Proficiency in the explanation of procedures: A test of the intuitive understanding of teachers of undergraduate mathematics

A discussion of production system approaches to the representation of learned procedures, and of stage models of the acquisition of procedures, yielded four general principles applicable to the construction of effective explanations. The intuitive appreciation of these principles by tertiary teachers was tested in two studies. In the first, separate verisons of an explanation of a standard undergraduate mathematics problem solution procedure were prepared, these versions differing in the extent to which they exemplified the derived principles. Subjects ranked the explanations in terms of their perceived effectiveness. In the second study, subjects of varying experience at teaching tertiary level mathematics were video recorded while they individually explained three standard undergraduate problems. Their explanations were scored for the extent to which some awareness of the general principles was evidenced. In general terms the findings from these two studies suggested that mathematics teachers might be well able to discriminate between explanations which differ in their compliance with the derived general principles, but that they were not well skilled at employing these principles in explanations which they generated themselves.     

Appetitive-aversion interactions: Facilitation of aversive conditioning by prior appetitive training in the rat

In Experiment 1, four groups of rats received conditioned suppression training in which a tone was reinforced with shock. If the tone had been previously paired with response-independent food, aversive conditioning was slightly facilitated by comparison to control groups preexposed either to the tone randomly associated with food or to the tone and food unpaired. However, by comparison to a control which was not preexposed to the tone, animals receiving prior pairings of the tone and food showed retarded aversive conditioning. Experiment 2 replicated the facilitation in aversive conditioning after the tone had been paired with food relative to the random control condition and demonstrated that this difference occurred even if the tone and background stimuli continued to be associated with response-independent food during aversive conditioning. This result suggests that pairing a stimulus with an appetitive reinforcer reduces the retardation of aversive conditioning produced by stimulus preexposure.     

Raising levels of school student engagement and retention in rural,regional and disadvantaged areas: is it a lost cause?

This paper reports on the views of key members of the educational community about student engagement and retention in rural, regional and disadvantaged areas of the Australian state of Tasmania. It provides insights into the attributed reasons for the longstanding low levels of student retention in Tasmania, and the possible ways to militate against the widely censured problem of students leaving school too soon. The paper draws from principles of Bronfenbrenner’s model of ecology to situate the 25 participants who formed the sample of the study in the exosystem of the environment of the young people whose educational attainment and retention in schools is the focus of this work. Data analysis generated three major themes: families and the socio-cultural environment; teachers and teaching; and the school system. The study’s findings play an important role in prompting us to question when, and if, the dire situation of student dropout in the state and in similar contexts worldwide will begin to be reversed. Implications of the work include the need to develop and sustain a strong policy environment in which high-quality education and schooling success are contextualised as key features to which members across the systems and sections of society can contribute.     

Induced charge electro-osmotic concentration gradient generator

Biomolecule gradients play an important role in the understanding of various biological processes. Typically, biological cells are exposed to linear and nonlinear concentration gradients and their response is studied for understanding cell growth, cell migration, and cell differentiation mechanisms. Recent studies have demonstrated the use of microfluidic devices for precise and stable concentration gradient generation. However, most of the reported devices are geometrically complex and lack dynamic controllability. In this work, a novel microfluidic gradient generator is presented which utilizes the induced charge electro-osmosis (ICEO) by introducing conducting obstacle in the microchannel. With the ICEO flow component, significant transverse convection can be generated within the microchannel, which can, in turn, be used to create nonlinear as well as asymmetric gradients. The characteristics of the developed concentration gradient are dependent on the interplay between fixed charge electro-osmotic and ICEO flows. It is shown that the proposed device can switch between linear and nonlinear gradients by just altering the applied electric field. Finally, the formation of user-defined concentration profiles (linear, convex, and concave) is demonstrated by varying the conducting obstacle size.     

Secondary School Prospectuses and Educational Markets

This study examines the 1996 prospectuses of 59 of the 100 secondary schools whose 1991 prospectuses were reviewed in a previous paper (Knight, 1992). The intention is to consider the ways in which schools present themselves in the educational market‐place. It is shown that they take the business of marketing through prospectuses seriously, evidence being the more professional appearance that these brochures now have. While other changes are also noticed, the argument is that prospectuses tend to depict schools of all types in similar ways. An explanation for this is offered, drawing upon marketing and on game theories. On this analysis, beliefs that changes in educational policy will lead to increasing differentiation of provision is, at least in terms of image‐making, exaggerated. More striking than the evidence of diversity is the evidence that schools are busily managing their images in much the same ways.     

Conceptualising School Change

Schools and school systems in many countries face considerable pressures for change, partly from government directives but at least as significantly from a changing social context. This paper is an attempt to strengthen understanding of strategies for and constraints on school change based on a review of some of the theoretical literature in education and more generally. Our hope is that such a review will provide a realistic sense, neither wildly optimistic nor darkly pessimistic, of the possibilities for schooling in a period of important social change.     

Increasing the Career Decision-Making Self-Efficacy of Nontraditional College Students

Nontraditional college students (29 women and 37 men) participated in a career counseling workshop based on Bandura's (1977) self-efficacy theory. Participants were randomly assigned to either an experimental treatment group or a delayed-treatment control group. Results suggested that participation in the workshop had a significant, positive effect on the career decision-making self-efficacy of the participants (p < .05) across levels of age, sex, year in college, and family income. Results provide support for career self-efficacy theory and indicate that the career decision-making self-efficacy of nontraditional college students is amenable to change through counseling interventions.     

Technology,knowing and learning

Fluidity in the transfer of knowledge is rightly touted, because the pace of work rewards businesses that know what they know – and know it right away. Companies are, therefore, understandably eager to exploit technology in new knowledge management systems. Business leaders should recognize, however, that new technology never grants its bounty freely: it exacts a cost when it amplifies our abilities. Increasingly, the tools of the Information Age are encouraging us to learn just enough, just in time. Such shallow learning may have unfortunate consequences for business.     

Population Invariance and the Equatability of Tests: Basic Theory and The Linear Case

How does the fact that two tests should not be equated manifest itself? This paper addresses this question through the study of the degree to which equating functions fail to exhibit population invariance across subpopulations. Equating fimctions are supposed to be population invariant by definition. But, when two tests are not equatable, it is possible that the linking functions, used to connect the scores of one to the scores of the other, are not invariant across different populations of examinees. While no acceptable equating function is ever completely population invariant, in the situations where equating is usually performed we believe that the dependence of the equating function on the population used to compute it is usually small enough to be ignored. We introduce two root‐mean‐square difference measures of the degree to which the functions used to link two tests computed on different subpopulations differ from the linking function computed for the whole population. We also introduce the system of “parallel‐linear” linking functions for multiple subpopulations and show that, for this system, our measure of population invariance can be computed easily from the standardized mean differences between the scores of the subpopulations on the two tests. For the parallel‐linear case, we develop a correlation‐based upper bound on our measure that holds for all systems of subpopulations. We illustrate these ideas using data from the SAT I and from a concordance study of several combinations of ACT and SAT I scores, In the appendices, we give some theoretical results bearing on the other equating “requirements” of “same construct,”“same reliability” and one aspect of Lord's concept of equity.