Mathematical Eyes: A Bridge between Adults, the World and Mathematics th Proceedings of the18 International Conference of Adults Learning Mathematics - A Research Forum (ALM) Hosted by: The Institute of Technology Tallaght, Dublin, Ireland. Tallaght, June, 2011 Edited by: Theresa Maguire, John J. Keogh and John O’Donoghue Published by: Adults Learning Mathematics (ALM) – A Research Forum. Editorial Team: Theresa Maguire, John J. Keogh and John O’Donoghue. Copyright (C) 2012 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 2012. All rights reserved. ISBN 978-0-9551218-1-4 Format – Paperback book A soft copy of these proceedings is available from the ALM website at http://www.it-tallaght.ie/events/alm18conference/index.html A series of images of the conference and the recorded presentations of the plenary speakers are also available on the same website. These proceedings include both refereed and non-refereed papers. People writing papers for the conference were able to choose whether or not they wanted to go through the conference review process. All papers recommended as part of this process are marked with an asterisk (*) next to the title in the table of contents. ii Table of Contents Page About ALM vii Preface x Acknowledgements xv Section 1 Plenary presentations (Plenary video is available at http:\\www.it-tallaght.ie\events\alm18conference\index.html) Lars Gustafsson, National Center for Mathematics Education (NCM) Adults mathematical literacy - starting a Grundtvig Multilateral Network 1 Kees Hoogland , APS – National Center for School Improvement Images of Numeracy 2 C.D.Hussey, University of Limerick Eeny – Meeny – Miny – Mo: Count and be Counted! 15 Bill Lynch, NCCA – Project Maths Co-ordinator Project Maths 24 Ciarán O’Sullivan, Institute of Technology Tallaght, Dublin But what use is this 'maths stuff' in the real world? - One practitioners' quest to provide answers 25 Section 2 – Paper Presentations Sonja Beeli-Zimmermann and Armin Hollenstein Financial literacy of microcredit clients – Results of a qualitative exploratory study and its implications for educational schemes 26 Beth Kelly Learning in the workplace, functional mathematics and issues of transferability 37 Catherine Byrne, Theresa Maguire, John O’Donoghue Mathematics Behind Bars 47 Diana Coben and Barbara Miller-Reilly An International Comparative Study of Adult Numeracy in New Zealand and the UK – what can we learn from surveys? * 61 Javier Díez-Palomar Being competent in mathematics: adult numeracy and common sense * 90 iii Javier Díez-Palomar, Clive Kanes, Margarida César, Maria Lo Cicero, Benedetto Di Paola Family Math for Adult Learners * 103 Jeff Evans Adult Students' Response to Images of Mathematics in Advertising * 118 Sílvia Franco Ethnomathematics: An Intercultural Dialogue * 129 Eileen Goold and Frank Devitt The role of mathematics in engineering practice and in the formation of engineers * 134 Graham Griffiths Turn and face the strain ‐ towards a model for analysing the changing mathematical needs of the workplace * 155 Jackie Ashton, Graham Griffiths, David Kaye, Beth Kelly and Daian Marsh Family mathematics/numeracy: identifying the impact of supporting parents in developing their children’s mathematical skills * 163 David Kaye, Beth Kelly, Jackie Ashton and Graham Griffiths Financial Literacy Competencies - the story so far * 176 Kees Hoogland, Rinske Stelwagen New Dutch Numeracy Framework * 193 Patrick Johnson and Maria Gonzalez A Qualitative Study of the Mathematical Experience of Commencing Tertiary Adult Learners * 203 Marcus E. Jorgensen Relevance as a Bridge between College-Preparation Adults and the World * 213 Section 3 - Paper Presentations John J. Keogh, Theresa Maguire and John O’Donoghue Mathematics in the Workplace – Invisible to Whom? * 228 Leonid Khazanov and Fred Peskoff Incorporating Study Skills Training into an Elementary Algebra Course * 238 Padraig Kirwan A Mature Student Maths Programme 246 Christopher M. Klinger On the role of language and interpretative fluency in addressing mathematics anxiety in adult learners * 247 iv Miriam Liston, Niamh O’ Meara and Blathnaid Ní Chinneide The challenges faced when integrating numeracy and literacy in the development of a ‘Real World Maths’ training pack * 256 Devorah MacLean Playing the Board game for Algebra Review (Beginner & Intermediate) 268 Tibor Marcinek The world through the mathematical eyes of college students: Images from a pilot competency course in quantitative reasoning * 269 Ann McDonnell An exploration of the impact of functional skills: on young people and adults life chances and employability 279 Mesquita, M, Franco S., Matias, M, Matos I, Madeira M, and Marques, J. The Collaborative Group of GEMP as context-building knowledge and the relationship with the knowledge 280 Zaeed Mohammed Functional Skills 281 Ruth Moulton Education Projects in Honduras & Nicaragua 282 Fiacre Ó Cairbre The Positive Impact of Storytelling in Mathematics for Adults * 295 Joan O’Hagan (When) can we trust ourselves to think straight? – and (when) does it really matter? * 305 Tracy Part What is Mathematical Wellbeing? What are the Implications for Policy and Practice? * 316 Damien Raftery and Sharon McDonald Assessing for learning and quantitative literacy 325 Katherine Safford-Ramus A Review and Summary of Dissertation Research in Adult Mathematics Education: - The Next Decade * 326 Katherine Safford-Ramus Professional Development for Middle School Teachers: A Summary of Recent Research in the United States - Final Report * 333 Valerie Seabright MATHEMATICS -Visible but Unseen 341 v Yvonne Seiler and Armin Hollenstein Computer Literacy – A Trojan Horse to Adult Basic Education? 344 Participants’ Contact Details Appendix 1 ALM 18 Bibliography Anthem Appendix 2 vi 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 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 ALM's aims are the advancement of education by the establishment and development of an international research forum in the life-long 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 researchers, 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. Board of Trustees ALM is managed by a Board of Trustees elected by the members at the Annual General Meeting which is held at the annual international conference. vii ALM Officers and Trustees 2011-2012 Chair Dr Chris Klinger, University of South Australia Adelaide, Australia Secretary Institute of Education, London Graham Griffiths London, UK Learning Unlimited Treasurer Ruth Moulton Freelance London, UK Membership Secretary Joanne Kantner Joliet Junior College Illinois, USA Officers Beth Kelly Freelance, Learning Unlimited London, UK Catherine Byrne Education Unit, Wheatfield Dublin, Ireland Prison Dr Terry Maguire Institute of Technology Tallaght Dublin, Ireland Zaeed Mohammed Kendall College Kendall, UK Eileen Goold National University of Ireland, Maynooth, Ireland Maynooth Honorary Trustees: Prof. John O'Donoghue University of Limerick Limerick, Ireland Prof. Dr Jürgen Maaβ University of Linz Linz, Austria Prof. Diana Coben King's College London London, UK Dr Alison Tomlin King's College London London, UK Dr Katherine Safford Saint Peter’s College New Jersey, USA Dr Mieke van Groenestijn Utrecht University of Netherlands Professional Education Lisbeth Lindberg Goteborg University Sweden David Kaye LLU+ London South Bank UK University Dr Marj Horne Australian Catholic University Melbourne, Australia Dr Gail Fitzsimons Monash University Melbourne, Australia viii How to become a member Anyone who is interested in joining ALM should contact the membership secretary. Contact details are on the ALM website: http://www.alm-online.net Membership fees for 2012 Sterling Euro U.S. Dollar Individual £20 €24 $32 Institution £40 €48 $80 Student / Unwaged £4 €6 $8 Low waged – contribute between full and unwaged rate ix Preface Mathematical Eyes: A Bridge between Adults, the World and Mathematics. 18th International Conference Adult Learning Mathematics The Institute of Technology Tallaght. Dublin, Ireland. The Institute of Technology Tallaght is delighted to have hosted the 18th International Conference of Adults Learning Mathematics in June 2011, and to have welcomed the International Research Community to Ireland. The conference came at a time of change in terms of the school mathematics in Ireland. The largest curriculum reform in second level mathematics in Ireland, ‘Project Maths’, was in the process of being implemented on a phased basis (see www.projectmaths.ie ). The emphasis of this reformed curriculum is on forging strong links between the mathematics taught in the classroom and real world applications. ‘Project Maths’, aims to provide for an enhanced student learning experience and greater levels of achievement for all. Much greater emphasis will be placed on student understanding of mathematical concepts, with increased use of contexts and applications that will enable students to relate mathematics to everyday experience Project Maths Development Team (2012). However, the concept of mathematics is strongly linked to each individual’s own school experience, is often considered abstract, and not relevant to everyday life. At community level, there was a sense that ‘Project Maths’ was new and unknown, and as a consequence, feared. In response, the Institute took the decision to build confidence in mathematics at community level, by opening the community’s ‘Maths Eyes’. The initiative ‘Looking at Tallaght with Maths Eyes’, took the innovative and novel approach of sowing the seeds of the importance of mathematics competence in real life situations in the local community. To provide synergy between the conference and the community initiative, the theme of the International conference was ‘Mathematical Eyes: A Bridge between Adults, the World and Mathematics’. The conference mirrored, to a large extent, the theme of the local initiative, ‘Looking at Tallaght with Maths Eyes’. Central to the thinking and planning of the community initiative from the outset, was the notion that the target audience was the Community of Tallaght; not just the schools. As a result, a number of different approaches were incorporated into the initiative to introduce and reinforce the concept of having ‘Maths Eyes’, and making the link between mathematics and the real world. The key aims of the initiative were to: x
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