A simple proof to some known results on the convergence of linear recursive sequences with nonnegative coefficients is given, using the technique of monotone convergence.

This article started as a debate between the two authors. Both authors present a series of propositions about quality standards in education research. Cook's propositions, as might be expected, not only concern the importance of experimental trials for establishing the security of causal evidence, but also include some important practical and…

In this quasi-experimental study, 142 fifth and sixth grade students at a suburban elementary school in Northwest Washington State participated in a week-long, 10-hour project using the "LEGO Mindstorms Robotics Invention System" (RIS). Partners constructed and programmed one robot from visually-based LEGO instructions and a second of…

The UK educational assessment landscape is changing, characterised by attempts to create more flexible pathways through learning. This has led to attempts to formalise the comparative relationships between different general and vocational qualifications. The National Qualifications Framework (NQF), the Framework for Achievement and the Framework…

The quantity and quality of research and scholarship is a key indicator of the status of knowledge in a given discipline. Through academic publications, researchers disseminate the discipline's findings and accomplishments. For both new and old members in a discipline, being aware of what is being published in the major journals helps them…

Understanding complex systems is fundamental to understanding science. The complexity of such systems makes them very difficult to understand because they are composed of multiple interrelated levels that interact in dynamic ways. The goal of this study was to understand how experts and novices differed in their understanding of two complex…

The present study integrates findings from three lines of research on the association of social cognition and externalizing psychopathology, language and externalizing psychopathology, and social cognition and language functioning using Structural Equation Modeling (SEM). To date these associations have been examined in pairs. A sample of 354…

We discuss the problem of autism-specific special education programs representing themselves as Applied Behavior Analysis (ABA) programs when the only ABA intervention employed is Discrete Trial Teaching (DTT), and often for limited portions of the school day. Although DTT has many advantages to recommend its use, it is not well suited to teach…

In this article, the authors proposed a distillation and matching model (DMM) that describes how evidence-based treatment operations can be conceptualized at a lower order level of analysis than simply by their manuals. Also referred to as the "common elements" approach, this model demonstrates the feasibility of coding and identifying the…

Robert Stevenson identified four behavioural and programmatic regularities that have inhibited the implementation of environmental education as envisioned by the framers of the Belgrade Charter and Tbilisi Declaration. These include the presentation of standardised knowledge associated with established disciplines, reliance on teachers as primary…

This study reports results from an evaluation of the experimental Rio Hondo driving under the influence (DUI) court of Los Angeles County, California. Interviews and official record checks with 284 research participants who were randomly assigned to a DUI court or a traditional criminal court were assessed at baseline and at 24-month follow-up.…

A necessary and sufficient condition is found for a linear recursive sequence to be convergent, no matter what initial values are given. Its limit is also obtained when the sequence is convergent. Methods from various areas of mathematics are used to obtain the results.

This issue of "Bilingualism: Language and Cognition" is about convergence, a type of language change that is contact-induced and results in greater similarity between two languages that are in contact with each other. In Backus (forthcoming), I have attempted an overview of contact-induced language change, focusing on causal factors, on mechanisms…

For at least 40 years, there has been a recurring argument concerning the nature of experimental amnesia, with one side arguing that amnesic treatments interfere with the formation of enduring memories and the other side arguing that these treatments interfere with the expression of memories that were effectively encoded. The argument appears to…

Burn (2005) proposes a "genetic approach" to teaching limits of numerical sequences. The article includes an explanation of the Method of Exhaustion, a generalization of this method, and a description of how this method was used for obtaining areas and lengths in the seventeenth century. The author uses these historical and mathematical analyses…