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CANADIAN MATHEMATICS EDUCATION

STUDY GROUP

GROUPE CANADIEN DÉTUDE EN DIDACTIQUE

DES MATHÉMATIQUES

PROCEEDINGS / ACTES

2013 ANNUAL MEETING /

RENCONTRE ANNUELLE 2013

Brock University

May 24 May 28, 2013

EDITED BY:

Susan Oesterle, Douglas College

Darien Allan, Simon Fraser University

Proceedings of the 2013 Annual Meeting of the

Canadian Mathematics Education Study Group /

Groupe Canadien dÉtude en Didactique des Mathématiques are published by CMESG/GCEDM.

They were printed in April 2014 in Burnaby, BC.

ISBN: 978-0-86491-354-8

iii

PROCEEDINGS OF THE 2013 ANNUAL MEETING OF THE

CANADIAN MATHEMATICS EDUCATION STUDY GROUP / ACTES

DE LA RENCONTRE ANNUELLE 2013 DU GROUPE CANADIEN

DÉTUDE EN DIDACTIQUE DES MATHÉMATIQUES

37th Annual Meeting

Brock University

May 24 May 28, 2013

CONTENTS / TABLES DES MATIÈRES

ELAINE SIMMT vii Introduction

ix Schedule / Horaire

PLENARY LECTURES / CONFÉRENCES

PLÉNIÈRES

ROZA LEIKIN 3 On the Relationships Between Mathematical Creativity, Excellence and Giftedness BILL RALPH 19 Are We Teaching Roman Numerals in a Digital Age?

ELDER TALK / LA PAROLE AUX ANCIENS

ERIC MULLER 27 Through a CMESG Looking Glass

WORKING GROUPS / GROUPES DE TRAVAIL

GEORGE GADANIDIS &

PHILIPPE R. RICHARD

43 A y MOOCs and Online Mathematics Teaching and Learning

ANN KAJANDER,

DOMINIC MANUEL &

BHARATH SRIRAMAN

57 B y Exploring Creativity: From The Mathematics Classroom to

the Mathematicians Mind / Explorer la créativité : de la classe de mathématiques à lesprit des mathématiciens

DOUG FRANKS,

KATHLEEN PINEAU &

WALTER WHITELY

91 C y Mathematics of Planet Earth 2013: Education and

Communication / Mathématiques de la planète Terre 2013 : formation et communication (K-16) iv

LORRAINE BARON &

IZABELLA OLIVEIRA

109 D y What Does it Mean to Understand Multiplicative Ideas and

Processes? Designing Strategies for Teaching and Learning

BRENT DAVIS & KATHY

KUBOTA- ZARIVNIJ

127 E y Mathematics Curriculum Re-Conceptualisation

TOPIC SESSIONS / SÉANCES THÉMATIQUES

ANN ARDEN,

RICHARD HOSHINO, &

KATHLEEN PINEAU

141 Forum canadien sur lenseignement des mathématiques / Canadian

Mathematics Education Forum

EGAN J. CHERNOFF 143 Social Media and Mathematics Education: Whenever the Twain

Shall Meet?

CAROLINE LAJOIE 149 Le jeu de rôles dans un cours de didactique des mathématiques: un outil pour la formation ou un outil pour la recherche sur la formation ? / Role-Play in a Mathematics Methods Course: A Tool for Mathematics Teacher Education or a Tool for Research on

Mathematics Teacher Education?

NEW PHD REPORTS / PRÉSENTATIONS DE

THÈSES DE DOCTORAT

NATHALIE

ANWANDTER-CUELLAR

157 Le nouveau statut des grandeurs dans le programme des

mathématiques en France et ses répercussions sur les pratiques enseignantes / The New Status of Magnitudes in the Curricula of Mathematics in France and its Impact on Teaching Practices PRISCILLA BENGO 169 Mathematics Coaching to Improve Teaching Practice: The

Experiences of Mathematics Teachers and Coaches

CHIAKA DRAKES 179 Mathematical Modelling, From Novice to Expert: Thesis Summary STEVEN KHAN 189 Two Perspectives Regarding the Pedagogical Film All is Number:

Critical and Maroon

MARTHA J. KOCH 199 A Case Study of the Multiple-Use of a Grade 9 Mathematics Assessment: Implications for the Validation Process TINA RAPKE 207 Creating, Understanding, and Teaching Mathematics:

Complementary Processes

MIRANDA RIOUX 215 Évolution des projets de formation de futurs enseignants du primaire au contact de situations probabilistes / Evolution of Prospective Teachers Training Projects in Contact with

Probabilistic Situations

v

AD HOC SESSIONS / SÉANCES AD HOC

IAIN BRODIE 225 Really Big Ideas: Adventures in Data Management CAROL CARRUTHERS 227 Using Learning Objects in the Mathematics Classroom

MARTHA MAVOR &

LEAH PAYERL

229 Mathematics Therapy: Engaging Pre-Service Teachers in Rich

Mathematical Experiences

MANON LEBLANC 231 Students Doing Research in a Mathematics Education Course...Why Not? / Des étudiants qui font de la recherche dans un cours de

Pourquoi pas?

TIM SIBBALD 233 Hindrances and Affordances in Teacher-as-Researcher

MATHEMATICS GALLERY / GALLÉRIE

MATHÉMATIQUE

JEAN-PHILIPPE

BÉLANGER,

LUCIE DEBLOIS & VIKTOR

FREIMAN

237
mathématiques /

Production in Mathematics

LAURA BROLEY 239 E-Brock Bugs© : The Creation and Analysis of an Epistemic

Mathematics Computer Game

CHANTAL BUTEAU,

ERIC MULLER &

NEIL MARSHALL

241 be an Implementable Form/Alternative to Microworlds?

INDIGO ESMONDE 243 Mathematics and Social Justice: Considering School and

Community Learning

JENNIFER HALL 245 of and Experiences with Mathematics,

Mathematicians, and Media

JENNIFER HOLM &

ANN KAJANDER

247 Searching for Profound Understanding: Unpacking Preservice

Teacher Mathematics Knowledge

RICHARD HOSHINO

249 The Math Olympian

ZHAOYUN WANG

251 TIMSS: What Should We Focus On in Mathematics Teaching?

vi

APPENDICES / ANNEXES

255 A y Working Groups at Each Annual Meeting

261 B y Plenary Lectures at Each Annual Meeting

265 C y Proceedings of Annual Meetings

vii

INTRODUCTION

Elaine Simmt President, CMESG/GCEDM

University of Alberta

The 2013 Brock meeting provided CMESG members with the opportunity to consider mathematics in terms of our relationship with it as individual learners and teachers, as well as a domain embedded in rapidly transforming contexts. This Wordle heart of our work. mathematical knowledge, creativi for three days of working group discussions in which members explored issues of teaching and learning in online environments, creativity in mathematics, multiplicative thinking, the mathematics of planet earth, and curriculum re-conception. In these proceedings the working groups share their discussions. The topic study groups too demonstrated innovations in our

field through the use of role-play in mathematics teacher education and the possibilities

afforded by social media for mathematics and mathematics education. With the work of 8 new PhDs shared in the meeting and the reflections on mathematics education by Dr. Eric Muller in his Elder Talk we can be reassured that the Canadian Mathematics Education Study Group continues to live its legacy of bringing together mathematicians, mathematics teacher educators and mathematics educational researchers to consider the profound impact mathematics has in Canada. I would like to take this opportunity to thank our colleagues, Drs. Chantal Buteau and Joyce Mgombelo, for their work hosting a wonderful conference at Brock last May. They and their team ensured that we were well fed, entertained and educated. Particular thanks to the Planning CommitteeLaura Broley, Jeff Irvine, Assuntina Del Gobbo, Amanjot Toor; and the volunteersDianne Kenton, Kristina Wamboldt, Matt Klompmaker, Josh Farkas, Ryan Racine, Jessica Varga, Matt Chang-Kit, Tyler Plyley, David Nguyen, and Mike Dubé. ix

Horaire

Vendredi

24 mai

Samedi

25 mai

Dimanche

26 mai

Lundi

27 mai

Mardi

28 mai

9:30 16:30

Pré-Conférence

Recherches

en didactique des mathématiques et enseignement des mathématiques : illusions, réalité et opportunités

8:00 9:00

Inscription

8:45 10:15

Groupes de

travail

8:45 10:15

Groupes de

travail

8:45 10:15

Groupes de

travail

8:45 9:15

Nlles thèses (3)

9:20 9:50

Nlles thèses (4)

10:00 10:30

Séances ad hoc 10:15 10:45

Pause café

10:15 10:45

Pause café

10:15 10:45

Pause café

10:45 12:15

Groupes de

travail

10:45 12:15

Groupes de

travail

10:45 12:15

Groupes de

travail

10:45 11:30

La parole aux

anciens

11:30 11:45

Pause café

11:45 12:30

Séance

de clôture

12:15 13:30

Dîner 12:30 13:30

Dîner

12:30 13:30

Dîner

12:30 13:30

Dîner

14:30 18:45

Inscription

15:30 16:20

Amis de FLM

13:30 14:45

Dessert et

Gallérie

mathématique

13:30 14:30

Plénière 2

13:30 14:00

Petits groupes

14:00 15:00

Plénière 2 :

Séance questions 14:35 15:50

Assemblée

générale annuelle

15:00 15:30

Petits groupes

16:00 22:00

Excursion

* Niagara Falls *Niagara-on-the-

Lake Winery et

Downtown

* Excursion à pied

Souper

15:40 16:30

Plénière 1 :

Séance questions

15:50 16:20

Pause café

16:30 17:00

Pause café 16:30 17:30

Séances

thématiques

17:00 18:45

Souper

17:00 17:30

Nlles thèses (1)

17:30 18:00

Nlles thèses (2)

17:30 18:00

Séances ad hoc

Souper libre

Dans le Niagara

18:30 ?

Souper

Pond Inlet

18:45 19:30

Séance

douverture

21:30 ?

Feu de camps

19:30 20:30

Plénière 1

20:30 ?

Réception

x

Schedule

Friday

May 25

Saturday

May 26

Sunday

May 27

Monday

May 28

Tuesday

May 29

9:30 16:30

Pre-Conference

Mathematics

Education

Research and

Mathematics

Teaching:

Illusions, Reality

and Opportunities

8:00 9:00

Registration

8:45 10:15

Working Groups

8:45 10:15

Working Groups

8:45 10:15

Working Groups

8:45 9:15

New PhDs (3)

9:20 9:50

New PhDs (4)

10:00 10:30

Ad hoc 10:15 10:45

Coffee Break

10:15 10:45

Coffee Break

10:15 10:45

Coffee Break

10:45 12:15

Working Groups

10:45 12:15

Working Groups

10:45 12:15

Working Groups

10:45 11:30

Elder Talk

11:30 11:45

Coffee Break

11:45 12:30

Closing Session

12:15 13:30

Lunch 12:30 13:30

Lunch

12:30 13:30

Lunch

12:30 13:30

Lunchquotesdbs_dbs31.pdfusesText_37

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