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New Math (song)
''New Math'' is a 1965 song by American musician Tom Lehrer. Found on his album ''That Was the Year That Was'', the song is a satire of the then-contemporary educational concept of New Math. Composition The song is composed in the key of C major in a 2/4 time signature. It correctly describes the step-by-step process for subtracting 173 from 342 in decimal and then subtracting the numbers 1738 and 3428 having the same digits in octal. The song features a spoken-word intro by Lehrer, followed by "piano played at a quick tempo and brisk lines". Context Lehrer, at the time a doctoral student of mathematics at Harvard University, used the song to satirize the then-new educational concept of New Math, introduced in American schools in the late 1950s and early 1960s as an attempt to reform education of mathematics. According to the book ''The New Math: A Political History'', the song "purported to be a lesson for parents confused by recent changes in their children's arithmetic textboo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tom Lehrer
Thomas Andrew Lehrer (; born April 9, 1928) is an American former musician, singer-songwriter, satirist, and mathematician, having lectured on mathematics and musical theater. He is best known for the pithy and humorous songs that he recorded in the 1950s and 1960s. His songs often parodied popular musical forms, though he usually created original melodies when doing so. A notable exception is " The Elements", in which he set the names of the chemical elements to the tune of the "Major-General's Song" from Gilbert and Sullivan's ''Pirates of Penzance''. Lehrer's early musical work typically dealt with non-topical subject matter and was noted for its black humor in songs such as "Poisoning Pigeons in the Park". In the 1960s, he produced a number of songs that dealt with social and political issues of the day, particularly when he wrote for the U.S. version of the television show ''That Was the Week That Was''. The popularity of these songs has far outlasted their topical subjects ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Octal
The octal numeral system, or oct for short, is the radix, base-8 number system, and uses the Numerical digit, digits 0 to 7. This is to say that 10octal represents eight and 100octal represents sixty-four. However, English, like most languages, uses a Base 10, base-10 number system, hence a true octal system might use different vocabulary. In the decimal system, each place is a power of ten. For example: : \mathbf_ = \mathbf \times 10^1 + \mathbf \times 10^0 In the octal system, each place is a power of eight. For example: : \mathbf_8 = \mathbf \times 8^2 + \mathbf \times 8^1 + \mathbf \times 8^0 By performing the calculation above in the familiar decimal system, we see why 112 in octal is equal to 64+8+2=74 in decimal. Octal numerals can be easily converted from Binary numeral system, binary representations (similar to a quaternary numeral system) by grouping consecutive binary digits into groups of three (starting from the right, for integers). For example, the binary repr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Education
In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. National and international organisations regularly hold conferences and publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, ancient Babylonia, ancient Greece, ancient Rome and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth or caste. The oldest known mathematics textbook is the Rh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Songs Written By Tom Lehrer
A song is a musical composition intended to be performed by the human voice. This is often done at distinct and fixed pitches (melodies) using patterns of sound and silence. Songs contain various forms, such as those including the repetition and variation of sections. Written words created specifically for music, or for which music is specifically created, are called lyrics. If a pre-existing poem is set to composed music in classical music it is an art song. Songs that are sung on repeated pitches without distinct contours and patterns that rise and fall are called chants. Songs composed in a simple style that are learned informally "by ear" are often referred to as folk songs. Songs that are composed for professional singers who sell their recordings or live shows to the mass market are called popular songs. These songs, which have broad appeal, are often composed by professional songwriters, composers, and lyricists. Art songs are composed by trained classical compos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Irish Times
''The Irish Times'' is an Irish daily broadsheet newspaper and online digital publication. It launched on 29 March 1859. The editor is Ruadhán Mac Cormaic. It is published every day except Sundays. ''The Irish Times'' is considered a newspaper of record for Ireland. Though formed as a Protestant nationalist paper, within two decades and under new owners it had become the voice of British unionism in Ireland. It is no longer a pro unionist paper; it presents itself politically as "liberal and progressive", as well as being centre-right on economic issues. The editorship of the newspaper from 1859 until 1986 was controlled by the Anglo-Irish Protestant minority, only gaining its first nominal Irish Catholic editor 127 years into its existence. The paper's most prominent columnists include writer and arts commentator Fintan O'Toole and satirist Miriam Lord. The late Taoiseach Garret FitzGerald was once a columnist. Senior international figures, including Tony Blair and Bill Cl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Decimal
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as ''decimal notation''. A ''decimal numeral'' (also often just ''decimal'' or, less correctly, ''decimal number''), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in or ). ''Decimal'' may also refer specifically to the digits after the decimal separator, such as in " is the approximation of to ''two decimals''". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value. The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form , where is an integer, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
That Was The Year That Was
''That Was the Year That Was'' (1965) is a live album recorded at the hungry i in San Francisco, containing performances by Tom Lehrer of satiric topical songs he originally wrote for the NBC television series ''That Was The Week That Was'', known informally as ''TW3'' (1964–65). All of the songs related to items then in the news. The album peaked at #18 on ''Billboards Top 200 Albums on January 8, 1966 and was on the chart for 51weeks. In 2020, Lehrer donated all of his lyrics and music written by him to the public domain. He followed this on November 1, 2022 with all recording and performing rights of any kind, making all of his music that he has originally composed or performed free for anyone to use. Track listing Side one: # "National Brotherhood Week" – 2:35 # "MLF Lullaby" – 2:25 # "George Murphy" – 2:08 # "The Folk Song Army" – 2:12 # "Smut" – 3:15 # "Send the Marines" – 1:46 # "Pollution" – 2:17 Side two: # "So Long, Mom (A Song for World War III) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time Signature
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat. In a music score, the time signature appears at the beginning as a time symbol or stacked numerals, such as or (read ''common time'' or ''four-four time'', respectively), immediately following the key signature (or immediately following the clef symbol if the key signature is empty). A mid-score time signature, usually immediately following a barline, indicates a change of meter. There are various types of time signatures, depending on whether the music follows regular (or symmetrical) beat patterns, including simple (e.g., and ), and compound (e.g., and ); or involves shifting beat patterns, including complex (e.g., or ), mixed (e.g., & or & ), additive (e.g., ), fractional (e.g., ), and irrational met ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
C Major
C major (or the key of C) is a major scale based on C, consisting of the pitches C, D, E, F, G, A, and B. C major is one of the most common keys used in music. Its key signature has no flats or sharps. Its relative minor is A minor and its parallel minor is C minor. The C major scale is: : On the piano, the C major scale can be played by playing only the white keys starting on C. Compositions Twenty of Joseph Haydn's 106 symphonies are in C major, making it his second most-used key, second to D major. Of the 134 symphonies mistakenly attributed to Haydn that H. C. Robbins Landon lists in his catalog, 33 are in C major, more than any other key. Before the invention of the valves, Haydn did not write trumpet and timpani parts in his symphonies, except those in C major. Landon writes that it wasn't "until 1774 that Haydn uses trumpets and timpani in a key other than C major... and then only sparingly." Most of Haydn's symphonies in C major are labelled "festive" an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
