Statistics and Mechanics: Comparing the Applied Mathematics of international Mathematics qualifications

Abstract

This article reports on data collated as part of a large-scale study investigating how A level Mathematics and Further Mathematics prepare students for the mathematical demands of university study in a range of subjects. We investigate and compare the applied mathematical content (Mechanics and Statistics) in a range of international Mathematics qualifications and conclude that the A level has notable differences to similar qualifications in other jurisdictions. In particular, the existing modular structure at A level introduces significant variability into the mathematical backgrounds of students studying what is theoretically the same qualification. Although this problem will be rectified by the introduction of prescribed content from 2016, two other differences emerged during this investigation. First, whilst Mechanics content at A level is primarily studied in Mathematics and/or Further Mathematics, in nearly every other jurisdiction this content is studied within the Physics course. Secondly, there appears to be no international consensus about what statistical content is taught at this level. These findings may have implications for ongoing reform at A level, particularly with respect to the applied content in Further Mathematics, and may also prove interesting for employers and universities with a global reach who currently use Mathematics qualifications for admissions or recruitment purposes.