30.000 MCM-Tasks: A Happy New Year!

What better way to start the new year than with another milestone achieved for MathCityMap. We celebrate the year 2022 and the 30.000th task in the web portal! Our users were very active over the holidays and we can now be delighted with exactly 32.307 tasks in the portal. Our anniversary task, which cracked the […]

What better way to start the new year than with another milestone achieved for MathCityMap. We celebrate the year 2022 and the 30.000th task in the web portal! Our users were very active over the holidays and we can now be delighted with exactly 32.307 tasks in the portal.

Our anniversary task, which cracked the 30.000 mark, was created by Muhamad Rif’an in Jakarta and asks for the area of a rectangular platform. Click here to go to the task.

We look forward to many more MathCityMap tasks and wish you all a happy, prosperous and healthy New Year 2022!

The MCM team wishes Merry Christmas

Dear MathCityMap users, the year 2021 is now slowly coming to an end and although many things did not go as planned for many people, there were a lot of positive events and developments here at MathCityMap. With the turn of the year and the holidays in sight, now is the right time for a […]

Dear MathCityMap users,

the year 2021 is now slowly coming to an end and although many things did not go as planned for many people, there were a lot of positive events and developments here at MathCityMap. With the turn of the year and the holidays in sight, now is the right time for a short look back:

  • Over 12,000 new tasks were created in the system this year, so we now count a total of almost 30,000 tasks in the MathCityMap portal, of which about 10,500 tasks have been published. The number of tasks created has almost doubled within the last year!
  • A total of 32,000 mathtrails were downloaded in 2021. In addition, 1,300 Digital Classrooms were conducted with a total of approximately 8,800 participants and nearly 3,500 badges were awarded to MCM authors.
  • We also saw a significant increase in the number of registered users: Approximately 3,800 new MathCityMap users have registered in the system, bringing the MCM community to 10,000 members.
  • But not only the MCM community grew strongly, also our team could report some new members. We are very happy to welcome Tim Läufer, Jos Fabiunke, Rebecca Stäter and Philipp Larmann. In addition, Ivan Gurjanow and Simone Jablonski successfully completed their doctorates.
  • Our Erasmus+ project MaSCE³ (Math Trails in School, Curriculum and Educational Environments of Europe) is also being continued successfully. Therefore, we would like to thank our European partners from Portugal, France, Estonia and Spain. In particular, we would like to mention the MOOC (Massive Open Online Course) that took place in the spring of this year. A very successful online training series in which more than 100 teachers from all over the world were trained to become real MathCityMap experts.
  • In general, there were again many international events with MCM this year. From mathtrail events in Santander (Spain) to presentations at international conferences such as PME or ICTMT to teacher trainings in Portugal, Spain and Indonesia, there were again a variety of activities that brought MathCityMap closer to researchers, teachers and students.
  • Also as part of the MaSCE³ project, we were able to award the official title of “MathCityMap Partner School” for the first time. Gymnasium Trudering successfully completed the application process and can now benefit from our international network in a unique way. In addition, the students received a package with measurement tools for working on math trails in class.
  • A lot has also happened in the field of virtual teaching and distance learning. The concept of MCM@Home has been continuously developed over the past year into a stand-alone system and we are very pleased that ASYMPTOTE will be available as early as spring 2022.

Especially despite the pandemic-related restrictions this year, we are even more excited about the fantastic and exciting developments of the MCM system and last but not least the community. Without your joy in discovering and creating new tasks and mathtrails, this project would never be where it is now and therefore we would also like to take this opportunity to say thank you to all of you. Thank you for filling this digital system for school practice with life again and again and carrying it further into your communities.

We wish you and your families a Merry Christmas and a Happy New Year 2022. We are already looking forward to welcoming many new members to the MCM community and discovering new, exciting tasks around the world. Stay healthy!

Your MathCityMap Team Frankfurt

The first MCM partner school: Gymnasium Trudering

Dear users of MathCityMap, we are very happy to present you the first official MathCityMap partner school! The Gymnasium Trudering has successfully applied and is now allowed to use the title MCM partner school! The possibility to become an MCM partner school was introduced within the MaSCE³ project and the path to this title for […]

Dear users of MathCityMap,

we are very happy to present you the first official MathCityMap partner school! The Gymnasium Trudering has successfully applied and is now allowed to use the title MCM partner school!

The possibility to become an MCM partner school was introduced within the MaSCE³ project and the path to this title for interested schools is as follows:

Step 1: Visit www.mathcitymap.eu and get familiar with the MathCityMap system. If you like it, ask your colleagues to join you in your plans to become an MCM partner school!

Step 2: Create 15 tasks and 2 trails for different grades close to your school. The tasks and trails should be published in our system, peer-reviewed by your colleagues and downloaded at least 5 times by your students.

Step 3: Send your application to info@mathcitymap.eu including the trail numbers and your experiences with the trails. If you have met all the requirements, your school will be named an MCM partner school!

The students of the Gymnasium Trudering now receive measuring tools and materials from us to successfully work on Mathtrails in class. In addition, the Gymnasium will receive an official MCM partner school plaque for their main entrance and will always be informed about the latest developments of MathCityMap. As soon as the network of partner schools grows, we will provide for an international exchange between the different partner schools within the framework of the partner school project, from which all participating schools will benefit.

The whole process is completely free of charge for all schools and is co-funded by Erasmus+. You can find all further information here.

We are already looking forward to welcoming more schools as MCM partner schools! Below you will find a report about the journey of Gymnasium Trudering to become the first MCM partner school.

 


 

Our teacher was excited about the idea of using math in real and authentic situations. So were we when we heard about it. Therefore, we, the P-Seminar MathCityMap 2020/22, had set ourselves the goal of creating an interactive MathTrail directly in the natural environment. This trail should not be too difficult, but still challenging. But this was a long way.

At first we studied the already created trails and tasks in Munich. Afterwards, we and one of our Q11 courses ran the trail “Discovery trip in Riemer Park” by Mrs. Haupenthal and made experiences with the digital classroom on the student side. Our P seminar course participated in the MathCityMap MOOC (Massive Open Online Course) as part of the Erasmus+ project MaSCE. It was a special experience for us to participate in a MOOC training with more than 500 international guests. We enjoyed the course very much. Through video clips we learned how to use the program to create trails and learned some background information about the project.

Once the use of the MathCityMap software had become clear, the course set out to create creative tasks in nature. Riemer Park was determined as the place where the tasks were to be located. Everyone then independently created two tasks in Riemer Park that could only be solved on site and associated with an activity (measuring, counting). An MCM task includes a representative photo of the object, a title, a task description, the exact position, the task type (e.g. interval, exact value, multiple choice, etc.), a sample solution, hints, indication of the class, tools (e.g. folding rule, measuring tape, measuring jar, watch, calculator, etc.) and tags. In the context of the P-Seminar MathCityMap we have made it our goal to make mathematics fun for everyone in a modern and playful way. Especially finding and creating tasks was an exciting change in the homeschooling time. It is amazing to see where you can find mathematics on the street, if you just walk around with your eyes open. So you can find tasks for almost all topics, which create an interesting connection between school and reality. Even a simple tree can become a tricky task. Lower grades in particular often find it difficult to understand what they are learning and for what purpose. This is where we wanted to start with our seminar: To get students excited about mathematics in an interesting way.

Teams were formed to develop the outdoor tasks. The tasks were posted on the web portal Mebis for everyone involved to review. There was a correction team and a team for viewing the curriculum. From the individual tasks, the route of the trail was again jointly determined, which in times of distance learning also ran via the MS Teams conference software. It was jointly considered which tasks could be grouped into so-called trails based on the subject matter and location. In total, two trails were created, each with at least six tasks in Riemer Park. After the two trails had been created, the course also decided to create a trail around the school, designed for the fifth grade of the Trudering Gymnasium.

At the end of the project on 27/10/2021, a digital classroom and a walkthrough of the trail around the school were organized with the fifth grade. We evaluated the experiences made with the 5th grade. With the “Gamification” and “Narrative Pirates” settings in the MCM web portal, in our opinion, especially younger students are motivated and a competitive character is conveyed, which facilitates the achievement of learning goals and incidentally leads to the acquisition of competencies. We were particularly pleased with the positive feedback from the students after the trail was carried out with a 5th grade class. One planned trail turned into five in the end, and with Ms. Haupenthal’s trail developed during the MOOC, we created a total of 6 trails. 

 

MathCityMap: News from Slovakia

  Collaboration as a means of professional growth for mathematics teachers   Recently in Slovakia Mathtrails with MathCityMap were used in a professional development event for mathematics teachers, especially as an impulse for collaboration in joint development of mathematics education within the national KEGA project “Collaboration as a means for professional development of mathematics teachers”. […]

 

Collaboration as a means of professional growth for mathematics teachers

 

Recently in Slovakia Mathtrails with MathCityMap were used in a professional development event for mathematics teachers, especially as an impulse for collaboration in joint development of mathematics education within the national KEGA project “Collaboration as a means for professional development of mathematics teachers”. Janka Medová and Silvia Haringová from the Department of Mathematics at the University “Constantine the Philosopher” in Nitra and teachers from the United Catholic School in Nitra participated in the design of the mathematical trails.

 


During the first meeting, the teachers put themselves in the role of students. With the help of mobile devices, they tried to master the prepared mathtrail. After they had solved all the tasks, we explained to them how the MathCityMap portal works and how a mathtrail can be created. Furthermore, the teachers received a manual with detailed instructions on how to create a trail. The teachers’ task was now to come up with their own tasks and to upload them to the portal by the next meeting.

 

 

At our next meeting, the teachers discussed the tasks together and selected the best ones to create the final Mathtrail. This trail was tested out by high school students who spent two class periods walking the trail and solving tasks. Following the walk-through of the mathtrail, a joint teacher reflection took place, focusing on the importance of incorporating mathtrails into the teaching of mathematics.

 

MCM Seminar at the Deutsches Eck

  In the summer semester of 2021, the first MCM seminar was held at the University of Koblenz-Landau, Koblenz Campus. Despite the difficult conditions caused by the pandemic, the students were able to work in small groups in compliance with the applicable rules, first learning the theoretical basics at home and then moving out into […]

 

In the summer semester of 2021, the first MCM seminar was held at the University of Koblenz-Landau, Koblenz Campus. Despite the difficult conditions caused by the pandemic, the students were able to work in small groups in compliance with the applicable rules, first learning the theoretical basics at home and then moving out into the field. In the first step, they put themselves in the role of students and explored Simone Jablonski’s Koblenz Trail in groups. After that, they went to work themselves. The focus of the seminar was on the primary level and accordingly many trails suitable for primary schools were created throughout Rhineland-Palatinate.

Unfortunately, the flood disaster of July also left its mark on the MCM Seminar. The floods of Ahrweiler completely destroyed a mathtrail in the Ahrweiler valley. Thankfully, the student who created it remained unharmed.

The seminar was very well attended with two times 45 students and the students visibly enjoyed the unusual way of doing mathematics. The seminar is part of the dissemination of the EU funded MoMaTrE project.

In the course of the seminar, various video contributions were made by the students. In each of the videos, they present an MCM task from the trail they designed, and they also go into more detail about the didactic background of their task. We would like to share one of these videos with you. Have fun watching it!

 

Mathe.Entdecker: Experiencing Zwönitz mathematically.

In the past months of July and August, the MathCityMap team from Frankfurt visited the German city of Zwönitz. Here our team created a total of 17 new trails, which were now officially opened and published! With the support of Stiftung Rechnen, the town of Zwönitz and its Smart City Zwönitz project, we have created […]

In the past months of July and August, the MathCityMap team from Frankfurt visited the German city of Zwönitz. Here our team created a total of 17 new trails, which were now officially opened and published!

With the support of Stiftung Rechnen, the town of Zwönitz and its Smart City Zwönitz project, we have created Math.Discoverer trails (Mathe.Entdecker-Pfade) for classes and families in and around the town, which is located in the middle of the Ore Mountains. On the website of Stiftung Rechnen and in a video report by erzTV, you can find more background information about the Math.Discoverer paths and the Smart City Zwönitz project.

The Mathtrails lead through different parts of the Smart City Zwönitz: the city center, past the train station and through the Austelpark, along the Sendigmühle and the Knochenstampfe. The grand opening with school classes trying out the Mathtrails took place on 12.10.2021 in the presence of the mayor of the city of Zwönitz. You can find a flyer with descriptions of the trails here.

Below we list all our created trails in Zwönitz. We wish you a lot of fun and success trying them out!

 

Title incl. Link

Code

Duration | Distance

Eröffnungstrail Klasse 5

[Opening Trail – Grade 5]

156358

2h 20 min | 700 m

Eröffnung Klasse 6

[Opening Trail – Grade 6]
476359

1h 40 min | 800 m

Innenstadt Familie

[City Center for families]

696049

2h 50 min | 1.300 m

Innenstadt Klasse 3/4

[City Center – Grade 3/4]

496048

2h 40 min | 1.300 m

Innenstadt Klasse 5-7

[City Center – Grade 5-7]

046050

2h 30 min | 1.400 m

Innenstadt Klasse 8-10

[City Center – Grade 8-10]

056052

2h 30 min | 1.000 m

Zwönitz für Familien 3/4

[Zwönitz for families – Grades 3/4]

255938

1h 40 min | 1.600 m

Zwönitz für Familien 5/6/7

[Zwönitz for families – Grades 5/6/7]

085939

2h 20 min | 1.600 m

Austelpark Familie

[Austelpark for families]

466044

2h 00 min | 900 m

Austelpark Klasse 3/4

[Austelpark – Grades 3/4]

292265

1h 20 min | 700 m

Austelpark 5/6/7

[Austelpark – Grades 5/6/7]

026046

2h 10 min | 800 m

Austelpark 9/10

[Austelpark – Grades 9/10]

296047

2h 00 min | 900 m

Ziegenberg Familie

[Ziegenberg for families]

786039

2h 00 min | 1.300 m

Ziegenberg Klasse 7/8

[Ziegenberg – Grades 7/8]

896038

2h 00 min | 1.400 m

Ziegenberg Klasse 9/10

[Ziegenberg – Grades 9/10]

576040

2h 00 min | 1.300 m

Knochenstampfe Familie

[Knochenstampfe for families]

136043

1h 50 min | 200 m

Knochenstampfe Klasse 5/6

[Knochenstampfe – Grades 5/6]

036042

1h 50 min | 200 m

MCM goes Canada

From September 9 to October 8, we were able to collaborate with Simon Fraser University in Vancouver, Canada on a new project on outdoor mathematics and MathCityMap. Visiting the research group of Prof. Dr. Nathalie Sinclair, we dedicated ourselves to research on embodiment and gestures while walking a mathtrail: When students work on real objects, […]

From September 9 to October 8, we were able to collaborate with Simon Fraser University in Vancouver, Canada on a new project on outdoor mathematics and MathCityMap. Visiting the research group of Prof. Dr. Nathalie Sinclair, we dedicated ourselves to research on embodiment and gestures while walking a mathtrail: When students work on real objects, it seems natural that they interact with the object and describe mathematical concepts through gestures.

 

 

We started by looking at the SFU campus, and we didn’t have to search long for suitable tasks! Not only the pyramid seemed to be made for MCM! In the course of an advanced training with 20 teachers, the tasks could then be tested directly. Afterwards, five groups were filmed solving the tasks. In the evaluation, we will focus on when and with which function different gestures were used. We will submit these results at the next PME conference (2022 in Valencia).

Of course, we did not miss the opportunity to create some trails in downtown Vancouver – both the Waterfront Station and the Stanley Park were ideal addresses for our first “Canadian Math Trails”.

 

 

The study and the accompanying research stay are funded by the DAAD and the BMBF within the framework of the Project-related Exchange of Persons (PPP) Canada.

Behind the Scenes Part II: Review Criteria

The topic of the second post in our new “Behind the Scenes” category is reached by clicking on “Review” in the trail or task view in the web portal, as described in the last post. Here, users can request that their trail or task be published. But how can we the MCM team actually access […]

Behind the ScenesGeneral

The topic of the second post in our new “Behind the Scenes” category is reached by clicking on “Review” in the trail or task view in the web portal, as described in the last post. Here, users can request that their trail or task be published. But how can we the MCM team actually access the requests and according to which criteria are the requests accepted or rejected? We will answer these questions in the article below.

 

 

All requests for publication converge on the MathCityMap team’s side in the “Reviews” section of the web portal. This special area is only visible to reviewers. Reviews can currently only be performed by members of the MCM teams at universities around the world. In the long term, however, a review seminar is planned in which one can obtain the authorization to perform reviews of trails and tasks.
By clicking on “Reviews” we now get to an overview where all trails and tasks are listed whose review process has not yet been completed. This is either the case if the review has not been started yet or if there are still ambiguities in the tasks or trails that are being reworked by their creating users. In the image below you can see this overview for trails. It shows the title of the trail, in which language the trail was created and when the trail or task was submitted for the first time.

 

After selecting a trail we get to its overview where we review all tasks individually. When reviewing the tasks, we pay special attention to various criteria:

  1. Uniqueness. For each task, an image must be used to accurately identify the situation, or object, that the task is about.
  2. Presence. The task can only be solved on the spot, which means that the task data must be collected on the spot. This also means that the picture or the task text may not be sufficient to successfully complete the tasks.
  3. Activity. To solve the task an activity is necessary, i.e. you have to do something yourself (e.g. estimating, measuring or counting).
  4. Reality. The task should have an application, be realistic and not appear too artificial.
  5. Tiered aids. At least two tiered hints should be added to each task.
  6. School math and tags. The task should have a relationship to school mathematics, which are assigned to the task as keywords (tags). Similarly, the task should be assigned a grade level.
  7. Solution Formats. Each task should be based on a meaningful answer format, such as intervals for measurement tasks.
  8. Sample solution. A sample solution should be added to each task (visible to learners only after the task has been completed) to allow comparison of the learner’s own solution with the expected solution.

If all tasks meet the above criteria, there is one last criterion for the publication of the trail in addition to those already mentioned. This is especially relevant if the trail is explicitly designed for school classes.

9. Practicability. The tasks of the trail should be within an appropriate radius for the intended time of realization. Furthermore, it makes sense if the tasks are arranged in such a way that they form a circular trail with the start and finish as close to each other as possible.

However, we would like to show you in the next article of our category “Behind the Scenes” what exactly happens from the application to the publication and how this looks in the portal on the MCM teams side with an example task.

MathCityMap – App Review

  The online portal “FREE APPS FOR ME” regularly presents and reviews apps that are publicly available and free of charge. In one of its latest articles, the portal’s team presents the MathCityMap App and reports on their impressions of using the app.   Here, the portal focuses mainly on the technical features and user-friendliness […]

 

The online portal “FREE APPS FOR ME” regularly presents and reviews apps that are publicly available and free of charge. In one of its latest articles, the portal’s team presents the MathCityMap App and reports on their impressions of using the app.

 

Here, the portal focuses mainly on the technical features and user-friendliness of the app, but also refers to the idea of making the relevance of mathematics visible and comprehensible on real objects in the environment.

 

You can find the full article here. Enjoy reading!

MCM@home: Digital Learning Paths for Math Lessons

Dear users, we have already presented several MCM@home learning paths for distance learning within the MathCityMap app. In our new collection we have added some new learning paths. All your learners have to do is to enter the code in the free and GPDR-compliant MathCityMap app. Ready to start! We hope you enjoy working through […]

Dear users,

we have already presented several MCM@home learning paths for distance learning within the MathCityMap app. In our new collection we have added some new learning paths.

All your learners have to do is to enter the code in the free and GPDR-compliant MathCityMap app. Ready to start!

We hope you enjoy working through them!

 


LanguageGradeTitelCode
English7[MCM@home] Pribina Square Nitra052591
9Erasmus Days 2020 I273177
9Erasmus Days 2020 II583178
9MCM@Home: Semarang232525
10[MCM@home] Berlin052524
Spanish8Actividades en casa062651
8El patio de mi casa es particular…472991
8MathCity@Home 2º ESO562551
9Campo de fútbol del Racing de Santander782526
9Ruta PI de la FESPM044282
10Matemáticas en el baloncesto382998
10Noche Europea de los Investigadores-Noviembre 2020893300
Italian8Matematica a tutto tondo per IDM 2021 – scuola secondaria di I grado044258
11Matematica a tutto tondo per IDM 2021 – scuola secondaria di II grado184244
Portuguese8MCM@Home: PT-Porto [7/8]692543
9MCM@Home: PT-Porto [9]062544
9MCM_PI_Guimaraes @ home384252
12MCM@Home: PT-Guimarães022552
Slovak5[MCM@home]Dubovce2164107
5[MCM@home]Kombinatorika okolo prezidentského paláca v Bratislave342691
6[MCM@home] Dvory nad Žitavou292584
7[MCM@home] Pribinovo námestie Nitra142598
7[MCM@home]Holíčsky zámok392602
7[MCM@home]Senica172870
8[MCM@home]Dubovce342540
8[MCM@home]U včelárov363332
8[MCM@home]Veľké Borové393526
8Vratna@Home562529
9[MCM@home] Detské ihrisko Nové Zámky383533
9[MCM@home] Objemy a povrchy v lesoparku Žilina152588
9[MCM@home]Skalica692760
9[MCM@home]Stromy okolo rieky Nitra174015
10[MCM@home]πNitra084229
Indonesian9MCM@home: Matematika di Sekitar Kita684255
German3Mathe-Adler Knobelaufgaben072592
3Mathe-Adler Rätselspaß282593
3Mathe-Adler: Folgen und Reihen012519
3Mathe-Adler: Kombinatorik262518
3Mathe-Adler: Zahlenrätsel192515
3Rechentricks für die Mathe-Adler073299
4Mathe-Adler: Neue Matherätsel284659
4MathCityMap@home Fortbildung – Grundschule353578
6Mathe-Adler: Knobeln für Fortgeschrittene054098
6Mathe-Adler: 24 knifflige Rätsel564802
6Rechnen mit Dezimalzahlen392881
8MCM indoors: Mathematik-Wettbewerb 1183150
8MCM indoors: Mathematik-Wettbewerb 2073244
8MCM@Home: Lineare Funktionen012514
8Umgang mit Termen063152
9MCM@Home: Quadratische Funktionen682517
9Jahresrückblick Klasse 9792904
9MCM@Home LemaS Fortbildung Bremen344106
9iM INTernet: Fortbildung zu MCM@home154204
9MCM@home-Fortbildung783277
9ZAA HS Pflichtteil 2019354115
9ZAA HS Wahlteil 2018014129
10ZAA HS Wahlteil 2019144260
10Mathematik ist überall! Trail zum IDM 2021134205
10MCM@Home: Ffm a. M.692521
10Daten und Statistik282769
10ZAA RS Pflichtteil 2012464997
10ZAA RS Pflichtteil 2013894693
10ZAA RS Pflichtteil 2019164132
10ZAA RS Wahlteil 2018124130
10ZAA RS Wahlteil 2019174133

 

Did you also create a MCM@home learning path and would like to share it with other users? Great!

Then please write an email with…

  • the name of your MCM@home trail,
  • the related code,
  • the grade level,
  • and the language of the digital learning path

to barlovits[at]math.uni-frankfurt.de.

We would be very happy to add your contribution to the list as well!