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Mathematics and Race in Turin: the Jewish Community and the Local Context of Education (1848-1945)

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“DIG WHERE YOU STAND” 4 Proceedings of the Fourth International Conference on the History of Mathematics Education September 23-26, 2015, at University of Turin, Italy Editors: Kristín Bjarnadóttir Fulvia Furinghetti Marta Menghini Johan Prytz Gert Schubring “Dig where you stand” 4 Proceedings of the Fourth International Conference on the History of Mathematics Education September 23-26, 2015, at University of Turin, Italy Editors: Kristín Bjarnadóttir University of Iceland, School of Education, Reykjavík, Iceland Fulvia Furinghetti Dipartimento di Matematica dell’Università di Genova, Italy Marta Menghini Dipartimento di Matematica, Sapienza Università di Roma, Italy Johan Prytz Uppsala University, Department of Education, Sweden Gert Schubring Universidade Federal do Rio de Janeiro, Instituto de Matemática, Brazil Institut für Didaktik der Mathematik, Universität Bielefeld, Germany In the front cover: A classroom of a primary school (rural area of Northern Italy in the 1940s) In the back cover: View of Turin, venue of the conference These proceedings are published with the contribution of INdAM (Istituto Nazionale di Alta Matematica) Copyright © 2017 Edizioni Nuova Cultura - Roma ISBN: 9788868128647 DOI: 10.4458/8647 È vietata la riproduzione non autorizzata, anche se parziale, realizzata con qual- siasi mezzo, compresa la fotocopia, anche ad uso interno o didattico. Contents Introduction .................................................................................................................. 9 Preface ......................................................................................................................... 11 Ferdinando Arzarello The role of Reye’s Geometrie der Lage in the teaching of “modern geometry” ............................................................................................. 15 Evelyne Barbin The teaching of mathematics, architecture and engineering in the Ancien Régime in Turin .................................................................................... 31 Rita Binaghi Recommendations of the Royaumont Seminar on primary school arithmetic – Influences in the Nordic countries ......................................................................... 47 Kristín Bjarnadóttir John Dewey and mathematics education in Sweden ........................................... 61 Kajsa Bråting, Tove Österman Mathematics in the initial pre-service education of primary school teachers in Portugal (1926-1974) ............................................ 73 Rui Candeias Early geometry textbooks printed in Persian ........................................................ 87 Gregg De Young The mathematical journals for teachers and the shaping of mathematics teachers’ professional identity in post-unity Italy ............................................... 101 Fulvia Furinghetti Teaching and dissemination of mathematics in Beppo Levi’s work. From Italy to Argentina ......................................................................................... 117 Livia Giacardi, Margherita Raspitzu Half a century of Pythagoras, a mathematical magazine for students and teachers ....................................................................................... 133 Jan Guichelaar 6 Contents On the Russian national subcommission of the ICMI ...................................... 149 Alexander Karp Changing direction: The “Second Round” of the School Mathematics Study Group ........................................................................ 167 Jeremy Kilpatrick Mathematische Liefhebberye (1754-1769) and Wiskundig Tijdschrift (1904-1921): both journals for Dutch teachers of mathematics .............................................. 175 Jenneke Krüger Mathematics and race in Turin: the Jewish community and the local context of education (1848-1945) ................................................. 189 Erika Luciano Precision and approximation mathematics for teacher education: The lecture course of Guido Castelnuovo and the influence of Felix Klein ....... 203 Marta Menghini The standardisation of the place of problems in French geometry textbooks during the 19thcentury ...................................... 219 Guillaume Moussard The problem section of El Progreso Matemático .................................................... 235 Antonio M. Oller-Marcén The teaching of mathematics in the Italian artillery schools in the eighteenth century ........................................................................................ 247 Elisa Patergnani On the relationships between the geometric and the algebraic ideas in Duhre’s textbooks of mathematics, as reflected via Book II of Euclid’s Elements ....................................................... 263 Johanna Pejlare Mathematics textbooks for teachers training in Spain in the second half of 19th century: The metric system implementation ........ 275 Miguel Picado, Luis Rico, Bernardo Gómez Teaching of mathematics in educational journals of Turin (1849-1894) ........ 293 Chiara Pizzarelli The production of textbooks in mathematics in Sweden, 1930-1980 ............. 309 Johan Prytz Contents 7 New conceptions of mathematics and research into learning and teaching: Curriculum projects for primary and secondary schools in the UK (1960-1979) ........................................................................................... 325 Leo Rogers Mathematics teaching in the process of decolonization ................................... 349 Gert Schubring Johan Wansink and his role in Dutch mathematics education ........................ 369 Harm Jan Smid Marxism and mathematics. Paul Libois and intuitive geometry in Belgium .. 383 Geert Vanpaemel, Dirk De Bock Olivier string models and the teaching of descriptive geometry ..................... 399 João Pedro Xavier, Eliana Manuel Pinho The function of a preface: Contextual information and didactical foundation described in the preface and introduction of a textbook in arithmetic from 1825 (Abstract) .............................................. 415 Andreas Christiansen A case study on the teaching of mathematics in the Italian Renaissance: Niccolò Tartaglia and his General Trattato (Abstract) ......................................... 417 Veronica Gavagna Contributors ............................................................................................................. 419 Index .......................................................................................................................... 429 Introduction From 23 to 26 September 2015 the fourth International Conference on the His- tory of Mathematics Education (ICHME-4) was held at Academy of Sciences and University of Turin, Italy. The local organizers were Livia Giacardi and Erika Lu- ciano. The Scientific Program Committee was composed by Kristín Bjarnadóttir (University of Iceland), Fulvia Furinghetti (University of Genoa, Italy), Livia Gia- cardi (University of Turin, Italy), Erika Luciano (University of Turin, Italy), Johan Prytz (Uppsala University), Gert Schubring (Universität Bielefeld, Germany/Uni- versidade Federal do Rio de Janeiro, Brazil), with the scientific support of Ferdi- nando Arzarello (University of Turin, Italy), president of ICMI. Altogether there were 51 participants from 16 countries, 44 contributions (re- search reports and posters) were presented. After processing by peer reviews, 28 papers are published in these Proceedings. They may be categorized according to the following thematic dimensions: Ideas, people and movements Kristín Bjarnadóttir; Kajsa Bråting and Tove Österman; Livia Giacardi and Mar- gherita Raspitzu; Erika Luciano; Gert Schubring; Harm Jan Smid. Transmission of ideas Fulvia Furinghetti; Jan Guichelaar; Alexander Karp; Jenneke Krüger; Antonio M. Oller-Marcén, Chiara Pizzarelli. Teacher education Rui Candeias; Marta Menghini. Geometry and textbooks Evelyne Barbin; Gregg De Young; Guillaume Moussard; Johanna Pejlare. Textbooks – changes and origins Andreas Christiansen; Veronica Gavagna; Miguel Picado, Luis Rico, and Bernardo Gómez; Johan Prytz. Curriculum and reforms Jeremy Kilpatrick; Leo Rogers. 10 Introduction Teaching in special institutions Rita Binaghi; Elisa Patergnani. Teaching of geometry Geert Vanpaemel and Dirk De Bock; João Pedro Xavier and Eliana Manuel Pinho. To emphasize the continuity of the project behind the conference held in Turin the volume containing the proceedings keeps the original title of the first confer- ence, i.e. “Dig where you stand ” (followed by 4, which is the number of the confer- ence). This sentence, which is the English title of the book Gräv där du står (1978) by the Swedish author Sven Lindqvist, stresses the importance of knowing the historical path that brought us to the present. As we explained in the Introduction of the Proceedings of ICHME-3 we deem that “Dig where you stand” may be a suitable motto for those (historians, educators, teachers, educationalists) who wish to sensitively and deeply understand the teaching and learning of mathematics. The editors: Kristín Bjarnadóttir, Fulvia Furinghetti, Marta Menghini, Johan Prytz, Gert Schubring Preface The volume of the Fourth International Conference on the History of Mathemat- ics Education (ICHME4) shows the international and scientific relevance that this topic has reached in the community of mathematics educators. Just over a decade has passed since July 2004, when in Copenhagen, at ICME 10, the Topic Study Group 29 about The History of Learning and Teaching Mathematics proved that
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