Overview
- Presents a new perspective on the history of mathematics teaching by looking at descriptive geometry in the 19th century
- Offers myriad international viewpoints on history of mathematics teaching from renowned specialists across the field
- Concerns relations between technics, arts and mathematics
Part of the book series: International Studies in the History of Mathematics and its Teaching (ISHMT)
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About this book
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.
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Keywords
- History of Mathematics
- History of Mathematical Teaching
- Internationalization of Mathematics in 19th century
- Polytechnic schools
- Descriptive Geometry in France
- Descriptive Geometry in Italy
- Descriptive and Projective Geometry in Technical Instruction
- Descriptive Geometry in 19th Century Spain
- Late modern European outlook on science and technology
- Descriptive Geometry in Austria
- Otto Wilhelm Fiedler
- Engineering Studies and Secondary Education
- Descriptive Geometry in the Netherlands
- Descriptive Geometry in the Educational Institutions in Greece
- The Rise and Fall of Descriptive Geometry in Denmark
- Descriptive Geometry at Czech Technical Universities
- Descriptive Geometry in America and Africa
- The Myth of the Polytechnic School
Table of contents (22 chapters)
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First Spreading in Southern Europe
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Installation of Descriptive Geometry in Europe
Reviews
“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)
Editors and Affiliations
About the editors
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 InternationalCommission 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).
Bibliographic Information
Book Title: Descriptive Geometry, The Spread of a Polytechnic Art
Book Subtitle: The Legacy of Gaspard Monge
Editors: Évelyne Barbin, Marta Menghini, Klaus Volkert
Series Title: International Studies in the History of Mathematics and its Teaching
DOI: https://doi.org/10.1007/978-3-030-14808-9
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-14807-2Published: 11 July 2019
Softcover ISBN: 978-3-030-14810-2Published: 15 August 2020
eBook ISBN: 978-3-030-14808-9Published: 01 July 2019
Series ISSN: 2524-8022
Series E-ISSN: 2524-8030
Edition Number: 1
Number of Pages: XXVI, 437
Number of Illustrations: 63 b/w illustrations, 24 illustrations in colour
Topics: History of Mathematical Sciences, Mathematics Education, International and Comparative Education, Geometry