Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

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Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller

Transcript of Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Page 1: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Dynamic Mathematics on

Tablets and PCs

Matthias Ehmann

Carsten Miller

Page 2: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 3: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 4: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

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.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 6: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 7: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 8: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 9: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 10: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Brave New World?

Dynamic Mathematics on

Tablets and PCs

Page 11: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

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.

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.

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.

Documentation

• sketches, conjectures

and results

• „deceleration“

• internalization

Dynamic Mathematics on

Tablets and PCs

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„Thales“ Theorem

• gestures

• measurement

• conjectures

Dynamic Mathematics on

Tablets and PCs

Page 16: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

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.

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.

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.

Example „Reflexion“

• constructing directly

• gestures as tools

• conjectures

Dynamic Mathematics on

Tablets and PCs

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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.

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.

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.

Matthias Ehmann

Carsten Miller

http://

sketchometry.org

Page 24: Dynamic Mathematics on Tablets and PCs Matthias Ehmann Carsten Miller.

Dynamic Mathematics on

Tablets and PCs

Matthias Ehmann

Carsten Miller

http://

sketchometry.org