Approximating the limits of certain convergent series is discussed as a method for students to use in calculating an approximation for pi. (FL)

Facts are given about the ninth-century Arab mathematician Al-Khwarizmi, from whose name the word algorithm is derived. His influence on algebra and arithmetic are discussed. (MNS)

Two hundred and sixty-six kindergarten, first, second, and third graders completed four tasks measuring their understanding of two aspects of number concepts -- ordinality and cardinality. Data suggest that children acquire understanding of ordinality prior to cardinality. (Author/MP)

Six conjectures are established concerning a rectangular solid with the lengths of all its face diagonals and the lengths of all its edges being positive integers. (MP)

Results of this study involving 120 kindergarten and first-grade boys and girls suggest that some understanding of the invariance of number appears to emerge earlier than the ability to pass the standard verbal test. (BH)

This study investigates the use of infinities and limits during the first 12 years of schooling while a secondary study presents ideas and comments on the observations that were made during the primary study. (MVL)

Reviews and analyzes the number-line metaphor in textbooks. Presents examples to show a way to produce an internal critique of mathematical textbooks, a critique that targets the practices in which the notions are involved within the text. Presents the number-line metaphor as the horizon and the tiller of all the enlargements of the notion of…