CADGME conference, Linz. JULY /12 TEACHING COMPUTER AIDED DESIGN WITH THE USE OF DYNAMIC GEOMETRY Francisco Pérez Universidad Politécnica de Madrid. Spain

CADGME conference, Linz. JULY /12 Introduction Geometry at university level The discipline of CAD Why Geogebra? Examples Conclusions Contents Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

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

CADGME conference, Linz. JULY /12 Introduction (II) Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions Bezier, B-Splines, NURBS curves: properties DGS. Algorithms DGS Surfaces CAD programs Why? Develop specific applications

CADGME conference, Linz. JULY /12 Geometry contents very different Geometry contents reduced CAD: not only buttons, but algorithms Shipyard: CAD user, CAD application developer DGS: multimedia contents DGS shows to be an attractive and effective way to develop spatial abilities Geometry at university level Technical Drawing Basic CAD Descriptive Geometry CAD (Comp. Geometry) Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME 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 Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 Algorithms graphically and analytically Free Step by step Why Geogebra? (I) Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 Geometric commands important for CAD Why Geogebra? (II) Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 NURBS (Non Uniform Rational B-splines): algebraically NURBS (Nobody Understand Rational B-splines) Examples (I) Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 Conics as NURBS Examples (II) Projective geometry Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 DGS: understanding algorithms bellow CAD programs DGS: 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+DGS = positive for developers and programmers Conclusions Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions

CADGME conference, Linz. JULY /12 Thank you! Thank you! Introduction Geometry at University level The discipline of CAD Why Geogebra? Examples Conclusions