Building the Foundation: Whole Numbers in the Primary Grades

“The book Building the Foundation: Whole Numbers in the Primary Grades is the documentation of the 23rd ICMI study. For those not familiar with this series, ICMI (International Commission on Mathematical Instruction) studies are international conferences supported by the Executive Committee of the International Commission of Mathematics Instruction. The participants in these conferences together produce a study volume which aims to offer a coherent, state-of-the-art representation of the domain of the study.” (Jorryt van Bommel and Hanna Palmér, Educational Studies in Mathematics, Vol. 100, 2019)​

• Part I. Introductory section.- Chapter 1. Building a strong foundation concerning whole numbers arithmetic in primary grades: editorial introduction.- Chapter 2. Social and cultural contexts in the teaching and learning of whole numbers arithmetic.- Chapter 3. Language and cultural issues in the teaching and learning of whole number arithmetic.- Chapter 4. Reflecting on number language: a commentary on Chapter 3.- Part II. Working group chapters and commentaries.- Chapter 5. What and why of whole number arithmetic: foundational ideas from history, language, and societal changes.- Chapter 6. Reflecting on the what and why of whole numbers arithmetic: a commentary on Chapter 5.- Chapter 7. Whole number thinking, learning and development: neuro-cognitive, cognitive and developmental approaches.- Chapter 8.   Whole number thinking, learning and development: a commentary on Chapter 7.- Chapter 9. Aspects that affect whole number learning: cultural artefacts and mathematical tasks.- Chapter 10. Artefacts and tasks in the mathematical preparation of teachers of elementary arithmetic from a mathematician’s perspective: a commentary on Chapter 9.- Chapter 11. How to teach and assess whole number arithmetic: some international perspectives.- Chapter 12. How to teach and assess whole number arithmetic: a commentary on Chapter 11.- Chapter 13. Connecting whole number arithmetic foundations to other parts of mathematics: structure and structuring activity.- Chapter 14. Structuring structural awareness: a commentary on Chapter 13. Part III.- Panels.- Chapter 15. Panel on tradition in whole number arithmetic.- Chapter 16.- Panel on special needs in research and instruction in whole number arithmetic.- Chapter 17. Panel on professional development models for whole number aritmetic in primary mathematics teacher education: a cross-cultural overview.- Part IV.- Plenary presentations.- Chapter 18. The theory of school arithmetic: whole numbers.- Chapter 19. Quantities, numbers, number names and the real number.- Chapter 20. Low numeracy: from brain to education.- Part V. Appendices.