A study of conservation of length concepts covering the symmetric, asymmetric, reflexive, nonreflexive, and transitive relations. Their order of development was traced during the course of a 15-lesson sequence of related instruction. (MM)

Describes a method utilizing the library system to introduce children to mechanical and mental arithmetic. (RP)

The article presents experiences of the author that lead him to conclude that instructions of a test item sometimes inhibit mathematical activity. The low-ability student is often unable to translate written instructions into action because he is not familiar with acceptable methods. Student reaction to the term proof" receives greatest…

An approach to how to expand explorations of determinants is detailed that allows evaluation of the fourth order. The method is built from a close examination of the product terms found in the expansions of second- and third-order determinants. Students are provided with an experience in basic mathematical investigation. (MP)

Details of how observers on a moving ship can furnish an accurate report of wind velocity are provided. A method employing vector addition and some trigonometry is covered. Wind velocity is initially indicated through an anemometer and a wind vane. Ships are urged to radio weather data. (MP)

The first presentation discusses a way of teaching second-year algebra students that the harmonic series diverges, and notes some issues in instruction on the concept of limit. A second item describes an approach to a warm-up drill claimed to be painless to construct and self-checking. (MP)

Presented is a computer program written in BASIC that covers round-robin schedules for team matches in competitions. The program was originally created to help teams in a tennis league play one match against every other team. Part of the creation of the program involved use of modulo arithmetic. (MP)

The lesson described first involved tossing a pair of dice and recording on a graph the sum produced on each roll. Pupils examined questions such as which sum occurred most often. The second part involved a graph that indicated which types of sums were most likely to occur. (Author/MP)