1 / 31

In This Presentation …

In This Presentation …. Software in Math learning DALEST/Elica project Implemented applications Demonstrations. Solids with Solid Edges. The 1 st illustrations of polyhedra ever in the form of solid edges Readers can see through to the structure of the rear surface

elijah-erickson
Download Presentation

In This Presentation …

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. In This Presentation … • Software in Math learning • DALEST/Elica project • Implemented applications • Demonstrations

  2. Solids with Solid Edges • The 1st illustrations of polyhedra ever in the form of solid edges • Readers can see through to the structure ofthe rear surface • Illustrationsin pairs:modelswith solidfacesand solid edges • A new form of insightful geometricillustration Leonardo da Vinci’s “The Divine Proportion” (1509) Stereometry

  3. Stereometry Stereometry deals with the measurements of volumes of various solid figures: cylinder, circular cone, truncated cone, sphere, prisms, blades, wine casks. Pythagoreans – sphere and regular solids Platonists – pyramid, prism, cone and cylinder from Wikipedia Hands-on Activities

  4. Hands-on Activities With Solids Drawing solids Making paper models … or wooden Studying Solids

  5. First degree UFOconic encounter Traditional methods textbooks hand-made drawings real models Studying Solids Modern methods • on-line textbooks • 3D software, virtual models • interractive, dynamic content 3D Software

  6. 3D Software • A large amount of 3D software • Industry / Scientific • Artistic • Scientific / Educational • Educational 3D software • Virtualizing static content (ritualizing) • Interraction and manipulation • Animations, dynamic modification • Hundreds of microapplications DALEST/Elica

  7. DALEST Project • Acronym: Developing an Active LearningEnvironment for STereometry • Partners: Universities of Cyprus, Southampton, Lisbon, Sofia, Athens; N.K.M Netmasters and Cyprus Mathematics Teachers Association • Co-funded by the European Union under the Socrates Program, MINERVA, 2005 Selection.

  8. DALEST Objectives • To analyze the existing stereometry curricula and teachers’ requirements • To develop a dynamic 3D software and teaching scenarios for stereometry • To provide in-service training • To test the software and the teaching approaches in different schools and evaluate their effectiveness. Elica

  9. Elica Project • Acronym: Educational Logo Interface forCreative Activities • First steps: Initial development supported by a Grant Award by Best Practices in Education • Usage: In schools and universities all over the world (except for Antarctica)

  10. Elica Features • Free • Core language is a dialect of Logo • Natural Object-oriented Programming • 3D graphics and animations • Flexible, extendable • Suitable for building Microworlds • Already used to build educational software

  11. DALEST/Elica Project • DALEST: Two software streams • A monolith application Eucli3D • A set of separate Elica applications • Main Challenges • Unique problems • To rationalize use of computers • Attractive visualization

  12. Possible Elica Applications Playing Archimedes • Submerging solids in bath-tubes • Various shapes of solids • Various shapes of bath-tubes • Measuring water levels Bottle Factory • Designing bottles • Using basic/composite solids • Measuring (designing) volume • Ideas about 20+ different applications • New ideas are added all the time • Ideas cover various topics: • Volumes of solids • 3D structures and space relations • Nets • Art and Nature • Four ideas implemented so far

  13. Possible Elica Applications Free-form Shadow • Solids on a table, light turned off • Guessing the solid by examining the silhouettes (skyline) • Table can be rotated Stereometry Puzzle • Structures of solids • Some measurements are given • Others should be guessed or calculated

  14. Cubix • A structure made of unit-size cubes. Users have to calculate the volume and the surface of the structure • Possible methods of solving: • calculation (counting) • splitting the structure into simpler structures • complementing the structure to a bigger structure • Functionalities • to rotate the structure • to color stucture elements

  15. Cubix Snapshot

  16. Cubix Problems

  17. Slider • An invisible 3D solid (cube, sphere, cone, ...) • Cutting with a magic plane, only the intersection becomes visible • By moving and rotating the cutting plane students are supposed to analyze the changes in the intersection and find out the solid

  18. Slider Snapshot

  19. Slider Conical Sections

  20. Stuffed Toys • A stuffed cube is ripped off • What net will come out when unfolded? • Two sets of toys: • simple white cubes • coloured toys of various shapes – cubes, round balls, rugby balls, sharp and soft octahedrons, eggs, pebbles, etc. • Animation of ripping off

  21. Stuffed Toys Snapshot

  22. Other Stuffed Toys and Nets

  23. Scissors • The true reverse problem of net folding • Available are three sets including ribbons • Based on Stuffed Toys • Animation of unfolding

  24. Scissors Snapshot

  25. Ribbons Set

More Related