Described is the London School Plan, a small comprehensive secondary school system. The author states that the success of the small comprehensives will be judged on how well they cope with the least able student and the sixth formers (ages 16 to 19). (KC)

The author discusses the educational implications of the open sixth, which educates students in the 16 to 19 age range. He suggests that a reappraisal of the objectives and curricula for the sixth form is necessary. (KC)

This paper, after analyzing the meaning of "applied mathematics," seeks to explore and set forth some broad outlines of the pedagogical implications of studies in the application of mathematics. (Author/MP)

This paper discusses the possible uses which can be made of the history of mathematics in mathematical education. It contains a description of a lecture course for teachers in the history of mathematics and a discussion of some general and specific problems. (Author/MP)

Addition, multiplication, and exponentiation form the beginning of a natural hierarchy of binary operations on the positive integers. By employing operations above exponentiation in this hierarchy, it is possible to obtain large numbers as an immediate result of combining small familiar numbers. (Author/MP)

Mathematical modeling has gained prominence as a means of improving educational planning. One often-used model is the Markovian Model. It is shown that education, being hierarchical, is amenable to Markov-type analysis. Some consequences of the model and some results of its application in Nigeria are noted. (Author/MP)

In order to solve a functional equation, one must identify possible functions that satisfy a given equation. This paper seeks to convince the reader that students in high school could be exposed profitably to certain functional equations. Several examples of functional equations are given and discussed. (Author/MP)

The effect of the use of calculators on learning and on calculation is discussed. Also, the effects of the use of calculators in developing countries and for deprived minorities are discussed. (MP)

A major source of challenging problems for students is the use of higher mathematics to derive elementary problems. Several examples are given. (MP)

A small-group tutorial technique is described that develops creative thinking in students having difficulties in problem solving. (MP)

Data analysis revealed that a post-organizer had a significant facilitating effect on immediate free-recall in a controlled lecture in college statistics, but no effect on immediate content recognition or delayed free-recall. (MP)

A sample of 266 eleventh-grade students were used in this research project. The findings imply that particular emphasis should be placed on practice in formula derivation. Other activities related to verbal computational problem-solving ability should be reserved for home assignment. (MP)

The computer programs require the students to show that they understand the calculations by processing one set of data correctly themselves before the remaining sets are computed for them. (MP)

Two computer packages are described which augment laboratory experiments in which the effect of random variables on population processes can be explored. (MP)

Designed to supplement conventional classes, computer packages have been developed for atomic and molecular orbitals, the Boltzmann distribution law, and quantum theory and spectroscopy. (MP)