximizing areas. Reproducable worksheets are included. (MP)

Students recognized as less successful individuals in mathematics are tested for their understanding of fractions. The data reveals that most were only able to apply remembered rules to problems without actually knowing if the rule worked for the given situation. (MP)

An unusual way of using the long multiplication algorithm to solve problems is presented. It is conceptually harder, since it involves negative numbers but is easier to perform once mastered, since the size of the multiplication table required is smaller than the standard one. (MP)

Three teaching ideas are presented: (1) the use of "factor cards" to teach the concept of greatest common factor; (2) examples and tools used in student graphing in three dimensions; and (3) ways to use cuisenaire rods, cubes, and flats to discover binomial expansions. (MP)

Seven activities designed to lead students to the idea that the ratio of the perimeter of a square and its diagonal is a fixed number for all squares are presented. The activities are groundwork for preparing students for the ratio between the circumference and diameter of a circle. (MP)

A number of general ideas intended to be helpful in analyzing differences in concept images among individuals are formulated. These ideas are applied to the specific concepts of continuity and limits, as taught in the secondary school and university. (MP)

Experiences of two British secondary mathematics teachers as they try curricular and instructional innovations are related. Suggestions for the teaching of several topics and specific examples of student reaction to these topics are given. (MK)

The use of a "constructivist approach" in introducing the concept of equation in algebra is promoted and presented. (MP)

The use of the hand-held calculator for introducing geometric growth is illustrated. The activity is designed for secondary school mathematics students. (MP)

Mathematical modeling is defined. Examples are used to show that there are models available which illustrate both the traditional use of mathematics in the physical science and its newer use in nonphysical disciplines, and which are at a suitable level for teaching in schools. (Author/MK)

The purpose of this report is to make a tentative contribution to the knowledge of students' understanding of the significance of numerical information. The article relates to a study made by the author. (Author/MK)

A commentary on the state of mathematics in schools that discusses positive aspects, such as the United States' successes in International Mathematics Olympiad, as well as the much-publicized criticisms of modern mathematics. (MK)

The movement to modernize mathematics education is critically examined in the area of instruction of geometry. The author concludes that the elimination of deductive geometry should be reconsidered by mathematics teachers. (MP)

A simple enumeration problem from some research on problem solving is used to illustrate the contention that conjecture and proof have a central place in mathematics teaching. (Author/TG)

Low motivation to study abstract theoretical material and lack of background in mathematics are two problems encountered by students learning electronics. To combat these problems a systems approach to learning is suggested for the study of electrical circuits and devices. (Author/TG)