Mathematical Modelling of Real-World Phenomena

Mathematical modelling as use of mathematics to solve or deepen understanding of real-world problems is an inherent part of mathematics, and education research in this field is increasingly important. This chapter critically reviews mathematics education research, from the early years through to tertiary education, and related curricula documents published by Australasians or with particular relevance to Australasia. Contributions to the field are organised in six broad areas: (i) developments in curricula on the teaching of mathematical modelling intended to promote mathematical thinking and ways of working, (ii) practices of mathematics and practices of mathematical modelling, (iii) teacher preparation and professional learning, (iv) assessment of mathematical modelling, (v) interdisciplinarity and connections with data modelling, and (vi) research as design: honouring the mathematics in mathematical modelling.