Latent-class item response models with small numbers of latent classes are quite competitive in terms of model fit to corresponding item-response models, at least for one- and two-parameter logistic (1PL and 2PL) models. Provided that care is taken in terms of computational procedures and in terms of use of only limited numbers of latent classes,…

The purpose of this paper is to describe the development of children's measurement concepts and to outline implications of recent research on transitivity and counting. Discussion is confined to measurement of length and focuses on aspects of measurement outlined in the last two of Piaget's three measurement stages. It is argued that measurement…

A developmental mathematics program at Hill Top Preparatory School in Rosemont, Pennsylvania is designed to help learning disabled students prepare for jobs and college work. Intended for non-college bound as well as for the college bound, the program emphasizes aspects of environment (appropriate placement, self pacing, small groups), process…

The use of computational diagrams and nomographs for the calculations that frequently occur in college administration is examined. Steps in constructing a nomograph and a four-dimensional computational diagram are detailed, and uses of three- and four-dimensional diagrams are covered. Diagrams and nomographs are useful in the following cases: (1)…

The use of programmable calculators for the simulation of experiments is discussed and five examples of specific applications are provided. (DT)

The study involving 183 learning disabled and 852 nondisabled children (grades 3 through 6), investigated students' performance on arithmetic basic fact problems in addition, subtraction, and multiplication. Three separate group administered tests were devised, covering 98 basic addition, 98 subtraction, and 98 multiplication facts. Children were…

An approach to teaching mildly retarded children math skills using finger calculation is discussed. Drills progress from using one to two hands and doing multiplication and division. The appropriateness of finger calculation with children in the sensory motor and preoperational stages of development is noted, and the approach's ability to enhance…

The first step of an energy conservation program is to monitor energy consumption. A system is explained that, in order to determine which buildings are energy efficient (considering all types of energy that a building might use), monitors total energy consumption. All such consumptions can be reduced to a common denominator: Barrels of Energy…

An explicit model of the process of quantification which involves the operations of subitizing and counting is described. The general model states that quantification of n items takes place via subitizing when n is less than five and via subitizing and addition (that is, counting) when n is five or larger. The explicit model is stated in the form…

Binomial coefficients are used to prove two conjectures concerning the partitioning of an N-dimensional space. (MP)

Three calculation methods were compared in solving problems involving frequency distributions, manual, basic calculator, and advanced calculator. Calculators were more efficient but there was no difference in calculator type. (MP)

The cognitive and psychomotor processes involved in working with the modern Japanese version of the abacus were investigated by distracting expert abacus operators in various ways. (Author/MV)

Two experiments (N=36) using a new, objective methodology for measuring relative image generation time demonstrate that images of three-dimensional objects evolve a part at a time. It also appears that the images are generated in a near-to-far sequence. Results are discussed in terms of computational and ecological considerations. (TJH)

Six easy-to-learn strategies are offered to help students with learning problems in mathematics make error-free subtraction calculations when either the subtrahend or remainder is a 9, 8, or 7 and when the minuend is in the teens. (CB)

The study compared the improvement in computational skills of two similar groups of accounting students, one using calculators in examinations and the other not. Not using calculators seems to improve the arithmetical ability of students, but does not significantly improve students' feel for numbers or ability to solve word problems. (CH)