Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.
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Transcript of Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.
![Page 1: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/1.jpg)
Dynamic Mathematics on
Tablets and PCs
Matthias Ehmann
Carsten Miller
![Page 2: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/2.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 3: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/3.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 4: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/4.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
Dynabook:
A personal computer
for children of all ages
Alan Kay
![Page 5: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/5.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 6: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/6.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 7: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/7.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 8: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/8.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 9: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/9.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 10: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/10.jpg)
Brave New World?
Dynamic Mathematics on
Tablets and PCs
![Page 11: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/11.jpg)
Example “Circumcircle“
• triangle
• circle
• midpoint
• perpendicular
• intersection
Dynamic Mathematics on
Tablets and PCs
![Page 12: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/12.jpg)
Sketchometry at
School
• working with tablets
• sketching on electronic
boards
• constructing with PCs
Dynamic Mathematics on
Tablets and PCs
![Page 13: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/13.jpg)
Working with Tablets
• constructing directly
• working in the classroom
• taking notes
Dynamic Mathematics on
Tablets and PCs
![Page 14: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/14.jpg)
Documentation
• sketches, conjectures
and results
• „deceleration“
• internalization
Dynamic Mathematics on
Tablets and PCs
![Page 15: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/15.jpg)
„Thales“ Theorem
• gestures
• measurement
• conjectures
Dynamic Mathematics on
Tablets and PCs
![Page 16: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/16.jpg)
Sketching on
Electronic Boards
• easy & fast sketching
• demonstrating
Dynamic Mathematics on
Tablets and PCs
![Page 17: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/17.jpg)
Example„Tangent“
• graph
• glider
• tangent with gesture
Dynamic Mathematics on
Tablets and PCs
![Page 18: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/18.jpg)
Constructing with PCs
• preparing lessons
• traditional use in PC
pools
Dynamic Mathematics on
Tablets and PCs
![Page 19: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/19.jpg)
Example „Reflexion“
• constructing directly
• gestures as tools
• conjectures
Dynamic Mathematics on
Tablets and PCs
![Page 20: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/20.jpg)
Electronic School Books
• interactive content
• offline
• update
Dynamic Mathematics on
Tablets and PCs
![Page 21: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/21.jpg)
I - You - We /
Think - Pair - Share
• experiment & discover
• cooparate & collaborate
• present & share
Dynamic Mathematics on
Tablets and PCs
![Page 22: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/22.jpg)
Conclusion
• additional benefit
• interaction
• learning in the classroom
Dynamic Mathematics on
Tablets and PCs
![Page 23: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/23.jpg)
Matthias Ehmann
Carsten Miller
http://
sketchometry.org
![Page 24: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.](https://reader038.fdocuments.us/reader038/viewer/2022103015/55162aeb550346a2308b5db7/html5/thumbnails/24.jpg)
Dynamic Mathematics on
Tablets and PCs
Matthias Ehmann
Carsten Miller
http://
sketchometry.org