Applications and modelling in mathematics teaching

The aim of this paper is a comprehensive presentation of some important basic and general aspects of the topic applications and modelling, with emphasis on the secondary school level. Owing to the review character of this paper, some overlap with the survey paper Blum and Niss (1989) for ICME-6 in Budapest is inevitable. The paper will consist of three parts. In part 1, I shall try to clarify some basic concepts and remind the reader of a few application and modelling examples suitable for teaching. In part 2, I shall formulate some general aims for mathematics instruction and, on that basis, summarise the most important arguments for and against applications and modelling in mathematics teaching. Finally, in part 3, I shall discuss some relevant instructional aspects resulting from the considerations in part 2.

Reciprocal and wage labour in rural Ecuador. A quantitative analysis

This paper analyses the determinants for rural Ecuadorian households to participate in community works, to exchange labour, and to use paid labour. The results show that participation in community work is more common among indigenous peoples who are more committed with community and live in areas with relatively high population densities. Exchange labour agreements are more common among indigenous households settled in areas where industrial agriculture has not penetrated yet. Instead, paid labour is used by small and educated households which have access to credit.