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Auteur(s) : Barbin Evelyne. Dir. ; Vondrová Nad'a. Dir ; Tzanakis Constantinos. Dir.

autre nom d'auteur : Barbin Le Rest Evelyne

Titre : History and epistemology in mathematics education : proceedings of the 5th European Summer University, ESU 5, Prague, July 19-24, 2007. (Histoire et épistémologie dans l'éducation mathématique : Actes de la cinquième l'université d'été. ESU 5)

Editeur : Vydavatelsky Press Prague, 2008
Format : 14,8 cm x 21 cm, 902 p. ISBN : 80-86843-19-X EAN : 9788086843193

Université d'été européenne sur l'histoire et épistémologie dans l'éducation mathématique Prague 2007

Type : actes de colloques, de congrès, conférence Langue : Anglais, Français Support : papier

Public visé : chercheur, enseignant, formateur Niveau : licence Age : 18, 19

Classification : A60Actes de Colloque, rapports et bilans D10Ouvrages généraux sur l'histoire et épistémologie des mathématiques, de l'informatique, et de leur enseignement. Ouvrages généraux sur la philosophie des mathématiques. Actes de Colloques, recueils d'articles. 

Résumé : Abstract

Cet ouvrage contient les textes et les résumés des contributions de la cinquième Université d'Eté Européenne d'Histoire et Epistémologie dans l'Éducation Mathématique (ESU 5). Ils sont répartis en six sections :

1 – Histoire et épistémologie comme outil d'une approche interdisciplinaire de l'enseignement et apprentissage des mathématiques et des sciences
- Leo Corry : Axiomatics Between Hilbert and the New Math: Diverging Views on Mathematical Research and their Consequences on Education
- Didier Bessot : Calculus by Augustin Fresnel (1788–1827) to Improve the Efficiency of Parabolic Reflectors
- Frantisek Kurina et Christian Siebeneicher : Algebra and Geometry in Elementary and Secondary School
- Frédéric Métin : Adam Fritach's "New Fortification"
- Yannis Thomadis et Constantinos Tzanakis : Original Texts in the Classroom
- Michel Roelens : The Volume of a Pyramid Through the Ages
- Christian Gérini : Les Annales de Mathématiques de Gergonne : Un journal du 19 ème siècle numérisé et médiatisé au bénéfice d'une interdisciplinarité entre mathématiques, histoire, didactique et philosophie
- Roger Godard : Linear Programming and Its Mathematical Roots
- Ladislav Kvasz : Historical and Epistemological Aspects of Teaching Algebra
- Konstantinos Nikolantonakis : Did we have “Revolutions” in Mathematics? Examples from the History of Mathematics in the light of T. S. Kuhn's historical philosophy of science
- Sylvie Provost : Pourquoi "faire histoire" dans l'industrie, la recherche et l'enseignement, selon C. Combes (1867), W. H. Bragg (1912), P. Langevin (1926)?
- Sylvie Provost : Why include History into Industry, Research and Teaching?
- Man-Keung Siu : Harmonies in Nature: A Dialogue between Mathematics and Physics
- Athanassios Strantzalos : Geometric Transformations as a Means for the Introduction of Interdisciplinarity and of Educational Elements in High School
- Jiřı́ Cihlar, Petr Eisenmann, Magdalena Kratka et Petr Vopenka : A Coherence of Ontogeny and Phylogeny of Infinity Within the Context of a Geometrical Problem
- Miranda Isaias : Linear Movement of Objects
- Anna Maria Mercurio et Nicla Palladino : On the Resolution of Algebraic Equations
- Raffaele Pisano : Evariste Galois' Group Theory
- Sevim Sevgi : Harmonograph application into our lessons
- Dominique Tournès : Geometrical Approach to Differential Equations

2 – Introduction d'une dimension historique de l'enseignement et apprentissage des mathématiques
- Luis Puig : Researching the History of Algebraic Ideas from an Educational Point of View
- Evelyne Barbin, Fritz Schweiger, Luis Radford et Frank Swetz : Mathematics of Yesterday and Teaching of Today
- Rita Bastos et Eduardo Veloso : Episodes of the History of Geometry
- Robert Burn : Towards a Definition of Limit
- Renaud Chorlay et Philippe Brin : Using Historical Texts in the Classroom
- Carlos Correia de Sa : Cinq courbes avec leur histoire: la quadratrice, la spirale, la conchoı̈de, la cissoı̈de et la cycloı̈de
- Carlos Correia de Sa et Alejandro S. Gonzalez-Martin : Historical-Epistemological Dimension of the Improper Integral As a Guide for New Teaching Practices
- Odile Kouteynikoff : About Fibonacci's Book of Squares
- Michel Ballieu et Marie-France Guisard : Pour une culture mathématique accessible à tous
- Adriano Dematte : Historical Documents in Everyday Classroom Work
- Isabel Cristina Dias : From the original texts of Pedro Nunes to the mathematics classroom activities
- Victor Katz : Historical Modules for the Teaching and Learning of Mathematics
- Michael Kourkoulos et Constantinos Tzanakis : Enhancing Students' Understanding on the Method of Least Squares: an Interpretative Model Inspired By Historical and Epistemological Considerations
- Michela Maschietto et Francesca Martignone : Activities with Mathematical Machines
-Theodorus Paschos et Vassiliki Farmaki : The Integration of Genetic Moments in the History of Mathematics and Physics in the Designing of Didactic Activities Aiming to Introduce First-Year Undergraduates to Concepts of Calculus
- Chris Weeks : Using Historical Material in the Mathematics Classroom: Condorcet's Paradox
- Robin Wilson : Solving Dotty Problems
- Greisy Winiki-Landman : Playing with Fractions a La Leibniz
- Eva Caianiello : Le problème d'oiseaux: procédés de résolution dans l'histoire des mathématiques
- Kathleen Clark : Reflection and Revision - First Experiences with a Using History Course
- Johan H De Klerk : History and Epistemology As Tools in Teaching Mathematics
- Eleni Dimitriadou : Didactical and Epistemological Issues Related to the Concept of Proof
- Michael R. Glaubitz : The Use of Original Sources in the Classroom
- Hans Niels Jehnke : Students Working on Their Own Ideas
- Po-hung Liu : Investigation of Students' Perceptions of the Infinite
- Andreas Poulos : A Multidimensional Approach to “De L'Hospital Rule”
- Maria do Ceu Silva : Bento Fernandes' Tratado da Arte de Arismetica (Porto, 1555)
- Frank J. Swetz : Historical Problems: A Valuable Resource for Mathematics Classroom Instruction
- Oscar Joao Abdounur : An Exhibition As a Tool to Approach Didactical and Historical Aspects of the Relationship Between Mathematics and Music
- Funda Gonulates : Mathematics Theather
- Gavin Hitchcock : Approaching Mathematical Analysis with the Help of Its History
- Uffe Thomas Jankvist : A Teaching Module on the early history of error correcting codes
- Jim J. Tattersall : Bringing Ramanujan Into the Classroom
- Paula Gallopin et Luciana Zuccheri : A Teaching Experience wirh a High-Level Group of Students about the History of Mathematical Methods in Approaching the Concepts of Area and Volume

3 – Histoire et épistémologie dans l'enseignement des mathématiques
- Fritz Schweiger : The Grammar of Mathematical Symbolism
- Giorgio T. Bagni, Caterina Vicentini : History and Epistemology of Calculus and Algebra, Celebrating Leonhard Euler's Tercentenary
- Jindrich Becvar, Vlastimil Dlab, Dag Hruby, Frantisek Kurina : Education of Mathematics Teachers (In Algebra and Geometry, in Particular)
- Anne Boyé : When High School Students Are Taught Chasles
- Michael N. Fried, Alain-Guy Bernard : Reading and Doing Mathematics in the Humanist Tradition
- Jean-Paul Guichard : Viète and the Advent of Literal Calculus
- Martine Bühler et Anne Michel-Pajus : About different kinds of proofs encountered specifically in arithmetic (Fermat's Little Theorem)
- Stelios Negrepontis, Dionysios Lamprinidis : Workshops based on historical and epistemological material
- Irene Polo-Blanco : Regular and Semi-Regular Polytopes
- Luis Radford : Generality and Mathematical Indeterminacy
- Milan Hejny, Naďa Stehlikova : Didactic Simulation of Historical Discoveries in Mathematics
- Nitsa Movshovitz-Hadar : Today's Mathematical News Are Tomorrow's History
- Leo Rogers : Early Methods for Solving Real Problems
- Bjorn Smestad : Various Materials for Primary School Teacher Training
- Martina Becvarova : History of Mathematics as a Part of Mathematical Education
- Alain-Guy Bernard : History of Science and Technology in the French System for Teacher Training
- Antonin Jancarik : The Influence of IT on the Development of Mathematics and on the Education of Future Teachers
- Bernadette Morey : Navigation Instruments and Teacher Training
- Sifis Petrakis : The Role of the Fifth Postulate in the Euclidean Construction of Parallels
- Klaus Volkert : The Problem of the Dimensions of Space in the History of Geometry
- Kamila Cmejrkova : Solving Logical Problems and Communicative Skills By the Groups of Pupils
- E. Mehmet Ozkan, Hasan Unal : Influence of Mathematicians in History on Pre-Service Mathematics Teachers' Beliefs About the Nature of Mathematics
- David Stein : Some Questions Regarding the Historical Role of Constructivism in Mathematics Education
- Luciana Zuccheri, Verena Zudini : The Question of Changing Mathematics Secondary School Curricula in Venezia Giulia After the First World War (1918–1923)

4 – Cultures et mathématiques
- Ulrich Rebstock : Mathematics in the Service of the Islamic Community
- Christine Proust : Histoires de zéros
- Marie-Noëlle Racine : Femmes mathématiciennes dans l'histoire
- Gail E. Fitzsimons : Mathematics and the Personal Cultures of Students
- Adriana Cesar De Mattos : The Process of Recognition in the history of Mathematics
- Harald Gropp : The Relations Between Mathematics and Music in Different Regions and Periods of World History
- Leo Rogers : Leonard and Thomas Digges: 16th Century Mathematical Practitioners
- Eduardo Sebastiani Ferreira : Using Ethno-Mathematics in the Graduation of the Indian Teacher
- Robin Wilson : Lewis Carroll in Numberland
- Cecilia Costa, Paula Catarino, Maria Manuel Silva Nascimento : Could Mathematics Transform My Land in the Capital of Universe?
- Gohar Marikyan : Anania Shirakatsi's 7 th Century Methodology of Teaching Arithmetic Across the Centuries and Diverse Cultures
- Elfrida Ralha, Angela Lopes : On the Portuguese Mathematical Readings about the Gregorian Calendar Reform
- Carlos A. S. Vilar : La Dépression du Soleil, Au Début du Crépuscule Matinal et à La Fin du Vespéral, D'après Pedro Nunes, Dans Son Ouvrage Des Crepusculis

5 – Histoire de l'enseignement des mathématiques en Europe
- Hélène Gispert, Gert Schubring : The History of Mathematics Education and Its Contexts in 20 th Century France and Germany
- Hélène Gispert, Gert Schubring, Nikos Kastanis, Livia Giacardi : The Emergence of Mathematics as a Major Teaching Subject in Secondary Schools
- Maria Elfrida Ralha, Maria Fernanda Estrada : Reflection Upon a “Method for Studying Maths”, by José Monteiro Da Rocha (1734–1819)
- Jose Manuel Matos : Variations in Mathematical Knowledge Occurring in the Modern Mathematics Reform Movement
- Marta Menghini : The Eléments De Géométrie of A. M. Legendre
- Harm Jan Smid : Heuristic Geometry Teaching: Preparing the Ground Or a Dead End?
- Eric Barbazo : Le rôle de l'association des professeurs de mathématiques de l'enseignement public (A.P.M.E.P.) dans la création des instituts de recherche sur l'enseignement des mathématiques (I.R.E.M.)
- Monica Blanco : Differential Calculus in Military Schools in Late Eighteenth-Century France and Germany
- Tony Crilly : Mathematical Education at Cambridge University in the Nineteenth Century
- Renaud d'Enfert : Du calcul aux mathématiques? L'introduction des "mathématiques modernes" dans l'enseignement primaire français, 1960-1970
- Javier Docampo : Manuscripts and Teachers of Commercial Arithmetic in Catalonia (1400–1521)
- Livia Giacardi : The Italian School of Algebraic Geometry and the Formative Role of Mathematics in Secondary Teaching
- Snezana Lawrence : Descriptive Geometry in England — a Historical Sketch
- Pavel Sisma : Teaching at the Technical Universities in Retrospect
- Jérôme Auvinet : C.–A. Laisant Through His Book La Mathematique, Philosophie — Enseignement
- Kristin Bjarnadottir : The Number Concept and the Role of Zero in Northern-European Arithmetic Textbooks
- Cecilia Costa : Introducing a Historical Dimension Into Teaching
- Alexandra Gomes, Elfrida Rahla : Mathematical Training and Primary School Teachers
- Gérard Hamon, Loic Le Corre : Evidence and Culture, Rigor and Pedagogy
- Mario H. Ramirez Diaz : The Evolution in the Introduction of Learning Style in the Teaching of Calculus in Mexico

6 – Mathématiques en Europe centrale
- Magdalena Hyksova : Contribution of Czech Mathematicians To Probability Theory
- Ewa Lakoma : From Vitellonis's Geometry to Unravelling the Secret of “Enigma”
- Jan Van Maanen : The Work of Euler and the Current Discussion About Skills
- Michaela Chocholova : Wilhelm Matzka (1798–1891) and His Algebraic Works
- Karel Lepka : E. and K. Mathematical Olympics
- Frédéric Métin, Patrick Guyot : Erasmus Habermel's Geometrical Square
- Reinhard Siegmund-Schultze : Nazi Rule and Teaching of Mathematics in the Third Reich, Particularly School Mathematics
- Dana Trkovska : The Influence of the Erlanger and the Meraner Programm on Mathematics Education in Czech Countries
- Leonardo Venegas : Prague et l'infini

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© ADIREM-APMEP -2003- ISSN 1292-8054 Mise à jour 20/01/2018
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