dynamat materials from the austrian team andreas ulovec fakultät für mathematik universität wien...

DynaMATMaterials from the Austrian team

Andreas Ulovec

Fakultät für Mathematik

Universität Wien

This project has been funded with support from the European Commission in its Lifelong Learning Programme (510028-LLP-1-2010-1-IT-COMENIUS-CMP). This publication reflects the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Example: GeoCaching (1)

• What is GeoCaching?• Why use it in teaching mathematics?• How does GPS work?• Some concrete tasks with finding GeoCaches

Example: GeoCaching (2)

• Possible explanation using a 2D-model

Example: GeoCaching (3)

• Explaining the limits of the model

Example: GeoCaching (4)

• Interpreting data of a GeoCaching trip

Example: GeoCaching (5)

• Now where is the Cache?

Example: GeoCaching (6)

• Can ask more questions:• How much time did the trip take?• What distance was covered?• What was the average speed?

Example: Hiking in Tatras (1)

• That was our trip:

Example: Hiking in Tatras (2)

• What distance did we cover?• 21.1 km

• How long did we need?• Uphill: 4:05 hours• Downhill: 3:28 hours

• What was our average speed?• Uphill: 2.61 km/h• Downhill: 3.03 km/h

Example: Hiking in Tatras (3)

• Altitude profile

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Altitude profile (altitude-distance diagram)

Example: Hiking in Tatras (4)

• Distance-time diagram

0:00:00 0:29:59 0:59:59 1:29:59 1:59:59 2:29:59 2:59:59 3:29:59 3:59:590

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distance-time diagram