Neumann Robert - Topics in mathematics

Authors : Neumann Robert - Baum Peter - Georg Karl-F. - Hansen Uwe - Hünig Markus - Labudde Klaus - Rosbigalle Rolf - Sigler Stephan
Title : Topics in mathematics for the 11th grade Based on teaching practices in Waldorf schools Analytical Geometry Projective Geometry Spherical Geometry Sequences and Limits
Year : 2011

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Preface. With this volume, Topics in Mathematics for the 11th Grade, the «Math Curriculum Initiative» work-group presents its most substantial production so far. The focal topic being projective geometry, it seemed reasonable to go into considerable detail here, especially since there is hardly any literature about teaching this topic. The few – but precious – existing texts are referenced in the articles. Aside from this it was a concern of the team to present a broad cross-section of the great variety of possible ways of handling the subject matter especially of this topic in the classroom. Thus one will find very diverse approaches in the various articles devoted to introducing projective geometry in the 11th Grade. They have resulted from the particular teaching situations as well as the personal experiences and leanings of the authors. They represent a broad spectrum of alternatives which should stimulate the reader ultimately to find his or her own way. In contrast, spherical geometry and trigonometry are frequently dealt with in the technical literature, whether in relation to geodesy, cartography or astronomy, so the emphasis here was on the choice of subject matter and its method of preparation. Analytic geometry is treated in many textbooks. For instruction in aWaldorf school many considerations arise relating to content or methodology for which there is no provision in these books, however. Thus, even those familiar with analytic geometry as customarily treated in schools will be able to discover in this volume relevant suggestions, interesting cross connections and unexpected approaches. A few articles containing background knowledge, little insights, or basic pedagogic observations round off the book. The authors, who have brought together their experiences with such commitment, hope that this book, too, will be able to provide beginners with assistance in getting started and experienced colleagues with stimuli for further work. I would like to express our warm thanks to Sebastian Labusch, who did a great deal of the wordprocessing and type-setting. Markus Hünig Mülheim an der Ruhr, Spring 2006. ...

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