Discusses Kolers and Smythe's 1984 paper on the computational approach to cognition. Suggests some factors that support the continued emphasis on the analytic approach of the psychological representation of knowledge, but also acknowledges that they have provided a useful set of distinctions and at least one vocabulary for describing them. (SED)

Examines the implications of the following ways of computing forensic contest results: (1) sum-of-the ranks; (2) modified sum-of-the ranks; (3) majority rule; and (4) serial elimination. (PD)

This study of one part of the cognitive system of an illiterate Indian (his method of enumeration, computation, and evaluation) demonstrates the sophisticated conceptualization of which he is capable, independent of a writing system. (Author/CMG)

This paper describes a design research study with ten second-grade students who are part of the Measure Up (MU) research and development project underway at the University of Hawai'i. Students were asked how they counted in multiple bases, specifically how they knew when to go to a new place value and why it was necessary to do so. All ten…

Over the last 20 years, the use of calculators and digital measuring equipment has to some extent replaced mathematical mental/written activity and also the use of analogue measuring equipment. This paper explores some aspects of number concept, reading the number line, and estimation from scales. The students being considered are mainly part of a…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

In the first experiment, observations were made of children ages four-and-a-half to five-and-a-half years of age who were induced to use counting or matching in a Piagetian number conservation task. The spontaneous matching and counting behavior of a more mature but not yet conserving sample was investigated in the second experiment. (RH)

The effectiveness of two techniques to help nine elementary learning disabled students generalize a computation skill was investigated. Results showed that demonstration and modeling plus feedback was sufficient to increase some Ss' ability, but that others require further intervention. (Author/CL)

Doing (addition and multiplication) and undoing (subtraction and division) are illustrated through drawings and sentences. Combinations of operations are also included. (MNS)

The "positive-negative charge" model is described and demonstrated with all four operations on integers. Its major advantages are that it is both concrete and complete. (MNS)

A table is presented that directly converts any known point biserial coefficient to the biserial coefficient, providing the largest proportion of the dichotomous variable is also known. (Author)

A technique for doing long division without the usual estimation difficulty is presented. It uses multiples of 2 combined with a recording technique. (MNS)

Readiness activities are described which are designed to help learning disabled (LD) students learn to perform computations in story problems. Activities proceed from concrete objects to numbers and involve the students in devising story problems. The language experience approach is incorporated with the enactive, iconic, and symbolic levels of…