Lady Literate in Mathematics
Did you know that the University of St Andrews created one of the world’s first higher educational qualifications for women, allowing them to study university-level mathematics long before they were admitted onto degree courses in Scotland?
The Push for Female Higher Education
Prior to the nineteenth century, it was rare for women to be admitted to, or receive, a degree from a higher educational institution anywhere in the world. The teaching of university-level mathematics was no exception, and this situation continued well into the mid-1800s. It was argued by some, including women, that studying for and sitting examinations would be detrimental to the physical and mental health of female students, thus threatening their reproductive capability and, by extension, the future of humanity.
The movement for the advancement of female education in the United Kingdom was championed by individuals such as Mary Wollstonecraft in her 1792 book A Vindication of the Rights of Woman and nineteenth century politician John Stuart Mill in his essay The Subjection of Women. Under pressure from ladies’ educational associations across the country, higher educational institutions and schemes were created specifically for women.
The first institution to award academic qualifications to women, Queen’s College London, was founded in 1848, and was swiftly followed by Bedford College in 1849, now a part of the University of London. Furthermore, in 1866 the London Ladies Educational Association successfully pressured the University of London to award higher educational certificates to female students, while the Medical Act 1876 allowed medical authorities to grant licences to any individual regardless of gender. Additionally, throughout the mid to late 1800s, local lecture series were routinely organised for women, often hosted by university academics.
Lady Literate in Arts Scheme
In 1877, the University of St Andrews created the Literate in Arts (L.A.) higher education certificate, a pioneering distance learning qualification aimed at women. The L.A. was initially proposed to the University Senate, the governing body of the University, in 1876, and from 1878 the certificate was presided over by Professor of Moral Philosophy, William Angus Knight. The L.A. was renamed L.L.A. (Lady Literate in Arts) in 1880 due to the University of Edinburgh granting the title of L.A. to students who had attended classes at the university for two years.
Initially, a wide variety of subjects including mathematics, astronomy, history, French, and German were offered to students, with passes in four subjects (one of which had to be a language) necessary to achieve the L.A.. For the L.L.A., in 1886 the number of subjects required was raised to one each from five groupings; in 1887 it was again raised to seven subjects, with one taken at honours level. This change to the L.L.A. certificate brought it in line with the University’s M.A. degree.
Previous to 1883, examinations for the scheme were held at designated assessment centres in St Andrews, Dundee, London and Halifax. However, a provision to the regulations of the L.L.A. scheme from 1883 onwards allowed examinations to be taken anywhere in the world, provided that a suitable candidate such as a headmistress or church minister could act as an invigilator. Examinations were soon taken in countries such as South Africa, India, and Australia.
The L.L.A. was classed as a diploma but was regarded as comparable to a degree. This viewpoint was made clear by the university itself:
The possession of the L.L.A title by women, while not equivalent in privilege to the procession of the degree of M.A. after attendance at the Classes of the University, shall, nevertheless, be regarded as a University degree, inasmuch as the standard of examination shall be precisely the same as that which Masters and Mistresses of Arts have to pass – the two examinations being simultaneous in time, and in the cases in which the subjects selected by the candidates are those taught at the University, the same papers being given out.
Women who held the title of L.A./L.L.A. were highly regarded in academic circles. In 1879 the Teacher’s Training Syndicate at Cambridge accepted the L.L.A. Examination as equivalent to graduation, while in 1887 the Ministry of Public Instruction in France viewed certificate holders as eligible to teach in French schools. In 1890 the General Medical Council allowed certificate holders exemption from a preliminary exam for entry to medical school.
Mathematics and the L.L.A.
In mathematics, both the L.L.A. examinations and the degree examinations were composed of pass standard and honours standard papers. At pass standard, the L.L.A. and honours papers were similar in difficulty. They each examined the topics of geometry, co-ordinate geometry, algebra, and trigonometry. At honours standard, there were noticeable differences in the material examined. For example, in 1898 the L.L.A. exam paper asked candidates to integrate and differentiate a selection of functions, whereas in 1898 the degree examination asked candidates to solve a variety of differential equations. Additionally, questions on spherical trigonometry and systems of equations were asked in the honours degree examination which were not asked in the L.L.A. honours examination.
The divergence in topics examined at honours level between the L.L.A. examinations and the degree examinations somewhat contradicts the assertion from the university that each qualification was of the same standard. At pass standard the content was indeed identical, however at honours standard the L.L.A. papers were easier. Even so, the material examined in L.L.A. papers was still challenging and is comparable to sections of St Andrews mathematics courses today. For example, in today’s degree programmes binomial expansions are taught in the first year, while diverging and converging series and in the second year. These topics were covered in L.L.A. examinations. Furthermore, many of the geometry questions would be difficult for current university students to attempt as the relevant material is no longer taught to the required standards. A point of note is that calculus was considered an honours topic in the late nineteenth and early twentieth centuries, however today it is commonly taught in high school.
To give a flavour of the type of questions asked of the L.L.A. students, three are shown below:
1878 pass standard paper.
1889 pass standard paper.
1896 honours standard paper.
The above questions demonstrate the complex problems asked of L.L.A. candidates.
Impact of the L.L.A. Scheme
The Universities (Scotland) Act of 1889 challenged the relevance of the L.L.A. scheme, as the act allowed women to matriculate at St Andrews from 1892. However, the scheme continued until its end in 1931. From 1878 until 1931, there were 36,017 candidates, 27,682 subject passes, and 5,117 L.L.A. diplomas achieved. Furthermore, registration fees charged to students generated a surplus of £1,458, equivalent to £148,278.56 at January 2023 rates. This money helped to provide bursaries for female undergraduates after 1892 and contributed to the cost of building of University hall, the first female university residence in Scotland.
The first woman to pass the L.L.A. Mathematics examination was Fanny Margaret Campbell in 1880. In the first year of women being admitted to matriculation in 1892, 12 women enrolled into the Junior Mathematics class, including Agnes Blackadder at Dundee, Katherine Chambers, Annie Lloyd Evans and Mary Campbell Smith at St Andrews. The first woman to graduate with Honours in Mathematics was Margaret Murray in 1898. You can read more about her life on the Maths from the Past website: https://maths-from-the-past.org/margaret-murray-mathematician-and-mountaineer/.
The L.L.A. scheme was an innovative and ground-breaking undertaking. It allowed women from around the world to expand their learning and achieve a higher educational certificate, helping many to progress in their careers. The mathematical examinations challenged students’ intellectual capacities and demonstrated their ability to thrive in a demanding subject. It helped to prove that female students were capable of great academic achievements and contributed to the advancement of female education in the UK and across the globe.
This article was originally written for the website ‘Maths from the Past’, a public history project aiming to showcase the development of mathematics throughout time. The project started in January 2023 and is run by a rotating group of students and staff at the University of St Andrews taking part in the History, Mathematics and the Public Vertically Integrated Project (VIP). A VIP is an ongoing research project led by an academic supervisor on which students can participate and gain credit towards their degree. Students from any year of study and subject background can contribute and can remain on a project for several semesters. To find out more about Maths from the Past and VIPs, see the links below:
https://maths-from-the-past.org/
https://www.st-andrews.ac.uk/education/vip/
Cameron O’Donnell
Bibliography
Printed primary Sources:
Mill, John, The Subjection of Women (London, 1869).
Wollstonecraft, Mary, A Vindication of the Rights of Women (London, 1792).
St Andrews, UYUY3778/4/14, L.L.A. Scheme Statement, 1892.
The St Andrews University Calendar for the Year 1898-1899 (Edinburgh, 1899), pp.380-384.
University of St Andrews Calendar Containing Regulations for the L.L.A. (Women’s) Examination papers for 1899, Results and Examination Papers for 1898, and University Hall for Women-Students at St Andrews (Edinburgh, 1899), pp.181-184.
University of St Andrews Calendar L.L.A. (Women’s) Examination and Local Examinations at St Andrews in 1878 (Edinburgh, 1879), pp.43-45.
University of St Andrews Calendar L.L.A. (Women’s) Examination and Local Examinations at St Andrews in 1889 (Edinburgh, 1890), pp.53-55.
University of St Andrews L.L.A. Calendars for the years 1879, 1880, 1894, 1896, 1897, 1898.
Secondary Sources:
Knight, William, A History of the L.L.A. Examination and Diploma for Women, and of the University Hall for Women Students at the University of St Andrews (Dundee, 1896).
Smart, R.N., ‘Literate Ladies – A Fifty Year Experiment’, St Andrews University Alumnus Chronicle, 59 (1968), p.22.
Smith, Elisabeth, ‘To Walk Upon the Grass: The Impact of the University of St Andrews’ Lady Literate in Arts, 1877-1892’ (PhD Thesis, University of St Andrews, 2014), <https://research-repository.st-andrews.ac.uk/bitstream/handle/10023/5570/ElisabethSmithPhDThesis.pdf?sequence=3&isAllowed=y>.
Internet Sources:
Rodriguez, Sarah, ‘Examinations for Ladies Literate in Arts’, Special Collections Blog, University of St Andrews, 8 May 2019, <https://special-collections.wp.st-andrews.ac.uk/2019/05/08/examinations-for-ladies-literate-in-arts/> [Accessed 5 February 2023].
‘Inflation Calculator’, Bank of England, n.d., <https://www.bankofengland.co.uk/monetary-policy/inflation/inflation-calculator> [Accessed 22 February 2023].
‘The Princess Royal celebrates the ‘Edinburgh Seven’, The Royal Family, 12 September 2016, < https://platinumjubilee.royal.uk/princess-royal-celebrates-edinburgh-seven#:~:text=The%20Princess%20Royal%20celebrates%20the%20%27Edinburgh%20Seven%27%20Published,prevented%20from%20graduating%20as%20doctors%20150%20years%20ago.> [Accessed 4 February 2023].
Other Sources:
University of St Andrews, School of Mathematics and Statistics, MT2505 Syllabus.
Very interesting indeed. Unlike her brothers, who attended St Andrews University, one of my great-aunts (Elizabeth Rob Barty) attended Edinburgh University in the 1890s and, after graduating, became a school teacher in England. On retiral she returned to Dunblane and set about re-organising and re-cataloguing Dunblane Cathedral Museum
Thank you for this research. I have the St Andrews LLA certificate of my grandmother, Henrietta Margaret Jane Macrae, who passed the exams in Education and Astronomy in July 1896. It's signed by R Scott-Lang, the Professor of Mathematics. She was studying at the teacher training college, Moray House, in Edinburgh at the time. Presumably armed with her LLA passes, she went on to be an infant teacher in Nairn where her father was the Provost. I still have her text books on Astronomy without Mathematics (1883) and Advanced Physiography (1895). I've always thought it was incredibly enlightened to be teaching women astronomy in 1896! (PS I graduated from St. A. in French in 1973).
Dear Avril, thanks for your lovely comment and sharing the details of your grandmother.