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Teaching CAD Using Geogebra: Practical Approach and Examples

This presentation by Francisco Pérez explores the use of Geogebra in teaching Computer-Aided Design (CAD), highlighting its benefits, practical applications, and examples. The session covers key concepts such as NURBS curves, Bezier curves, and geometric commands crucial for CAD. The content delves into the historical evolution of CAD tools, emphasizing the importance of understanding CAD algorithms alongside using commercial programs. Discover how combining CAD with Geogebra enhances the learning experience, promotes active engagement, and fosters a deeper understanding of CAD principles. Explore how Geogebra facilitates graphical and analytical algorithms step-by-step and reinforces the fundamentals of CAD through practical examples.

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Teaching CAD Using Geogebra: Practical Approach and Examples

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  1. Teaching Computer Aided Design with the use of Geogebra Francisco Pérez Universidad Politécnica de Madrid. Spain

  2. Contents • Presentation • Introduction • The discipline of CAD • Why Geogebra? • Examples • Conclusions Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  3. CAD (Comp. Geometry) Technical Drawing Basic CAD Descriptive Geometry Presentation • Francisco Pérez Arribas • Naval Architecture School. Technical University Madrid • Technical Drawing: Euclidean Geometry (160 students) • http://debin.etsin.upm.es/~geometria/ • CAD (Computer Aided Design) (<10 students) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

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

  5. Bezier, B-Splines, NURBS curves: properties Geog. • Algorithms GeoGebra • Surfaces CAD programs • Why? Develop specific applications Introduction (II) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  6. The discipline of CAD • 1962 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 Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  7. Why Geogebra? (I) • Algorithms graphically and analytically • Free • Step by step Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  8. Why Geogebra? (II) • Geometric commands important for CAD Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  9. Examples (I) • NURBS (Non Uniform Rational B-splines): algebraically • NURBS (Nobody Understand Rational B-splines) Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  10. Examples (II) • Conics as NURBS Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions • Projective geometry

  11. Conclusions • 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 Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

  12. Thankyou! Thank you! Presentation Introduction The discipline of CAD Why GeoGebra? Examples Conclusions

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