Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling in mathematics teaching at schools and universities, and identify certain schools of thought within mathematics education. Part 3 will describe the role of modelling in present mathematics curricula and in everyday teaching practice. Some obstacles for mathematical modelling in the classroom will be analysed, as well as the opportunities and risks of computer usage. In part 4, selected materials and resources for teaching mathematical modelling, developed in the last few years in America, Australia and Europe, will be presented. The examples will demonstrate many promising directions of development.

Growing through Connections – A Multi-Case Study of Two Alternative Food Networks in Cluj-Napoca, Romania

In a context of urgent global socio-ecological challenges, the aim of this paper has been to explore the potential of localised and socially connected food systems. More specifically, through a multi-case study of two alternative food networks in the city of Cluj-Napoca, Romania, their contribution to a sustainable food paradigm has been explored. An important synergy within the networks is how good food is equated with peasant produce, but issues regarding quantity, delivery arrangement, power relations and inclusiveness constitute potential conflicts. Although challenged by unfavourable trends on national and EU levels, the networks are becoming more embedded horizontally, through an intrinsic focus on community in one case and through quality food stimulating good relations in the other case. The networks contribute to a sustainable food paradigm by promoting agroecology, by reclaiming socio-cultural factors of food provisioning and by being part of a (re)-peasantisation process. Exploring how these kinds of initiatives can emerge, be sustained and be developed is of relevance, especially considering their potential for improving the prospects of environmentally sustainable and socially just futures in Romania and beyond.