Descriptive Geometry, the Spread of a Polytechnic Art: The Legacy of Gaspard Monge

ISBN-13: 9783030148072 / Angielski / Twarda / 2019 / 437 str.

Evelyne Barbin; Marta Menghini; Klaus Volkert

Recenzje

"I learned much from this book and it caused me to reflect on various aspects of mathematics education in ways I would have not have before. ... I warmly recommend mathematics educators to include Évelyne Barbin, Marta Menghini, and Klaus Volkert's volume on their bookshelves." (Michael N. Fried, Educational Studies in Mathematics, Vol. 106, 2021)

Spis treści

Table of Contents

 

Part I- First spreading in Western Europe

 

Chapter 1        Monge’s Descriptive Geometry: his Lessons and the Teachings given by

                        Lacroix and Hachette

                                                                                                                        Évelyne Barbin

Chapter 2        Descriptive Geometry in France: Circulation, Transformation, Recognition

                        (1795-  1905)

                                                                                                                        Évelyne Barbin

Chapter 3        Descriptive Geometry in Italy in the 19th Century: Spread, Popularization,                         Teaching                                                                                   

                                                                                                                        Roberto Scoth

Chapter 4        Luigi Cremona and Wilhelm Fiedler: the Link between Descriptive and                              Projective Geometry in Technical Instruction

                                                                                                                        Marta Menghini

Chapter 5        Descriptive Geometry in 19th Century Spain: from Monge to Cirodde

                                                                                                                        Elena Ausejo

Chapter 6        Descriptive Geometry in Spain and the Emergence of the late Modern                                European outlook on the Relationship between Pure Science and Technology

                                                                                                            Ana Millán Gasca

Chapter 7        Portuguese books of Descriptive Geometry, from University and Polytechnic                     to Secondary School

                                    Eliana Manuel Pinho, José Carlos Santos, João Pedro Xavier

 

Part II- Installation of Descriptive Geometry in Europe

 

Chapter 8        A German Interpreting of Descriptive Geometry and Polytechnic

                                                                                                                        Nadine Benstein

Chapter 9        The Evolution of Descriptive Geometry in Austria

                                                                                                                        Hellmuth Stachel

Chapter 10      The Vienna School of Descriptive Geometry

                                                                                                                        Christa Binder

Chapter 11      Otto Wilhelm Fiedler and the Synthesis of Projective and Descriptive                                 Geometry

                                                                                                                        Klaus Volkert

Chapter 12      At the Crossroads of two Engineering Cultures, or An Unedited Story of the                     French Polytechnician Charles Potier’s Descriptive Geometry Books in Russia

                                                                            Irina Gouzevitch and Dmitri Gouzevitch

Chapter 13      Engineering Studies and Secondary Education: Descriptive Geometry in the                                  Netherlands (1820-1960)

                                                                                                                        Jenneke Krüger

Chapter 14      In Pursuit of Monge’s Ideal: the Introduction of Descriptive Geometry in the                                 Educational Institutions in Greece during the 19th century

                                                                                                                        Christine Phili

Chapter 15      The Rise and Fall of Descriptive Geometry in Denmark

                                                                                                                        Jesper Lützen

Chapter 16      Descriptive Geometry at Czech Technical Universities until 1939

                                                                                                            Vlasta Moravcová

Chapter 17      The Love Affair with Descriptive Geometry: Its History in Serbia

                                                            Katarina Jevtic Novakovic and Snezana Lawrence

Chapter 18      Descriptive geometry in England – Lost in Translation

                                                                                                            Snezana Lawrence

Part III- Descriptive geometry in America and Africa

 

Chapter 19      Teaching of Descriptive Geometry in the United States (1817-1915):                                  Circulation among Military Engineers, Scholars and Draftsmen

                                                                                                            Thomas Préveraud

Chapter 20      The Teaching of Descriptive Geometry in Egypt (1837–1902)

                                                                                                                        Pascal Crozet

Chapter 21      The Dissemination of Descriptive Geometry in Latin America

                                                                                    Gert Schubring, Vinicius Mendes,

                                                                            Thiago Oliveira and Luiz Carlos Guimarães

 

Epilogue

 

Chapter 22      The Myth of the Polytechnic School

Gert Schubring

O autorze

Evelyne Barbin was previously a professor of epistemology and history of sciences at the University of Nantes (France). Since 2014, she is now professor emeritus at the University of Nantes. She is a member of the Laboratory of Mathematics Jean Leray CNRS UMR 6629, where she is in charge of the research group on history of mathematics. She taught history of mathematics and sciences in all levels of teaching from licence to master. She was the director of 15 theses on the history of mathematics and sciences. Her research concerns three fields: history of mathematics, history of mathematics teachings, and relations between history and teaching of mathematics. The main themes of her historical research are: mathematical proofs in history, mathematics and sciences in the 17th and 19th centuries, and history of mathematics teaching from the 19th to the 20th century. She has worked at the IREM (Institute for Research on Mathematics Education) since 1975. As convenor of the National Committee of the IREM “Epistemology and History of Mathematics”, she has organized 20 national colloquia, 8 interdisciplinary Summer Universities on history and teaching mathematics, and the first European Summer University (ESU) "Epistemology and History in Mathematics Education" in 1993. She was chair of seven ESUs from 1996 to 2014. Since 1980, she has also been a member of the International Study Group on the Relations between History and Pedagogy of Mathematics (HPM). She was the chair of HPM from 2008 to 2012.

Marta Menghini is an associate professor in the Department of Mathematics of the University of Rome Sapienza. She is the author of numerous published works in the fields of Mathematics Education, History of Mathematics, and the History of Mathematics Education. She was in the Scientific Committee and chaired the Organizing Committee of the International Symposium held in Rome in March 2008, “The First Century of the International Commission on Mathematical Instruction: Reflecting and Shaping the World of Mathematics Education”, and edited the volume published on this occasion by Enciclopedia Italiana. In 2012, she held a Regular Lecture at ICME 12 in Seoul. She wrote, with Evelyne Barbin, the Chapter on “History of Teaching Geometry” in the International Handbook on the History of Mathematics Education. She was involved in the translation of Felix Klein’s third volume on “Elementary Mathematics from a Higher Standpoint”, which appeared in 2016.

Klaus Volkert is a full professor at the University of Wuppertal; he lectures on mathematics, didactics, and history. His interests are mainly in the history of geometry and topology, and recently he started a project on Wilhelm Fiedler. He is Editor in Chief of the journal “Mathematische Semesterberichte” (together with J. Steuding) and editor of the series “Mathematik im Kontext” (with David Rowe).

Blurb

This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.