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09995. 32 - Descartes at the Botanical Garden. Mathematical exploration of the garden
mercredi 12 juin 2019
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PROJECT
To build in a playful and accessible way an alternative, durable and transferable pedagogical approach to some mathematical concepts (Cartesian and polar coordinates, trigonometry) starting from codified movement activities in the garden

PUBLIC
This methodology was experimented in the Botanical Garden of the University of Padua, Italy, with learners showing learning difficulties from the High Schools of Padua and Trieste, Italy, and the participation of the European teachers carrying out their peer-to-peer training mobility, from 14 to 18 May 2019.

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KEY COMPETENCES
- Communication in the mother tongue
- Scientific and mathematical competences
- Learning to learn
- Social competences and citizenship

OBJECTIVES
- To use the playful character of the activity to facilitate the learning of competences
- To motivate moments of communication and exchange in the group
- To arouse interest and curiosity for observation and Geometry
- To understand, memorize, render the experimental mechanism, rally all the available knowledges of Maths and Geometry
- To facilitate the ability of self-evaluation

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GARDEN EXPLORED
The Botanical Garden of the University of Padua

MATERIALS
- Pen, ruler, metrical ribbon, calculator, A4 paper
- Map of the Botanical garden
- 7 wok reports for each group of 3 or 4 students
- Goniometer

DEVELOPMENT The students are divided in teams of 3 or 4 participants flanked by a teacher/coordinator and a ’judge’ for each group, who must validate the successful implementation of the experimentations describe in detail in the following cards :
- cards 1, 2, 3, and 4 : they refer to the exploration of the concept of Cartesian coordinates
- card 5 refers to the exploration of the concept of polar coordinates
- card 6 contains hints of Trigonometry
- card 7 is a feedback sheet for each group to report the results of the experimentation.

EVALUATION
It takes into account the ability to :
Master the oral and written communication in the mother tongue
- reinforce the ability to read and comprehend a normative text
- be able to present one’s own work and support one’s choices

Develop mathematical competences
- encourage the learning of analytic Geometry by using a Cartesian plane
- encourage the learning of Geometry applied to a real context

Develop social and civic competences
- encourage the collaboration within the group of work respecting the subdivision of tasks
- ongoing assessment of the operational dynamics of each student and of the group

Learn to learn
- favour the ability to debate on the outcomes and self-evaluation
- develop competences of observation
- assess the degree of awareness of the students at the end of the activity

AUTHORS Silvia Losso Acquamarina Associazione, Trieste, Italy

TRANSLATER
Mary Gino
Acquamarina Association, Trieste, Italie

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