Supporting students with learning disabilities to explore linear relationships using online learning objects

The study of linear relationships is foundational for mathematics teaching and learning. However, students’ abilities connect different representations of linear relationships have proven to be challenging. In response, a computer-based instructional sequence was designed to support students’ understanding of the connections among representations. In this paper we report on the affordances of this dynamic mode of representation specifically for students with learning disabilities. We outline four results identified by teachers as they implemented the online lessons.

Tree species-area and species-diameter relationships at three lowland rain forest sites in Sumatra

Data from three forest sites in Sumatra (Batang Ule, Pasirmayang and Tebopandak) have been analysed and compared for the effects of sample area cut-off, and tree diameter cut-off. An 'extended inverted exponential model' is shown to be well suited to fitting tree-species-area curves. The model yields species carrying capacities of 680 for Batang Ule, 380 species for Pasirmayang, and 35 for Tebopandak (tree diameter >10cm). It would seem that in terms of species carrying capacity, Tebopandak and Pasirmayang are rather similar, and both less diverse than the hilly Batang Ule site. In terms of conservation policy, this would mean that rather more emphasis should be put on conserving hilly sites on a granite substratum. For Pasirmayang with tree diameter >3cm, the asymptotic species number estimate is 567, considerably higher than the estimate of 387 species for trees with diameter >10cm. It is clear that the diameter cut-off has a major impact on the estimate of the species carrying capacity. A conservative estimate of the total number of tree species in the Pasirmayang region is 632 species! In sampling exercises, the diameter cut-off should not be chosen lightly, and it may be worth adopting field sampling procedures which involve some subsampling of the primary sample area, where the diameter cut-off is set much lower than in the primary plots.

Representing temporal relationships between events and their effects

Temporal relationships between events and their effects are complex. As the effects of a given event, a proposition may change its truth value immediately after the occurrence of the event and remain true until some other events occur, while another proposition may only become true/false from some time after the causal event has occurred. Expressing delayed effects of events has been a problematic question in most existing theories of action and change. This paper presents a new formalism for representing general temporal causal relationships between events and their effects. It allows expressions of both immediate and delayed effects of events, and supports common-sense assertions such as "effects cannot precede their causes".

Woman-centred care

Changes over the past decade have emphasised the individual service user and their relationship with the health service. Within the maternity services this has been interpreted as woman-centred care a result of key initiatives; the Winterton Report (House of Commons, 1992. Maternity Services. Second Report of the Health Committee (Winterton Report), Vol. 1. HMSO, London) and Changing Childbirth (DoH, 1993a, Changing childbirth: reports of the expert maternity group parts 1 & 2. HMSO, London). Changing Childbirth outlined key principles of the maternity services and the need for the woman (and her partner, if she wishes) to be the focus of care. The key principles are choice, continuity and control. High quality care depends on the recognition of individuals as having unique needs which continues to be reflected within contemporary policy documents (DoH, 1997, The new NHS: modern and dependable. HMSO, London). This paper presents findings related to the provision of woman-centred care from a national research and development study. The study design incorporated (i): a national survey which was undertaken with midwives, midwife supervisors and doctors; and (ii): in-depth case studies in which information was obtained through interviews with midwives, midwife supervisors, educators, managers, doctors and mothers. Midwives, at all levels, are involved in changing maternity service provision and adapting to new systems of care which aim to increase continuity of care and carer for the woman. The researchers sought to understand how woman-centred care was interpreted and experienced in practice. The findings have been used to identify the continuing educational needs of midwives, and to develop an open learning educational package to meet identified need. The curriculum was designed to enhance the move towards the provision of a more integrated woman-centred service.

[Book review] Reviews. [1] Nicholas Crane, Mercator: The Man Who Mapped the Planet, London: Weidenfield and Nicolson, 2002. [2] Stephen Inwood: The Man Who Knew Too Much: The Strange and Inventive Life of Robert Hooke (1635-1703), London: Macmillan, 2002

Book reviews of: [1] Nicholas Crane, Mercator: The Man Who Mapped the Planet, London: Weidenfield and Nicolson, 2002, £20, ISBN: 0297646656. [2] Stephen Inwood: The Man Who Knew Too Much: The Strange and Inventive Life of Robert Hooke (1635-1703), London: Macmillan, 2002, £18.99, ISBN: 0333782860.

Self-adaptability and man-in-the-loop: a dilemma in autonomic computing systems

This paper addresses some controversial issues relating to two main questions. Firstly, we discuss 'man-in-the loop' issues in SAACS. Some people advocate this must always be so that man's decisions can override autonomic components. In this case, the system has two subsystems - man and machine. Can we, however, have a fully autonomic machine - with no man in sight; even for short periods of time? What kinds of systems require man to always be in the loop? What is the optimum balance in self-to-human control? How do we determine the optimum? How far can we go in describing self-behaviour? How does a SAACS system handle unexpected behaviour? Secondly, what are the challenges/obstacles in testing SAACS in the context of self/human dilemma? Are there any lesson to be learned from other programmes e.g. Star-wars, aviation and space explorations? What role human factors and behavioural models play whilst in interacting with SAACS?.

A versatile characterization of causal relationships

This paper introduces a framework for representing versatile temporal relationships between events and their effects. The framework is based on a simple time model which characterizes each time element as a subset of the set of real numbers and allows expression of both absolute time values and relative temporal relations. The formalism presented here formally specifies the so-called most general temporal constraint (GTC), which guarantees the common-sense assertion that “the beginning of the effect cannot precede the beginning of the cause”. It is shown that there are in fact 8 possible causal relationships which satisfy GTC, including cases where, on the one hand, effects start simultaneously with, during, immediately after, or some time after their causes, and on the other hand, events end before, simultaneously with, or after their causes. The causal relationships characterized in this paper are versatile enough to subsume those representatives in the literature.

Psychological bonds and their impact on behavioral loyalty in auditor-client relationships

Purpose – The purpose of this paper is to examine the effect of the psychological bond on behavioral loyalty (word-of-mouth, continuance and non-audit services) to audit firms providing services to companies listed on the Polish Stock Exchange. Design/methodology/approach – A model is proposed and tested using structural equation modeling with LISREL. Data were collected from top executives of companies listed on the Warsaw Stock Exchange. Findings – The psychological bond has a positive effect on word-of-mouth, continuance and non-audit services. Research limitations/implications – The current research is limited to the investigation of the psychological bond as an antecedent of behavioral loyalty in Poland. Future research should identify and assess other antecedents and replicate these across different countries. A longitudinal survey across different points in time might reveal more useful information about auditor-client relationships. Practical implications – Auditors need to consider ways in which they can develop the psychological bond with their clients. This bond is the basis for the client believing the audit firm is superior to others, which has been found to lead to behavioral loyalty in this study. In particular, management of the auditor brand and reputation, personal experience of the audit firm and alumni relations are discussed as ways of enhancing the psychological bond among client executives. Originality/value – This study is the first to examine the impact of the psychological bond on behavioral loyalty in auditor-client relationships.