Mathematics Education In The United Kingdom
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Mathematics Education In The United Kingdom
Mathematics education in the United Kingdom is largely carried out at ages 5–16 at primary school and secondary school (though basic numeracy is taught at an earlier age). However voluntary Mathematics education in the UK takes place from 16 to 18, in sixth forms and other forms of further education. Whilst adults can study the subject at universities and higher education more widely. Mathematics education is not taught uniformly as exams and the syllabus vary across the countries of the United Kingdom, notably Scotland. History The School Certificate was established in 1918, for education up to 16, with the Higher School Certificate for education up to 18; these were both established by the Secondary Schools Examinations Council (SSEC), which had been established in 1917. 1960s The Joint Mathematical Council was formed in 1963 to improve the teaching of mathematics in UK schools. The Ministry of Education had been created in 1944, which became the Department of Education and Sc ...
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Primary School
A primary school (in Ireland, the United Kingdom, Australia, Trinidad and Tobago, Jamaica, and South Africa), junior school (in Australia), elementary school or grade school (in North America and the Philippines) is a school for primary education of children who are four to eleven years of age. Primary schooling follows pre-school and precedes secondary schooling. The International Standard Classification of Education considers primary education as a single phase where programmes are typically designed to provide fundamental skills in reading, writing, and mathematics and to establish a solid foundation for learning. This is ISCED Level 1: Primary education or first stage of basic education.Annex III in the ISCED 2011 English.pdf
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British Mathematical Olympiad
The British Mathematical Olympiad (BMO) forms part of the selection process for the UK International Mathematical Olympiad team and for other international maths competitions, including the European Girls' Mathematical Olympiad, the Romanian Master of Mathematics and Sciences, and the Balkan Mathematical Olympiad. It is organised by the British Mathematical Olympiad Subtrust, which is part of the United Kingdom Mathematics Trust. There are two rounds, the BMO1 and the BMO2.http://www.bmoc.maths.org/home/bmo.shtml, BMO website, list of papers BMO Round 1 The first round of the BMO is held in November each year, and from 2006 is an open entry competition. The qualification to BMO Round 1 is through the Senior Mathematical Challenge. Students who do not make the qualification through the Senior Mathematical Challenge may be entered at the discretion of their school for a fee of £40. The paper lasts 3½ hours, and consists of six questions (from 2005), each worth 10 marks. The exam ...
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United Kingdom Mathematics Trust
The United Kingdom Mathematics Trust (UKMT) is a charity founded in 1996 to help with the education of children in mathematics within the UK. History The national mathematics competitions existed prior to the formation of the UKMT, but the foundation of the UKMT in the summer of 1996 enabled them to be run collectively. The Senior Mathematical Challenge was formerly the National Mathematics Contest. Founded in 1961, it was run by the Mathematical Association from 1975 until its adoption by the UKMT in 1996. The Junior and Intermediate Mathematical Challenges were the initiative of Dr Tony Gardiner in 1987 and were run by him under the name of the United Kingdom Mathematics Foundation until 1996. The popularity of the UK national mathematics competitions is largely due to the publicising efforts of Dr Gardiner in the years 1987-1995. Hence, in 1995, he advertised for the formation of a committee and for a host institution that would lead to the establishment of the UKMT, ena ...
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City Technology College
In England, a City Technology College (CTC) is an urban all-ability specialist schoolWalter (2007), p. 6 for students aged 11 to 18 specialising in science, technology and mathematics. They charge no fees and are independent of local authority control, being overseen directly by the Department for Education. One fifth of the capital costs are met by private business sponsors, who also own or lease the buildings. The rest of the capital costs, and all running costs, are met by the Department. Description CTCs operate as limited companies with articles of association and a board of governors. A CTC is governed through an operating agreement made between the Secretary of State for Education and whoever is responsible for establishing and running the school. This agreement includes the regulations for the school's educational provision (e.g. its curriculum and admissions policy). These are negotiated between the two parties and must be enforced by the school should it wish to rec ...
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Specialist Schools Programme
The specialist schools programme (SSP), first launched as the Technology Colleges programme and also known as the specialist schools initiative, specialist schools policy and specialist schools scheme, was a government programme in the United Kingdom which encouraged state schools in England and Northern Ireland to raise private sponsorship in order to become Specialist schools in the United Kingdom, specialist schools – schools that specialise in certain areas of the curriculum – to boost achievement, cooperation and diversity in the school system. First introduced in 1993 to England as a policy of John Major's Conservative Party (UK), Conservative government, it was relaunched in 1997 United Kingdom general election, 1997 as a flagship policy of the New Labour governments, expanding significantly under Prime Minister Tony Blair and his successor Gordon Brown. The programme was introduced to Northern Ireland in 2006, lasting until April 2011 in England and August 2011 in No ...
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General Certificate Of Secondary Education
The General Certificate of Secondary Education (GCSE) is an academic qualification in a particular subject, taken in England, Wales, and Northern Ireland. State schools in Scotland use the Scottish Qualifications Certificate instead. Private schools in Scotland may choose to use GCSEs from England. Each GCSE qualification is offered in a specific school subject (English literature, English language, mathematics, science, history, geography, art and design, design and technology, business studies, classical civilisation, drama, music, foreign languages, etc). The Department for Education has drawn up a list of preferred subjects known as the English Baccalaureate for England on the results in eight GCSEs including English, mathematics, the sciences (physics, chemistry, biology, computer science), history, geography, and an ancient or modern foreign language. Studies for GCSE examinations take place over a period of two or three academic years (depending upon the subject, school ...
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Trigonometric Functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extend the sine and cos ...
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number  to the base  is the exponent to which must be raised, to produce . For example, since , the ''logarithm base'' 10 of is , or . The logarithm of to ''base''  is denoted as , or without parentheses, , or even without the explicit base, , when no confusion is possible, or when the base does not matter such as in big O notation. The logarithm base is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number  as its base; its use is widespread in mathematics and physics, because of its very simple derivative. The binary logarithm uses base and is frequently used in computer science. Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations. They were rapidly adopted by navigators, scientists, engineers, surveyors and others to perform high-a ...
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Scientific Calculator
A scientific calculator is an electronic calculator, either desktop or handheld, designed to perform mathematical operations. They have completely replaced slide rules and are used in both educational and professional settings. In some areas of study scientific calculators have been replaced by graphing calculators and financial calculators which have the capabilities of a scientific calculator along with the capability to graph input data. Functions When scientific calculators were originally marketed they normally had only four of five capabilities (addition, subtraction, multiplication, division and square root). Modern scientific calculators generally have many more capabilities than the original four or five function calculator, and the capabilities differ between manufacturers and models. The capabilities of a modern scientific calculator include: * scientific notation * floating-point decimal arithmetic * logarithmic functions, using both base 10 and base e * t ...
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Mental Calculation
Mental calculation consists of arithmetical calculations using only the human brain, with no help from any supplies (such as pencil and paper) or devices such as a calculator. People may use mental calculation when computing tools are not available, when it is faster than other means of calculation (such as conventional educational institution methods), or even in a competitive context. Mental calculation often involves the use of specific techniques devised for specific types of problems. People with unusually high ability to perform mental calculations are called mental calculators or ''lightning calculator''s. Many of these techniques take advantage of or rely on the decimal numeral system. Usually, the choice of radix is what determines which method or methods to use. Methods and techniques Casting out nines After applying an arithmetic operation to two operands and getting a result, the following procedure can be used to improve confidence in the correctness of result: # ...
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Calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom. Modern electronic calculators vary from cheap, give-away, credit-card-sized models to sturdy desktop models with built-in printers. They became popular in the mid-1970s as the incorporation of integrated circuits reduced their size and cost. By the end of that decade, prices had dropped to the point where a basic calculator was affordable to most and they became common in schools. Computer operating systems as far back as early Unix have included interactive calculator programs such as dc and hoc, and interactive BASIC could be used to do calculations on most 1970s a ...
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