The effect of Advanced Higher Mathematics on success within STEM degree-programs

Authors

Keywords:

Student success, STEM degree programmes

Abstract

To gain access to higher education degree programmes, Scottish domiciled students must obtain the relevant grades in Scottish Higher qualifications typically achieved in either of the final two years of secondary school (S5 and S6). However, for admission to some of the most competitive degree programmes at higher education institutions in the UK, Advanced Highers are sometimes required or recommended. However, there exists little published literature on the effect of Advanced Higher on students’ chances of success in higher education. This is relevant given that Advanced Highers are not compulsory and may not be available to every Scottish learner. This study fits Modified Poisson regression models to 10 years’ worth of student registration records at a single Scottish higher education institution. Results indicated that students on Mathematics and Statistics programmes and had an Advanced Higher in Mathematics were 36.1% more likely to progress at the end of their first year and 57.3% to complete their degree within four years, compared to their peers with just Higher Mathematics. For other Science and Engineering programmes, there was a significant interaction between having a Higher/Advanced Higher Mathematics qualification and whether or not it was recommended. Given these results, if access to Advanced Highers is found to be associated with socio-economic background, then this could undermine Scotland’s Widening Access agenda.

Author Biographies

Nathan Burns, University of Strathclyde

My research focuses on the academic outcomes of students in higher education. In particular, I am interested in the prediction/interpretation of these outcomes and their relationship with a student's contextual background: e.g. coming from a deprived area, coming from low-household income, having care-experience, or attending a school with low progression to higher education rates.

My research is particularly aligned with Widening Access initiatives within Strathclyde and other universities in Scotland, which aims to increase participation in higher education from more socio-economically disadvantaged groups. I am also open to collaboration with other institutions in and outwith Scotland/United Kingdom. For example, I currently work with the Lebniz Institute for Educational trajectories (LfBi), which looks at differences in educational attainment in the German population.

David Young, University of Strathclyde

Following a degree in mathematics and a PhD in statistics, David worked as a Senior Statistician for Sanofi Pharmaceuticals in Newcastle and Paris, before returning to academic research at Harvard University in Boston developing statistical algorithms to identify brain cells targeted by anti-psychotic drugs. After a two-year contract with the Robertson Centre for Biostatistics at the University of Glasgow as a Statistician/Data Manager, David took up a joint post as lecturer in the Department of Mathematics and Statistics at the University of Strathclyde and Consultant Statistician for the NHS.

Louise Kelly, University of Strathclyde

I graduated from the University of Strathclyde in 1992 with BSc (Hons) degree in Mathematical Sciences. I then went on to do a PhD at Strathclyde, in Mathematics and Statistics. I was awarded my PhD in 1996 and my thesis was entitled: Listeria monocytogenes in Silage: A mathematical modelling approach. Following my PhD, I started my career as a Risk Assessor with the Veterinary Laboratories Agency (VLA). The VLA was an Executive Agency of the Department for Environment Food and Rural Affairs (Defra) in the United Kingdom Government. It is now named the Animal and Plant Health Agency (APHA). I was  employed with APHA on a part-time basis until 2023. During my time at VLA/APHA I  developed and managed many veterinary and public health risk assessment and mathematical modelling projects relating to, for example, bovine tuberculosis, bovine brucellosis, foot and mouth diseease, bluetongue, camplyobacter, salmonella, rabies, avian influenza and COVID-19. I worked as an expert for the World Health Organisation, The food and Agricultural Organisation of the United Nations, the European Food Safety Authority  and European Animal Health Office. I  also ran numerous risk assessment courses in, for example, the United States, China, Thailand and Europe.

 

In 2002, I returned to the University of Strathclyde as a Lecturer in Statistics whilst maintaining my research links with VLA/APHA through a joint appointment. Since 2020 my main area of research has been focused on higher education outcomes and their association with deprivation and other equality characteristics. I am particularly interested in the effects of Widening Access measures.

References

Arulampalam, W., Naylor, R.A., Smith, J.P., 2004. A Hazard Model of the Probability of Medical School Drop-out in the UK. Journal of the Royal Statistical Society. Series A (Statistics in Society) 167, 157–178.

Borland, B., 2023. More than one in 10 schools no longer offer Advanced Higher England and Maths [WWW Document]. Scottish Daily Express. URL https://www.scottishdailyexpress.co.uk/news/scottish-news/more-one-10-scots-schools-29536024 (accessed 2.1.24).

Burns, N.P., Young, D., Sherriff, A., Black, P., Blackshaw, A., Kelly, L., 2025. Tracking the Success of Contextual Offer Students at One Scottish Higher Education Institution. Higher Education Quarterly 79, e70011. https://doi.org/10.1111/hequ.70011

Croxford, L., Docherty, G., Gaukroger, R., Hood, K., 2014. Widening Participation at the University of Edinburgh: Contextual Admissions, Retention, and Degree Outcomes. Scottish Affairs 23, 192–216. https://doi.org/10.3366/scot.2014.0017

Johnson, J., Hayward, D.G., 2008. Scottish Highers and Advanced Highers.

MacFarlane, K., 2018. An Evaluation of the Advanced Higher Hub: The Learner Perspective.

Phipps, S., 2018. ‘Postcode lottery’ of Scotland’s Advanced Highers [WWW Document]. SecEd. URL https://www.sec-ed.co.uk/content/news/postcode-lottery-of-scotland-s-advanced-highers/ (accessed 2.12.24).

R Core Team, 2023. R: A Language and Environment for Statistical Computing.

Scottish Credit and Qualifications Framework, 2023. Interactive Framework [WWW Document]. Scottish Credit and Qualifications Framework. URL https://scqf.org.uk/about-the-framework/interactive-framework/ (accessed 11.2.23).

Scottish Government, 2020. Scottish Index of Multiple Deprivation 2020: introduction [WWW Document]. URL http://www.gov.scot/publications/scottish-index-multiple-deprivation-2020/ (accessed 10.6.23).

Scottish Government, 2016. Scottish Index of Multiple Deprivation 2016 - gov.scot [WWW Document]. URL https://webarchive.nrscotland.gov.uk/20190708060827/https://www2.gov.scot/Topics/Statistics/SIMD (accessed 3.17.22).

Scottish Government, n.d. Scottish Index of Multiple Deprivation (Historical) - 2004-2012 [WWW Document]. statistics.gov.scot. URL https://statistics.gov.scot/data/scottish-index-of-multiple-deprivation-historical-i (accessed 2.8.22).

Scottish Qualifications Authority, 2009. Introducing Advanced Highers.

Scottish Qualifications Authority, n.d. A to Z of National Qualification (NQ) subjects [WWW Document]. URL //www.sqa.org.uk/sqa/CCC_FirstPage.jsp (accessed 2.21.24).

The Herald, 2018. Warning over lack of access to Advanced Highers for poor pupils [WWW Document]. The Herald. URL https://www.heraldscotland.com/news/16218177.warning-lack-access-advanced-highers-poor-pupils/ (accessed 2.1.24).

University of Edinburgh, 2023. Undergraduate Study 2024 Entry | SQA Highers and Advanced Highers [WWW Document]. The University of Edinburgh. URL https://www.ed.ac.uk/studying/undergraduate/entry-requirements/scottish-qualifications/highers (accessed 2.15.24).

University of Glasgow, 2023. University of Glasgow - Undergraduate study - Information about entry requirements - 2024 Admissions guidance [WWW Document]. gla.ac.uk. URL https://www.gla.ac.uk/undergraduate/entryrequirements/guidance/ (accessed 3.28.24).

University of Oxford, n.d. Response to Scottish Qualifications Reform | University of Oxford [WWW Document]. URL https://www.ox.ac.uk/admissions/undergraduate/courses/entrance-requirements/response-scottish-qualifications-reform (accessed 11.2.23).

University of Strathclyde, 2024. Subject Guidance for the Senior Phase

Wickham H, Averick M, Bryan J, Chang W, McGowan LD, François R, Grolemund G, Hayes A, Henry L, Hester J, Kuhn M, Pedersen TL, Miller E, Bache SM, Müller K, Ooms J, Robinson D, Seidel DP, Spinu V, Takahashi K, Vaughan D, Wilke C, Woo, K, Yutani H, Wickham H, Bryan J, Chang W, McGowan LD, François R, Grolemund G, 2019. “Welcome to the tidyverse.” Journal of Open Source Software 4, 1686. https://doi.org/10.21105/joss.01686

Zeileis, A., 2006. Object-Oriented Computation of Sandwich Estimators. J. Stat. Soft. 16, 1–16. https://doi.org/10.18637/jss.v016.i09

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Published

2025-11-14

How to Cite

Burns, N., Young, D., & Kelly, L. (2025). The effect of Advanced Higher Mathematics on success within STEM degree-programs. MSOR Connections, 24(1). Retrieved from https://journals.gre.ac.uk/index.php/msor/article/view/1582