Abstract. This introduction sets the scene for the remainder of the book by considering first the international context of widespread concern about the improvement of numeracy skills. This is related to reform movements in the United Kingdom, the United States and other countries aimed at modernising primary (elementary) school mathematics curricula. A detailed account is given of the National Numeracy Strategy in England, a systemic government-imposed response to concern about standards implemented in 1999/2000. This includes a discussion of the alternative meanings of numeracy. An earlier initiative sponsored by a United Kingdom charitable trust reacting to concern about primary numeracy was the Leverhulme Numeracy Research Programme. This large-scale longitudinal study and linked set of case-study projects, focusing on reasons for low attainment, took place during 1997-2002. This book, and each other in the same series, is based on results of that research. The timescale fortuitously enabled the research team to also report on some effects of the systemic reform in the National Numeracy Strategy. 1. THE INTERNATIONAL CONTEXT In many countries, there are recurring periods of national concern about the low standards of calculation skills shown by children in primary (elementary) schools. Recently, these concerns have become more urgent and more political with the publication of international comparisons of mathematical achievement, first at secondary and more recently at primary level (e. g. Lapointe, Mead, & Askew 1992; Mullis et al. , 1997).
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This book develops a framework for discussing primary school teachers making changes to their understandings and practices. The framework has been developed to allow the complexity of external and internal aspects of change processes to be explored in a holistic way. External factors influencing teachers include increased specification of the curriculum, changing demands for styles of pedagogy and a rhetoric of Lifelong Learning. Such factors have to be looked at in relation to individual teacher's internal responses to mathematics. For many primary school teachers mathematics is a subject that causes concern; its place within their personal biographies may be uncomfortable and replete with memories of confusion, pain and limited success. Professional understandings of mathematics build upon the understandings from personal histories. Discussing teacher change within the interplay of the external and internal is inherently difficult. Responses to this difficulty have tended to take the form of simplifying the task and dealing with the external separately from the internal.
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