Discusses the development of early attitudes to mathematics and how these may account for the differences in the numbers of boys and girls achieving success with mathematics in the secondary school and electing to study mathematics at the senior level. (YP)

Presents an example using a computer to illustrate concepts graphically in an introductory course on differential equations. Discusses the algorithms of the computer program displaying the solutions to an equation and the inclination field of the equation. (YP)

Discusses a television program, "Mathematical Eye," for children aged 11-13. Describes sample programs, style, and supplemental materials, such as a teacher's note, investigations pack, book, and software. Lists the titles of 10 programs. (YP)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Through seriation, verbal seriation, and conservation tasks, investigated blind, partially sighted, and sighted children's understanding of quantity. Subjects were 81 children equally dispersed through these 3 groups. Age range was 4 to 17 years. Found similarity in concept acquisition among three groups that extended beyond quantity conservation…

Presents guidelines for designing and using extensions, which are exercises that follow or extend the basic presentation of an idea, in the mathematics area of the Montessori program to give children more experience and depth as they explore key mathematical concepts. Describes extensions that address counting, sorting, and working with decimals.…

Discusses research findings related to students' ability to make connections between analytical (symbolic) and graphical representations of functions in calculus. Describes graphing tasks and typical student interpretations. Implications for teaching are suggested. (Contains 17 references.) (MKR)

Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)

In an attempt to bridge the perceived distinction between internalized conceptions of mathematics and their external representations, this discussion treats mathematics both as an individual, constructive activity and as a communal, social practice. It is argued that this approach might transcend the tripartite scheme of teacher, student, and…

P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

Presents an activity that uses M & M's candy to initiate discussion about the mathematical concepts of empty set, zero, more than, less than, most least, and equivalent sets. Suggests extensions that could follow this activity. (MDH)

Presents the hierarchical structure of quadrilaterals as an illustration of learning a geometric concept by moving from the levels of visualization and analysis to the level of formal deduction. The development discusses the classification of quadrilaterals, the inheritance of properties within the hierarchy, connections between algebra and…

Using case studies that are functionalist in orientation and computational in technique, the role of control knowledge in developing constructive thinking is illustrated. Further, the integration of related knowledge structures, emanating from diverse sensory modes and pertaining to both place value in addition and angle relationships in geometry,…

This article traces the history of zero and its dual role as a placeholder, albeit of empty space, and as a number for computational purposes. The use of one symbol for both situations is shown to be tied to the adoption, and subsequent promulgation, of our modern numbering system. (JJK)

Presents the origin and mathematics of Hubble's Law of the expanding universe. Discusses limitations to this law and the related concepts of standard candles, elliptical galaxies, and streaming motions, which are conspicuous deviations from the law. The third of three models proposed as explanations for streaming motions is designated: The Great…