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Beliefs and Mathematics is a Festschrift honoring the contributions of Günter Törner to mathematics education and mathematics. Mathematics Education as a legitimate area of research emerged from the initiatives of well known mathematicians of the last century such as Felix Klein and Hans Freudenthal. Today there is an increasing schism between researchers in mathematics education and those in mathematics as evidenced in the Math wars in the U.S and other parts of the world. Günter Törner represents an international voice of reason, well respected and known in both groups, one who has successfully bridged and worked in both domains for three decades. His contributions in the domain of beliefs theory are well known and acknowledged.
The articles in this book are written by many prominent researchers in the area of mathematics education, several of whom are editors of leading journals in the field and have been at the helm of cutting edge advances in research and practice. The contents cover a wide spectrum of research, teaching and learning issues that are relevant for anyone interested in mathematics education and its multifaceted nature of research. The book as a whole also conveys the beauty and relevance of mathematics in societies around the world. It is a must read for anyone interested in mathematics education.
Preface; Bharath Sriraman.
Chapter 1. Pictures of the Projective Plane; Benno Artmann.
Chapter 2. From Morphisms to Matrices; Klaus Hoechsmann.
Chapter 3. A Theory of Teaching and Its Applications; Alan H. Schoenfeld.
Chapter 4. Beliefs: What Lies Behind the Mirror? Gilah C. Leder.
Chapter 5. Political Issues in Mathematics Education; Ubiratan D'Ambrosio.
Chapter 6. Snapshots from the 1960s: Tensions and Synergies in the Emerging of New Trends in Mathematics Education; Fulvia Furinghetti.
Chapter 7. Matrizen Als Diagramme; Lisa Hefendehl-Hebeker.
Chapter 8. Mathematizing Definitions of Beliefs; Norma Presmeg.
Chapter 9. Integrating Oral Presentation into Mathematics Teaching and Learning: An Exploratory Study with Singapore Secondary Students; Lianghuo Fan and Shu Mei Yeo.
Chapter 10. The Role of Beliefs on Future Teacher's Professional Knowledge; Gabriele Kaiser, Björn Schwarz, and Sebastian Krackowitz.
Chapter 11. Girls' Beliefs about the Learning of Mathematics; Guðbjörg Pálsdóttir.
Chapter 12. Modelling in School: Chances and Obstacles; Hans-Wolfgang Henn.
Chapter 13. Complex Systems in the Elementary and Middle School Mathematics Curriculum: A Focus on Modeling; Lyn D. English.
Chapter 14. Attitude Toward Mathematics: Overcoming the Positive/Negative Dichotomy; Rosetta Zan and Pietro Di Martino.
Chapter 15. Subject-Related Education Management: Framework of a Professional Development Program and First Research; Konrad Krainer and Florian H. Müller.
Chapter 16. Integrating Intuition: The Role of Concept Image and Concept Definition for Students' Learning of Integral Calculus; Bettina Rösken and Katrin Rolka.