Communication in mathematics lessons. (English)

Rogerson, Alan (ed.), The mathematics education for the future project. Proceedings of the 13th international conference ‘Mathematics education in a connected world’, Catania, Sicily, Italy, September 16‒21, 2015. Münster: WTM-Verlag (ISBN 978-3-942197-44-1/pbk; 978-3-942197-86-1/ebook). Conference Proceedings in Mathematics Education 1, 85-94 (2015).

Summary: Communication is one of the famoust people’s cultural techniques. It exists in several kinds. And oral outcomes could be created in different ways and kinds, too. There are outcomes with descriptive character, but also other with inzitative or inventive character. The both last are directed for initializing comments and reactions by the participants of communication. The first does not do so. But these various aspects are not found in mathematics lessons in generality. Pupils’ oral outcomes are often rarely and reduced of single words or fragments of sentences. Communication with a descriptive character has a majority all over the complete processes of communication in mathematics teaching. That is the reason to think about possibilities for intensivation processes of communication in mathematics teaching directed especially to processes with inzitative or inventive character. One important part of mathematics lessons is the process of mathematical modelling. It is a very complex process and pupils should be able for communication with other pupils if they like to solve the complete process successful. In the report the descriptive, inzitative and inventive aspects of communication shall be described with the help of examples. Also potencies for communication shall be shown for the process of mathematical modelling on the one hand. Possibilities for teaching mathematical modelling in lessons of mathematics with the aim of initialing processes of communication between pupils shall are described on the other hand. The potencies shall are focused on special kinds of working as heuristic-experimental working, object oriented modelling and using analogies especially for geometrical contents and backgrounds.