What's wrong? Understanding beginners' problems with Prolog

This paper reviews psychological research on programming and applies it to the problems of learning and teaching Prolog. We present a psychological model that explains how a certain class of errors in programs comes about. The model fits quite well with the results of a small sample of students and problems. The problems that underlie these and other errors seem to be (a) the complexity of the Prolog primitives (unification and backtracking) and (b) the misfit between students' naive solutions to a problem and the constructs that are available in Prolog (e.g. iterative solutions do not map easily to recursive programs). This suggests that learning Prolog could be helped by (1) coherent and detailed instruction about how Prolog works, (2) emphasis on finding recursive solutions that do not rely on primitives such as assignment and (3) instruction in programming techniques that allow students to implement procedural solutions.     

A theoretical note on concepts and the need for Cyclic Concept Maps

This article examines concepts and propositions from a theoretical perspective, and establishes the need for and develops an extension to Concept Maps (CMaps), called Cyclic Concept Maps (Cyclic CMaps). Cyclic CMaps are considered to be an appropriate tool for representing knowledge of functional or dynamical relationships between concepts. CMaps, on the other hand, are viewed as an appropriate tool for representing hierarchic or static knowledge. The two maps complement each other and collectively capture a larger domain of knowledge, thus forming a more effective knowledge representation tool. © 2005 Wiley Periodicals, Inc. J Res Sci Teach 42: 741–766, 2005     

Language proficiency and lateral position in the classroom

This paper not only makes a contribution to the mosaic of scientific knowledge of the brain and nervous system, but suggests implications of practical value. Observant, experienced teachers know empirically that some youngsters learn best, and perhaps only, when seated front-center, right before the teacher’s desk. Such children need to have the eye contact, or to be in quick arm’s reach, or to have distractions screened out. Drs. Bakker and Van Rijnsoever give evidence here that, for many children, taking in and remembering the message is dependent on their physical placement to catch most effectively the stream of sound. This is important to consider in the popular open classroom. Although many children can adapt readily to less-than-perfect physical learning conditions, for some we must “re-invent the wall,” not to climb, but to provide a place to call “home.” The theoretical re-inforcement presented in this paper proves that such boundaries can also provide source and direction for sound as part of some children’s currently needed sensory security and enhance the efficiency of their auditory intake. Editor     

Education on population matters in Europe: results from a comparative survey among students in five European countries

In 1996–1997, within the framework of the European Observatory for Population Education and Information, a comparative survey was conducted among students in final classes of secondary education in several European countries. On the one hand, the survey attempted to assess the effects of education on population in terms of knowledge acquired; the issues addressed in the questionnaire pertained to knowledge of demographic facts and trends (such as the ageing of Western societies and immigration). On the other hand it tried to ascertain students' opinions on demographic trends. What are young people's views on intergenerational solidarity, how tolerant are they towards immigrants, what are their views on recent changes in family structures? This knowledge is important since it is young people's attitudes and future behaviour that will help to shape both the social tissue and the economic prosperity of the European and world population. In this article we present a comparative analysis of survey results obtained in five European countries. We examined the question whether knowledge acquired in the course of scolarisation influences opinions. The results evidence a significant relationship between knowledge of the migrants' issue and attitudes of tolerance towards migrants. By means of multivariate analyses, the impact of factors such as social origin, study orientation and gender on both students' knowledge and attitudes, are investigated. We conclude that adequate educational training on population issues can have a significant positive impact on attitudes of tolerance.     

Behavioral and Electrophysiological Evidence for Gestational Age Effects in Healthy Preterm and Fullterm Infants Studied Two Weeks after Expected Due Date

We investigated the effects of gestational age at birth on behavioral and electrophysiological measures of 135 medically healthy infants, studied at 42 weeks postconception, and stratified into 3 groups--early-born preterms, 26-32 weeks (n = 55); middle-group preterms, 33-37 weeks (n = 43); and fullterms, 38-41 weeks (n = 37). Subjects were studied behaviorally with the Assessment of Preterm Infants' Behavior (APIB) and electrophysiologically with brain electrical activity mapping (BEAM). Fullterms showed significantly better behavioral function than both preterm groups. Less difference was found between the preterm groups. EEG spectral and photic evoked response were of significantly less amplitude for the preterms than the fullterms. Path analysis showed gestational age effects on behavioral (3 of 6) and electrophysiological (13 of 17) variables due to postnatal complications. We conclude that some differences attributable to gestational age at birth are explained by the cumulative effect of minor but unavoidable complications associated with premature birth. We speculate that remaining effects may result from developmentally inappropriate sensorimotor stimulation consequent to the premature experience of an extrauterine environment.     

Correspondence Training as a Means of Improving Study Skills

This study was an attempt to encourage middle school pupils to use time spent on topic (project) work to better effect. They were taught some elements of correspondence training which required them to think ahead, to plan carefully what they were going to do in a certain time period and to make a forecast. At the end of each working session, they were required to look back at what they had achieved and to discuss the outcomes with a partner in terms of their success at forecasting and in achievement. Especially among the more able pupils, there were marked improvements in both quantity and quality of work produced     

Does teachers’ pedagogical content knowledge affect their fluency instruction?

The relation is studied between teachers’ pedagogical content knowledge of reading and the quality of their subsequent classroom behaviour in teaching fluent reading. A confirmatory factor analysis model with two latent variables is tested and shows adequate goodness-of-fit indices. Contrary to our expectations, the results of structural equation modelling reveal a small but significant γ-value of .29, indicating that only 8% of the variance in teachers’ classroom behaviour in teaching fluent reading is accounted for by teachers’ pedagogical content knowledge of reading. Presumably teacher knowledge is not as stable and conclusive as one might think. More research is needed in determining the factors that work restricting for teachers in putting their knowledge into classroom practice. It is recommended that preservice and in-service teacher training should not be limited to transfer of knowledge, but should also assist teachers in designing and performing effective fluent reading instruction.     

Domain Coloring and the Argument Principle

Abstract

The domain-coloring algorithm allows us to visualize complex-valued functions on the plane in a single image—an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the Argument Principle, which relates the count of poles and zeros of a meromorphic function inside a contour to the accumulated change in argument of the function around the contour. Throughout, I offer connections to standard learning goals of courses in complex variables.