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112 PANORAMA PROBLEM SOLVING Already in the last section the ‘actual task’ of geometry and computer science was addressed: the described elements are a tool for the solution of problems usually of a technical nature. On the basis of a skilful modelling of the problem (choice of a spare body/data structure) the problem is analyzed (drawing auxiliary CONCLUSION The article was intended to clarify the high inherent structural similarity of the concepts of geometry and computer science by some examples. This similarity is not by any means coincidental, as might be clear to every expert reader. The steps for solving a problem apply to both disciplines equally: Modelling the problem Choice of a suitable representation Fragmentation into smaller, perhaps already solved sub-problems Development of new approaches Compilation to a final solution CONSEQUENCES FOR THE SCHOOL Geometry lessons develop brain structures and the understanding of concepts, which the future computer scientist needs. Geometry is independent of current computer systems and the programming languages now used and/or development environments. Euclidean geometry was developed in the course of many centuries in contact with many cultures of the antiquity. It has existed for at least 2000 years in its abstract form. The favourite operating systems and programming languages of today are 30 to 40 years young and still being developed with tremendous speed. lines and geometrical partial figures, splitting up into smaller problems) and then the solution is developed in a creative process. The subject of problem solving is sophisticated and beyond a rigid system. But the strategies of finding a solution are not only similar for geometry and computer science but the same. Algorithms taught in school in the 80's were replaced by the object oriented methods, which are already outdated now by current developments in computer science. Nevertheless a third year student of the secondary school receiving proper training in geometry will be able to understand even more abstract concepts of computer science in ten years. Good training in Euclidean geometry helps our students more than specializing in current trends in computer science, which are already outdated when introduced at school. Please do not mistake me: I am not arguing against modern and interesting
computer science lessons. I would like to warn however of too strong an abstraction in computer science lessons before the sixth grade since classical geometry can produce the same effects with more illustrative examples—independent of any operating system or applications! Ideally the curricula of geometry (3rd to 5th year secondary, depending on the system) ABOUT THE AUTHOR The Author currently works with the <strong>European</strong> <strong>School</strong> at Karlsruhe as a teacher of maths, physics and ICT. Previously he and computer science (6th year secondary) should complement each other: for the computer science teacher it should be easy then to introduce the basic and advanced concepts of his/her subject. The syllabi of the 80s stressed algorithms, t h e s y l l a b i o f t h e l a t e 9 0 s o b j e c t orientation... What will we read in ten years in our computer science curricula? worked for almost ten years in grammar schools in Bavaria. Markus Sperl PANORAMA 113
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1/2010 N° 234 ALICANTE BERGEN N.H.
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4 EDITORIAL BY RICHARD GALVIN, DIRE
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6 VORWORT VON RICHARD GALVIN, DIREK
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12 PANORAMA ICT IN ADMINISTRATION:
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16 Alison Yun is a teacher in the p
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24 PANORAMA Digital Camera - images
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26 Richard Mann is a geography teac
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30 PANORAMA learning. The learning
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32 Project-based teaching is one wa
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34 PANORAMA the pupil identifies wi
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36 PANORAMA important information a
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38 THE IMPACT OF INTERACTIVE WHITE
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40 PANORAMA INTRODUCTION January is
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48 PANORAMA References: Armstrong,
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50 Roger Blamire is Senior Manager
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52 abc PANORAMA echoes this finding
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54 PANORAMA study’s 209 866 prima
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58 PANORAMA on the entire education
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60 PANORAMA HOW TO USE ICT IN YOUR
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Page 66 and 67: 64 Annick Fauconnier est enseignant
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Page 74 and 75: 72 PANORAMA CREATING MP3 FILES TO E
Page 76 and 77: 74 PANORAMA to do is to fire up you
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Page 88 and 89: 86 Samantha Malmbergs is a primary
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Page 128 and 129: 126 PANORAMA In my own context the
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Page 140 and 141: 138 Charles Nihoul est professeur d
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Page 156 and 157: 154 PANORAMA The objectives set for
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