Sequences – Basic Elements for Discrete Mathematics

Abstract: Sequences are fundamental mathematical ob-jects with a long history in mathematics. Sequences are also tools for the development of other concepts (e. g. the limit concept), as well as tools for the mathematization of real-life situations (e. g. growth processes). But, se-quences are also interesting objects in themselves, with lots of surprising properties (e. g. Fibonacci sequence, sequence of prime numbers, sequences of polygonal numbers). Nowadays, new technologies provide the pos-sibility to generate sequences, to create symbolic, nu-merical and graphical representations, to change between these different representations. Examples of some empiri-cal investigation are given, how students worked with sequences in a computer-supported environment. Kurzreferat: Folgen sind grundlegende mathematische Objekte mit einer langen Entwicklungsgeschichte in de