Agr Gation De Math Matiques
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Agregation Interne 2014
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Author : Grgoire Dupont
language : fr
Publisher: CreateSpace
Release Date : 2014-06-06
Agregation Interne 2014 written by Grgoire Dupont and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-06 with Mathematics categories.
Cet opuscule contient l'énoncé et une correction détaillée de la seconde épreuve de l'agrégation interne de mathématiques 2014.Ce sujet s'articule autour de grands résultats classiques de l'analyse réelle (théorème d'approximation de Weierstrass, inégalité de Hölder, etc...) mais les méthodes employées sont essentiellement probabilistes.On y trouve aussi quelques éléments de géométrie à travers l'étude des courbes de Bézier.L'auteur, formateur à l'ESPE de Guadeloupe, a porté un soin particulier à la clarté des arguments apportés dans cette correction.Des notes bibliographiques et biographiques ont été ajoutées afin de permettre au candidat d'approfondir sa connaissance du domaine.
Agr Gation Interne 2015 Deux Compositions De Math Matiques
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Author : Dany-Jack Mercier
language : fr
Publisher:
Release Date : 2015-04-25
Agr Gation Interne 2015 Deux Compositions De Math Matiques written by Dany-Jack Mercier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-25 with categories.
Ce volume d'annales contient les énoncés des deux compositions de l'agrégation interne de mathématiques 2015, leurs corrections détaillées avec soin et quelques rappels et compléments, dont un formulaire sur les intégrales impropres et une étude des polynômes cyclotomiques pour prolonger le travail dans les corps finis.Ces annales ont été enrichies de remarques pour offrir un bon outil de travail sur ces deux compositions.La première composition permet de travailler sur un très joli problème sur des espaces de matrices à coefficients dans des corps finis. L'énoncé, progressif et suffisamment détaillé, permet au candidat d'entrer aisément dans le sujet s'il est un tant soit peu préparé sur ces thèmes algébriques. La seconde épreuve, difficile, porte sur la fonction Gamma, les produits infinis de fonctions, et les suites de variables aléatoires. L'objectif du problème est de démontrer quelques propriétés de la fonction Gamma. Si certaines questions du début peuvent être traitées moyennant certaines connaissances à mettre en oeuvre, notamment concernant la convergence des intégrales impropres et les résultats sur la dérivabilité des fonctions définies à l'aide d'intégrales, le problème se corse vite et la progression devient pénible dans les deux dernières parties III et IV. L'un des objectifs des annales corrigées est de se préparer aux prochaines épreuves et réinvestir ses connaissances. C'est dans cette optique que l'on trouvera un bonus constitué d'un développement de cours sur les polynômes cyclotomiques définis sur un corps de caractéristique 0 ou un corps fini. Ce bonus permettra de continuer le périple dans ces espaces étonnants, avec une arrière-pensée : celle de réviser certaines parties du programme, mais aussi celle de terminer par une démonstration du théorème de Wedderburn suivant lequel tout corps fini est commutatif. Ce théorème était important dans la première épreuve 2015 où il permettait au candidat de travailler dans un corps fini en sachant qu'il était commutatif, sans perdre de temps à se demander si c'était le cas. On notera en passant que certaines questions de la première épreuve ne précisaient pas que l'on travaillait dans un corps commutatif, ce qui ne pouvait pas en fait être autrement, mais a dû déstabiliser des candidats (voir les remarques placées à la fin des réponses aux questions 3.a et 4). Ce bonus sera aussi l'occasion de réviser la formule d'inversion de Moebius, la notion de polynôme primitif, et le critère d'Eisenstein. De belles révisions en perspective.
Teaching School Mathematics
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Author : Willy Servais
language : en
Publisher: Harmondsworth : Penguin
Release Date : 1971
Teaching School Mathematics written by Willy Servais and has been published by Harmondsworth : Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Education categories.
The Teaching Of Statistics
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Author : Robert Morris
language : en
Publisher:
Release Date : 1989
The Teaching Of Statistics written by Robert Morris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematical statistics categories.
The Influence Of Computers And Informatics On Mathematics And Its Teaching
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Author : R. F. Churchhouse
language : en
Publisher: CUP Archive
Release Date : 1986-01-31
The Influence Of Computers And Informatics On Mathematics And Its Teaching written by R. F. Churchhouse and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-31 with Mathematics categories.
First published in 1986, the first ICMI study is concerned with the influence of computers and computer science on mathematics and its teaching in the last years of school and at tertiary level. In particular, it explores the way the computer has influenced mathematics itself and the way in which mathematicians work, likely influences on the curriculum of high-school and undergraduate students, and the way in which the computer can be used to improve mathematics teaching and learning. The book comprises a report of the meeting held in Strasbourg in March 1985, plus several papers contributed to that meeting.
Connecting Mathematics And Mathematics Education
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Author : Erich Christian Wittmann
language : en
Publisher: Springer Nature
Release Date : 2020-12-09
Connecting Mathematics And Mathematics Education written by Erich Christian Wittmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-09 with Education categories.
This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
Cohomology Operations
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Author : Norman Earl Steenrod
language : en
Publisher:
Release Date : 1962-10-21
Cohomology Operations written by Norman Earl Steenrod and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-10-21 with Mathematics categories.
Written and revised by D. B. A. Epstein.
To Understand Is To Invent
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Author : Jean Piaget
language : en
Publisher:
Release Date : 1980
To Understand Is To Invent written by Jean Piaget and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Mathematics Ideas And The Physical Real
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Author : Albert Lautman
language : en
Publisher: A&C Black
Release Date : 2011-06-02
Mathematics Ideas And The Physical Real written by Albert Lautman and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Task Design In Mathematics Education
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Author : Anne Watson
language : en
Publisher: Springer
Release Date : 2015-10-26
Task Design In Mathematics Education written by Anne Watson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-26 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.