An analysis of the conceptual development of children between the ages of five and six. The interrelationship of such concepts a big, long, small, and short is discussed. (JLH)

Children learned two linear function rules under varying conditions: presence vs. absence of pointing; visual cues (context vs. weight vs. both pictured); and a verbal-only baseline condition. A complex rule was learned as a transfer task. Visual cues aided both learning and transfer; pointing helped initial learning, but retarded transfer.…

The author emphasizes the importance of concepts and mathematical form in a discussion of understanding mathematics. (MN)

The aim of this article is to identify the natural relationships that exist between using computer programming in BASIC, and some particular mathematical concepts. Specific examples are given for use by the mathematics teacher who has the necessary facilities available. (MN)

Results of the 1974 mathematics section of the London board's Ordinary level examination are presented in the context of item-correctness differences between boys and girls. Implications are made that insecurity with concepts such as fractions and proportionality may explain why girls seem to have trouble with quantification and spatial…

Children aged four through eight performed a series of tasks involving two-dimensional isometrics to determine the amount of compatability between a mathematically-based organization of Euclidean transformation concepts and the existing cognitive structures of the children. Results confirmed that mathematical and cognitive structures are not…

The author proposes that computer programs which are designed to make algorithmic structures accessible and comprehensible be employed as advance organizers in mathematics instruction. These programs would bring clarity and structural integration to mathematical, instructional, and cognitive structures important to the mastery of mathematical…

The author argues that undergraduates, and especially those not planning to pursue mathematics, are not ready for a definitional approach to mathematics. He interprets data on student attribution of five terms (theorem, law, fact about numbers, definition, axiom) to definitions in support of his argument. (SD)

Reports that many creative leading mathematicians have introduced the concept of baby research, signifying a playful investigation that takes place at a childs' initiative and is carried out with freedom without specific knowledge or pre-conceived ideas of where it leads. (Author/AM)

Discusses the relationship between geometrical and numerical concepts in the mathematical development of young children. Based upon a longitudinal field study of 224 children, findings suggest that memorization ability facilitates understanding of numerical concepts but that subsequent mathematical development is restricted until basic geometry is…

The relation between mathematical and computational aspects of recursion are discussed and some examples analyzed. Definition, proof, and construction are considered, as well as their counterparts in computer languages (illustrated with Logo procedures). (MNS)

The game of Chomp is described; it provides an opportunity to build a mathematical system. Definitions, theorems, and proofs are included. (MNS)

Included are brief articles on a laboratory approach for teaching basic geometry, having students give examples, and trigonometry and design. (MNS)

Four activities with fractions are given, concerning recognizing halves, making equal sized pieces, completing the whole, and making congruent parts. Worksheets as well as teaching suggestions are included. (MNS)

Presents a list of Apple software that helps students develop specific skills through supplemental learning at home. Software, including program, manufacturer, grade level(s), and price, is provided for: writing; spelling; grammar; vocabulary; reading comprehension; computational mathematics; and mathematics concepts/applications. Also provides…