Creating a MathCityMap task is too difficult and time-consuming? In this article we´ll introduce you to our tool “task-wizard”, which enables you to create tasks with a few clicks. In the following we´ll explain, how to use the “task-wizard”.

In all cities exist similar objects, which provide many possibilities for outdoor mathematics. For those objects, e.g. the gradient of a ramp or the mass of a cuboid stone, we prepared standardized templates in our web portal. Altogether, we arranged twenty variegated templates for the themes combinatorics, algebra (functions) and geometry.

To create a new task with our wizard, you only have to choose one of the given templates and put in a picture of the object and your measured values. As the wizard generates the sample solution and the hints (partly with pictures) automatically, the tool allows you to create a task with only a few clicks.

Step-by-step instruction:

  1. Open the option „New task” in the MathCityMap portal
  2. Click on the option „Wizard“.
  3. Choose your favoured „Wizard-task” (e.g. velocity – escalator – velocity in m/s) and fill in your measured values.
  4. Upload a picture for your task and define the geolocation, Done!

Have fun!

The task of the week is back! Today we present you a task, which was developed during a teacher training at the Georg-Büchner-Gymnasium in Bad Vilbel near Frankfurt.

Next to the schoolyard we found this interesting sculpture of a water bottle. Immediately we wanted to ascertain, how many litres of water the bottle would contain. For the task “Volume of the bottle” we assume that the artwork has a wall thickness of 3 cm.

How the volume of the bottle can be ascertained?

For the modelling we divide the artwork in a frustum of a cone and a circular cylinder. We look on the object as compounded solid.

What´s the aim of the task?

The complexity of the task is to find a useful mathematic model for the object, which is a fitting transfer of the reality and is calculable with a manageable time exposure all at once. To solve the problem, you have to find a compromise between mathematical precision and practicability. Hence the task is a good example for a lot of modelling problems.

MathCityMap was honoured by the German competition “Land of Ideas”! The projects of the ten award winners are currently presented in a branch of the Deutsche Bank in Wiesbaden.

Next to the exhibition we created two math trails in Wiesbaden. The trail “Land der Ideen WI-kurz” is recommended for students from the sixth grade. To solve the tasks you have to discover the environment around the Marktkirche of Wiesbaden through accurate observing, measuring and counting. For users from the ninth grade we prepared the trail “Land der Ideen WI-lang”.

Check out our new MathCityMap trails in Wiesbaden. Have fun!

More posts about the “Land of Ideas” award:
MathCityMap is one of the Landmarks 2019
“Land of Ideas“ Team visits MathCityMap