Description
Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field.
An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include:
- the content domains of arithmetic, geometry, algebra, statistics, and probability;
- the mathematical processes of proving and modeling;
- teaching and learning at specific age levels from early years to university;
- teacher education, teaching and classroom practices;
- special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history;
- theoretical perspectives and comparative approaches in mathematics education research.
This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.
Table of Contents
Foreword
Preface
The European Society for Research in Mathematics Education: Introduction by its former presidents
Ferdinando Arzarello, Paolo Boero, Viviane Durand-Guerrier and Barbara Jaworski
Chapter 1. From geometrical thinking to geometrical working competencies
Alain Kuzniak, Philippe R. Richard, Paraskevi Michael-Chrysanthou
Chapter 2. Number sense in teaching and learning arithmetic
Sebastian Rezat, Lisser Rye Ejersbo
Chapter 3. Algebraic thinking
Jeremy Hodgen, Reinhard Oldenburg, Heidi Strømskag
Chapter 4. Research on probability and statistics education: trends and directions
Arthur Bakker, Corinne Hahn, Sibel Kazak, Dave Pratt
Chapter 5. Research on university mathematics education
Carl Winsløw, Ghislaine Gueudet, Reinhard Hochmuth, Elena Nardi
Chapter 6. Argumentation and proof
M. Alessandra Mariotti, Viviane Durand-Guerrier, Gabriel J. Stylianides
Chapter 7. Theory-practice relations in research on applications and modelling
Morten Blomhøj, Jonas Bergman Ärlebäck
Chapter 8. Early years mathematics
Esther S. Levenson, Maria G. Bartolini Bussi, Ingvald Erfjord
Chapter 9. Mathematical potential, creativity and talent
Demetra Pitta-Pantazi, Roza Leikin
Chapter 10. Affect and mathematical thinking: Exploring developments, trends, and future directions
Markku S. Hannula, Marilena Pantziara, Pietro Di Martino
Chapter 11. Technology and resources in mathematics education
Jana Trgalová, Alison Clark-Wilson, Hans-Georg Weigand
Chapter 12. Classroom practice and teachers’ knowledge, beliefs, and identity
Jeppe Skott, Reidar Mosvold, Charalampos Sakonidis
Chapter 13. Mathematics teacher education and professional development
Alena Hošpesová, José Carrillo, Leonor Santos
Chapter 14. Mathematics education and language: Lessons and directions from two decades of research
Núria Planas, Candia Morgan, Marcus Schütte
Chapter 15. Diversity in mathematics education
Guida de Abreu, Núria Gorgorió, Lisa Björklund Boistrup
Chapter 16. Comparative studies in mathematics education
Eva Jablonka, Paul Andrews, David Clarke, Constantinos Xenofontos
Chapter 17. History and mathematics education
Uffe Thomas Jankvist, Jan van Maanen
Chapter 18. Theoretical perspectives and approaches in mathematics education research
Ivy Kidron, Marianna Bosch, John Monaghan, Hanna Palmér
Chapter 19. ERME as a Group: Questions to mould its identity
Marcelo C. Borba
Chapter 20. Communication, cooperation, and collaboration: ERME’s magnificent experiment
Norma Presmeg
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