A unit on the quadratic equation is described. The discovery approach is used and the computer is integrated into the study of mathematics. (MK)

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

Discussed are ways in which the slide rule can illustrate a number of mathematical functions and concepts. Fundamental operations and visual advantages are reviewed. (CS)

Five intuitive explanations of division by zero that arise from the common models used in the elementary school to introduce whole number division are presented. (MK)

Some history, applications, and unique characteristics of zero are discussed. (MK)

Masters of worksheets designed to generate interest in mathematics and provide mathematical experiences that lead to the introduction of the concept of a variable are presented. (MK)

This paper hypothesized an explanation for declining achievement scores in science, centering a reduction in time and emphasis devoted to cognitive activities. Analysis of data did not produce definitive results, but indicated a need for further study. (MK)

This study, conducted with seventh graders, lends support to the Piagetian hypothesis that the development of formal operations is a prerequisite for the effective learning of the proportions concept. (MK)

This article, a reprint from 1930, offers an interesting perspective on the importance of diagnostic and prescriptive teaching as well as the role of drill and the use of objectives in mathematics. (Author/MK)

As a part of the investigation into children's understanding of mathematics undertaken by the Concepts in Secondary Mathematics and Science (CSMS) project, students in English secondary schools were given a class test on transformation geometry. This is a discussion of the results of the third-year sample, who were about 14 years old. (Author/MK)

Practical tips on the teaching of various secondary mathematics topics are given. Topics include geometric concepts related to circles, mathematical properties and procedures illustrated with a scrabble game, and the limit concept and infinity. (MK)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Suggestions are given for teaching function notation, fractional calculations on a calculator, division to relucant learners, and a probability problem. (MK)

The most significant feature of this program is the sorting of students into small groups managed by student teachers. This serves the purpose of teacher education as well as student remediation. (MP)

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