Mary Everest Boole: the First Mathematical Psychologist

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Mary Everest Boole: the First Mathematical Psychologist Mary Everest Boole: the first mathematical psychologist Edmund F Robertson University of St Andrews 1. Introduction Mary Everest Boole was only 32 years old in 1864 when her husband, the mathematician George Boole, died leaving her with five daughters to bring up. In this paper we will look at Mary Boole's life and her contributions to mathematics teaching. She published many books on teaching in general and teaching mathematics in particular, for example Lectures on the Logic of Arithmetic (1903) and Philosophy and Fun of Algebra (1909). We give quotes from her books to illustrate her ideas which, although over 100 years old, seem surprisingly relevant today. 2. Early life Mary Everest was the daughter of Reverend Thomas Roupell Everest (1800- 1855), Rector of Wickwar, and Mary Ryall (born 1815). Thomas Everest had one brother, George Everest (1790-1866), who was the surveyor and geographer after whom Mount Everest was named. Mary Ryall had a brother John Ryall who became Vice President and Professor of Greek at Queen's College, Cork. After Mary Everest married George Boole she became known as Mary Everest Boole. For simplicity, we shall refer to her as Mary Boole throughout this paper. She had a brother, George John Everest (1835-1908) who became vicar of Teynham in Kent. Thomas Everest had studied at Pembroke College, Cambridge and was ordained in 1826. He was a priest at Bristol Cathedral before becoming rector of Wickwar, near Chipping Sodbury in Gloucestershire, in 1830. On 27 September 1830 he married Mary Ryall; their daughter Mary (the subject of this paper) was born on 11 March 1832 and their son George in 1835. In 1837 an influenza epidemic swept through England leaving Thomas Everest as an invalid. Being a strong believer in homeopathy, he went with his family to Poissy, near Paris, in France in 1837 to be treated by Samuel Hahnemann, the founder of the homoeopathic system of medicine, leaving his curate in charge of the church at Wickwar. Mary Boole was at this time five years old but she had to follow the same routine as Hahnemann devised for the whole family (as well as their servants) which included cold baths, long fast walks before breakfast and a special diet. By 1843 Thomas Everest was well enough to return to his church at Wickwar, but the family maintained the routine devised for them by Hahnemann for eleven years. Whether Thomas Everest recovered because of Hahnemann's treatment or in spite of Hahnemann's treatment is a matter of opinion but certainly the whole family had great faith in the homoeopathic approach. While in France, Mary Boole became bilingual in French and English. In fact, in later life she considered French her native tongue. She attended school as well as being tutored by a governess. Her mother also gave her lessons which she later described as "hopelessly dreary." Later, while still in France, she was tutored by a Monsieur Deplace who impressed her with his teaching methods. When teaching her to solve arithmetic problems he would ask a series of questions, then ask her to analyse her answers so that she eventually found the solution to the original problem herself. At age ten, when still in France, Mary Boole heard her father speaking with a friend who was visiting from England. The friend spoke about the University of Cambridge being a great centre for mathematics and spoke, in particular, about Charles Babbage. After the friend left, Mary heard her father talking to her mother saying he didn't know what he would do with his children since his son lacked interest in education as he would expect of a girl, but his daughter had the educational interests and abilities he would expect of a boy. "If only she could go to Cambridge and study mathematics she would carry everything before her," he said, "but what could a girl do learning mathematics." Mary was shocked to learn that she couldn't go to university, that she couldn't study mathematics and that she would never meet the famous Charles Babbage. A year later the family were back in England. Mary Boole couldn't go to university but she could learn mathematics by teaching herself from books. She met many of her father's friends and these included John Herschel and Charles Babbage. This provided her with further motivation to read mathematics books. She attended school for a short time but soon was taken out of education to become an assistant to her father. She had some practical teaching experience taking the Sunday School class as well as writing experience helping her father with his sermons. In December 1843 Mary Boole's uncle, George Everest, returned from India. He had undertaken much work there for the Great Trigonometrical Survey and was knowledgeable about mathematics. He also had many fascinating tales to tell of his travels in India while carrying out the surveys. George Everest spent many hours with Mary, encouraging her and telling her about his experiences. George Everest enjoyed his discussions with Mary so much that at one time he even asked her father if he couldn't adopt her, but this was not what her parents wanted. 3. George Boole In 1850 Mary visited her uncle John Ryall at Queen's College, Cork. There she met the professor of mathematics, George Boole, and despite the age difference (she was eighteen years old and he was thirty-five) they became friends. George Boole helped Mary with some of the more challenging aspects of the differential calculus and after she returned to England they corresponded frequently, much of the letters being about mathematics and science. In 1852 George Boole visited the Everest family home in Wickwar and at this time he became more formally her mathematics tutor. On 15 June 1855 Mary's father died leaving her without means of support and George Boole proposed marriage. After a short engagement, they married on 11 September 1855 at a small ceremony in Wickwar. The lived at first in Sundays Well Road, Cork, then in Castle Road, Blackrock, Cork, before moving to Litchfield Cottage, Ballintemple, Cork. It proved a very happy marriage with five daughters: Mary Ellen Boole born in 1856, Margaret Boole born in 1858, Alicia Boole (later Alicia Boole Stott) born in 1860, Lucy Everest Boole born in 1862, and Ethel Lilian Boole born in 1864. George Boole died on 8 December 1864 with his daughter Ethel Lilian less than seven months old; she had been born on 11 May 1864. Mary Boole was only 32 years old, having five young daughters and no means of support. 4. Mary returns to England Mary Boole moved back to England where, thanks to Frederick Denison Maurice, she was offered the position as a librarian at Queen's College, London. She lived at 43 Harley Street, London and from that address she corresponded with Charles Darwin in December 1866 about the implications for his theory of evolution on religion. Mary gave a series of talks to young mothers who were worried about their religion being threatened by Darwin’s theories and used her talks as the basis for a book The message of psychic science to mothers and nurses which she completed in 1868 but it was only published in 1883. At the time of the 1871 census Mary was at the home of her unmarried uncle Robert Everest in Sunninghill, Berkshire, while her children remained at Harley Street, London. Mary's occupation is given as "Teacher of Mathematics". Shortly after this she began working as James Hinton's secretary. James Hinton (1822-1875) was a talented surgeon who, as well as writing on his medical specialities, wrote on ethical subjects and on 'thinking'. Mary Boole described Hinton as a 'thought-artist'. James Hinton died on 16 December 1875 and after this time Mary Boole began publishing books and articles. Let us note that Mary Boole's daughter Mary Ellen Boole married James Hinton's son Charles Howard Hinton (1853-1907) in 1880. Charles Howard Hinton was a mathematician who wrote "What is the Fourth Dimension?" but, after he was convicted of bigamy, Charles and Mary Ellen went first to Japan and then to the United States. At the 1881 census Mary Boole was living at 103 Seymour Place, Marylebone, London with her 22 year old daughter Margaret Boole whose occupation is described as "Art Student (Painting)". In 1885 Margaret Boole married the artist Edward Ingram Taylor in Marylebone, London; their son was the mathematician Geoffrey Ingram Taylor. At the time of the 1881 census Mary's occupation is given as "Civil Service Pensioner". In 1890 Alicia Boole married Walter Stott. Alicia Boole Stott became a mathematician making contributions to 4-dimensional geometry. The word "polytope" is due to her. At the 1891 census Mary Boole was visiting her mother who was living next door to Mary's brother George Everest, vicar of Teynham, Kent. Mary was described as "living on her own means". At the 1901 census Mary Boole was living at 16 Ladbroke Road, Notting Hill, Kensington, London. She was again described as "living on her own means". She was at the same address at the 1911 census. 5. Mary Boole's publications Let us list here some of Mary Boole's publications. These include The message of psychic science to mothers and nurses mentioned above and: Symbolic Methods of Study (K. Paul, Trench & Company, 1884); Logic taught by love (Alfred Mudge & Son, 1889); Mathematical psychology of Gratry and Boole: Translated from the Language of the Higher Calculus Into that of Elementary Geometry (Swan Sonnenschein & Company, 1897); Boole's Psychology as a Factor in Education (Benham & Company, 1902); The cultivation of the mathematical imagination (Colchester, 1902); Lectures on the Logic of Arithmetic (Clarendon Press, 1903); The Preparation of the Child for Science (Clarendon Press, 1904); Mistletoe and Olive.
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