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Olga Caprotti and Mika Seppälä
                                    Department of Mathematics and Statistics
                                            University of Helsinki




                                                         JEM – Joining Educational Mathematics, http://www.jem-thematic.net
6th EDEN Open Classroom, Stockholm 2007
Meet our avatars

                   Akim Falta                                     Sybil Nemeth




                                6th EDEN Open Classroom, Stockholm 2007          2
Education in Virtual Worlds
• VW are social platforms
• empathic learning
• experential learning:
  – real-life pretend situations
  – practice without consequences

           Are virtual realities really suitable
       for teaching and learning mathematics?


                 6th EDEN Open Classroom, Stockholm 2007   3
Virtual Worlds
                 • Second Life
                       •   privately owned
                       •   SL viewer is open source
                       •   real economy
                       •   Institutions and
                           Organizations

                 • OpenSimulator
                 • Open Croquet
                   – Ancient Spaces
                 • There.com
                 • Protosphere


                     6th EDEN Open Classroom, Stockholm 2007   4
Benefits of SL   • 3D browsing
                   – gopher, mosaic, mozilla
                 • Simulation environment
                   – objects obey laws of
                     physics
                   – artificial life (swarms
                     and flocks)
                   – Ecosystems (terminus)
                 • 3D modeling platform
                   – primitives
                   – scripts




                      6th EDEN Open Classroom, Stockholm 2007   5
Current limitations of SL
                            • no direct HTML, no MathML
                            • Powerpoints and PDF
                              – have to be converted to bitmaps
                              – can be uploaded at a cost
                            • streaming media is limited (1/parcel)
                            • no application sharing




                                6th EDEN Open Classroom, Stockholm 2007   6
Mathematics in SL
                    • few hits (16)
                    • some colleges
                    • some sandboxes
                    • exhibitions




                                       6th EDEN Open Classroom, Stockholm 2007   7
Exhibitions

              Fractal Gallery




              Lars Ahlfors
              Centennial
              Celebration

              Posters: a virtual version of
              those hanging at the
              department



                                        6th EDEN Open Classroom, Stockholm 2007   8
Seminars
           Mixed reality events

           New and Emerging
               Technologies in
               Mathematics
               Education,
           Helsinki, 17-18 August 2007




           Office meeting space
           http://slurl.com/secondlif
           e/EdTech/68/62/39

           JEM & WebALT
           presentation boards

                                  6th EDEN Open Classroom, Stockholm 2007   9
JEM office space in SL
• JEM Exhibition and presentation boards
  – display numbered images (10 L$/image)
  – a slideshow (25 slides: 250 L$ ≈ 1 $ )
• Handouts
  – notecards: e.g. instructions on how to reach a web
    site
  – in-world items, e.g. a laptop, or a t-shirt
  – scripts: opens a URL in a browser, leave a message
• Sitting areas
                  6th EDEN Open Classroom, Stockholm 2007   10
Learning Activitities   Lectures
                        ASCII typesetting
                        no shared desktop
                        Slideshows still
                             cumbersome




                         Educational gaming
                         Experiental learning
                                      6th EDEN Open Classroom, Stockholm 2007   11
Scavenger hunts

• Virtual, in SL:
   – Instructions are distributed in a notecard
   – Participants look for hidden objects or carry out tasks
   – Prizes


JEM SL treasure hunt:
   – Instructions are delivered upon answering a MapleTA
     practice question correctly
   – Mixed browser-SL client

                    6th EDEN Open Classroom, Stockholm 2007    12
Educational Maths Games
                          WebALT        MapleTA
                            practice assignment
                            in which feedback is
                            given only if answer
                            is correct
                          Deliver instructions of
                            the scavenger hunt
                            using SLURLs in
                            feedbacks




                                  6th EDEN Open Classroom, Stockholm 2007   13
Welcome to the JEM SL treasure hunt!                                      •You may start anywhere but keep the notecard numbers in the
                                                                          same order as the question who gave the instruction.
                                                                          •Each person will be given 10L to cover pictures you will be taking.
GOAL                                                                      If you decide not to play or did not use the money please return it
In this treasure hunt, players will collect images and information to     for use with future projects.
prove where they have been in SL according to instructions that are       •Be sure to name the notecard with quot;your namequot;- JEM hunt.
provided if they can complete correctly a mathematical question.
Each player has to compile what he/she has collected in notecard          TIPS
form and return the notecard to Sybil Nemeth. The instructions will       PLACING PICTURES/LANDMARKS/NOTECARDS INSIDE A NOTECARD
be displayed when clicking quot;View Detailsquot; after grading the answer.       •Pictures: open your note card so you can read it. Open your
TIME LIMIT                                                                inventory and drag the picture onto the open notecard it should
Starts: Wed. 6PM EET --- Ends: Sat. 6PM EET                               attach itself.
Pizes Awarded: Mon. 6:30PM EET Winners will not be awarded or             •Landmarks: Open same as above, find the landmark in the land
notified till this time.                                                  mark folder and drag it into the notecard.
ITEMS NEEDED TO PLAY                                                      •Notecards : Open the scavenger hunt notecard find the notecard
10L$ needed for pictures which is supplied by Sybil Nemeth                you want to transfer into the other notecard but do not open this
HOW TO WIN GRAND PRIZE                                                    one. Drag it onto the open notecard. It should work just like the
Be the first turn in a notecard containing all the correct information.   above did.
PRIZE                                                                     REVIEW ON PHOTO TAKING
Do not really know at this point. Linden dollars maybe or SL items like   When the Snapshot previewer comes up be sure the quot;upload a
the JEM t-shirt.                                                          snapshotquot; is checked. This will put it in your inventory under
RULES                                                                     pictures. If you save to hard drive you will have to upload it back
•Be honest no sharing information.                                        into SL which will place it in the textures folder.
•Use what you know about navigating in SL to find what you are            Always rename your photos or you will have bunch that just say
looking for.                                                              snapshot. You rename them by finding them in your inventory
•All entries must be submitted in notecard form with all info             right click/rename.
contained in a notecard and numbered.




                                                 6th EDEN Open Classroom, Stockholm 2007                                               14
Experiental Mathematics   Guided explorations of
                          visualizations of abstract
                          mathematical objects
                          and constructions

                          Textual notecards
                           stimulate thinking
                           reference resources




                                                6th EDEN Open Classroom, Stockholm 2007   15
Learning Mathematics   As a by-product of being a
                          SL citizen:
                          – simulations: economic
                            transactions are real
                          – operations in 3D: rotation,
                            translation, scaling etc
                          – Vector calculus
                          – mathematical scripting
                            (e.g. rotations)




6th EDEN Open Classroom, Stockholm 2007                   16
Conclusions   • Museum/exhibits/exploratoriums work well
              • Design of engaging 3D learning activity in SL
                focusing on mathematics and not on SL is
                hard
              • Socializing aspects have pros and cons
              • Large potential for
                – team work
                – discussions
                – problem solving activities



                            6th EDEN Open Classroom, Stockholm 2007   17

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Mathematics Education in Second Life

  • 1. Olga Caprotti and Mika Seppälä Department of Mathematics and Statistics University of Helsinki JEM – Joining Educational Mathematics, http://www.jem-thematic.net 6th EDEN Open Classroom, Stockholm 2007
  • 2. Meet our avatars Akim Falta Sybil Nemeth 6th EDEN Open Classroom, Stockholm 2007 2
  • 3. Education in Virtual Worlds • VW are social platforms • empathic learning • experential learning: – real-life pretend situations – practice without consequences Are virtual realities really suitable for teaching and learning mathematics? 6th EDEN Open Classroom, Stockholm 2007 3
  • 4. Virtual Worlds • Second Life • privately owned • SL viewer is open source • real economy • Institutions and Organizations • OpenSimulator • Open Croquet – Ancient Spaces • There.com • Protosphere 6th EDEN Open Classroom, Stockholm 2007 4
  • 5. Benefits of SL • 3D browsing – gopher, mosaic, mozilla • Simulation environment – objects obey laws of physics – artificial life (swarms and flocks) – Ecosystems (terminus) • 3D modeling platform – primitives – scripts 6th EDEN Open Classroom, Stockholm 2007 5
  • 6. Current limitations of SL • no direct HTML, no MathML • Powerpoints and PDF – have to be converted to bitmaps – can be uploaded at a cost • streaming media is limited (1/parcel) • no application sharing 6th EDEN Open Classroom, Stockholm 2007 6
  • 7. Mathematics in SL • few hits (16) • some colleges • some sandboxes • exhibitions 6th EDEN Open Classroom, Stockholm 2007 7
  • 8. Exhibitions Fractal Gallery Lars Ahlfors Centennial Celebration Posters: a virtual version of those hanging at the department 6th EDEN Open Classroom, Stockholm 2007 8
  • 9. Seminars Mixed reality events New and Emerging Technologies in Mathematics Education, Helsinki, 17-18 August 2007 Office meeting space http://slurl.com/secondlif e/EdTech/68/62/39 JEM & WebALT presentation boards 6th EDEN Open Classroom, Stockholm 2007 9
  • 10. JEM office space in SL • JEM Exhibition and presentation boards – display numbered images (10 L$/image) – a slideshow (25 slides: 250 L$ ≈ 1 $ ) • Handouts – notecards: e.g. instructions on how to reach a web site – in-world items, e.g. a laptop, or a t-shirt – scripts: opens a URL in a browser, leave a message • Sitting areas 6th EDEN Open Classroom, Stockholm 2007 10
  • 11. Learning Activitities Lectures ASCII typesetting no shared desktop Slideshows still cumbersome Educational gaming Experiental learning 6th EDEN Open Classroom, Stockholm 2007 11
  • 12. Scavenger hunts • Virtual, in SL: – Instructions are distributed in a notecard – Participants look for hidden objects or carry out tasks – Prizes JEM SL treasure hunt: – Instructions are delivered upon answering a MapleTA practice question correctly – Mixed browser-SL client 6th EDEN Open Classroom, Stockholm 2007 12
  • 13. Educational Maths Games WebALT MapleTA practice assignment in which feedback is given only if answer is correct Deliver instructions of the scavenger hunt using SLURLs in feedbacks 6th EDEN Open Classroom, Stockholm 2007 13
  • 14. Welcome to the JEM SL treasure hunt! •You may start anywhere but keep the notecard numbers in the same order as the question who gave the instruction. •Each person will be given 10L to cover pictures you will be taking. GOAL If you decide not to play or did not use the money please return it In this treasure hunt, players will collect images and information to for use with future projects. prove where they have been in SL according to instructions that are •Be sure to name the notecard with quot;your namequot;- JEM hunt. provided if they can complete correctly a mathematical question. Each player has to compile what he/she has collected in notecard TIPS form and return the notecard to Sybil Nemeth. The instructions will PLACING PICTURES/LANDMARKS/NOTECARDS INSIDE A NOTECARD be displayed when clicking quot;View Detailsquot; after grading the answer. •Pictures: open your note card so you can read it. Open your TIME LIMIT inventory and drag the picture onto the open notecard it should Starts: Wed. 6PM EET --- Ends: Sat. 6PM EET attach itself. Pizes Awarded: Mon. 6:30PM EET Winners will not be awarded or •Landmarks: Open same as above, find the landmark in the land notified till this time. mark folder and drag it into the notecard. ITEMS NEEDED TO PLAY •Notecards : Open the scavenger hunt notecard find the notecard 10L$ needed for pictures which is supplied by Sybil Nemeth you want to transfer into the other notecard but do not open this HOW TO WIN GRAND PRIZE one. Drag it onto the open notecard. It should work just like the Be the first turn in a notecard containing all the correct information. above did. PRIZE REVIEW ON PHOTO TAKING Do not really know at this point. Linden dollars maybe or SL items like When the Snapshot previewer comes up be sure the quot;upload a the JEM t-shirt. snapshotquot; is checked. This will put it in your inventory under RULES pictures. If you save to hard drive you will have to upload it back •Be honest no sharing information. into SL which will place it in the textures folder. •Use what you know about navigating in SL to find what you are Always rename your photos or you will have bunch that just say looking for. snapshot. You rename them by finding them in your inventory •All entries must be submitted in notecard form with all info right click/rename. contained in a notecard and numbered. 6th EDEN Open Classroom, Stockholm 2007 14
  • 15. Experiental Mathematics Guided explorations of visualizations of abstract mathematical objects and constructions Textual notecards  stimulate thinking  reference resources 6th EDEN Open Classroom, Stockholm 2007 15
  • 16. Learning Mathematics As a by-product of being a SL citizen: – simulations: economic transactions are real – operations in 3D: rotation, translation, scaling etc – Vector calculus – mathematical scripting (e.g. rotations) 6th EDEN Open Classroom, Stockholm 2007 16
  • 17. Conclusions • Museum/exhibits/exploratoriums work well • Design of engaging 3D learning activity in SL focusing on mathematics and not on SL is hard • Socializing aspects have pros and cons • Large potential for – team work – discussions – problem solving activities 6th EDEN Open Classroom, Stockholm 2007 17