Building the Foundation: Whole Numbers in the Primary Grades

Part I. Introductory Section

1. Building a Strong Foundation Concerning Whole Number Arithmetic in Primary Grades: Editorial Introduction
Maria G. Bartolini Bussi, Xu Hua Sun

2. Social and Cultural Contexts in the Teaching and Learning of Whole Number Arithmetic
Maria G. Bartolini Bussi, Xu Hua Sun

3. Language and Cultural Issues in the Teaching and Learning of WNA
Xu Hua Sun, Maria G. Bartolini Bussi

4. On Number Language: A Commentary on Chapter 3
David Pimm

Part II. Working Group Chapters and Commentaries

5. The What and Why of Whole Number Arithmetic: Foundational Ideas from History, Language and Societal Changes
Xu Hua Sun, Christine Chambris, Judy Sayers, Man Keung Siu, Jason Cooper, Jean-Luc Dorier, Sarah Inés González Lora Sued, Eva Thanheiser, Nadia Azrou, Lynn McGarvey, Catherine Houdement, Lisser Rye Ejersbo

6. Reflecting on the What and Why of Whole Number Arithmetic: A Commentary on Chapter 5
Roger Howe

7. Whole Number Thinking, Learning and Development: Neuro-cognitive, Cognitive and Developmental Approaches
Joanne Mulligan, Lieven Verschaffel, Anna Baccaglini-Frank, Alf Coles, Peter Gould, Shengqing He, Yunpeng Ma, Jasmina Milinković, Andreas Obersteiner, Nicole Roberts, Nathalie Sinclair, Yanling Wang, Shu Xie, Der-Ching Yang

8. Whole Number Thinking, Learning and Development: A Commentary on Chapter 7
Pearla Nesher

9. Aspects that Affect Whole Number Learning: Cultural Artefacts and Mathematical Tasks
Maria G. Bartolini Bussi, Maitree Inprasitha, Ferdinando Arzarello, Hyman Bass, Ulrich Kortenkamp, Silke Ladel, Caroline Lajoie, Yujing Ni, Thomas Rottmann, Veronica Sarungi, Sophie Soury-Lavergne, Jenny Young-Loveridge

10. Artefacts and Tasks in the Mathematical Preparation of Teachers of Elementary Arithmetic from a Mathematician’s Perspective: A Commentary on Chapter 9
Bernard R. Hodgson

11. How to Teach and Assess Whole Number Arithmetic: Some International Perspectives
Jarmila Novotná, Berinderjeet Kaur, Ann Gervasoni, Mike Askew, Michiel Veldhuis, Catherine Pearn, Xu Hua Sun

12. How to Teach and Assess Whole Number Arithmetic: A Commentary on Chapter 11
Claire Margolinas

13. Connecting Whole Number Arithmetic Foundations to Other Parts of Mathematics: Structure and Structuring Activity
Hamsa Venkat, Sybilla Beckmann, Kerstin Larsson, Yan Ping Xin, Alessandro Ramploud, Limin Chen

14. Structuring Structural Awareness: A Commentary on Chapter 13
John Mason

Part III. Panels

15. Tradition in Whole Number Arithmetic
Ferdinando Arzarello, Nadia Azrou, Maria G. Bartolini Bussi, Sarah Inés González Lora Sued, Xu Hua Sun, Man Keung Siu

16. Special Needs in Research and Instruction in Whole Number Arithmetic
Lieven Verschaffel, Anna Baccaglini-Frank, Joanne Mulligan, Marja Heuvel-Panhuizen, Yan Ping Xin, Brian Butterworth

17. Professional Development Models for Whole Number Arithmetic in Primary Mathematics Teacher Education: A Cross-Cultural Overview
Jarmila Novotná, Maria G. Bartolini Bussi, Sybilla Beckmann, Maitree Inprasitha, Berinderjeet Kaur, Xu Hua Sun, Hamsa Venkat, Mike Askew

Part IV. Plenary Presentations

18. The Theory of School Arithmetic: Whole Numbers
Liping Ma, Cathy Kessel

19. Quantities, Numbers, Number Names and the Real Number Line
Hyman Bass

20. Low Numeracy: From Brain to Education
Brian Butterworth

Keywords: Education, Mathematics Education, Early Childhood Education, International and Comparative Education, Educational Policy and Politics, Teaching and Teacher Education