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

0 2000 4000 6000 8000 10000 120000

200

400

600

800

1000

1200

1400

1600

1800

2000

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

2000

4000

6000

8000

10000

12000

distance-time diagram