Numeracy Works for Life
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Numeracy Works for Life Proceedings of the 16 th International Conference of Adults Learning Mathematics – A Research Forum (ALM) incorporating the LLU+ 7 th National Numeracy Conference Hosted by London South Bank University, London July 6 - 9 2009 Edited by Graham Griffiths and David Kaye Local organising committee Graham Griffiths, David Kaye, Beth Kelly, Ann McDonnell and Ruth Moulton Published by Adults Learning Mathematics (ALM) – A Research Forum and LLU+ at London South Bank University Copyright © 2010 by Adults Learning Mathematics – A Research Forum. Permission to make copies of individual articles, in paper or electronic form, including posting on personal and class web pages, for educational and scientific use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the following copyright notice: Copyright Adults Learning Mathematics – A Research Forum 2010. All rights reserved. ISBN 978-1-872972-11-4 Format – Paperback book ISBN 978-1-872972-12-1 Format – CD-ROM These proceedings include both refereed & non-refereed papers. Authors submitting papers for the conference were able to choose whether or not they wanted to go through the formal, blind, peer-refereeing process. Those papers which went through this refereeing process are marked in the proceedings with an asterisk (*) next to the title. ii Numeracy works for life Table of contents About ALM vi Preface viii Plenary presentations 1 Robin Wilson Communicating mathematics: a historical and personal journey 3 Tine Wedege The problem field of Adults Learning Mathematics 13 Terezinha Nunes Informal mathematical understandings: implications for further education 25 Paper presentations 39 Jackie Ashton and Graham Griffiths The SfLIP side of numeracy: what teachers want (in England) 41 Diana Coben and Meriel Hutton with Carol Hall, David Rowe, Mike Sabin, Keith Weeks and Norman Woolley Towards a benchmark in numeracy for nursing: assessing student nurses’ performance in medication dosage calculation 51 Javier Díez-Palomar and Silvia Molina Roldán Family mathematics education: building dialogic spaces for adults learning mathematics* 56 Maria Cecilia de Castello Branco Fantinato Challenges of the ethnomathematical approach in adult education* 67 Jonathan Fletcher Participation of women in mathematics at the university level* 79 Anestine Hector-Mason and Larry Condelli The Transitioning English Language Learners (TELLs) study: situating TELL in mathematics in the USA 96 Pete Johnson 1 A coding scheme for mathematical knowledge embedded in print media 104 David Kaye Using the history of mathematics in teaching adult numeracy 112 Beth Kelly From the classroom to the workplace and back again: developing an understanding of numeracy teaching* 120 John J. Keogh, Terry Maguire and John O’Donoghue ‘Looking at the workplace through ‘Mathematical Eyes’’ – work in progress* 133 1 Article from the Philadelphia conference mistakenly omitted from ALM-15 proceedings. iii Proceedings ALM-16 Christopher M. Klinger Adult innumeracy and the influence of negative mathematics attitudes, low self-efficacy beliefs, and mathematics anxiety in student primary teachers – an interventionist approach for better practice* 146 Christopher M. Klinger Behaviourism, cognitivism, constructivism, or connectivism? Tackling mathematics anxiety with ‘isms’ for a digital age* 154 Juergen Maasz Bet and lose: learning mathematics or losing money 162 Daniela Matovcikova How adults cope with the conversion to the Euro in the Slovak Republic 169 Ruth Moulton and Jackie Ashton Sharing learners' personal mathematics knowledge 178 Jana Mullen and Jeff Evans Adult numeracy in the context of economic change: the conversion to the Euro in the Slovak Republic* 189 Helen Oughton “We all play teacher”: naturally-occurring student discourse as data in adult numeracy classrooms* 201 Eugénia Pardal and Darlinda Moreira The contribution of ethnomathematics to adults learning mathematics* 217 Katherine Safford-Ramus Professional development for middle school teachers: a growing adult student audience 224 M Mark Schwartz Why can’t we do it this way?* 233 Rachel Stone “I, robot” free will and the role of the maths teacher - who decides how we teach? 246 Martha Whitty Straight from the student’s mouth: ten freshman women reflect on their difficulties with mathematics 254 Keiko Yasukawa Educating activist adult numeracy teachers? 265 Workshop presentations 271 Jeff Evans, Sean Close and Terry Maguire The new international adult numeracy survey: the design of PIAAC 273 Graham Griffiths, David Kaye and Ruth Moulton Aggregate, investigate, and organise: the process of mathematical investigation and teachers of adult numeracy 286 Kees Hoogland Beyond word problems 300 iv Numeracy works for life Louise Marriott, Remy Odoeme and Bob Smith The transition to Functional Mathematics: experience from a secure environment and the way forward 308 Mônica Mesquita and Sal Restivo with Jorge Marques, Trindade Damasio, Margarida Matias, Isaura Matos, Conceição Pires, São José Madeira, Fernanda Marques and Paulo Santos Six adult mathematical workers on Literacy, Matheracy, and Technoracy for Life 310 Michael Rumbelow and Robert Nicolaides BBC raw numbers 316 Zaeed Mohammed and Andre Smith Numeracy market stalls 326 Poster presentations 329 Catherine Byrne Mathematics and environmental education 331 Valerie Seabright A culinary tour with ALM over 16 years 337 Topic groups 339 Katherine Safford-Ramus and David Kaye An adjustment of course: research and practice for a different economic climate 341 Christopher M. Klinger and Graham Griffiths with paper by Christopher M. Klinger and Milton Fuller Mathematics in community service: developing pathways to build mathematical confidence for good citizenship 344 Other contributions to the conference 353 Index of presenters 357 v Proceedings ALM-16 About ALM Adults Learning Mathematics – A Research Forum (ALM) was formally established in July 1994 as an international research forum with the following aim: To promote the learning of mathematics by adults through an international forum, which brings together those engaged and interested in research and development in the field of adult mathematics learning and teaching. Charitable status ALM is a Registered Charity (1079462) and a Company Limited by Guarantee (Company Number 3901346). The company address is 26, Tennyson Road, London NW6 7SA. Objectives of ALM The Charity’s objectives are the advancement of education by the establishment of an international research forum in the lifelong learning of mathematics and numeracy by adults by: • Encouraging research into adults learning mathematics at all levels and disseminating the results of this research for the public benefit; • Promoting and sharing knowledge, awareness and understanding of adults learning mathematics at all levels, to encourage the development of the teaching of mathematics to adults at all levels for the public benefit. ALM Activities ALM members work in a variety of educational settings both as practitioners and in research, improving the learning of mathematics at all levels. The ALM annual conference provides an international network which reflects on practice and research, fosters links between teachers and encourages good practice in curriculum design and delivery using teaching and learning strategies from all over the world. ALM does not foster one particular theoretical framework but encourages discussion on research methods and findings. Board of Trustees and Organising Committee ALM is managed by a Board of Trustees and Organising Committee elected by the members at the Annual General Meeting which is held at the annual international conference. vi Numeracy works for life ALM Officers & Trustees 2009–2010 Chair Dr. Christopher Klinger, University of South Australia Adelaide, Australia Secretary Graham Griffiths, LLU + London South Bank University London, UK Treasurer Beth Kelly, LLU + London South Bank University London, UK Membership Secretary Dr. Joanne Kantner, Joliet Junior College Illinois, USA Trustees Ruth Moulton Freelance London, UK Kees Hoogland APS - National Center for School Improvement, Utrecht, Netherlands Keiko Yasukawa University of Technology, Sydney, Australia Jonathon Fletcher Institute of Education, University of London, London, UK Catherine Byrne Education Unit, Wheatfield Prison, Dublin, Ireland Rachel Stone Freelance, Sheffield, UK Honorary Trustees: Prof. Diana Coben, King's College, London, UK Dr. Gail FitzSimons, Monash University, Melbourne, Australia Dr. Marj Horne, Australian Catholic University, Melbourne, Australia David Kaye, LLU+ London South Bank University, London, UK Lisbeth Lindberg, Göteborg University, Göteborg, Sweden Prof. Dr. Juergen Maasz, University of Linz, Linz, Austria Prof. John O'Donoghue, University of Limerick, Limerick, Ireland Dr. Katherine Safford-Ramus, Saint Peter’s College, Jersey City, NJ, USA Dr. Alison Tomlin, King's College, London, UK Dr. Mieke van Groenestijn, Utrecht University of Professional Education, Utrecht, Netherlands How to become a member Anyone who is interested in joining ALM should contact the membership secretary. Contact details are on the ALM website: www.alm-online.net Membership rates: Sterling Euro U.S. Dollar Individual ₤15 €29 $30 Institution ₤30 €50 $60 Student/unwaged ₤3 €5 $6 Low waged – contribute between full & unwaged vii Proceedings ALM-16 Preface ALM16 The 16th Annual Conference of Adults Learning Mathematics