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Word Problem (mathematics Education)
In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are sometimes referred to as story problems and may vary in the amount of technical language used. Example A typical word problem: Tess paints two boards of a fence every four minutes, but Allie can paint three boards every two minutes. If there are 240 boards total, how many hours will it take them to paint the fence, working together? Solution process Word problems such as the above can be examined through five stages: * 1. Problem Comprehension * 2. Situational Solution Visualization * 3. Mathematical Solution Planning * 4. Solving for Solution * 5. Situational Solution Visualization The linguistic properties of a word problem need to be addressed first. To begin the solution pr ...
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Word Problem (mathematics)
In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well. A deep result of computational theory is that answering this question is in many important cases undecidable. Background and motivation In computer algebra one often wishes to encode mathematical expressions using an expression tree. But there are often multiple equivalent expression trees. The question naturally arises of whether there is an algorithm which, given as input two expressions, decides whether they represent the same element. Such an algorithm is called a ''solution to the word problem''. For example, imagine that x,y,z are symbols representing real numbers - then a relevant solution to the word problem would, given the input (x \cdot y)/z \mathrel (x/z)\cdot y, produce the output EQUAL, and similarly pr ...
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Babylonia
Babylonia (; Akkadian: , ''māt Akkadī'') was an ancient Akkadian-speaking state and cultural area based in the city of Babylon in central-southern Mesopotamia (present-day Iraq and parts of Syria). It emerged as an Amorite-ruled state c. 1894 BCE. During the reign of Hammurabi and afterwards, Babylonia was called "the country of Akkad" (''Māt Akkadī'' in Akkadian), a deliberate archaism in reference to the previous glory of the Akkadian Empire. It was often involved in rivalry with the older state of Assyria to the north and Elam to the east in Ancient Iran. Babylonia briefly became the major power in the region after Hammurabi ( fl. c. 1792–1752 BCE middle chronology, or c. 1696–1654 BCE, short chronology) created a short-lived empire, succeeding the earlier Akkadian Empire, Third Dynasty of Ur, and Old Assyrian Empire. The Babylonian Empire rapidly fell apart after the death of Hammurabi and reverted to a small kingdom. Like Assyria, the Babylonian state retained ...
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Cut-the-knot
Alexander Bogomolny (January 4, 1948 July 7, 2018) was a Soviet-born Israeli-American mathematician. He was Professor Emeritus of Mathematics at the University of Iowa, and formerly research fellow at the Moscow Institute of Electronics and Mathematics, senior instructor at Hebrew University and software consultant at Ben Gurion University. He wrote extensively about arithmetic, probability, algebra, geometry, trigonometry and mathematical games. He was known for his contribution to heuristics and mathematics education, creating and maintaining the mathematically themed educational website ''Cut-the-Knot'' for the Mathematical Association of America (MAA) Online. He was a pioneer in mathematical education on the internet, having started ''Cut-the-Knot'' in October 1996.Interview with Alexander ...
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Winning Lines (American Game Show)
''Winning Lines'' is an American game show that aired from January 8, 2000, to February 18, 2000, the day after its official cancellation. Adapted from the British format of the same name created by David Briggs, Mike Whitehill and Steven Knight, it was considered as CBS's answer to the success of ABC's ''Who Wants to Be a Millionaire''. ''Winning Lines'' was hosted by Dick Clark, directed by James Yukich and produced by Stone Stanley Entertainment in conjunction with the British production company, Celador. The announcer for the program was Chuck Riley. Geraldo Rivera Geraldo Rivera (born Gerald Riviera; July 4, 1943) is an American journalist, attorney, author, political commentator, and former television host. He hosted the tabloid talk show '' Geraldo'' from 1987 to 1998. He gained publicity with the liv ... was originally considered to host Winning Lines but turned it down due to a last-minute contract dispute and CBS got Clark to host it immediately. Round 1 Forty- ...
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Winning Lines
''Winning Lines'' is a National Lottery game show that was broadcast on BBC One from 12 June 1999 to 16 October 2004. It was originally hosted by Simon Mayo and then by Phillip Schofield. Gameplay Round 1 Forty-nine contestants take part in this round; each is assigned a two-digit number from 01 to 49. In the first series, Mayo asks a question that can be answered by one of these numbers, and anyone who believes that his/her number is the answer may buzz in. Contestants who buzz in wrongly are eliminated. If the owner of the correct number buzzes in; he/she advances to the next round; if not, he/she is eliminated. The host continues to ask questions until six contestants have qualified to advance, at which point all others are eliminated. The format of this round was changed beginning with the second series. Each contestant now has a keypad on which to enter answers. Mayo or Schofield asks a question with a numerical answer, and the contestant who keys it in first in the faste ...
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The Simpsons
''The Simpsons'' is an American animated sitcom created by Matt Groening for the Fox Broadcasting Company. The series is a satirical depiction of American life, epitomized by the Simpson family, which consists of Homer, Marge, Bart, Lisa, and Maggie. The show is set in the fictional town of Springfield and parodies American culture and society, television, and the human condition. The family was conceived by Groening shortly before a solicitation for a series of animated shorts with producer James L. Brooks. He created a dysfunctional family and named the characters after his own family members, substituting Bart for his own name; he thought Simpson was a funny name in that it sounded similar to " simpleton". The shorts became a part of '' The Tracey Ullman Show'' on April 19, 1987. After three seasons, the sketch was developed into a half-hour prime time show and became Fox's first series to land in the Top 30 ratings in a season (1989–1990). Since its debut on Dece ...
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Age Of The Captain
The age of the captain is a mathematical word problem which cannot be answered even though there seems to be plenty of information supplied. It was given for the first time by Gustave Flaubert Gustave Flaubert ( , , ; 12 December 1821 – 8 May 1880) was a French novelist. Highly influential, he has been considered the leading exponent of literary realism in his country. According to the literary theorist Kornelije Kvas, "in Flauber ... in a letter to his sister Caroline in 1841:Flaubert, GustaveLettre à Caroline, 16 mai 1841, ''Correspondance'' , première série (1830–1850), G. Charpentier et Cie, Éditeurs, Paris, 1887 More recently, a simpler version has been used to study how students react to word problems: A captain owns 26 sheep and 10 goats. How old is the captain? Many children in elementary school, from different parts of the world, attempt to "solve" this nonsensical problem by giving the answer 36, obtained by adding the numbers 26 and 10. It has been su ...
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Gustave Flaubert
Gustave Flaubert ( , , ; 12 December 1821 – 8 May 1880) was a French novelist. Highly influential, he has been considered the leading exponent of literary realism in his country. According to the literary theorist Kornelije Kvas, "in Flaubert, realism strives for formal perfection, so the presentation of reality tends to be neutral, emphasizing the values and importance of style as an objective method of presenting reality". He is known especially for his debut novel ''Madame Bovary'' (1857), his ''Correspondence'', and his scrupulous devotion to his style and aesthetics. The celebrated short story writer Guy de Maupassant was a protégé of Flaubert. Life Early life and education Flaubert was born in Rouen, in the Seine-Maritime department of Upper Normandy, in northern France. He was the second son of Anne Justine Caroline (née Fleuriot; 1793–1872) and Achille-Cléophas Flaubert (1784–1846), director and senior surgeon of the major hospital in Rouen. He began writ ...
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Hekat
The hekat or heqat (transcribed ''HqA.t'') was an ancient Egyptian volume unit used to measure grain, bread, and beer. It equals 4.8 litres, or about 1.056 imperial gallons, in today's measurements. retrieved March 22, 2020 at about 7:00 AM EST. Overview Until the New Kingdom the hekat was one tenth of a khar, later one sixteenth; while the New Kingdom (transcribed ''ip.t'') contained 4 hekat. It was sub-divided into other units – some for medical prescriptions – the ''hin'' (1/10), ''dja'' (1/64) and ''ro'' (1/320). The ''dja'' was recently evaluated by Tanja Pommerening in 2002 to 1/64 of a hekat (75 cc) in the MK, and 1/64 of an (1/16 of a hekat, or 300 cc) in the NK, meaning that the ''dja'' was denoted by Horus-Eye imagery. It has been suggested by Pommerening that the NK change came about related to the replacing the hekat as the Pharaonic volume control unit in official lists. Hana Vymazalova evaluated the hekat unit in 2002 within the Akhmim ...
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Rhind Mathematical Papyrus
The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057 and pBM 10058) is one of the best known examples of ancient Egyptian mathematics. It is named after Alexander Henry Rhind, a Scottish antiquarian, who purchased the papyrus in 1858 in Luxor, Egypt; it was apparently found during illegal excavations in or near the Ramesseum. It dates to around 1550 BC. The British Museum, where the majority of the papyrus is now kept, acquired it in 1865 along with the Egyptian Mathematical Leather Roll, also owned by Henry Rhind. There are a few small fragments held by the Brooklyn Museum in New York City and an central section is missing. It is one of the two well-known Mathematical Papyri along with the Moscow Mathematical Papyrus. The Rhind Papyrus is larger than the Moscow Mathematical Papyrus, while the latter is older. The Rhind Mathematical Papyrus dates to the Second Intermediate Period of Egypt. It was copied by the scribe Ahmes (i.e., Ahmose; ''Ahmes'' ...
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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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Essay
An essay is, generally, a piece of writing that gives the author's own argument, but the definition is vague, overlapping with those of a letter, a paper, an article, a pamphlet, and a short story. Essays have been sub-classified as formal and informal: formal essays are characterized by "serious purpose, dignity, logical organization, length," whereas the informal essay is characterized by "the personal element (self-revelation, individual tastes and experiences, confidential manner), humor, graceful style, rambling structure, unconventionality or novelty of theme," etc. Essays are commonly used as literary criticism, political manifestos, learned arguments, observations of daily life, recollections, and reflections of the author. Almost all modern essays are written in prose, but works in verse have been dubbed essays (e.g., Alexander Pope's ''An Essay on Criticism'' and '' An Essay on Man''). While brevity usually defines an essay, voluminous works like John Locke's ''An ...
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