MATHS AROUND US Spanish mobility and its results Madrid, Spain 23rd- 27th October 2017 1 “Maths around us” 2015-1-PL01-KA219-016511_1
TABLE OF CONTENS (TOC) Spanish mobility anditsresults ............................................................................................................ 1 SCHEDULE ................................................................................................................................................. 3 Villanueva de la Cañada, Madrid. ...................................................................................................... 4 * Introduction ........................................................................................................................................... 4 *Evaluationsurveyafterthe stage''Mathsingames'' .................................................................................. 6 *MADRID ................................................................................................................................................ 10 *BEST THIGS TO DO IN MADRID ................................................................................................................ 12 Trip to Segovia ......................................................................................................................................... 14 *Links: dissemination activities .............................................................................................................. 15 *Conclusion............................................................................................................................................. 15
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SCHEDULE SUNDAY 22/10/ 2017 Travelling day to Madrid and Villanueva de la Cañada. MONDAY 23/10/2017 Welcome celebration at CE ZOLA SCHOOL Visit to town hall and reception Lunch at school Meeting foreign students with school team games Time with the spanish family TUESDAY 24/10/2017 Trip to Madrid lunch at Plaza Mayor Back to school Time with the spanish family WEDNESDAY 25/10/2017
Trip to Segovia Gymkana with maths in Games Lunch at Segovia Back to school Time with the spanish family THURSDAY 26/10/2017 Trip to Toledo Art activities Lunch at Toledo Time with the spanish family Dinner party FRIDAY 27/10/2017 School activities about Maths in Games Lunch at school School activities about maths in games Goodbye activities (concert and certificate delivery ceremony).
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Villanueva de la Cañada, Madrid.
* Introduction The Spanish meeting of the "Maths Around Us" project took place between 23 and 27 Oct 2017 in Vva de la Cañada in Madrid, Spain. Teachers from five countries met at the CE ZOLA VILLAFRANCA and discussed the results of previous stages of the project, shared and agreed the activities to be carried out and the methods for evaluate it and disseminating the project. They also discussed about future projects. The activities related to the mathematics in games will be studied. They all agreed about the importance of evaluation, in the same way of the others stages. During the meeting the students participated in the school activities, and they was distributed in several international groups. The aim of this international groups is improve the social skills of the students. The groups were done with students from different countries and more or less the same age. Each group had a game´s name. The different groups were playing to games and learned it. In this way the students learned several games and they could teach to other students. Teachers and students visited the town hall of Villanueva de la Cañada and they ate a 4 “Maths around us” 2015-1-PL01-KA219-016511_1
typical Spanish breakfast (chocolate con churros). They also made a trip to Madrid city center, Segovia and Toledo.
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*Evaluation survey after the stage ''Maths in games'' In the same way of other stages, we will evaluate the 5 skills the project is working: English language, Maths, ICT, Social and activities.
PART 1 English Language Developing language skills: speaking, writing, reading, breaking the language barrier between project students 1. Do you think, that your participation in Erasmus project helped you to develop your language skills in English? definitely yes rather yes
rather not
definitely not
2. Which skills did you develope the most: •
reading
•
writing
•
oral communication
3.In your opinion which skill was the most useful during the project and why? ........................................................................ 4. In your opinion what is your level of communication in English with foreign project students? excellent
very good
good
quite faire
5. In your opinion what is your level of understanding written texts in English after your work in the Erasmus+ project? excellent
very good
good
quite faire
6. Which activities do you regard as the most developing during project work? •
Creating texts in English.
•
Verbal communications with foreign project students.
•
Translating texts into English and vice versa.
7. Why?............................................................................... 8. Which language activities you did during the project were the most satisfying and motivating and why? .............................................................. 9. Which language activities you did during the project were the least satisfying and motivating and why? 6 “Maths around us” 2015-1-PL01-KA219-016511_1
PART 2 Maths skills 1. Do you think that thanks to the participation in the project did you develop your knowledge and skills in mathematics? surely yes, yes yes, definitely not 2. Circle the skills you have developed the most: • get to know the units that change, • you know what percentage, • know the importance of the Mediterranean diet, 3. How good are you at calculating the calories of various foods? 4. How good are you at calculating the daily calorie requirement? 5. How good is your knowledge of the food pyramid? excellent (10-9) very good (8-7) good (6-5) fair (4-3) 6. Which topics did you not know before joining the project? - knowledge of the calories of various foods, - calculation of daily calorie requirements, 7. What skills do you consider most useful during the "Mathematics in the kitchen" project and why?
PART 3 Developing ICT skills 1. Did you develope your ICT skills due to project tasks ? definitely yes rather yes
rather not
definitely not
2. What applications or ICT tools did you use during the project tasks? Movie maker, photo story, Smilebox, tworzenie kolaży – pixlar, puzzle- match the memory , tagxedo, hot potatoes, 3. What applications or ICT tools you did not know before the project tasks ? ................................................................................................. 4. What ICT tasks or activities did you find the most satisfying and motivating? Why? ............................................................... 5. What ICT tasks or activities did you find the least satisfying and boring? Why? ................................................................................ 8
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PART 4 Developing SOCIAL skills •
Developing social skills due to group work, pair work (solving problems together,
looking for solutions, tolerance in social contacts objective criticism in group, finding strengths and weaknesses , negotiation in group) 1. Underline: how do you usually work during the project work: •
individually
•
in pair
•
in group
2. Underline: How did you take decisions about division on of labour: •
One or two peers imposed on the others the tasks
•
Everybody voluntarily or in negotiation way decided what to do
3. How did you solve problems in pair or group work ? ................................................................ 4. What are your strengths in pair/group work? ..................................................................... 5. What are you weaknesses in pair/group work ? .......................................................................
PART 5 General questions 1 .The atmosphere during the project activities was: very good •
good
•
bad
•
I don’t know
2. Did you like the project meeting? yes
no
Why? …………………………………………………………………… 3. Did you develop your passions or hobbies due to the project? 9 8 “Maths around us” 2015-1-PL01-KA219-016511_1
excellent (10-9)
very good (8-7)
good (6-5) fair (4-3)
poor (2-1)
4.In your opinion your participation in the project was : excellent (10-9)
very good (8-7) good (6-5) fair (4-3)
poor (2-1)
5. What project task was the most interesting and why? ................................................................. 6. What project task was the least interesting and why? ...................................................................... 7.What project task was the most difficult and why? ................................................................... 8. Did you gain more knowledge about project countries due to project tasks? definitely yes rather yes
rather not definitely not
9. What new or interesting things about project countires did you find out, you did not know before the project, give an example? ......................................................................... 10. Would you like to take part in another Erasmus project once again? •
yes
•
no
•
I don’t know
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*MADRID
Teachers and students from five countries visited Madrid city center . Madrid is the capital of Spain and the largest municipality in both the Community of Madrid and Spain as a whole. The city has almost 3.2 million inhabitants and a metropolitan area population of approximately 6.5 million. It is the third-largest city in the European Union (EU), smaller than only London and Berlin, and its monocentric metropolitan area is the third-largest in the EU, smaller only than those of London and Paris. The municipality covers 604.3 km2 (233.3 sq mi). Madrid lies on the River Manzanares in the centre of both the country and the Community of Madrid (which comprises the city of Madrid, its conurbation and extended suburbs and villages); this community is bordered by the autonomous communities of Castile and León and Castile-La Mancha. As the capital city of Spain, seat of government, and residence of the Spanish monarch, Madrid is also the political, economic and cultural centre of the country. The current mayor is Manuela Carmena from the party Ahora Madrid. The Madrid urban agglomeration has the third-largest GDP in the European Union and its influences in politics, education, entertainment, environment, media, fashion, science, culture, and the arts all contribute to its status as one of the world's major global cities. Madrid is home to two world-famous football clubs, Real Madrid and Atlético de Madrid. Due to its economic output, high standard of living, and market size, Madrid is considered the major financial centre of Southern Europe and the Iberian Peninsula; it hosts the head offices of the vast majority of major Spanish companies, such as Telefónica, IAG or Repsol. Madrid is the 10th most liveable city in the world according to Monocle magazine, in its 2017 index. Madrid houses the headquarters of the World Tourism Organization (UNWTO), belonging to the United Nations Organization (UN), the Ibero-American General Secretariat (SEGIB), the Organization of Ibero-American States (OEI), and the Public Interest Oversight Board (PIOB). It also hosts major international regulators and promoters of the Spanish language: the Standing Committee of the Association of Spanish Language Academies, headquarters of the Royal Spanish Academy (RAE), the Cervantes Institute and the Foundation of Urgent Spanish (Fundéu BBVA). Madrid organises fairs such as FITUR, ARCO, SIMO TCI and the Cibeles Madrid Fashion Week. While Madrid possesses modern infrastructure, it has preserved the look and feel of many of its historic neighbourhoods and streets. Its landmarks include the Royal Palace of Madrid; the Royal Theatre with its restored 1850 Opera House; the Buen Retiro Park, 10 “Maths around us” 2015-1-PL01-KA219-016511_1
founded in 1631; the 19th-century National Library building (founded in 1712) containing some of Spain's historical archives; a large number of national museums, and the Golden Triangle of Art, located along the Paseo del Prado and comprising three art museums: Prado Museum, the Reina Sofía Museum, a museum of modern art, and the ThyssenBornemisza Museum, which completes the shortcomings of the other two museums. Cibeles Palace and Fountain have become one of the monument symbols of the city. Madrid is the most visited city of Spain.
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*BEST THIGS TO DO IN MADRID Madrid is a city so full of life and culture that it’s hard to do justice to it in a few paragraphs. Artistically the city holds its own against any in Europe, with the of the best art museums on the continent where renaissance masterworks and seminal 20th-century pieces are waiting to captivate you. Take in all the historic sights and get the background on the Spanish Empire that spanned the globe in the 16th and 17th-centuries. There are also countless little things that make Madrid memorable, whether that’s a café con leche in a stately square, drinks at a rooftop bar or a wander through the Retiro or Casa de Campo on a sunny day. Let’s explore the best things to do in Madrid:
*The PRADO
Absolutely essential, the Prado is one of the best and most popular art museums in the world. There’s an overwhelming collection of masterpieces by renaissance and baroque masters. Spain is represented by Velázquez and El Greco, the low countries by Rembrandt, Brueghel, van Dyck and Rubens, while Titian, Caravaggio, Botticelli and Tintoretto form the Italian contingent. Of the many must-see works are Bosch’s Garden of Earthly Delights and David with Head of Goliath by Caravaggio. The artist with most works hanging at the Prado is the Spanish Romantic Goya, whose 14 Black Paintings are a Spanish cultural reference point.
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*PUERTA DEL SOL
This grand square next to the Casa de Correos (Post Office Building) is a popular meeting place, suffused with meaning for both city and country. Nearly every Spanish person will recognise the clock at the top of the Casa de Correos, as this marks the televised countdown on New Year’s Eve. There’s a tricky ritual involved too: With every chime you’re supposed to eat a grape for good luck (12 in total). Also in the square the is El Oso y El Madroño statue, a symbol for Madrid since the Middle Ages.
*GRAN VÍA
If you’d like to get a sense of the city, a walk along the Gran Vía is a superb place to start. It’s Madrid’s entertainment, shopping and cultural nerve centre, a buzzing avenue often full of life until dawn. By day it throngs with shoppers stopping by the many malls, high-street stores like H&M and Zara and luxury boutiques. In the evenings there are couples arm-in-arm, stepping out to the cinema or a musical. And after dark the street pulses with many of Madrid’s top nightclubs. Sights to spot as you stroll include the vast Telefónica Building, built in 1928 and an early example of a skyscraper.
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Trip to Segovia Visit to Segovia.
Segovia is a city in the autonomous region of Castile and León, Spain. The city is famous for its historical buildings and for three main landmarks: its magnificent Roman aqueduct, its cathedral, one of the last Gothic temples to be built in Europe, and the castle, which was an influence for Walt Disney's Cinderella Castle. The city center of Segovia was declared World Heritage by the Unesco in 1985. It is the capital of Province of Segovia.
Trip to Toledo Visit to Toledo.
Toledo is a city and municipality located in central Spain; it is the capital of the province of Toledo and the autonomous community of Castile–La Mancha. Toledo was declared a World Heritage Site by UNESCO in 1986 for its extensive monumental and cultural heritage. Toledo is known as the "Imperial City" for having been the main venue of the court of Charles V, Holy Roman Emperor, and as the "City of the Three Cultures" for the cultural influences of Christians, Muslims and Jews reflected in its history. It was also the capital from 542 to 725 of the ancient Visigothic kingdom, which followed the fall of the Roman Empire, and the location of historic events such as the Visigothic Councils of Toledo. Toledo has a long history in the production of bladed weapons, which are now popular souvenirs of the city. People who were born or have lived in Toledo include Brunhilda of Austrasia, Al-Zarqali, Garcilaso de la Vega, Eleanor of Toledo, Alfonso X, Israeli ben Joseph, Halevi and El Greco. As of 2015, the city had a population of 83,226.[1] and an area of 232.1 km2 (89.6 sq mi). 14 “Maths around us” 2015-1-PL01-KA219-016511_1
*Links: dissemination activities We disseminated several activities in different ways: 1. City hall website article 2. Radio interview: https://www.youtube.com/watch?v=DLmJ-O-xqWY. 7 minutes. Cadena Ser Radio Madrid Oeste. “Hoy por Hoy” program. 3. Infozola: internal newsletter
*Conclusion The activities of the stage "Maths in games", have improved the mathematical skills, the English skill, ITC and social skills. They worked into international groups done according to the age and perceiving the problems in a joyful way, encouraging them to do their best, finding similarities and differences between the different environments of the five participating schools and countries, numerous activities and events have been organized. The students of the various countries have dealt with the funny theme of games comparing it with games that the grandparents and ancient cultures played and today 's. Knowledge of math use on it gave them a new vision. They learned about probability and angles, making a comparison between games at different countries. All mathematical and communication actions between students were conducted in English, which made students more aware of the importance of learning foreign languages and developing their language skills. Teachers had the opportunity to exchange opinions and experiences, to observe different teaching methods. By taking part in the activities, the pupils developed their social and cooperative skills by communicating and addressing the tasks in international teams. During this stage, Students working with computers and on the Internet have developed their ICT skills. Teachers have exchanged international experience in teaching and learning various topics, from mathematics to English or ICT. All the activities of the project have been positively realized both by the students and by the teachers. It can be concluded that the activities of "Mathematics in games" have been very successful from the point of view of participation and teamwork, with positive results.
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