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Mathematics Textbook Research and Development King’s Research Portal Document Version Publisher's PDF, also known as Version of record Link to publication record in King's Research Portal Citation for published version (APA): Li, H-C., & Chang, Y-S. (2014). A comparative analysis of national curricula relating to fractions in England and Taiwan. In Proceedings of the International Conference on Mathematics Textbook Research and Development. (pp. 297-302). Southampton: University of Southampton. Citing this paper Please note that where the full-text provided on King's Research Portal is the Author Accepted Manuscript or Post-Print version this may differ from the final Published version. If citing, it is advised that you check and use the publisher's definitive version for pagination, volume/issue, and date of publication details. 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Download date: 18. Feb. 2017 Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014) Editors Keith Jones, Christian Bokhove, Geoffrey Howson & Lianghuo Fan Copyright © 2014 left to the authors of individual papers All rights reserved Published by Southampton Education School, University of Southampton, 29 July 2014 ISBN: 9780854329847 (pk) ISBN: 9780854329854 (ebook) This work is licensed under a Creative Commons Attribution 4.0 International License. Front cover based on artwork by Fever Design, 15 Bowling Green Lane, London EC1R 0BD Email: [email protected]; Tel: 020 7490 0090. Used with permission. Cite as: Jones, K., Bokhove, C., Howson, G., & Fan, L. (Eds) (2014), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT- 2014). Southampton: University of Southampton. Proceedings available for download at: http://eprints.soton.ac.uk/374809 Conference presentations at: http://icmt2014.soton.ac.uk/presentations Conference website: http://icmt2014.soton.ac.uk/ http://www.southampton.ac.uk/ Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014) Editors Keith Jones Christian Bokhove Geoffrey Howson Lianghuo Fan Conference sponsors We are grrateful for the generosity of the following major sponsors (in alphabetical order), each of whom provided support for the ICMT-2014 conference: Beeijing Normal University Publishing Group East China Normal University Press Marshall Cavendish Institute Oxford University Press School Mathematics Project Sppringer Zhejiang Education Publishing Houusse The conference orgaanisers are also indebted to Professor Sir Bryan Thwaites for donating copies of his recent book for each conferrence delegate: Thwaites, B. (2012). The School Mathematics Project 1961-1970: A decade of innovation and its sequel. Cambridge: Cambridge University Press. The conference was hosted by the Mathematics and Science Education Research Centre (MaSE) at the University of Southampton; for up-to-date information on MaSE, please see: http://mase.soton.ac.uk/ The suppoort and assistance of the University of Southampton, and the Southampton Education School, was invaluable in enaabbling the success of the conference. Preface To many people, especially mathematics educators across the world, Southampton has been historically linked to mathematics textbook reform and development through the School Mathematics Project (SMP) since the early 1960s. We are happy that many researchers in mathematics education and mathematics, as well as textbook reformers and developers, policy makers and practitioners from different parts of the world came to attend the International Conference on Mathematics Textbook Research and Development (ICMT-2014) held at the University of Southampton from 29-31 July 2014. The provision of well-judged, coherent mathematics courses, whether they be textbook-based, hybrid (textbooks with IT), entirely IT or teacher-based, is vital. It is our hope that the proceedings of this conference not only results in improvements to what is currently available, but also promotes further research and helps to assist the propagation of acquired knowledge and experience to administrators, developers and teachers. Just as we extended a warm welcome to everyone attending the conference, we hope that these conference proceedings prove both valuable and enjoyable. Geoffrey Howson, Honorary Chair, International Programme Committee (IPC) Emeritus Professor, University of Southampton, UK Lianghuo Fan, Chair, International Programme Committee (IPC) Professor in Education, University of Southampton, UK Keith Jones, Chair, Local Organization Committee (LOC) and member of the IPC Associate Professor, University of Southampton, UK Christian Bokhove, Co-Chair, Local Organization Committee (LOC) Lecturer, University of Southampton, UK i International programme committee (IPC) Prof. Geoffrey Howson (Honorary Chair, UK) Prof. Frederick Leung (Hong Kong) Prof. Lianghuo Fan (IPC Chair, UK) Prof. Eizo Nagasaki (Japan) Prof. Marcelo C. Borba (Brazil) Prof. Graham Niblo (UK) Prof. Barbro Grevholm (Norway) Prof. Birgit Pepin (Norway) Assoc. Prof. Keith Jones (LOC Chair, UK) Prof. Kenneth Ruthven (UK) Prof. Gabriele Kaiser (Germany) Prof. Zalman Usiskin (USA) Prof. Anthony Kelly (UK) Prof. Jianpan Wang (China) Prof. Jeremy Kilpatrick (USA) Local organising committee (LOC) Keith Jones (Chair) Julie-Ann Edwards (Organisational manager) Marcus Grace (Co-Chair) Ruth Edwards Christian Bokhove (Co-Chair) Lianghuo Fan Jenny Byrne Caro Garrett Ian Campton Rosalyn Hyde Andri Christodoulou Charis Voutsina All members of the Local Organising Committee (LOC) are from the Mathematics and Science Education Research Centre (MaSE) of the Southampton Education School at the University of Southampton. MaSE website: http://mase.soton.ac.uk MaSE Twitter account: @MASEsoton (conference hashtag #ictm2014) ICMT 2014 website: http://icmt2014.soton.ac.uk The official language of the conference was English. Reviewers (all University of Southampton unless otherwise noted) Lianghuo Fan (Chair), Keith Jones, Geoffrey Howson, Christian Bokhove, Manahel Alafaleq, Jenny Byrne, Ian Campton, Andri Christodoulou, Julie-Ann Edwards, Ruth Edwards, Taro Fujita (University of Exeter), Marcus Grace, Rosalyn Hyde, Mailizar Mailizar, Zhenzhen Miao, Ida Ah Chee Mok (University of Hong Kong), Charis Voutsina, Yuqian Wang (Durham University) Conference administrators & helpers Manahel Alafeq, Mandy Lo, Mailizar Mailizar, Zhenzhen Miao, Linda Wang, Joanna Williamson, Li Hao, Liyuan Liu, Ping Lu, Jinyu Yang, Michael Zhai, Bo Zhang ii Contents Preface i International programme committee (IPC) ii Local organising committee (LOC) ii Reviewers ii ICMT-2014 administrators & helpers ii Contents iii Plenary lectures Plenary 1 3 From clay tablet to computer tablet: The evolution of school mathematics textbooks Jeremy Kilpatrick Plenary 2 13 Challenges to the authoritarian roles of textbooks Michal Yerushalmy Plenary 3 21 Messages conveyed in textbooks: A study of mathematics textbooks during the Cultural Revolution in China Frederick Koon-Shing Leung Plenary panel 23 Back to the future of textbooks in mathematics teaching The textbook is dead: Long live the textbook 25 Ken Ruthven Building digital curriculum for middle school using challenges, projects and 29 tools Jere Confrey The School Mathematics Project: Mapping its changes of direction 31 John Ling iii Competence-oriented development of mathematics textbooks in the twenty- 33 first century in China Binyan Xu Symposia Symposium 1: Teachers editing textbooks Teachers editing textbooks: Transforming conventional connections among 37 teachers, curriculum developers, mathematicians, and researchers Ruhama Even & Michal Ayalon Teachers editing textbooks: Changes suggested by teachers to the mathematics 43 textbook they use in class Shai Olsher & Ruhama Even Symposium 2: Lessons learned from three decades of textbook research Lessons learned from three decades of textbook research 51 Denisse Thompson & Sharon Senk Symposium 3: US mathematics textbooks in the Common Core era US mathematics textbooks in the Common Core era 59 William H. Schmidt & Richard T. Houang Symposium 4: Transition to college mathematics and statistics Transition to college mathematics and statistics: A problem-based, 67 technology-rich capstone course for non-STEM students Christian Hirsch Symposium 5: The New Century Primary Mathematics textbook series The New Century Primary Mathematics textbook series: Textbooks in China 75 with specific consideration to characteristics of children’s thinking Huinu Wei & Fengbo He Symposium 6: Reform of Chinese school mathematics curriculum and
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