Frédérique Lenger
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Frédérique Lenger
Frédérique Papy-Lenger (August 12, 1921 – January 9, 2005) was a Belgian mathematician and mathematics educator active in the New Math movement of the 1960s and 1970s. Early life and education Frédérique Lenger was born on August 12, 1921 in Arlon, Belgium, one of three daughters of a lawyer. After studying classics in the Lycée Royal d’Arlon, she studied for a licentiate in mathematics at the Université libre de Bruxelles from 1939 to 1943. The University officially closed in 1941 to prevent its takeover by the German occupation, and her studies continued underground. In 1968, she completed a doctorate with a two-part thesis, one part on mathematics education and the other on geometric transformation groups. Career From 1947 to 1950, Lenger taught mathematics at the l’Ecole Decroly, while working as an assistant to mathematician Paul Libois, who suggested that she perform research involving projective geometry and triality. This became a precursor to the work of a ...
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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 ...
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Abstract Algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''abstract algebra'' was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the ''variety of groups''. History Before the nineteenth century, algebra meant ...
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Mathematics Educators
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 ...
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Women Mathematicians
A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural ''women'' is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age. Typically, women inherit a pair of X chromosomes, one from each parent, and are capable of pregnancy and giving birth from puberty until menopause. More generally, sex differentiation of the female fetus is governed by the lack of a present, or functioning, SRY-gene on either one of the respective sex chromosomes. Female anatomy is distinguished from male anatomy by the female reproductive system, which includes the ovaries, fallopian tubes, uterus, vagina, and vulva. A fully developed woman generally has a wider pelvis, broader hips, and larger breasts than an adult man. Women have significantly less facial and other body hair, have a higher body fat composition, and are on average shorter and less muscular than men. Througho ...
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Belgian Mathematicians
Belgian may refer to: * Something of, or related to, Belgium * Belgians, people from Belgium or of Belgian descent * Languages of Belgium, languages spoken in Belgium, such as Dutch, French, and German * Ancient Belgian language, an extinct language formerly spoken in Gallia Belgica * Belgian Dutch or Flemish, a variant of Dutch *Belgian French, a variant of French * Belgian horse (other), various breeds of horse * Belgian waffle, in culinary contexts * SS ''Belgian'', a cargo ship in service with F Leyland & Co Ltd from 1919 to 1934 *''The Belgian ''The Belgian'' is a 1917 American silent film directed by Sidney Olcott and produced by Sidney Olcott Players with Valentine Grant and Walker Whiteside in the leading roles. It is not known whether the film currently survives. Plot As descr ...'', a 1917 American silent film See also * * Belgica (other) * Belgic (other) {{Disambiguation ...
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2005 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ...
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1921 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * 19 (film), ''19'' (film), a 2001 Japanese film * Nineteen (film), ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * 19 (Adele album), ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD (rapper), MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * XIX (EP), ''XIX'' (EP), a 2019 EP by 1the9 Songs * 19 (song), "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album ''Refugee (Bad4Good album), Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * Nineteen (song), "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus ...
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University Of The Basque Country
The University of the Basque Country ( eu, Euskal Herriko Unibertsitatea, ''EHU''; es, Universidad del País Vasco, ''UPV''; UPV/EHU) is a Spanish public university of the Basque Autonomous Community. Heir of the University of Bilbao, initially it was made up of the Faculty of Economic and Business Sciences of Sarriko (1955), Medicine (1968) and Sciences (1968). Following the General Law of Education (1970), the Nautical School (1784), the School of Business Studies of Bilbao (1818) and the Technical Schools of Engineers (1897) joined in, until it grew into the complex of thirty centers that compose it presently. It has campuses over the three provinces of the autonomous community: Biscay Campus (in Leioa, Bilbao, Portugalete and Barakaldo), Gipuzkoa Campus (in San Sebastián and Eibar), and Álava Campus in Vitoria-Gasteiz. It stands out as the main research institution in the Basque Country, carrying out 90% of the basic research carried out in that territory and benefiting fr ...
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Binary Number
A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" ( one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation. History The modern binary number system was studied in Europe in the 16th and 17th centuries by Thomas Harriot, Juan Caramuel y Lobkowitz, and Gottfried Leibniz. However, systems related to binary numbers have appeared earlier in multiple cultures including ancient Egypt, China, and India. Leibniz was specifica ...
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International Congress On Mathematical Education
The International Commission on Mathematical Instruction (ICMI) is a commission of the International Mathematical Union and is an internationally acting organization focussing on mathematics education. ICMI was founded in 1908 at the International Congress of Mathematicians (ICM) in Rome and aims to improve teaching standards around the world, through programs, workshops and initiatives and publications. It aims to work a great deal with developing countries, to increase teaching standards and education which can improve life quality and aid the country. HistoryICMIwas founded at the ICM, and mathematician Felix Klein was elected first president of the organisation. Henri Fehr and Charles Laisant created the international research journal '' L'Enseignement Mathématique'' in 1899, and from early on this journal became the official organ of ICMI. A bulletin is published twice a year by ICMI, and from December 1995 this bulletin has been available at the organisation's official webs ...
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Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of '' naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ...
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New Math
New Mathematics or New Math was a dramatic but temporary change in the way mathematics was taught in American grade schools, and to a lesser extent in European countries and elsewhere, during the 1950s1970s. Curriculum topics and teaching practices were changed in the U.S. shortly after the Sputnik crisis. The goal was to boost students' science education and mathematical skill to meet the technological threat of Soviet engineers, reputedly highly skilled mathematicians. Overview After the Sputnik launch in 1957, the U.S. National Science Foundation funded the development of several new curricula in the sciences, such as the Physical Science Study Committee high school physics curriculum, Biological Sciences Curriculum Study in biology, anCHEM Studyin chemistry. Several mathematics curriculum development efforts were also funded as part of the same initiative, such as th School Mathematics Study Group, anUniversity of Illinois Committee on School Mathematics These curric ...
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