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The book is based on the recently held Symposium on mathematics and its connections to the arts and sciences, namely the second Mathematics and its Connections to the Arts and Sciences (MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collection of interdisciplinary research initiatives undertaken by mathematics educators with implications for practitioners concerned with teaching and learning processes. The papers cover a wide genre of research domains within mathematics education (cognition, modelling, problem solving, teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technological initiatives and research related to science education). The major interdisciplinary themes of the papers in this book are:
1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting?
2. How can the intricate connections between mathematics and physics be used to design and research interdisciplinary activities in schools and the university?
3. How can research within the ethnomathematics domain of mathematics education be linked to critical mathematics education and interdisciplinary projects involving mathematics, art and culture?
4. How can the push for mathematical and statistical literacy be connected to other subjects in the school curricula and emphasized via interdisciplinary activities?
5. What are concrete examples of classroom experiments with empirical data that demonstrate new and unusual connections/relations between mathematics, arts and the sciences with implications for pedagogy?
6. What is the role of technology and new ICT interfaces in linking communities of learners in interdisciplinary activities involving problem solving? The book is an important contribution to the literature on educational initiatives in interdisciplinary education increasing vital for emerging professions of the 21st century.
Chapter 1. Interdisciplinarity in Mathematics, Science and Arts: State of the Art; Bharath Sriraman, Claus Michelsen, Astrid Beckmann & Viktor Freiman
Plenary Papers
Chapter 2. Mathematical Modeling: Linking Mathematics, Science and Arts in the Primary Curriculum; Lyn D. English
Chapter 3. Learning Mathematics Through Applications by Emergent Modeling: The Case of Slope and Velocity; Michiel Doorman & Koeno Gravemeijer
Chapter 4. The Decorative Impulse: Ethnomathematics and Tlingit Basketry; Swapna Mukhopadhyay
Chapter 5. Mathematics Education Research Embracing Arts and Sciences; Norma Presmeg
Chapter 6. The Geometry of 17th Century Dutch Perspective Boxes; Claus Jensen
Chapter 7. The Arithmetic Mean and Car Differential; Damjan Kobal
Chapter 8. Graph Theory as a Method of Improving Chemistry and Mathematics Curricula; Franka Miriam Brückler, Vladimir Sliskoic
Chapter 9. Mathematical Paradoxes as Pathways into Beliefs and Polymathy; Bharath Sriraman
Chapter 10. Mass Killings: The Communication of Outrage; Brian Greer
Chapter 11. “Good Theory” for “Good Practice” and Vice Versa in the Combination of Science, Art and Teaching; Herbert Gerstberger
Chapter 12. Model Eliciting Activities Revisited – A Report from a Case Study of the Penalty Throw Problem; Steffen M. Iversen
Chapter 13. Challenges for Interdisciplinary Teaching of Mathematics and the Sciences in Upper Secondary School; Stinne Hørup Hansen
Chapter 14. Fermat Meets Pythagoras; Tibio Hoefer
Chapter 15. Mathematical Literacy - Through Scientific Themes and Methods; Astrid Beckmann
Chapter 16. Interactive Modeling in Virtual Space: Objects of Concrete Art; Heinz Schumann
Chapter 17. Building a Virtual Learning Community of Problem Solvers: Example of CASMI Community; Viktor Freiman, Nicole Little-Pitre, Dominic Manuel
Chapter 18. Visualization and Understanding in Mathematics; Jessica Carter
Chapter 19. Mathematical Constructs in the Physical Reality; Gesche Pospiech
Chapter 20. Using Mathematics and Statistics to Analyze Who Are the Great Sluggers in Baseball; Randy Taylor & Steve Keresky
Chapter 21. Giving Sense to the Math Formula; Marina Rugej, Tine Goletz
Chapter 22. A Cultural Visit in Mathematics Education; Annica Andersson
Chapter 23. The Infinite in Sciences and Arts; Wolfgang Mueckenheim
Chapter 24. Promoting Students' Interests in Mathematics and Science Through Interdisciplinary Instruction; Claus Michelsen
Chapter 25. Multidisciplinary Projects in Upper Secondary School: New Roles for Mathematicians?; Mette Andresen & Lene Linderskov
Chapter 26. Cooperation Between Mathematics and Physics Teaching – The Case of Horizontal Launch; Tine Golež