• Give a variety of challenges and use different equipment (physical objects, pen, ruler and compass, DGS), in order to take account of the pupils’ different attitudes and learning styles( challenge, technology, support)
• Stimulate interest, curiosity, motivation (fun, motivation)
• Apply mathematical knowledge to real life situations (real world)
• Invite pupils to develop their own projects, to share their ideas and knowledge and help them (self guided learning, cooperation)
• Help pupils to construct meaning from their own experiences, knowledge and strategies and to connect their prior concepts to more “scientific” concepts.

• Exploring quadrilateral properties with cardboard models.
• Exploring quadrilateral properties with CABRI
• Studying the geometrical transformations starting from the shadow phenomenon.
• Free drawings and tessellesions with CABRI
• Fractals
• Turtle geometry (LOGO): writing procedures for regular polygons (focus on the angle concept)

Bibliography: E. Castelnuovo, La Nuova Italia, Matematica: Numeri e figure, 1989