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Dikran Tahta
Dikran Tahta ( hy, Դիքրան (Տիգրան) Թահթա, 7 August 1928 – 2 December 2006) was a British mathematician, teacher and author. He was also the maths teacher of Stephen Hawking. Early life Dikran Tahta was a descendant of Istanbul-based Armenian family of cotton merchants. His father, Kevork Tahtabrounian, (1895–1980), settled in Manchester with his wife in 1927, after the First World War and the Armenian genocide, shortening his surname to Tahta. Kevork run a branch of the business which took the name Manchester Textile Exporters Merchants in Exile: The Armenians in Manchester, England, 1835-1935
Joan George,
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Dikran Tahta
Dikran Tahta ( hy, Դիքրան (Տիգրան) Թահթա, 7 August 1928 – 2 December 2006) was a British mathematician, teacher and author. He was also the maths teacher of Stephen Hawking. Early life Dikran Tahta was a descendant of Istanbul-based Armenian family of cotton merchants. His father, Kevork Tahtabrounian, (1895–1980), settled in Manchester with his wife in 1927, after the First World War and the Armenian genocide, shortening his surname to Tahta. Kevork run a branch of the business which took the name Manchester Textile Exporters Merchants in Exile: The Armenians in Manchester, England, 1835-1935
Joan George,
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St Albans School, Hertfordshire
St Albans School is a public school (English independent school) in the city of St Albans in Hertfordshire. Pre-sixth form admission is restricted to boys, but the sixth form has been co-educational since 1991. Founded in 948 by Wulsin, St Albans School is the oldest school in Hertfordshire and one of the oldest schools in the world, being located on a 500 acre site. The school is known for its academic prowess, achieving excellent results and gaining several places at the top universities, specifically Oxbridge. The school now has state-of-the-art science facilities unlike any other school in the country, also having educated a multitude of scientists, a few examples being Stephen Hawking, who dedicated some of his success to the school (Formally, the only place that taught him maths) and Ian Grant. The school created The Stephen Hawking Society as part of a tribute to the former pupil. As part of this, many famous scientists such as the 2001 Nobel Prize winner, Dr T ...
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Kirkman's Schoolgirl Problem
Kirkman's schoolgirl problem is a problem in combinatorics proposed by Rev. Thomas Penyngton Kirkman in 1850 as Query VI in ''The Lady's and Gentleman's Diary'' (pg.48). The problem states: Fifteen young ladies in a school walk out three abreast for seven days in succession: it is required to arrange them daily so that no two shall walk twice abreast. Solutions A solution to this problem is an example of a ''Kirkman triple system'', which is a Steiner triple system having a ''parallelism'', that is, a partition of the blocks of the triple system into parallel classes which are themselves partitions of the points into disjoint blocks. Such Steiner systems that have a parallelism are also called ''resolvable''. There are exactly seven non-isomorphic solutions to the schoolgirl problem, as originally listed by Frank Nelson Cole in ''Kirkman Parades'' in 1922. The seven solutions are summarized in the table below, denoting the 15 girls with the letters A to O. From the numbe ...
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Thomas Kirkman
Thomas Penyngton Kirkman FRS (31 March 1806 – 3 February 1895) was a British mathematician and ordained minister of the Church of England. Despite being primarily a churchman, he maintained an active interest in research-level mathematics, and was listed by Alexander Macfarlane as one of ten leading 19th-century British mathematicians... In the 1840s, he obtained an existence theorem for Steiner triple systems that founded the field of combinatorial design theory, while the related Kirkman's schoolgirl problem is named after him. Early life and education Kirkman was born 31 March 1806 in Bolton, in the north west of England, the son of a local cotton dealer. In his schooling at the Bolton Grammar School, he studied classics, but no mathematics was taught in the school. He was recognised as the best scholar at the school, and the local vicar guaranteed him a scholarship at Cambridge, but his father would not allow him to go. Instead, he left school at age 14 to work in his fat ...
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Open University
The Open University (OU) is a British public research university and the largest university in the United Kingdom by number of students. The majority of the OU's undergraduate students are based in the United Kingdom and principally study off-campus; many of its courses (both undergraduate and postgraduate) can also be studied anywhere in the world. There are also a number of full-time postgraduate research students based on the 48-hectare university campus in Milton Keynes, where they use the OU facilities for research, as well as more than 1,000 members of academic and research staff and over 2,500 administrative, operational and support staff. The OU was established in 1969 and was initially based at Alexandra Palace, north London, using the television studios and editing facilities which had been vacated by the BBC. The first students enrolled in January 1971. The university administration is now based at Walton Hall, Milton Keynes, in Buckinghamshire, but has administratio ...
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Mary Boole
Mary Everest Boole (11 March 1832 in Wickwar, Gloucestershire – 17 May 1916 in Middlesex, England) was a self-taught mathematician who is best known as an author of didactic works on mathematics, such as ''Philosophy and Fun of Algebra'', and as the wife of fellow mathematician George Boole. Her progressive ideas on education, as expounded in ''The Preparation of the Child for Science'', included encouraging children to explore mathematics through playful activities such as curve stitching. Her life is of interest to feminists as an example of how women made careers in an academic system that did not welcome them. Life She was born in England, the daughter of Reverend Thomas Roupell Everest, Rector of Wickwar, and Mary ''nee'' Ryall. Her uncle was George Everest, the surveyor and geographer after whom Mount Everest was named. She spent the first part of her life in France where she received an education in mathematics from a private tutor. On returning to England at the age ...
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Pedagogy
Pedagogy (), most commonly understood as the approach to teaching, is the theory and practice of learning, and how this process influences, and is influenced by, the social, political and psychological development of learners. Pedagogy, taken as an academic discipline, is the study of how knowledge and skills are imparted in an educational context, and it considers the interactions that take place during learning. Both the theory and practice of pedagogy vary greatly as they reflect different social, political, and cultural contexts. Pedagogy is often described as the act of teaching. The pedagogy adopted by teachers shapes their actions, judgments, and teaching strategies by taking into consideration theories of learning, understandings of students and their needs, and the backgrounds and interests of individual students. Its aims may range from furthering liberal education (the general development of human potential) to the narrower specifics of vocational education (the impa ...
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Polycube
upAll 8 one-sided tetracubes – if chirality is ignored, the bottom 2 in grey are considered the same, giving 7 free tetracubes in total A puzzle involving arranging nine L tricubes into a 3×3 cube A polycube is a solid figure formed by joining one or more equal cubes face to face. Polycubes are the three-dimensional analogues of the planar polyominoes. The Soma cube, the Bedlam cube, the Diabolical cube, the Slothouber–Graatsma puzzle, and the Conway puzzle are examples of packing problems based on polycubes. Enumerating polycubes A chiral pentacube Like polyominoes, polycubes can be enumerated in two ways, depending on whether chiral pairs of polycubes are counted as one polycube or two. For example, 6 tetracubes have mirror symmetry and one is chiral, giving a count of 7 or 8 tetracubes respectively. Unlike polyominoes, polycubes are usually counted with mirror pairs distinguished, because one cannot turn a polycube over to reflect it as one can a polyomino give ...
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Ray Hemmings
''Fifty Years of Freedom: A Study of the Development of the Ideas of A. S. Neill'' is a 1972 intellectual biography of the British pedagogue A. S. Neill by Ray Hemmings. It traces how Homer Lane, Wilhelm Reich, Sigmund Freud and others influenced Neill as he developed the "Summerhill idea", the philosophy of child autonomy behind his Summerhill School. The book follows Neill's early life and career in rural, Calvinist Scotland and continues through the influence of his mentors, Lane and Reich, and the origins of Summerhill after World War I. Written fifty years from Summerhill's founding, ''Fifty Years'' is a sociological and historical analysis of Neill's ideas in the context of intellectual and educational trends both during Neill's life and at the time of publication. Hemmings also surveyed progressive school leaders about Neill's impact on the field and reported their perception of influence on teacher–pupil relations. ''Fifty Years'' was first published in Eng ...
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Association Of Teachers Of Mathematics
The Association of Teachers of Mathematics (ATM) was established by Caleb Gattegno in 1950 to encourage the development of mathematics education to be more closely related to the needs of the learner. ATM is a membership organisation representing a community of students, nursery, infant, primary, secondary and tertiary teachers, numeracy consultants, overseas teachers, academics and anybody interested in mathematics education. Aims The stated aims of the Association of Teachers of Mathematics are to support the teaching and learning of mathematics by: * encouraging increased understanding and enjoyment of mathematics * encouraging increased understanding of how people learn mathematics * encouraging the sharing and evaluation of teaching and learning strategies and practices * promoting the exploration of new ideas and possibilities * initiating and contributing to discussion of and developments in mathematics education at all levels Guiding principles ATM lists as its guiding pr ...
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Algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory. The word ''algebra'' is ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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