This article seeks to model criminal career length using data from six different birth cohorts born between 1953 and 1978, totaling more than 58,000 males and females from England and Wales. A secondary aim of this article is to consider whether information available at the first court appearance leading to a conviction is associated with the…

As a teacher's aide this author is often asked to help children who have difficulty with mathematics. Recently she was asked to help children from three different grades with their understanding of time. Although each grade had a different activity to undertake, all of the children struggled to grasp time-concepts that adults often take for…

Before the advent of symbolism, i.e. before the end of the 16th Century, algebraic calculations were made using natural language. Through a kind of metaphorical process, a few terms from everyday life (e.g. thing, root) acquired a technical mathematical status and constituted the specialized language of algebra. The introduction of letters and…

This paper presents a new polychoric instrumental variable (PIV) estimator to use in structural equation models (SEMs) with categorical observed variables. The PIV estimator is a generalization of Bollen's (Psychometrika 61:109-121, 1996) 2SLS/IV estimator for continuous variables to categorical endogenous variables. We derive the PIV estimator…

In this paper I present a class of discrete choice models for ordinal response variables based on a generalization of the stereotype model. The stereotype model can be derived and generalized as a random utility model for ordered alternatives. Random utility models can be specified to account for heteroscedastic and correlated utilities. In the…

The different methods used for computing labile metal-ligand complexes, which are suitable for an iterative computer solution, are illustrated. The ligand function has allowed students to relegate otherwise tedious iterations to a computer, while retaining complete control over what is calculated.

Support of the need for more emphasis on mental arithmetic in the classroom is given. Classroom methods and activities for developing skill in mental arithmetic are included. (MN)

The present study compared the relative effects of 2 educational programs on kindergarten children. The experimental group took part in a numeracy-specific program, which focused on conceptual knowledge. Children were taught basic numerical skills such as understanding and handling numbers and their relations as well as counting principles. The…

Some probabilistic illustrations of the reliability coefficient are provided to assist in interpretation of this measure. All explanations are derived under the assumption that the joint distribution of examinee scores from two parallel tests is well approximated by a bivariate normal distribution.

The relationship between automatization ability (the tendency for repetitive routine aspects of behavior to become so overlearned that a minimum of conscious effort and attention is necessary for rapid efficient execution), as measured by the Rapid Automatic Naming (RAN) Test, and proficiency in arithmetic basic fact computation was investigated…

Described is the use by blind persons of the Cranmer abacus, a computational device adapted from the Japanese abacus. Noted is the lack of carefully controlled research on its use. A comparison of calculation by abacus and by paper and pencil is said to indicate that the use of such mechanical devices does not give the blind competitor an undue…

A concise method for computing areas under the normal curve using only functions typically found on desk and hand calculators is given. One version of this method will give three-decimal-pace accuracy, and a second, simpler version gives accuracy to two places. (Author/JKS)

This unit provides some activities designed to familiarize the reader with the TI-59 and instructions on creating a library of programs on magnetic cards. (MP)

Investigated whether and how children age 5 to 7 employed counting to measure and integrate the duration of two events, which were accompanied by metronome beats for half the children. The rhythm enhanced use of counting in younger children. By age 7, most counted spontaneously, using sensible counting strategies. (SKC)