CAD08

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TEACHING COMPUTER AIDED DESIGN WITH THE USE
OF DYNAMIC GEOMETRY Francisco Pérez Universidad
Politécnica de Madrid. Spain
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Contents

• Introduction
• Geometry at university level
• The discipline of CAD
• Why Geogebra?
• Examples
• Conclusions

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Introduction (I)

• CAD with commercial programs
• Business, - Teaching
• Little knowledge on how CAD works
• Consolidate theoretical concepts and acquire
  practice

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Introduction (II)
Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Geometry at university level

• 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

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

• 1962 Sketchpad
• 60s 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

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Why Geogebra? (I)

• Algorithms graphically and analytically
• Free
• Step by step

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Why Geogebra? (II)

• Geometric commands important for CAD

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Examples (I)

• NURBS (Non Uniform Rational B-splines)
  algebraically
• NURBS (Nobody Understand Rational B-splines)

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Examples (II)

• Conics as NURBS

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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• Projective geometry

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Conclusions

• 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
• CADDGS positive for developers and programmers

Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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Thank you!
Thank you!
Introduction Geometry at University level The
discipline of CAD Why Geogebra? Examples Conclusio
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