The introduction of certain topics in the theory of machines and languages into school and college mathematics courses in place of the more usual discussion of groups and formal logic is proposed. Examples of machines and languages and their interconnections suitable for such courses are outlined. (MP)

Points out how figurate numbers (numbers that can be represented by dots on particular geometrical polygonal arrays) can be used to permit upper elementary and secondary students to creatively search for patterns within and among series of figurate numbers. (RH) (RH)

A tool to aid elementary calculus students in the computation of unusual limits is reviewed. (MP)

The use of clocks in instruction in the elementary school classroom is reviewed. The use of nonstandard units of measure and conceptualizing the idea of time duration are two of the areas investigated. (MP)

An enrichment activity that uses student scribbles to teach special geometric concepts is presented. (MP)

The use of saltine crackers to illustrate whole numbers, decimal fractions, common fractions, percents, money, and other mathematical concepts is reviewed. (MP)

Several BASIC computer programs designed to illustrate concepts in probability are presented. The programs are geared for the Apple II computer, but most samples are adaptable to other systems. (MP)

Two responses to a prior report on significant figures and a discussion on outlining conventions for the accuracy of answers are included in this document. A clarification of the supposed error in the original report is noted at the beginning. (MP)

Topological ideas can be used to predict a variety of textures and defects in condensed matter systems under certain conditions. This article describes one means of creating and observing textures in liquid crystals which exhibit a rich variety of such textures. The results of these observations are presented. (Author/SK)

Problems are presented that can be solved with a microcomputer which explore the binary, decimal, and hexadecimal number systems and related problems. (Author/TG)

A teaching sequence for the division algorithm is detailed. (MP)

The influence of televised modeling and modeling plus direct instruction was examined on the induction of complex forms of seriation behavior. The television only and TV plus direct instruction groups made significant gains from pre- to post-test, which were maintained during retention testing. Theoretical and training implications were…

A general discussion of cognitive development as it relates to measurement is presented. Suggested measurement activities are given. (MK)

The importance of being able to read and draw conclusions from condensed numerical data is discussed. Four activities, most appropriate for primary students, are suggested. (MK)