New ICMI Study Series Richard Barwell · Philip Clarkson Anjum Halai · Mercy Kazima Judit Moschkovich · Núria Planas Mamokgethi Setati-Phakeng Paola Valero Martha Villavicencio Ubillús Editors Mathematics Education and Language Diversity The 21st ICMI Study New ICMI Study Series VOLUME Published under the auspices of the International Commission on Mathematical Instruction under the general editorship of Ferdinando Arzarello, President Abraham Arcavi, Secretary-General Cheryl E. Praeger, Vice-President. For further volumes: http://www.springer.com/series/6351 I nformation on the ICMI Study programme and on the resulting publications can be obtained at the ICMI website http://www.mathunion.org/ICMI/ or by contacting the ICMI Secretary- General, whose email address is available on that website. Richard Barwell (cid:129) Philip Clarkson Anjum Halai (cid:129) Mercy Kazima Judit Moschkovich (cid:129) Núria Planas Mamokgethi Setati Phakeng (cid:129) Paola Valero Martha Villavicencio Ubillús Editors Mathematics Education and Language Diversity The 21st ICMI Study Editors Richard Barwell Philip Clarkson Faculty of Education Australian Catholic University University of Ottawa Fitzroy , VIC , Australia Ottawa , ON , Canada Mercy Kazima Anjum Halai University of Malawi Institute for Educational Development Zomba, Malawi East Africa Aga Khan University Núria Planas Dar es Salaam , Tanzania Universitat Autònoma de Barcelona Barcelona , Catalonia-Spain Judit Moschkovich University of South Africa University of California, Santa Cruz Pretoria , South Africa Santa Cruz , CA , USA Paola Valero Mamokgethi Setati Phakeng Aalborg University University of South Africa Aalborg , Denmark Pretoria , South Africa Martha Villavicencio Ubillús Ministerio de Educación Lima , Peru ISSN 1387-6872 ISSN 2215-1745 (electronic) New ICMI Study Series ISBN 978-3-319-14510-5 ISBN 978-3-319-14511-2 (eBook) DOI 10.1007/978-3-319-14511-2 Library of Congress Control Number: 2015944108 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 T his work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifi cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfi lms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specifi c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. T he publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper S pringer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com) Acknowledgments The editors are grateful to the following colleagues who reviewed chapters: Cris Edmonds-Wathen, Anthony Essien, Susan Gerofsky, Mercy Kazima, Michael Meyer, Frank Monaghan, Candia Morgan, David Pimm, Ricardo Scucuglia, Denisse Thompson, David Wagner, and Lynn Webb. Richard Barwell thanks the Faculty of Education, University of Ottawa, for fi nancial support and Farzaneh Salehi for editorial assistance during the preparation of the manuscript. v Contents 1 Introduction: An ICMI Study on Language Diversity in Mathematics Education ..................................................................... 1 Richard Barwell , Philip Clarkson , Anjum Halai , Mercy Kazima , Judit Moschkovich , Núria Planas , Mamokgethi Setati Phakeng , Paola Valero , and Martha Villavicencio Ubillús 2 Impact of Differing Grammatical Structures in Mathematics Teaching and Learning ........................................................................... 23 Cris Edmonds-Wathen , Tony Trinick , and Viviane Durand-Guerrier 3 Making Use of Multiple (Non-shared) First Languages: State of and Need for Research and Development in the European Language Context ....................................................... 47 Michael Meyer , Susanne Prediger, Margarida César, and Eva Norén 4 Mathematics Education in Multilingual Contexts for the Indigenous Population in Latin America ................................. 67 Aldo Parra , Jackeline Rodrigues Mendes , Paola Valero , and Martha Villavicencio Ubillús 5 Challenges and Opportunities for Second Language Learners in Undergraduate Mathematics ............................................ 85 Viviane Durand-Guerrier , Mercy Kazima , Paul Libbrecht , Judith Njomgang Ngansop , Leila Salekhova , Nail Tuktamyshov , and Carl Winsløw 6 Language Diversity in Mathematics Teacher Education: Challenges Across Three Countries ...................................................... 103 Anthony A. Essien , Nancy Chitera , and Núria Planas 7 Addressing Multi-language Diversity in Mathematics Teacher Education Programs ................................................................. 121 Denisse R. Thompson , Gladis Kersaint , Hannatjie Vorster , Lyn Webb , and Marthie S. Van der Walt vii viii Contents 8 Mathematics in the Hands of Deaf Learners and Blind Learners: Visual–Gestural–Somatic Means of Doing and Expressing Mathematics.................................................. 141 Lulu Healy , Elizabeth Becerra Ramos , Solange Hassan Ahmad Ali Fernandes , and Jurema Lindote Botelho Peixoto 9 Student Agency and Counter-Narratives in Diverse Multilingual Mathematics Classrooms: Challenging Deficit Perspectives .............. 163 Jennifer M. Langer-Osuna , Judit Moschkovich , Eva Norén , Arthur B. Powell , and Sumaia Vazquez 10 Tensions in Teaching Mathematics in Contexts of Language Diversity ............................................................................. 175 Richard Barwell , Lim Chapsam , Thulisile Nkambule , and Mamokgethi Setati Phakeng 11 Purposefully Relating Multilingual Registers: Building Theory and Teaching Strategies for Bilingual Learners Based on an Integration of Three Traditions ....................... 193 Susanne Prediger , Philip Clarkson , and Arindam Bose 12 Using ICTs to Facilitate Multilingual Mathematics Teaching and Learning ........................................................................... 217 Paul Libbrecht and L eila Goosen 13 Language Diversity and New Media: Issues of Multimodality and Performance ..................................................................................... 237 George Gadanidis , Marcelo Borba , and Ricardo Scucuglia 14 Language Diversity in Research on Language Diversity in Mathematics Education ..................................................................... 263 Faïza Chellougui , Hien Nguyen Thi Thu , and Carl Winsløw 15 Research Rationalities and the Construction of the Deficient Multilingual Mathematics Learner ............................ 279 Anjum Halai , Irfan Muzaffar , and Paola Valero ICMI Study 21 Discussion Document: Mathematics Education and Language Diversity ........................................ 297 Index ................................................................................................................. 309 Contributors Richard Barwell Faculty of Education, University of Ottawa , Ottawa , ON , Canada Marcelo Borba Universidade Estadual Paulista (UNESP) , Sao Jose Rio Preto , SP , Brazil Arindam Bose Homi Bhabha Centre for Science Education, TIFR , Mumbai , India Margarida César Associated Researcher , University of Neuchâtel, Neuchâtel , Switzerland Lim Chapsam Universiti Sains Malaysia , Penang , Malaysia Faïza Chellougui Faculté des Sciences de Bizerte , Bizerte , Tunisia Nancy Chitera University of Malawi , Blantyre , Malawi Philip Clarkson Australian Catholic University , Fitzroy , VIC , Australia Viviane Durand-Guerrier University of Montpellier , Montpellier , France Cris Edmonds-Wathen Charles Darwin University , Darwin , NT , Australia Anthony A. Essien University of the Witwatersrand , Johannesburg , South Africa Solange Hassan Ahmad Ali Fernandes Anhanguera University of São Paulo, São Paulo , SP , Brazil George Gadanidis Faculty of Education , University of Western Ontario , London , ON , Canada Leila Goosen University of South Africa, Johannesburg, South Africa Anjum Halai Institute for Educational Development, East Africa , Aga Khan University , Dar es Salaam , Tanzania Lulu Healy Anhanguera University of São Paulo, São Paulo , SP , Brazil ix