Part of the report by the Committee on Support of Research in the Mathematical Sciences is presented. It deals with an overview of the mathematical sciences from past to present. (JG)

This article is in two parts: discussion of mathematical concepts involved in converting the reading from the tape-recorder counter which counts the turns of the run-off spool to that from the counter which counts turns of the take-up spool; calculating the length of tape run off when given the reading from the tape-recorder counter of the run-off…

Solution of, and commentary on, a problem suitable for use in the secondary school mathematics classroom. Topics from arithmetic, algebra, and number theory appear in a unified way. (FL)

Presents techniques and materials for instruction at secondary school and upper elementary grades in mathematical concepts of number systems structure. Grouping is used as a simple algebraic system to illustrate structure. Closure, inverse, identity, commutative and associative properties are examines relative to manipulation of geometric figureS.…

Procedures to help algebra students solve problems more efficiently are discussed, using linear programing graphs. (MNS)

Mathematical concepts used in modern algebra are shown to be useful in modeling syndetic structure employed in information retrieval systems. The equivalence relation can represent "see also" components of traditional library catalogs; partial orderings and mappings assist in modeling syndetics in sophisticated systems such as thesauri.…