Silvia Haringova of the Constantine the Philosopher university in Nitra presented the MathCityMap@home concept in online teacher trainings for around 700 teachers. Furthermore, she conducted lessons with more than 150 lower- and upper-secondary school students. In the interview, Silvia looks back on her student time and describes the teacher training concept.

 

Looking back on student time: Participating in a course about MathCityMap

During the Intensive study programme (ISP) organized within the MoMaTrE project, which I participated in March 2018 at the Goethe-University in Frankfurt, I was taught everything necessary to create and implement my own trails in Slovakia.

Based on my participation in the ISP I chose a diploma thesis aiming at math trails. I describe the principles and specifics of the designing tasks for MathCityMap and my goal is also to create several math trails. I also deal with trails within the project Comenius Institute, an annual educational programme designed for pre-service, beginning and in-service teachers as well as heads of schools organized by the non-governmental non-profit organization Živica. Each year, 20 teachers have the opportunity to participate in this programme. The main goal of my project is to increase awareness of math trails in primary and secondary schools among various teaching communities throughout whole Slovakia.

 

Being a lecturer: Disseminating the MCM@home concept

With the project, I tried to motivate my classmates at the university and involve them in the design and implementation of math trails. I created a Facebook page (click here), where I regularly publish various articles trying to promote this new way of teaching mathematics outdoors using mobile technologies. In cooperation with the Comenius Institute, we organized a webinar about trails. The webinar was held online and was attended by more than 700 teachers of various subjects. During the students’ practice, I conducted 9 [MCM@home] trails with more than 150 lower- and upper-secondary school pupils.

 


A list with several MCM@home trails from all over the world can be found here:

Collection of MCM@home Trails


It’s finally starting! On Friday, June 11, 2021, the opening match between Italy and Turkey will take place in Rome. A short time later, the strong national teams from Belgium, England and Spain will also start the tournament. Group F, in which top favorite France will be challenged by Germany and Portugal, will be particularly explosive.

Regardless of the outcome of the tournament, the European Championship will be the hot topic in the upcoming weeks! On our partner site fussballmathe.de, the team around Prof. Dr. Matthias Ludwig (Goethe University Frankfurt) provides you with a variety of information and materials for your mathematics lessons:

  • Do you know how to (approximately) make a football out of 24 congruent kite quadrilaterals?
  • Or how you can use the path rule to predict the probability of Germany making it to the round of 16?
  • Do you know the birthday paradox and what it has to do with the EURO 2021?

You can find material for these and many other questions at fussballmathe.de. In addition, you will find there our prediction who will be the winner of the tournament…

Yesterday the great MathCityMap MOOC within the Erasmus+ project MaSCE³ ended. In this article we present experiences of teachers. And of course, we also want to thank all participants and in particular all organizers of the MOOC.

 

Experiences with MathCityMap:

In the following statements, the teachers participating in the MOOC review on the course and their made experiences with doing mathematics outdoors with their classes.

Veronica Sambataro (United Kingdom, Secondary level):
I attended this course as a postgraduate student and a future teacher. For testing the math trail, I decided to involve my households – and it was very fun. Some of them told me that it was really fun discovered new formulas and enjoying with math! I will use MathCityMap for sure when I will be a teacher a day!!

Gina Patricia Paz Huamán (Peru, University level):
Today I applied with a group of students of Higher Education the “Mathematical Route in Pueblo Libre” that I prepared with the MathCityMap application. This experience has been positively valued by them who consider that it will be very motivating to use it with the students of Basic Education for whom the activity was prepared. It has been very exciting to use the digital classroom in this activity, to see how the groups are formed, the progress of each one of them and how they solve the challenges posed.

Margherita Motteran (Italia, Secondary level):
Today we had fun trying to solve problems in reality mathematically. In order to determine the dimensions of real objects, students used different strategies that they developed themselves. This activity stimulated their imagination and increased their math skills. We plan to use MCM often in the future.


Thanks a lot!

The entire MathCityMap team Frankfurt would like to thank the main organisers of the MOOC. Within the MaSCE³ project, the MOOC was prepared, guided and accompanied by:

Eugenia Taranto (Italy), Christian Mercat (France), Elisabete Cunha (Portugal), Claudia Lázaro (Spain), Andrus Rinde (Estonia) and Simone Jablonski (Germany).

Thank you very much for your commitment!

Norbert Goeth participated in our MathCityMap training series in cooperation with the Hessian Ministry of Education. In the interview, the teacher tells us about the use of MathCityMap for exam preparation.

 


Where do you personally see the added value of MCM@home?
I see the added value in the successive streamlining of the collection of the previous year’s ZAA tasks, if these are provided with a schedule with the possibility of control. At the beginning of the year, the STARK booklets (containing the final exams of the last years) are purchased – and initially disappear unread. Beginning in late summer, teachers point out the need for these preparations (in addition to normal instruction), but the response is hesitant and restrained. I think the MCM@home paths for these assignments are a great way to give teachers a tool to easily see which students are working on the assignments, where they are struggling, and where you need to increase the pressure on solution commitment.


What did your learners report back to you?
I told my class 10 about my training and the tool. Yes, the idea is well received and depending on their learning attitude, they have emphasized more the supporting or controlling options in their assessment.


What MCM@home digital learning paths have you created yourself?
ZAA tasks from the years that will not be printed by STARK publisher in the current books in the future (ZAA-2012-RS and ZAA-2013-RS, each mandatory tasks), currently I am dealing with the elective tasks.


Searching for more information?
An overview of all MCM@home learning paths can be found here.



How did the creation of your trails work out?
Pretty well. The program is largely self-explanatory, though the pitfalls are always in the details. Overall, creating tasks, if you want to do it well, is time-consuming. But that’s where MCM is no different than anything else, because the effort isn’t on MCM.

Our new Trail of the Month is located in Alcobendas, Spain. The trail in the town north of Madrid has been frequently used in teacher practice, as shown by the high number of more than 230 downloads. It was created by José Fernández de la Cigoña and Isabel Docampo for presenting MathCityMap during the Spanish mes de las matemáticas (month of mathematics; click here for the website and here for our report on the project).

In the following interview, José Fernández de la Cigoña highlights the use of the MathCityMap pirate narrative and introduces her trail Un paseo pirata matemático por el Jardín de La Vega”.

How do you get in contact with MathCityMap?

We got in touch with MathCityMap by the Spanish website Marzo, mes de las matemáticas from whom we were asked to prepare a trail to contribute to the month of mathematics. So, we looked for some information, signed up for the MathCityMap MOOC and started creating on our trail. We aim at a broad revision of learned topics, mainly geometry but also divisibility, probability or proporcionality, among others. 

Our students in school have already worked on the trail! In fact, we are a little surprised by the high number of downloads of our trail by other users.

Please describe your trail.

Our trail is placed in a park in Alcobendas, a city close to Madrid. The website Marzo, mes de las matemáticas guided us on the kind of tasks we could look for, and one great characteristic of this trail is that most of the tasks can be easily recreated in any city around the world [so-called Generic Tasks]. The special attribute of this trail lies in a story connecting all the tasks, a sort of pirate adventure based on the MathCityMap pirate narrative.

Please sketch one of your tasks. What is the mathematical question? How could you solve it?

The most inventive task in our trail is “La batalla final” (The final battle). It is located on a playground where you can find a pirate ship. The aim of the task is to find the probability of hitting the ship if you fire a cannon. So it’s about probability and geometry since you need to evaluate the ship area and the area of the playground to know the probability.

Why do you use the pirate narrative. What are its benefits?

Since we have been developed a pirate story, it seemed so natural to use the pirate narrative. In fact, this narrative inspired us to create the story.

 

MathCityMap is broadly disseminated in Spain: In addition to our long-term partner FESPM, a teachers’ association, our project is now also promoted by the initiators of the mes de las matemáticas (month of mathematics) in Spain.

For this purpose, in cooperation between mes de las matemáticas and the FESPM, seven trails have been created, three of them for primary school children and four for secondary school children. Four of the new math trails are located in Malaga near the Costa del Sol, and two others in Jaén, Andalusia. The seventh and last math trail, which was created as part of this project, was created in Alcobendas near Madrid. We will present it to you in May as Trail of the Month.

 

List of the new math trails:

MathCityMap is broadly disseminated in Spain: In addition to our long-term partner FESPM, a teachers’ association, our project is now also promoted by the initiators of the mes de las matemáticas (month of mathematics) in Spain.

For this purpose, in cooperation between mes de las matemáticas and the FESPM, seven trails have been created, three of them for primary school children and four for secondary school children. Four of the new math trails are located in Malaga near the Costa del Sol, and two others in Jaén, Andalusia. The seventh and last math trail, which was created as part of this project, was created in Alcobendas near Madrid. We will present it to you in May as Trail of the Month.

 

List of the new math trails:

Dear users,

in the last year, a large number of MCM@home trails have been created. Students can work on these digital learning paths from home or in distance learning phases.

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
4MathCityMap@home Fortbildung – Grundschule353578
6Mathe-Adler Knobeln für Fortgeschrittene054098
8MCM indoors: Mathematik-Wettbewerb 1183150
8MCM indoors: Mathematik-Wettbewerb 2073244
8MCM@Home: Lineare Funktionen012514
8Umgang mit Termen063152
9MCM@Home LemaS Fortbildung Bremen344106
9MCM@Home: Quadratische Funktionen682517
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
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!

MathCityMap celebrates the 20,000th task in the web portal! In the past weeks and months, you, dear users, have been active and created numerous interesting tasks in the web portal.

Our anniversary task was created by Jesica Sanchez Lagrange near Madrid and asks for the circumference of a rectangular information board. Click here to display this task.


We are looking forward to many more MathCityMap tasks!

We welcome our new MCM Reviewers from Indonesia! Together with our long-time MCM supporter Adi Nur Cahyono, the new mebers will review the tasks submitted for publication and help you make the tasks even better. We look forward to many new tasks from Indonesia!

*** Do you want to become a MCM Reviewer? ***

But it’s not just Indonesia we’re looking for new reviewers – the MathCityMap team is looking for reviewers for all languages and countries.
You also want to become a MCM reviewer? Great!
Send us an email to info[at]mathcitymap.eu and complete a small training program for reviewers. We are looking forward to you!