Tag: Paderborn

MCM scores at GDMV conference in Paderborn

Author Simone JablonskiDate
EventsGeneralMath Trails

As part of the joint meeting of GDM and DMV in Paderborn from 05.03. – 09.03.2018, MathCityMap was presented in various ways. First of all, on 06.03. Matthias Ludwig spoke on the Erasmus + project MoMaTrE (Mobile Math Trails in Europe), in which the cooperation partners and goals were presented on an international level. On 08.03., Iwan Gurjanow presented his research results in the field of motivation and gamification (points and leaderboard) while running a math trail. In addition, Joerg Zender considered the Math Trail idea from the point of view of performance, which led to interesting discussions on 09.03.

A special highlight for the entire team is the prize which Daniel Birnbaum and Matthias Ludwig won at the poster session. On the poster, the future-oriented technology Augmented Reality was presented, as well as first ideas to use it in school and MCM.

During the entire conference, the participants had the opportunity to test a trail in the city center of Paderborn. Of course, we took the chance and ran the trail from the perspective of the task solver with lots of fun and ambition.

At this point, we want to thank Max Hoffmann and the students of the Pelizaeus-Gymnasium for creating the tasks! Likewise, we would like to thank all interested in the project for the exciting questions and discussions.

Task of the Week: Archway

Author Simone JablonskiDate
Task of the Week

In today’s Task of the Week, we would like to present a task from a MathTrail, which was developed within a project for talented students by the University of Paderborn in cooperation with the Paderborner Pelizaeus-Gymnasium. You can find more information here. We would like to present the selected task in a short interview with Max Hoffmann, member of the project. At this point, we would like to thank for the cooperation and the interview.

Task: Archway (task number: 1303)

Calculate the volume of the stones that create the archway! Give the solution in cubic meters. (Only the round part of the arc is meant).

How did you get the idea of ​​using this object in a task?

While searching for tasks for a mathematical walking tour through the beautiful Paderborn inner city, the students independently selected this archway near the Paderquelle. The first idea was to calculate the area of ​​the stones around the archway. I had the feeling that this kind of questioning was a typical task the students knew from their math books. After some thought, the suggestion came to modify the task so that the volume of the stones from which the archway is formed should be calculated.

What kind of mathematical activities and competences do you want to promote?

The task addresses modeling competencies (representation of the situation through two semicircles) and requires the selection and determination of appropriate measured variables. In terms of content, the known formulas for the circle are necessary for solving the problem.

Have you already processed the task with pupils or received feedback in other forms?

The task was developed by a small group and the other students of the project also solved the problem and liked it. The results of the first group were confirmed. In addition, the group presented the task at the final project event at the University of Paderborn and received positive feedback.