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CMESG Cherche À Faire En Regroupant Des Personnes D'horizons Divers Autour De Thématiques Liées À L'enseignement Et À L'apprentissage Des Mathématiques

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CMESG Cherche À Faire En Regroupant Des Personnes D'horizons Divers Autour De Thématiques Liées À L'enseignement Et À L'apprentissage Des Mathématiques 40 Years of CMESG Les 40 ans du GCEDM 40 Years CANADIAN MATHEMATICS EDUCATION STUDY GROUP 40 YEARS OF CMESG CMESG M C E E S D GCEDM LES 40 ANS DU GCEDM GROUPE CANADIEN D'ÉTUDE EN DIDACTIQUE DES MATHÉMATIQUES EDITED BY: Peter Liljedahl Simon Fraser University | Darien Allan Collingwood School | Olive Chapman University of Calgary | Frédéric Gourdeau Université Laval | Caroline Lajoie Université du Québec à Montréal | Susan Oesterle Douglas College | Elaine Simmt University of Alberta | Peter Taylor Queen's University ISBN: 978-1-77287-005-3 CANADIAN MATHEMATICS EDUCATION STUDY GROUP 40 YEARS OF CMESG LES 40 ANS DU GCEDM GROUPE CANADIEN D'ÉTUDE EN DIDACTIQUE DES MATHÉMATIQUES EDITED BY: Peter Liljedahl Simon Fraser University | Darien Allan Collingwood School | Olive Chapman University of Calgary | Frédéric Gourdeau Université Laval | Caroline Lajoie Université du Québec à Montréal | Susan Oesterle Douglas College | Elaine Simmt University of Alberta | Peter Taylor Queen's University 40th Anniversary Issue of the Canadian Mathematics Education Study Group / Groupe Canadien d'Étude en Didactique des Mathématiques Published by CMESG/GCEDM. Printed in May 2016 in Burnaby, BC. ISBN: 978-1-77287-005-3 In memory of the colleagues who are no longer with us. En mémoire des collègues qui ne sont plus parmi nous. ABOUT THIS SPECIAL ISSUE Peter Liljedahl Simon Fraser University The 40th anniversary of an organization is of great significance. It is the year that, for the most part, the people who started the organization are, unfortunately, no longer part of the organization. With one exception, this is true of CMESG. As such, it is an important time to look back at our collective history, to reflect on where he have been, and who we have become as an organization. This special issue of the CMESG/GCEDM Proceedings is such a reflection. Through a selection of excerpts from past proceedings we have stitched together a partial history of our time as an organization. This serves not only as a summary of our collective history, but also serves as an introduction to the activities of CMESG/GCEDM through our first 40 years. To be clear, the selections included in this special issue are not to be seen as the best of CMESG/GCEDM. The best of CMESG/GCEDM already exists in the comprehensive archives of all CMESG proceedings located on our website. The pieces selected for inclusion in this special issue stand, instead, as signposts along our history – as exemplifications of what CMESG/GCEDM is as an organization as well as the activities of CMESG/GCEDM at our annual meetings. The charge of selecting what was to be included in this special issue was given to a representative team CMESG/GCEDM members. Peter Liljedahl Simon Fraser University Darien Allan Collingwood School Olive Chapman University of Calgary Frédéric Gourdeau Université Laval Caroline Lajoie Université du Québec à Montréal Susan Oesterle Douglas College Elaine Simmt University of Alberta Peter Taylor Queen's University Among this group we have CMESG/GCEDM presidents, proceedings editors, mathematicians and mathematics educators, and academics and practitioners. The list also includes members who joined CMESG/GCEDM in every decade of our first 40 years, including Peter Taylor who was present at the first meeting and every meeting since. Together, we chose the selections to be included in the special issue as well as crafted introductions to each piece articulating the ways in which that piece exemplifies the valued aspects of CMESG/GCEDM. We hope you find enjoyment in reading again, or for the first time, the selections contained herein. v À PROPOS DE CE NUMÉRO SPÉCIAL Peter Liljedahl Simon Fraser University Le 40e anniversaire d’une organisation revêt toujours une grande importance. Généralement, plusieurs des personnes fondatrices ne font alors malheureusement plus partie de l’organisation. À une exception près, les membres fondateurs du GCEDM sont toujours parmi nous. En ce sens, le moment nous semble bien choisi pour examiner en rétrospective notre histoire collective, et pour réfléchir à ce que nous avons accompli et à ce que nous sommes devenus en tant qu’organisation. Ce numéro spécial des actes du CMESG/GCEDM est une telle réflexion. Il s’agit en fait d’une histoire partielle de notre organisation, construite à partir d’une sélection d’extraits d’actes de rencontres passées. Ce numéro spécial peut aussi être vu comme une introduction aux activités du CMESG/GCEDM réalisées au cours de nos 40 premières années d’histoire. Il est important de comprendre que les extraits qui ont été retenus pour ce numéro spécial ne doivent pas être vus comme étant le meilleur du CMESG/GCEDM. Le meilleur du CMESG/GCEDM existe déjà dans les archives du groupe, soit dans les actes de nos rencontres, tous disponibles sur notre site web. Les textes retenus pour ce numéro spécial doivent plutôt être considérés comme des points repères de notre histoire, des exemples à la fois de ce que le CMESG/GCEDM est comme groupe et des activités qui caractérisent nos rencontres annuelles. La responsabilité d’élaborer ce numéro spécial a été donnée à une équipe représentative du CMESG/GCEDM. Peter Liljedahl Simon Fraser University Darien Allan Collingwood School Olive Chapman University of Calgary Frédéric Gourdeau Université Laval Caroline Lajoie Université du Québec à Montréal Susan Oesterle Douglas College Elaine Simmt University of Alberta Peter Taylor Queen's University Cette équipe regroupe des président(e)s du CMESG/GCEDM, des membres ayant édité les actes, des mathématicien(ne)s et didacticien(ne)s, des académiques et des praticien(ne)s. La liste inclut aussi des membres ayant joint les rangs du CMESG/GCEDM à chacune des quatre décennies de son histoire. En particulier, on y trouve Peter Taylor, qui était présent à la première rencontre ainsi qu’à toutes celles qui l’ont suivie. Nous avons choisi ensemble les extraits à inclure dans le numéro spécial et nous avons rédigé collectivement des introductions à ces extraits de manière à mettre en évidence pour chacun les particularités du CMESG/GCEDM qu’il exemplifie. Nous espérons vivement que vous aurez du plaisir à relire, ou à lire pour une première fois, nos sélections. vii SPECIAL 40TH ANNIVERSARY ISSUE OF THE CANADIAN MATHEMATICS EDUCATION STUDY GROUP / GROUPE CANADIEN D'ÉTUDE EN DIDACTIQUE DES MATHÉMATIQUES CONTENTS / TABLES DES MATIÈRES PETER LILJEDAHL v 2016 About this Special Issue PETER TAYLOR 15 2016 Foreword Préface ALBERT COLEMAN, BILL 17 1977 Preface to the 1977 CMESG Proceedings HIGGINSON, & DAVID WHEELER DAVID WHEELER 19 1992 The Origins and Activities of CMESG PLENARY LECTURES / CONFÉRENCES PLÉNIÈRES TOM KIEREN 29 1977 Mathematics Education Research in Canada: A Prospective View CLAUDE GAULIN 43 1977 Innovations in Teacher Education Programmes ALBERT COLEMAN 53 1977 The Objectives of Mathematics Education ALAN SCHOENFELD 59 1986 Confessions of an Accidental Theorist MICHÈLE ARTIGUE 73 1995 The Role of Epistemology in the Analysis of Teaching/Learning Relationships In Mathematics Education DAVID HENDERSON 89 1977 Alive Mathematical Reasoning DEBORAH 107 2002 Toward a Practice-Based Theory of Mathematical LOEWENBERG BALL Knowledge for Teaching AND HYMAN BASS EDWARD DOOLITTLE 121 2006 Mathematics as Medicine PAULUS GERDES 131 2012 Old and New Mathematical Ideas from Africa: Challenges for Reflection WORKING GROUPS / GROUPES DE TRAVAIL WILLIAM BYERS & 155 1996 The Role of Proof in Post-Secondary Education HARVEY GERBER CAROLYN KIERAN & JO 161 1998 From Theory To Observational Data (And Back Again) TOWERS ix JOHN MASON & ERIC 169 2001 Where Is The Mathematics? MULLER NADINE BEDNARZ & 175 2002 The Arithmetic/Algebra Interface: Implications For Primary LESLEY And Secondary Mathematics Articulation Arithmétique/Algèbre: implications pour l'enseignement des mathématiques au primaire et au secondaire MIROSLAV LOVRIC & 187 2003 Images Of Undergraduate Mathematics DAVID POOLE WALTER WHITELEY & 193 2003 A Mathematics Curriculum Manifesto BRENT DAVIS NATHALIE SINCLAIR, 199 2004 Learner Generated Examples ANNE WATSON, & RINA ZAZKIS JAMIE PYPER, HASSANE 211 2009 Étude des pratiques d'enseignement SQUALLI, & LAURENT THEIS DOUG FRANKS, 219 2013 Mathematics of Planet Earth 2013: Education and KATHLEEN PINEAU, & Communication Mathématiques de la planète terre 2013 : WALTER WHITELEY formation et communication LISA LUNNEY BORDEN & 237 2015 Indigenous Ways of Knowing in Mathematics FLORENCE GLANFIELD TOPIC SESSIONS / SÉANCES THÉMATIQUES DAVID WHEELER 247 1998 The Commonsense of Teaching CAROLYN KIERAN 255 2002 A Historical Perspective on Mathematics Education Research in Canada: The Emergence of a Community ROBERTA MURA 279 2002 Lessons from the Past, Questions for the Future: Méditation sur thème impose PETER LILJEDAHL 289 2015 Building Thinking Classrooms: Conditions for Problem Solving AD HOC SESSIONS / SÉANCES AD HOC DAVID HEWITT 299 1998 Where do I Want Students' Attention? And What Can I do to Affect their Attention? A. J. (SANDY) DAWSON 301 2004 Measuring the Impact of a Mentor Program x APPENDICES / ANNEXES 305 A Plenary Lectures at Each Annual Meeting 309 B Working Groups at Each Annual Meeting 315 C Proceedings of Annual Meetings 317 D List of Participants xi FOREWORD Peter Taylor Queen's University Fall 1977 – that was the beginning. We didn't have an organization or a name and we weren't quite sure what our objective was, other than the fact that John Colman's report, commissioned in the early 70's by the Science Council of Canada, made it clear that important work needed to be done to bring mathematics – real mathematics, indeed the joy of mathematics – into the lives of our children and our citizens. Coleman and David Wheeler, who deserve to be called the prime movers of CMESG, decided to convene a national meeting of mathematicians and math educators to come together and talk about next moves, and they recruited the young Bill Higginson to help them organized this event in the Fall of 1977. By the following year, 1978, the christening of CMESG/GCEDM had occurred and a few years later, the locus of the annual meeting of this national body left Kingston and began to move around Canada.
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