Social functions of mathematics education: a framework for socio-political studies

In mathematics education, researchers have proposed a wide range of improvements of teaching practice in school, but only a few of these proposals have sustainably changed mathematics education in the desired form. This article takes off with the assumption that this gap between ideals and practice can be understood and challenged through a better understanding of the social functions of mathematics education. Functionalism is a sociological paradigm, which is based on the assumption that sub-systems of society support each other. The application of this theory to mathematics education seeks to illuminate the social connectedness of classroom practice and incorporates various studies from the field of mathematics education and beyond. Its originality lies in its ability to integrate and order results from many different socio-political studies in mathematics education and to identify research desiderata in the field. On this basis, I show that in spite of official discourses on the use-value of mathematics, we lack evidence that mathematics education is functional in providing socially necessary qualifications in mathematics. Instead, possible other functions of mathematics education such as the training of economically beneficial character traits, the legitimisation of mathematics as a social tool of power, the transfer of social advantages from parents to children, the training of a bureaucratic mentality and the projection of societal wishes and fears are discussed. The results do not only provoke further debate on educational goals of mathematics education but may form a basis on which to plan educational innovation with particular attention towards social constraints underlying mathematics education.     

COVID-19, mathematics education,and the evaluation of expert knowledge

Maturity and citizenship in a democracy require that laypersons are able to critically evaluate experts’ use of mathematics. Learning to critically reflect on the use of mathematics, including the acquisition of the mathematical knowledge and skills required to that end, has been repeatedly postulated as an indispensable goal of compulsory education in mathematics. However, it remained unclear in how far such reflection is possible, even for the well-educated layperson in mathematics. We use different discussions in German mass media on the pandemic policy in the SARS-CoV-2 crisis in 2020 as examples with far-reaching individual and social consequences. The selected discussions build heavily on mathematical concepts such as mortality rates, casualty numbers, reproduction numbers, and exponential growth. We identify the concepts and discuss how far they can be understood by laypersons. On the one hand, we found that some mathematical models are inappropriate, which can also be determined by laypersons. On the other hand, we found uses of mathematics where ideal concepts are intermingled with complex statistical concepts. While only the ideal concepts can be understood by laypersons, only the statistical concepts lead to actual data. The identification of both types of concepts leads to a situation where the use of mathematics evades social control and opens spaces for misconceptions and manipulation. We conclude that the evaluation of experts’ use of mathematics by laypersons is not possible in all relevant cases, and we discuss possible implications of this result.