The influence of technology on the mathematical modelling of physical phenomena

A study is presented in which students are asked to model two physical phenomena using applications on electronic tablets : a bounce of a ball and the extension of a spring. The analysis focusses on (a) the influence of characteristics of the applications on the tablets on the decisions that groups of 16-year-old students made during the modelling phases in which reality and mathematics are related, (b) mathematisation of the phenomena and (c) interpretation of the models. The phenomena were recorded using an app that requests users establish a set of references during the mathematisation process, which makes students focus on the way the references have been set to interpret the model properly. Our findings indicated inconsistences between student decisions made during mathematisation and their considerations during interpretation of the model. To conclude we suggest reasons students experience problems in working without a pre-defined reference syste

Mathematical modelling - background and current projects in Germany

Mathematical modelling is an important field of research in mathematics education in Germany and a key competence in educational standards. The significance of modelling problems in schools and teacher training has increased in the past few decades with various research projects. This article aims to clarify important aspects of the current status of mathematical modelling in the German speaking world. The background to the German modelling discussion will be set out and the current significance for modelling in German educational standards presented. Research projects on the measurement of modelling competence, the use of digital and strategic tools and research on teacher training are described. Various modelling cycles are also presented and their goals and use under various circumstances outlined. The situation in schools is set out and current and future fields of research identified

Konkrete Einsatzmöglichkeiten von DERIVE im Mathematikunterricht

Materialien des Workshops 4 auf der T³-Regionalkonferenz Münster vom 19.02.200

Eisensteinreihen auf dem dreidimensionalen hyperbolischen Raum und Zetafunktionen

Available from TIB Hannover: RO 8934(24) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman