Instruction on properties of whole numbers, the meanings of operations on whole numbers, symbolic representation and algorithms for completing these operations is discussed. Many activities appropriate to each of these topics, and suitable for primary school children, are presented. (SD)

A series of activities designed to help primary school children understand the meaning of the term "fraction," the symbolization, and equivalence of fractions are presented. Identification of units and pictorial representation are stressed, as is the uses of concrete materials. (SD)

Explorations involving the use of mini electronic calculators in connection with mathematics instruction were conducted with two fifth-grade classes, two second-grade classes, and one third-grade class. Explorations are being continued with third-grade classes (last year's second grade classes). Selected activities and related materials are…

This workbook for elementary teachers presents basic definitions and examples in the areas of set theory, numeration systems, fundamental operations and geometry. Text organization does not use programming frames. Answers to examples are included in a separate section. (DT)

Algorithms for the four basic operations on whole numbers are described; these algorithms provide for sequential recording of all steps in the operations. (SD)

In response to an earlier article advocating the elimination of fractions from the curriculum, the author argues for their retention. He points out examples of their use in music and physic, and discusses methods of presenting operations on fractions. (SD)

Several topics concerning numeration systems that are appropriate for small group projects are suggested. (DT)

Presented are several methods of introducing nondecimal numeration systems to elementary grade students. Various activities for grouping and/or visual displays are used. Games which incorporate nondecimal grouping ideas are also presented. (JP)

Beginning with peg manipulation the author sets up a different multiplication system and set of primes. (JM)

Evidence gathered in a study of 106 students in a course in elementary school mathematics methods shows that work with a nondecimal numeration system involving entirely new number symbols and names can lead to heightened awareness and appreciation of difficulties that children might have in understanding base ten numeration. (Author/CM)

Described is a study designed to extend a theoretical model of children's progression from a perceptual to an abstract concept of number. The implications of this research for the design of mathematics curricula are discussed. (CW)

Discusses a counting system and number operations. Suggests six distinct areas in a "number" subject: one-to-one correspondences; simple counting process; complicated counting process; addition and multiplication; algorithms for the operations; and the decimal system. (YP)

The question is raised: What comes first: rules of calculation or the meaning of concepts? The pressures on the teacher to teach and simplify knowledge to algorithms are discussed. The relation between conceptual and procedural knowledge in school mathematics and consequences for the teacher's professional knowledge are considered. (DC)

A model for multiplication is described and used to discuss the properties of division. (SD)