Data are given on how well 1520 secondary school geometry students wrote proofs. Examples of the proofs on the test are included, and the significance of the data and recommendations are discussed. A "rather low level" of achievement was found. (MNS)

Activities concern exploring data and using the stem-and-leaf plot for displaying data. The three worksheets present activities, with brief directions for the teacher included. (MNS)

A realistic problem is presented, computing the probability of winning a sports playoff series if the probability if winning a single game is known. Only simple permutation formulas and some basic logic are required to solve the problem. Two computer programs and a discussion of solution methods are included. (MNS)

Information is presented from a three-year research investigation in London which aims to characterize good mathematics teachers. Teacher, pupil, and classroom perspectives are each included for one teacher. (MNS)

Presents a computer program written in BBC BASIC to create fractal patterns. Discusses program modifications and gives graphic examples of changes. (JM)

Several examples of mathematical diagnosis using microcomputer software are presented, with possible future considerations suggested. Three limitations of the software are discussed. (MNS)

Presented is a four-part program for teaching geometric concepts related to the shape of a football. The program includes activities in which students examine footballs, construct a football using isometric paper, examine the "football" versus a regular icosahedron, and investigate planes of geometry. (JN)

Explains an application of matrix algebra which involves probability matrices and weather predictions. Using probabilities of sunny or cloudy weather students can determine the effect weather on day one will have on subsequent days. (DH)

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)

Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)

The performance of 60 fourth form pupils who had been taught to solve algebraic equations by the algorithmic or flow chart method was studied. A sizeable number of pupils were not using the flow chart method. Other types of errors are noted. (MNS)

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)

Some traditional and some less conventional approaches using the cotangent to solve the same problem are described. (MNS)

A report on the use of microcomputers is summarized, with recommendations on algorithms and procedures, the value of short programs, programs designed for general distribution, mathematical utilities, and developments in hardware. (MNS)

Some background information and guidelines on computer generation of random numbers is presented. Sections concern ways of generating random numbers and descriptions of statistical tests. (MNS)