Abstract:

Everybody should have opportunities to experience mathematical learning, solve challenges, and become more knowledgeable. Indeed, governmental recommendations present in the introduction of the mathematics Portuguese curriculum state that “No human being should be deprived of the opportunity to learn and benefit from the unique scientific and cultural heritage that mathematics represents” [1, p. 2].

We have designed a mathematical trail, in the village of Vieira de Leiria, in which geometric/mathematical elements stand out. Our aim is, first of all, to promote the interest in the study of mathematics, through observation of the surrounding environment, in particular of outdoor elements with decorative art. We also intend to establish mathematical links that make mathematics a useful, important subject, with connections to the world arounds us.

The trail has an educational component and explores specific topics of the mathematics curriculum of the 5th and 6th years: isometries and symmetry. This activity, in the form of a rally-paper with a sequence of challenges and problems along the trail, encourages students to explore the concepts in a different, more playful and interactive way. Furthermore, it involves students in the discovery, preservation and enhancement of Portuguese heritage.

In order to assess the perceptions of the students regarding the pedagogical approach used in the experience, a questionnaire was applied. This paper describes this teaching experience and the main results of the applied questionnaire. We conclude that this teaching experience had a very positive impact on the students, contributing to a better understanding of the covered curriculum, the importance of mathematics and its relation to everyday life, as well as feeling more motivated to study mathematics.

Keywords:

Mathematical trail, mathematical tourism, teaching resource, meaningful learning, Vieira de Leiria, isometries, symmetry.