The aim of the project is to improve the language and

methodological skills of teachers and to improve the quality of

school work by developing key competences in the field of

mathematics, foreign languages and students' IT skills.

Am I a Vitruvian man?

project by Jolanta Dobrowolska

Math teacher

Primary School No 3 Janusz Kusociński in Legionowo implements

a co-financed project from European Funds: "Łączą nas różnice"

ERASMUS +, POWER

2016-1-PL01-KA101-024831

This project was created as part of the course "Mathematics combines

the differences" implemented in class 6b with the innovation of

English.

Jolanta Dobrowolska

I would like to thank our partners this project - teachers

for kindness, help and commitment in the implementation

of this project:

KATARINA IVANOVIĆ-OŠ "Stevan Dukić", Београд /

Beograd Serbia (Primary School)

FERHAT KÖKLÜ- Kaşgarlı Mahmut Ortaokulu,

Selçuklu Turcja (Secondary School)

Main goal of the project:

Checking whether the rule of Vitruvius (the height of an adult man

equals approximately the width of his spread arms) is valid among

thirteen-year-old students

Objectives:

· Developing key competences: mathematical and basic scientific and

technical competences, IT competences, and communication in a

foreign language.

· Developing reading comprehension skills for texts in various fields of

knowledge.

· Developing the skills of searching, ordering and interpreting data

and drawing conclusions from the measurements and calculations.

· Developing skills to create a Microsoft Excel spreadsheet and

formulas and graphs in this program.

· Developing artistic skills while preparing the logo and the final

drawing.

· Raising motivation to learn mathematics and English as well as class

results through participation in the project.

· Realizing the differences and similarities between students of similar

age, developing tolerance and international cooperation.

In accordance with the assumptions of the project implemented with

the school in Turkey and in Serbia, we exchanged information about

our countries, cities in which we live and our schools.

OŠ "Stevan Dukić", Београд / Beograd Serbia

Kaşgarlı Mahmut Ortaokulu, Selçuklu Turcja

It was amazing for both students and me to learn about partner

schools, their culture and traditions. Above all, however, participation

in this international project has mobilized us to use English to

communicate and create presentations. Thanks to the work on the

project, the participants realized the differences and similarities

between pupils of similar age, developed tolerance and international

cooperation.

My students are 13 years old and are wondering if the Vitruvius rule will be

confirmed by their friends and colleagues of the same age? Can a 13-year-old

pupil of our school be entered in a circle and a square when he stands

upright? - as Witruwiusz described in the book "On the architecture of books

10". Students want to get acquainted with the biographies of Vitruvius and

Leonardo da Vinci, who is the author of the drawing "Vitruvian Man" and

prepare a presentation in the Power Point program about the project. The

data collected during the measurements will be placed in a Microsoft Excel

spreadsheet and we will learn whether a student aged 12-13 is a Vitruvian

man. At the end, we would like to make a poster and draw an average

thirteen-year-old from our school and put it in a circle and a square - like

Leonardo.

Measurements at school in Turkey

Measurements at school in Beograd

Measurements at school in Poland

On the basis of the measurement results introduced to Excel, we

received the average height and span of students' arms from

three schools.

L.p. Height (cm) a

Shoulder length (cm)

b a - b a : b School in

Average 157,89 158,06 -0,17 1 Poland

Average 168,25 167,05 1,2 1,01 Serbia

Average 152,22 152,31 -0,16 0,89 Turkey

During the classes, the teachers talked with the students about

the biographies of Vitruvius and Leonardo da Vinci

We were looking for information about the life and work of

Vitruvius and Leonardo da Vinci. We watched films and

presentations about the golden division and proportions of the

Man of Vitruvian. In Excel, we made calculations and it turned

out that with slight deviations, the proportions of students in

Poland, Turkey and Serbia meet the Vitruvius rule.

Leonardo di ser Piero Marcus Vitruvius Pollio

da Vinci (15.04.1452 - 2.05.1519) żył w I w. p.n.e.

Proportions of the Man of Vitruvian

At the end of the project, a picture of a vitruvian man was made

at the age of 13 - specifically, our Vitruvian girl.

The project was attended by:

Weronika Ostaszewska

Piotr Nasiłowski

Jakub Graczyk

Lidia Piekutowska

Ewelina Kwiatosz

Bartosz Niewiatowski

Dominika Deplewska

Mikołaj Zakolski

Julia Kochanek

Filip Kotowski