Of the Nature of Math and Math in Nature – a Sequel About Symmetry for Children and Adults

The paper describes activities for developing the notion of symmetries. The activities were performed by a group of children between the ages of 5 and 9 and a parent of two of them. Through play and active work the group explores symmetries in sports, architecture, biology, language, music and mathematics. The activities were carried out outdoors in nature. Ideas for complementary activities with computers are presented. As a result the children demonstrate the ability to recognize symmetries in areas and situations different from the ones set in the activities they performed. This proves the main thesis of the paper: the nature of mathematics can be captured successfully in an informal environment at any age.