Digitisation, representation, and formalisation - Digital libraries of mathematics

One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.

A framework for revitalisation of rural education and training systems in sub-Saharan Africa: Strengthening the human resource base for food security and sustainable livelihoods

Recent studies of the current state of rural education and training (RET) systems in sub-Saharan Africa have assessed their ability to provide for the learning needs essential for more knowledgeable and productive small-scale rural households. These are most necessary if the endemic causes of rural poverty (poor nutrition, lack of sustainable livelihoods, etc.) are to be overcome. A brief historical background and analysis of the major current constraints to improvement in the sector are discussed. Paramount among those factors leading to its present 'malaise' is the lack of a whole-systems perspective and the absence of any coherent policy framework in most countries. There is evidence of some recent innovations, both in the public sector and through the work of non-governmental organisations (NGOs), civil society organisations (CSOs) and other private bodies. These provide hope of a new sense of direction that could lead towards meaningful 'revitalisation' of the sector. A suggested framework offers 10 key steps which, it is argued, could largely be achieved with modest internal resources and very little external support, provided that the necessary leadership and managerial capacities are in place. (C) 2006 Elsevier Ltd. All rights reserved.

A new theory of educational change - punctuated equilibrium: the case of the internationalisation of Higher Education institutions

This article argues for a new theoretical paradigm for the analysis of change in educational institutions that is able to deal with such issues as readiness for change, transformational change and the failure of change strategies. Punctuated equilibrium (Tushman and Romanelli, 1985) is a theory which has wide application. It envisages long-term change as being made up of a succession of long periods of relative stability interspersed by brief periods of rapid profound change. In the periods of stability only relatively small incremental changes are possible. The periods of transformational change may be triggered by external or internal influences. A recent study of the long-term process of internationalisation in higher education institutions shows evidence to support the theory: long periods of incremental change, events precipitating profound change and the failure of externally imposed attempts to change. Also, as the theory predicts, changes in collegial organisations are slower and more uncertain than changes in managed organisations.

An experimental comparison between rival theories of rapid automatized naming performance and its relationship to reading

Two studies investigated the degree to which the relationship between rapid automatized naming (RAN) performance and reading development is driven by shared phonological processes. Study 1 assessed RAN, phonological awareness, and reading performance in 1010 7- to -10 year-olds. Results showed that RAN deficits occurred in the absence of phonological awareness deficits. These were accompanied by modest reading delays. In structural equation modeling, solutions where RAN was subsumed within a phonological processing factor did not provide a good fit to the data, suggesting that processes outside phonology may drive RAN performance and its association with reading. Study 2 investigated Kail’s proposal that speed of processing underlies this relationship. Children with single RAN deficits showed slower speed of processing than did closely matched controls performing normally on RAN. However, regression analysis revealed that RAN made a unique contribution to reading even after accounting for processing speed. Theoretical implications are discussed.