Why calculus is taught in secondary schools is discussed, as well as how "modern mathematics" affected calculus, is calculus so difficult, and how calculus should be taught. (MNS)

When high school mathematics grades and test scores were analyzed, findings showed that high- and middle-ability students who had a modern mathematics course in the seventh grade received significantly higher grades in Algebra I, II, III, and Geometry than did students who had a traditional seventh grade mathematics course. (DT)

While group theory is an important part of mathematics, it should not be taught before college. The problems which led to its historical development are too difficult for the schools, and the use of simple problems invites misconceptions. There are very few easily stated physical applications. (SD)

Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

Examined are the arguments related to whether traditional or new mathematics curricula better prepares students to write proofs. Analyzed are "proofs" presented by students; the author argues that the ability to produce a proof depends upon the cognitive level of the student. (SD)

The concept of function is central to the teaching and learning of mathematics. As a mathematical notion, the concept of function is fundamental, yet powerful, and is a unifying theme that is found running throughout most branches of mathematics. Until quite recently, when it came to the elementary transcendental functions it was commonly…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) Laplace; (2) Carl Friedrich Gauss; (3) Wolfgang and Johann Bolyai; (4) Evariste Galois; and (5) Josiah Willard Gibbs.…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) Srinivasa Ramanujan; (2) Minkowski; (3) Stefan Banach; (4) Alfred North Whitehead; (5) Waclaw Sierpinski; and (6) J.…

Reviews the use of diagrams in presenting new materials as a reflection of the growing generality of mathematics education in England. Social needs, mathematical research, learning theories, school population, and technology are given as reasons for rapid change in mathematics education. Available from: 18 Campden Grove, London, W8 4JG, England.…

Discusses problems related to the lack of mathematical competence in school physics, the contribution of modern math to the teaching of school physics, and the lack of cooperation between physics and math teachers. Presents a promising model to create a satisfactory liaison between math and science in the schools. (GS)

This volume is an experimental edition for a high school course in the theory of matrices and vectors. One of the basic aims is to demonstrate the structure of mathematics. Another criterion is to provide some tools that will be useful in the student's transition from school to college. A last objective is that the intellectually vigorous students…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) the nature of mathematics; (2) mathematical inutility and the advance of science; and (3) logic. (MP)

Discusses how modern mathematical language can be used to develop chemical ideas in class. Examples for the application of Venn Diagrams and Flow Diagrams in teaching chemistry in the Nuffield courses are presented. (HM)

The purpose of this study was to evaluate the appropriateness and effectiveness of current high school mathematics curricula for students in technical and vocational education programs. Students in 21 Wisconsin high schools were surveyed; administrators and chairmen of mathematics departments in these schools were also interviewed. Results…