Divisibility facts, greatest common divisors, least common multiples, and relative primes are explored through the use of lattice diagrams. (JT)

A unique magic hexagon, which can be used to help improve students' computational skills, is presented. (JT)

The author addresses the issue of planning a sequence of lessons around a topic. He illustrates his points with a series of activities related to measurement. (SD)

Problems in three contexts requiring the same computations were given to 34 students to test the hypothesis that students who could perform computations in mathematics problems were frequently unable to do them in other contexts. Results indicated that there were random (careless) errors in all contexts. (SD)

A method of bisecting an angle by construction of an isosceles triangle and its axis of symmetry is described. (SD)

A method for teaching students to solve complex algebraic equations is described. The method, which relies on sequentially reducing the complexity of the problem has been successfully used with secondary students and in remedial college courses. (SD)

The author describes the philosophy and use of the British text sequence "Mathematics for Schools" developed by Harold Fletcher. (SD)

The results of a study that defined negative attitudes toward, and negative behaviors in, mathematics on the part of junior high school females are reported. Teachers alert to the pattern may facilitate attitude change, and four areas in which they can promote females' continuance in mathematics are defined. (MNS)

A new potential for using microcomputers to help secondary school students learn mathematics through self-diagnosis and self-remediation is contrasted with current uses of computers for diagnosis and remediation. Research findings and software are cited in the discussion. (MNS)

Using computers to provide diagnosis and remediation in mathematics is emphasized. Some essential features of technology-supported learning environments are discussed, as well as features that facilitate their use. Illustrated is a computer environment for learning algebra. (MNS)

This activity exposes beginning algebra students to the concepts of slope and intercept. Four worksheets pertain to the "electrician problem." (MNS)

Five studies conducted in high school mathematics and science classes from 1984 to 1986 are reviewed to better understand teaching and learning processes associated with high-level cognitive learning. Factors that influence the ability to cover the curriculum in the planned time are identified and discussed. (Author/MT)

Mathematics is considered a performing art. Examples illustrating this view are presented. Activities discussed are from the Madison Project materials and the mathematics program at University High School in Urbana, Illinois. Activities stress inventing strategies for attacking problems for elementary and secondary school mathematics. (RH)

Practical tips are presented for teaching concepts related to percentage and the integration of powers of "e." (PK)

Cryptarithm puzzles are explained and discussed. Examples are provided and reproducible student worksheets are included. (PK)