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1. Math, Art and Real Life through Geogebra 

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1. Math, Art and Real Life through Geogebra 

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The project ties Math, Art and Real Life  with GeoGebra. The students develop in depth Math concepts embedding Math to Arts,  Real Life Objects (RLOs) or Games. They find Math in paintings, games, RLOs using a dynamic software: GeoGebra and acquire Math, Social, Languages, Arts Skills, entrepreneur competences. They produce their outcomes while having fun. They nurture their creativity and their ideas while fostering interest to Math. The teachers collect the students’ works in GeoGebra books, or visual stories, or publications,  or  videos  in the TwinSpace or in a common GeoGebra space, “their e.Gallery”, where they can get inspired by other works. The teachers instead can share their ideas  on math topics  as well as activities outside the  curricula and compare teaching and learning strategies, prepare collection of Math  lessons related to the different topics of this TS and share  evaluation and assessment.  The project engaged students of different age range from 10 to 17.

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For better scheduling our activities!

T: teachers involved       S: students involved

January 2018/february 2018:

Adding school to the map -> https://twinspace.etwinning.net/45383/pages/page/265361 (T)

Inviting more students to the TS - presentations -> https://twinspace.etwinning.net/45383/pages/page/269732(T)

Wishes for the new year in GeoGebra -> (not more than 4 embedded, then take the third page) (S)

start of common collection of GeoGebra maths tools that WE have created (with a short description) -> (T) https://twinspace.etwinning.net/45383/pages/page/330938

start of adding resources a collection of Geogebra tools from other persons (T)-> https://twinspace.etwinning.net/45383/pages/page/265387

Trying out ideas from work that is in the TS, upload of students work and a short evaluation report (T,S)

​February/march 2018:

​Geogebra competition: funny faces (as some of us celebrate carnival)  in a common booklet and on GeoGebra website dynamically or not (S)

continuation of  the common collection of GeoGebra maths tools that WE have created (with a short description)  (T)-> https://twinspace.etwinning.net/45383/pages/page/330938

continuation of adding resources a collection of Geogebra tools from other persons (T)-> https://twinspace.etwinning.net/45383/pages/page/265387

​March 2018:

Modelling flags (if possible dynamically) in the suitable dimensions of the participating country (S)

PI day activity with Geogebra (if possible)

​Geogebra competition ​

Logo for the TS - all interested countries upload two best logos to the TS page (S)

​April 2018:

Adding own files see https://twinspace.etwinning.net/45383/pages/page/330938

Commenting links from the internet (matrerial/videos) see https://twinspace.etwinning.net/45383/pages/page/265387

Short comments from teachers about the different activities (short evaluation note) (T)

Starting to create logos (T)

​Voting for the competition from 20th to 30th april 2018  (T) done with google spreadsheets

​Students' and teachers' concrete comments on the padlet! (T), (S)

​Please motivate colleagues, parents to write s.th. in the guest book.

May 2018:

Winners of the competition are announced

New logo will be used and implemented in the TS

Final evaluation by teachers and students​

Tasks from other schools are finished

Application for the National eTwinning Quality Label

​Of course, new material can be aded later than may 2018.

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Where are the schools and students from?
-"Pestalozzi" Gymnasium - Unna (DE),
-Privātā vidusskola "KLASIKA"- Riga (LV),
-"Jean Monnet" High School-- Bucharest (RO)
-"IIS "Tommaso Salvini"- Rome (IT)
-IES "Schamman"- Las Palmas de C.G. (ES)
-College les "Eyquemes"-Merignac (FR)
--IES "LOS Cerros"--Ubeda (ES)

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Our Common GeoGebra Space. My student called it "Our Common e.Gallery"

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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5.1.2 Our Common GeoGebra Space and 5.2 Funny Faces and 5.3 Winners(see directly TS)

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5.1.2 Our Common GeoGebra Space and 5.2 Funny Faces and 5.3 Winners(see directly TS)

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My GeoGebra Books and inside there even the same links of the subpages funny faces. In light blue the works of the Italian Students and teachers

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This is a list of all GeoGebra Books that are a collection of common work according to a special topic.pdf

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Italian students solved tasks from other partner schools and proposed with me a task too.
1) Sending task DE Reflection, rotation and/or translation and ART, solving task IT;
2) Sending task DE Files to teach the topic "intercept theorem", solving task IT and  LT;
3) Sending task RO String Art, solving task IT;
4) Sending Task IT Lines in Modelling  Real Life  solving task RO.

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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5.6.2 Three Italian students were chosen to partecipate  to the TS logo contest by an Italian Commission

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5.6.2 Three Italian students were chosen to partecipate  to the TS logo contest by an Italian Commission

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5.6.3 The winner "Simone Bianco" IT- his logo represents the project

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5.6.3 The winner "Simone Bianco" IT- his logo represents the project

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”The circular shape is divided in three parts, all different from the others, each of them filled with one of the RGB. Each of them has a meaning: the circumference represents the terrestrial planisphere, while the colours represent the universal ‘Whole’. The circle’ s division into unequal parts represents the diversity of each individual, yet still similar to others”.

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The students exchanged impressions on the other students outcomes what they liked and so on. Some Italian students wrote their impressions...

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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Teachers shared opinions about the project and you can find my opinion too.

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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Geogebra a mighty didactic tool the subpage our  Geogebra books is described in 5.1.2

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We had little chance to work on this page the Italian students decided together to upload Mauritius Cornelis Escher. Many of his lithographies offer inspiration

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We worked on String Art. The Italian students worked hard on this task and had fun in creating an artwork

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Paintings, graphics, objects from real life are used to construct and model with GeoGebra. By this topics from math, art and other subject can be detected and learned by students. We will gather construction from students that are embeded in this TS and GeoGebra books as Collection of class results.

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Students will locate real world pictures by using Geogebra softwareand they will try to find a model using e.g. functions or transformations that fits on them. In this way they will keep in mind that anytime mathematics is used to approximate reality.

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The Italian students with I had developed on linear function a GeoGebra Book. Inside are different activities from the teaching learning activities through GeoGebra App and there outcomes embedded to Real Life Objects

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Let's study together linear functions exploring the meaning through geogebra

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9. bAlways about Real Life Objects and linear functions

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9. bAlways about Real Life Objects and linear functions

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9.c Models, simulations of Real Life and Gothic and Roman windows in churches 

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9.c Models, simulations of Real Life and Gothic and Roman windows in churches 

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The  quatrefoil is constructed by circular shapes.

It was used in Gothic and Roman style church as well as recontextualized in a phenomenon to which architectural and art historians refer as “iconographical drift.”  The Italian students had fun constructing the quadrifoil of a Gothic hurch Window

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9. d Every day objects and transformations

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9. d Every day objects and transformations

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The geometry of all these objects has to do with transformations. GeoGebra book : this task is to project an art work or every day objects that contains transformation. Italian students worked on the different activities and produces their own outcomes

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The task is to project an art work, that contains transformations and boolean values in geogebra script for animation.

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Click on the picture and you'll see what happens to Riccardo's citron squeezer

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After learning how to build a TANGRAM, the students-artists (IIS T. Salvini 2D) worked on their Art Works. Each of them wrote a caption to explain the meaning of their outcomes transforming the geogebra booklet in an e.gallery

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The 2ndD, ISS Tommaso Salvini" Technological Pole of Rome, Italy, is partecipating on eTwinning project "Math, Art and Real Life with GeoGebra" wit...

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9 and 10 GeoGebra beyond the curricula and a Tribute to Hawking

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9 and 10 GeoGebra beyond the curricula and a Tribute to Hawking

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I thought of "A tribute to Hawking" and I created a page for Spirals and not only were to upload  learning units about spirals. My colleague Angela and I thought about the spiral of Theodorus. I   think it is interesting the extra materials and activities in GeoGebra beyond the cutticula too. I enjoy these videos of Vi Mark. She is such an inspiration:  "Doodling in Math: Spirals, Fibonacci, and Being a Plant "- Part 1 of 3-  Part 2 of 3- Part 3 of 3- by Vi Hart

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The Italian activities are coloured in blue

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We build up a collection of files and worksheets that we have created ourselves for visualisation and better understanding of maths topics. My favourite lessons are coloured in blue

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Monika's nice idea to have some Art teachers view our TS and give us ideaa and comments Mr Paolo Vidau an Italian art teacher and colleague in my school, went through the TS with me and gave us some suggestions. Niice ideas from other Art teachers of the partner schools too.

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Interest resources from internet. I find very interesting CCSS High school and the development of the cores through GeoGebra

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I found it stimulating to compare and collaborate with other teachers about these topics