On these worksheets, students are to graph pairs of linear equations and linear combinations of these pairs, using the results to discover an algebraic technique for solving a system of epuations. They then complete, run, and modify a computer program for solving a system of linear equations. (MNS)

This study examined the effects of field dependence/independence and the level of operational development on the mathematics achievement of 450 students in grades 6-8. Field-independent students scored significantly higher on total mathematics, concepts, and problem-solving tests. High-operational students scored significantly higher on all tests.…

Deciding, with outline maps, what highway exits to use to reach various towns most speedily is the problem presented. The simulation is geometric, focusing on loci. (MNS)

Fifty-five fifth-form comprehensive school students were interviewed about mathematics and how it is taught. Their attitudes, views on how mathematics can be made more interesting, the need for understanding and for clear explanations, and the importance of the teacher are discussed. (MNS)

Three ideas are explored: (1) an improvement of the SSA congruence theorem for trigonometry; (2) a discussion of the failure of SSA in spherical geometry; and (3) an extension of SSA to spherical geometry and hyperbolic geometry. (MNS)

Optical illusions are assumed to be of interest to high school mathematics students. The article indicates how a topic can be both educational and entertaining. Readers are invited to try to construct some illusions on their own, and to see if they can classify them. (MP)

A comparison of male and female enrollment in mathematics courses for six predominantly Black senior high schools was made. Patterns were not found uniform across schools and females were about as likely as males to elect courses. It is suggested that future studies should focus on conditions within schools. (Author/MP)

Issues covered stem from concerns that research in mathematics education may not always be used to maximum advantage, or engaged in things that would help teachers. Details of work done at Chelsea College, University of London are provided. Teaching is criticized as a profession which does not listen to customers. (Author/MP)

The approach is to fill positions in a star shape with values from a set so that the sum of each line is equal to the sum of every other line. There are four values in each of five lines. Related problems based on other shapes are noted. (MP)

This study, based on individual interviews with 100 students (aged 16 to 22 years), was designed to investigate understanding of elementary calculus (particularly integration and differentiation). Results indicated that items related to understanding integration as the limit of a sum were difficult even for good students. (Author/MP)

Analysis of the mathematics used on the job in many different situations indicated that all observed was related to restricted concrete situations, which was found to soon become familiar to the employee. Calculators and industrial technology were found to contribute towards a reduction of mathematical demands on employees. (Author/MP)

Examples selected illustrate the two-way nature of links between mathematics and geography. Discussion and cooperation are viewed as needed between various teachers in school to ensure that pupils appreciate that different subjects are not completely isolated from one another but that knowledge can have applications in several areas. (Author/MP)

Discusses a short computer program used in teaching the random (RND) function in the BASIC programming language. Focuses on the mathematical concepts involved in the program related to elementary probability. (JN)

The material presents an alternative method for arranging proofs, which arranges development in levels. The method is described as triggered by recent ideas from computer science and is intended to increase the comprehensibility of mathematical presentations while retaining their rigor. Several examples using this approach are presented.…

Some alternatives available for meeting the needs of the mathematically gifted student at the secondary school level are examined. Along with curriculum modification are discussed such approaches as magnet programs, special schools, special classes, summer programs, and mentor programs. (MNS)