GEOGEBRA conference, Linz. JULY 2009 1/12 Teaching Computer Aided Design with the use of Geogebra Francisco Pérez Universidad Politécnica de Madrid. Spain.

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Presentation transcript:

GEOGEBRA conference, Linz. JULY /12 Teaching Computer Aided Design with the use of Geogebra Francisco Pérez Universidad Politécnica de Madrid. Spain

GEOGEBRA conference, Linz. JULY /12 Presentation Introduction The discipline of CAD Why Geogebra? Examples Conclusions Contents Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Francisco Pérez Arribas Naval Architecture School. Technical University Madrid Technical Drawing: Euclidean Geometry (160 students) CAD (Computer Aided Design) (<10 students) Presentation Technical Drawing Basic CAD Descriptive Geometry CAD (Comp. Geometry) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 CAD with commercial programs + Business, - Teaching Little knowledge on how CAD works Consolidate theoretical concepts and acquire practice Introduction (I) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Introduction (II) Bezier, B-Splines, NURBS curves: properties Geog. Algorithms GeoGebra Surfaces CAD programs Why? Develop specific applications Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY / Sketchpad 60’s Bézier, Casteljau 1985 NURBS software CAD is taught very differently: programs, geometric,… CAD can not exist without commercial CAD programs Capacity to use CAD tools, and develop programs CAD algorithms will be the same, not the programs The discipline of CAD Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Algorithms graphically and analytically Free Step by step Why Geogebra? (I) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Geometric commands important for CAD Why Geogebra? (II) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 NURBS (Non Uniform Rational B-splines): algebraically NURBS (Nobody Understand Rational B-splines) Examples (I) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Conics as NURBS Examples (II) Projective geometry Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Geo: understanding algorithms bellow CAD programs Geo: active learning, not push buttons, not black boxes Classes as laboratories More time on class preparation, more time for students CAD programs are necessary CAD+Geog.=positive for developers and programmers Conclusions Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

GEOGEBRA conference, Linz. JULY /12 Thank you! Thank you! Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions