Addresses problem of developing machine-based information system capable of indicating one document, out of a set of documents written in natural language, which shows maximal degree of homeosemy (relationship in meaning between two texts language-fragments ) toward natural language query. Linguistic aspects, information traces, trigrams,…

Describes "Josef," a robot programing language similar to the LOGO turtle language, which has been designed as an instructional system through which the algorithmic problem-solving skills required in computer programing can be developed and tested in a controlled learning environment. Four figures and a reference list are included. (JL)

The game of Yahtzee is discussed in terms of the various outcomes of turns in the game and their point values and the probabilities associated with achieving specific combinations of dice values. Several tables and methods of table construction are noted, and several challenge exercises are included. (MP)

Explores the nature of the differences between end-of-training behavior and job behavior, the means by which end-of-training behavior is produced, and ways to minimize problems with the transfer of learning from off site training programs to the job. (Author/LLS)

Details are given of a simple computer program written in BASIC which calculates the sine of an angle through an application of DeMoivre's Theorem. The program is included in the material, and the program's success is discussed in terms of why the approximation works. (MP)

A model of the division algorithm is described which relates step-by-step to the standard algorithm. Use of the model in instruction requires the distribution of a special worksheet. The focus of the instruction is on students sharing some amount of money equally among several friends. (MP)

Typical instruction of the division algorithm fails to justify why one brings down a number during the process. The construction and use of an aid is described which can be used to help explain the process of division to students. The aid emphasizes place-value aspects. (MP)

A process of teaching fractions is detailed that respects pupil ideas and concept images and builds on these in a way that helps children to develop personal algorithms. This approach is an attempt to get away from perceived one-sided views found in most textbooks. (MP)

Five problems on the generation and study of prime and related numbers are discussed. Solutions to the problems posed will be in next month's presentation. (MP)

Proposes a single underlying structure for the production of a variety of computer index displays, using a networking system which represents both concepts and links by nodes. Desirable characteristics of index displays are outlined, and algorithmic extraction of subnetworks for local use is discussed. References are included. (Author/BK)

A classroom photography activity is outlined that motivates learning of mathematical topics such as estimation, geometry, ratio, measurement, and algorithms. (MP)

The author presents and elaborates on a division algorithm devised by his 9-year-old son. (MK)

Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)

The cognitive method, an algorithmic method for transforming verbal word problems into equations, equation systems, inequalities, etc., is presented and discussed. The psychological and mathematical aspects of the cognitive method are also reviewed. (MP)

The theory of unary and binary operations are discussed and illustrated with examples from school mathematics. Presentations of selected inverse operations are made and attention is drawn to certain "typical" problems that occur during instruction and learning of these concepts. (MP)