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    Teaching and Learning

    Primary Numeracy:

    Policy, Practice and

    Effectiveness

    A review of British research for the

    British Educational Research Association

    in conjunction with the

    British Society for Research in the

    Learning of Mathematics

    Editors: Mike Askew and Margaret Brown

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    CONTENTS

    Editors introduction Mike Askew & Margaret Brown 3

    Numeracy policy Margaret Brown 6

    The development of numeracy concepts Terezhina Nunes 10

    Mental and written calculation methods

    for addition and subtraction Ian Thompson 15

    Mental and written calculation methods

    for multiplication and division Julia Anghileri 22

    Developing numeracy with technology Ken Ruthven 28

    Teaching and learning numeracy

    in the early years Penny Munn 33

    School numeracy in relation to home cultures Guida de Abreu 38

    Pedagogy Mike Askew 44

    Initial and continuing professional

    development of teachers Tony Brown & Olwen McNamara 50

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    EDITORS INTRODUCTION

    Mike Askew & Margaret Brown

    This monograph is one in a series, each following a national seminar held as part of the BERA National

    Events Initiative. This initiative was launched by the BERA President, Professor Pam Lomax at the

    BERA Annual Conference at Queens University Belfast in August 1998, with the aim of reviewing

    findings from areas of British Educational Research which have significant implications for educational

    policy and practice.

    It was suggested that Numeracy would constitute a topic of particular relevance since the National

    Numeracy Strategy was due to be introduced in all English primary schools in the year from September

    1999 to August 2000. Related initiatives are also happening in other parts of the UK, in particular all are

    involved in Mathematics Year 2000, which is in turn part of a UNESCO world-wide initiative.

    The BERA National Event relating to Numeracy

    This took place on Saturday February 26th, 2000 at the School of Education at the University of Exeter.

    Although there is no BERA Special Interest Group (SIG) in mathematics education, a similar function is

    fulfilled by the British Society for Research in the Learning of mathematics (BSRLM) which is formally

    associated with BERA. BSRLM has been in existence for nearly 20 years and now works closely with

    BERA, for example by sponsoring symposia at the BERA Annual Conference. It was decided to organise

    the BERA National Event as an integral part of a BSRLM Day Conference; this would ensure a good

    attendance of key researchers in the field and streamline publicity. Also by fitting it into an already

    planned conference we were able to arrange it earlier than would otherwise have been possible, and close

    to the launch of the National Numeracy Strategy in September 1999.

    As organisers of the BERA event, and as a basis for this resulting research review to be published by

    BERA, we tried to identify some key aspects of research relating to numeracy which each had clear

    implications for policy and practice. We then approached an expert in each area to provide a brief (