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How Place and Audience Matter: Perspectives on Mathematics Plural Identities from Late 1950s French and English Middle School Textbooks

Published online by Cambridge University Press:  12 January 2017

Catherine Radtka
Catherine Radtka*
Affiliation:
Centre national d'études spatiales. Institut des sciences de la communication CNRS/Paris-Sorbonne, UPMC, France E-mail: catherine.radtka@gmail.com
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Argument

In this paper, I argue that studying school textbooks is a fruitful way to investigate mathematical conceptions in different national contexts. These sources give access to the written production of an extended mathematical milieu whose members write for various audiences. By studying the case of late 1950s French and English textbooks issued for a growing audience of 11- to 15-year-old pupils, I show that a plurality of conceptions was projected at the time onto pupils and their teachers in both national contexts. I link this diversity to contemporaneous debates regarding mathematics teaching and argue that textbooks themselves have to be considered as active agents of such debates.

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Miscellaneous Articles
Information
Science in Context , Volume 29 , Issue 4 , December 2016 , pp. 473 - 521
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Copyright © Cambridge University Press 2017 

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References

About the Collaborative Group for Research in Mathematics Education . 15 December 2010. University of Southampton, UK, http://www.crme.soton.ac.uk/about.html (last accessed 19 January 2016).Google Scholar
Agar, Jon. 1996. Science and Spectacle: The Work of Jodrell Bank in Post-War British Culture. Amsterdam: Harwood Academic Publishers.Google Scholar
Andler, Martin. 1994. “Les mathématiques à l'Ecole normale supérieure au XXe siècle: Une esquisse.” In Ecole normale supérieure. Le livre du bicentenaire, edited by Sirinelli, Jean-François, 351–404. Paris: Puf.Google Scholar
Armatte, Michel. 1991. “Une discipline dans tous ses états: La statistique à travers ses traités (1800-1914).” Revue de synthèse 4 (2):161–206.Google Scholar
Association for Teaching Aids in Mathematics. 1962. Mathematics Teaching 21.Google Scholar
Association for Teaching Aids in Mathematics. 1963. Mathematics Teaching 25.Google Scholar
Atten, Michel. 1996. “La reine mathématique et sa petite sœur.” In Les sciences au lycée: Un siècle de réformes des mathématiques et de la physique en France et à l’étranger, edited by Belhoste, Bruno, Gispert, Hélène, and Hulin, Nicole, 45–54. Paris: INRP/Vuibert.Google Scholar
Barbazo, Éric. 2010. L'association des professeurs de mathématiques de l'enseignement public (A.P.M.E.P): Un acteur politique, scientifique pédagogique de l'enseignement secondaire mathématique du 20e siècle en France. PhD thesis. Paris: EHESS.Google Scholar
Barbazo, Éric, and Pombourcq, Pascale. 2010. Cent ans d'APMEP. Paris: APMEP.Google Scholar
Bédarida, François. [1976]1990. La société anglaise: Du milieu du XIXe siècle à nos jours. Paris: Seuil.Google Scholar
Belhoste, Bruno. 1998. “Pour une réévaluation de l'enseignement dans l'histoire des mathématiques.” Revue d'histoire des mathématiques 4:289–304.Google Scholar
Bertomeu-Sánchez, Jose Ramon, et al., eds. 2006. “Special Issue: Textbooks in the Scientific Periphery.” Science & Education 15 (7-8).Google Scholar
Bottazini, Umberto, and Dalmedico, Amy Dahan, eds. 2001. Changing Images in Mathematics: From the French Revolution to the New Millenium. London and New York: Routledge.Google Scholar
Breakell, John. 2001. “An Analysis of Mathematics Textbooks and Reference Books in Use in Primary and Secondary Schools in England and Wales in the 1960s.” Paradigm 2 (3) http://faculty.education.illinois.edu/westbury/paradigm/, last accessed September 11, 2013.Google Scholar
Brooks, Val. 2008. “The Role of External Examinations in the Making of Secondary Modern Schools in England 1945-65.” History of Education 37 (3):447–467.CrossRefGoogle Scholar
Carsalade, Arnaud, Goichot, François, and Marmier, Anne-Marie. 2013. “Architecture d'une réforme: Les mathématiques modernes.” In Les ouvrages de mathématiques dans l'Histoire: Entre recherche, enseignement et culture, edited by Barbin, Évelyne and Moyon, Marc, 229–244. Limoges: Pulim.Google Scholar
Caspard, Pierre, Luc, Jean-Noël, and Savoie, Philippe, eds. 2005. Lycées, lycéens, lycéennes: Deux siècles d'histoire. Paris: INRP.Google Scholar
Chabert, Jean-Luc, and Gilain, Christian. 2014. “Debating the Place of Mathematics at the école polytechnique around World War I.” In A War of Guns and Mathematics: Mathematical Practices and Communities in France and its Western Allies around World War I, edited by Aubin, David and Goldstein, Catherine, 275–307. Providence: AMS.Google Scholar
Chapoulie, Jean-Michel. 2010. L’école d’État conquiert la France: Deux siècles de politique scolaire. Rennes: Presses Universitaires de Rennes.CrossRefGoogle Scholar
Chartier, Roger. 1989. “Le monde comme représentation.” Annales, Économies, Sociétés, Civilisations 44 (6):1505–1520.CrossRefGoogle Scholar
Chatriot, Alain, Duclert, Vincent, eds. 2006. Le gouvernement de la recherche: Histoire d'un engagement politique, de Pierre Mendès France à Charles de Gaulle (1953–1969). Paris: La Découverte.CrossRefGoogle Scholar
Chopin, Alain. 1980. “L'histoire des manuels scolaires: Une approche globale.” Histoire de l’éducation 9:1–25.CrossRefGoogle Scholar
Choquet, Gustave. 1960. “Modern Mathematics and Teaching.” Mathematics Teaching 14:7–18.Google Scholar
Cooper, Barry. 1985. Renegotiating Secondary School Mathematics: A Study of Curriculum Change and Stability. London, Philadelphia: Falmer Press.Google Scholar
Corry, Leo. 2004. “Introduction: The History of Modern Mathematics – Writing and Rewriting.” Science in Context 17 (1/2):1–21.CrossRefGoogle Scholar
Crémieux-Brilhac, Jean-Louis. 1995. “Le mouvement pour l'expansion de la recherche scientifique, 1954-1968.” Reprint Cahiers pour l'histoire du CNRS, accessible online: http://www.vjf.cnrs.fr/histcnrs/pdf/laugier-crh/mers.pdf, last accessed 9 September 2013.Google Scholar
D'Enfert, Renaud, and Kahn, Pierre, eds. 2010. En attendant la réforme: Disciplines scolaires et politiques éducatives sous la IVe République. Grenoble: Presses universitaires de Grenoble.Google Scholar
D'Enfert, Renaud. 2010. “Mathématiques modernes et méthodes actives: Les ambitions réformatrices des professeurs de mathématiques du secondaire sous la Quatrième République.” In En attendant la réforme: Disciplines scolaires et politiques éducatives sous la IVe République, edited by D'Enfert, Renaud and Kahn, Pierre, 115–130. Grenoble: Presses universitaires de Grenoble.Google Scholar
D'Enfert, Renaud. 2012a. Pour une histoire « par en bas » de l'enseignement des sciences (XIX–XXe siècles): Le cas des mathématiques. Habilitation à diriger des recherches. Orsay: Université Paris-Sud 11.Google Scholar
D'Enfert, Renaud. 2012b. “Doing Math or Learning to Count? Primary School Mathematics Confronting the Democratization of Access to Secondary Education in France, 1945-1985.” In “Dig where you stand” 2: Proceedings of the Second International Conference on the History of Mathematics Education, edited by Bjarnadóttir, Kristín, Furinghetti, Fulvia, Matos, José, and Schubring, Gert, 149–164. Caparica: UEID.Google Scholar
D'Enfert, Renaud. 2012c. “Mathematics Teaching in French écoles normales primaires, 1830-1848: Social and Cultural Challenges to the Training of Primary School Teachers.” ZDM 44 (4):513–524.CrossRefGoogle Scholar
D'Enfert, Renaud. 2015. L'enseignement mathématique à l’école primaire de la Révolution à nos jours, tome 2: 1915–2000, textes officiels réunis et présentés par Renaud d'Enfert, Limoges: Pulim.Google Scholar
Dahan Dalmedico, Amy. 2005. Jacques-Louis Lions, un mathématicien d'exception: Entre recherche, industrie et politique. Paris: La découverte.CrossRefGoogle Scholar
Dowling, Paul. 1996. “A Sociological Analysis of School Mathematics Texts.” Education Studies in Mathematics 31:389–415.CrossRefGoogle Scholar
Dubreil, Paul, ed. 1961. Mathématiques 6e lycées et CEG. Collection Paul Dubreil. Paris: Vuibert.Google Scholar
Dubreil, Paul, ed. 1963. Mathématiques 3e. Collection Paul Dubreil. Paris: Vuibert.Google Scholar
Eco, Umberto. 2010. Lector in fabula: Le rôle du lecteur. Paris: LGF-Le livre de poche [9th ed.].Google Scholar
Edgerton, David. 1996. “The “White Heat” Revisited: British Government and Technology in the 1960s.” Twentieth Century British History 7:53–82.CrossRefGoogle Scholar
Edgerton, David. 1997. “Science in the United Kingdom: A Study in the Nationalization of Science.” In Science in the Twentieth Century, edited by Krige, John and Pestre, Dominique, 759–776. Oxon/New York: Harwood Academic Publishers.Google Scholar
Edgerton, David. 2005a. “C. P. Snow as Anti-Historian of British Science: Revisiting the Technocratic Moment, 1959-1964.” History of Science 43:187–208.CrossRefGoogle Scholar
Edgerton, David. 2005b. “Science and the Nation: Towards New Histories of Twentieth-Century Britain.” Historical Research 78 (199):96–112.CrossRefGoogle Scholar
Ehrhardt, Caroline. 2010. “Histoire sociale des mathématiques.” Revue de synthèse 131 (4):489–493.CrossRefGoogle Scholar
Flammarion, Camille. 1911. “Astronomie.” In Nouveau dictionnaire de pédagogie et d'instruction primaire, edited by Buisson, Ferdinand. Paris: Hachette. Digital edition established by the Institut français de l’éducation: http://www.inrp.fr/edition-electronique/lodel/dictionnaire-ferdinand-buisson/document.php?id=2113, last accessed 19 January 2016.Google Scholar
Fox, Ronald William. 1962a. Certificate Mathematics. Book 1. London: Edward Arnold Publishers.Google Scholar
Fox, Ronald William. 1962b. Certificate Mathematics. Book 2. London: Edward Arnold Publishers.Google Scholar
Gispert, Hélène. 2003. “Applications: Les mathématiques comme discipline de service dans les années 1950-1960.” In One Hundred Years of L'Enseignement Mathématique: Moments of Mathematics Education in the Twentieth Century, edited by Coray, Daniel, Furinghetti, Fulvia, Gispert, Hélène, Hodgson, Bernard R., and Schubring, Gert, 251–270. Genève: L'enseignement mathématique.Google Scholar
Gispert, Hélène. 2009. “Two Mathematic Reforms in the Context of Twentieth Century France: Similarities and Differences.” International Journal for the History of Mathematics Education 4:43–50.Google Scholar
Gispert, Hélène. 2010. “Rénover l'enseignement des mathématiques, la dynamique internationale des années 1950.” In En attendant la réforme: Disciplines scolaires et politiques éducatives sous la IVe République, edited by D'Enfert, Renaud and Kahn, Pierre, 131–143. Grenoble: Presses universitaires de Grenoble.Google Scholar
Gispert, Hélène. 2011. “Devenir professeur à la Sorbonne dans l'entre-deux-guerres, un profil type? Le cas des sciences mathématiques.” In Espaces de l'enseignement scientifique et technique: Acteurs, savoirs, institutions, XVIIe-XXe siècles, edited by D'Enfert, Renaud and Fonteneau, Virginie, 161–173. Paris: Hermann.Google Scholar
Gispert, Hélène. 2015. La France mathématique de la IIIe République avant la Grande Guerre. Paris: Société Mathématique de France.Google Scholar
Gispert, Hélène, and Leloup, Juliette. 2009. “Des patrons des mathématiques en France dans l'entre-deux-guerres.” Revue d'histoire des sciences 62 (1):39–118.CrossRefGoogle Scholar
Gispert, Hélène, and Schubring, Gert. 2011. “Societal, Structural, and Conceptual Changes in Mathematics Teaching: Reform Processes in France and Germany over the Twentieth Century and the International Dynamics.” Science in Context 24 (1):73–106.CrossRefGoogle Scholar
Hachette. 1960. “Catalogue.” In Bibliographie de la France: Supplément «Rentrée des classes». Paris: Cercle de la Librairie, sp.Google Scholar
Haggarty, Linda, and Pepin, Birgit. 2002. “An Investigation of Mathematics Textbooks and Their Use in English, French and German Classrooms: Who Gets an Opportunity to Learn What?” British Educational Research Journal 28 (4):567–590.CrossRefGoogle Scholar
Hecht, Gabrielle. 1998. The Radiance of France: Nuclear Power and National Identity after World War II. Cambridge: MIT Press.Google Scholar
Hémeret, Marcel, and Lermusiaux, Albert. 1958. Mathématiques avec travaux pratiques: Classe de 6e des cours complémentaires. Programmes 1957. Paris: Hachette.Google Scholar
Hémeret, Marcel, and Lermusiaux, Albert. 1960. Mathématiques avec travaux pratiques: Classe de 4e des cours complémentaires. Nouveaux Programmes. Paris: Hachette.Google Scholar
Hodgkinson, S. 1958. “Mathematics with backward boys – an Approach.” Mathematics Teaching 7:10–15.Google Scholar
ICMI. 1955. “Lettre circulaire du bureau de la commission internationale de l'enseignement mathématique aux dirigeants des sous-commissions nationales.” L'Enseignement Mathématique 1:262–265.Google Scholar
James, Edward Joseph. 1954. Modern School Mathematics. Book 1. Oxford: Oxford University Press.Google Scholar
Kress, Günther. 2009. “Semiotic/Pedagogic Change in English Textbooks.” Keynote speech given during the 10th International Conference of the IARTEM, Santiago de Compostela, 3-5 September 2010.Google Scholar
Kupera, Georg. 1955. “Le rôle des mathématiques et du mathématicien à l’époque contemporaine: Rapport présenté le 8 septembre 1954 à Amsterdam au Congrès international des mathématiciens.” L'Enseignement Mathématique 1:93–111.Google Scholar
Krüger, Laurent. 1959. Mathématiques 6e, coll. Théron et Cossart. Paris: Bordas.Google Scholar
Larcan, Alain, ed. 2003. Le Général de Gaulle et la recherche scientifique et technique. Paris: Fondation Charles de Gaulle.Google Scholar
Le Lay, Colette. 2016. “Vie et mort d'un enseignement: La cosmographie.” http://images.math.cnrs.fr/Vie-et-mort-d-un-enseignement-la-cosmographie-1830-1968.html, last accessed 19 January 2016.Google Scholar
Lebeaume, Joël. 2010. “Une discipline nouvelle: Les travaux manuels éducatifs et l'enseignement ménager.” In En attendant la réforme: Disciplines scolaires et politiques éducatives sous la IVe République, edited by D'Enfert, Renaud and Kahn, Pierre, 79–90. Grenoble: Presses universitaires de Grenoble.Google Scholar
Legrand, Pierre. 2002. “Dans la tempête des «maths modernes».” In Deux cents ans d'inspection générale: 1802–2002, edited by Rioux, Jean-Pierre, 287–305. Paris: Fayard.Google Scholar
Lelièvre, Claude.1990. Histoire des Institutions scolaires (1789-1989). Paris: Nathan.Google Scholar
Librairie Armand Colin. 1961. “Catalogue.” In Bibliographie de la France: Supplément « Rentrée des classes. Paris: Cercle de la Librairie.Google Scholar
Maillard, Roland, ed. 1958. Cours R. Maillard: Mathématiques 6e . Paris: Hachette.Google Scholar
Maillard, Roland, ed. 1959. Cours R. Maillard: Mathématiques 5e . Paris: Hachette.Google Scholar
Maillard, Roland, ed. 1960. Cours R. Maillard. Mathématiques 3e . Paris: Hachette.Google Scholar
Mansfield, Donald E., and Thompson, Derek. 1962. Mathematics: A New Approach. Book 1. London: Chatto and Windus.Google Scholar
Mansfield, Donald E., and Thompson, Derek. 1963. Mathematics: A New Approach. Book 2. London: Chatto and Windus.Google Scholar
Mansfield, Donald E., and Thompson, Derek. 1964. Mathematics: A New Approach. Book 3. London: Chatto and Windus.Google Scholar
Mansfield, Donald E., and Bruckheimer, Maxim. 1965. Mathematics: A New Approach. Book 4. London: Chatto and Windus.Google Scholar
Marvillet, Jean, ed. 1958. Cours de Mathématiques J. Marvillet: Initiation aux mathématiques. Classe de 6e des lycées, collèges et cours complémentaires. Paris: Colin.Google Scholar
Mathematical Association. 1949. The Teaching of Mathematics in Secondary Modern Schools: An Interim Report Prepared for the Mathematical Association. London: G. Bell & Sons.Google Scholar
Mathematical Association. 1959. The Teaching of Mathematics in Secondary Modern Schools: A Report Prepared for the Mathematical Association for Consideration by All Concerned in the Teaching of Mathematics in Secondary Schools. London: G. Bell & Sons.Google Scholar
McCulloch, Gary. 1988. “A Technocratic Vision: The Ideology of School Science Reform in Britain in the 1950s”. Social Studies of Science 18 (4):703–724.CrossRefGoogle Scholar
McCulloch, Gary. 1998. Failing the Ordinary Child? The Theory and Practice of Working-class Secondary Education. Buckingham-Philadelphia: Open University Press.Google Scholar
McCulloch, Gary. 2002. “Secondary Education”. In A Century of Education, edited by Aldrich, Richard, 31–53. Oxon: Routledge Falmer.Google Scholar
Ministry of Education. 1958. Teaching Mathematics in Secondary Schools. Pamphlet No. 36. London: HMSO.Google Scholar
Ministry of Education. 1963. Half our Future. A Report of the Central Advisory Council for Education (England), London: HMSO.Google Scholar
Pepin, Birgit, and Haggarty, Linda. 2001. “Mathematics Textbooks and Their Use in English, French and German Classrooms: A Way to Understand Teaching and Learning Cultures.” ZDM 33 (5):158–175.Google Scholar
Petigirard, Loïc. 2004. Le chaos: Des questions théoriques aux enjeux sociaux. PhD thesis. Lyon: Université Lumière Lyon 2.Google Scholar
Phillips, Christopher J. 2014. “In Accordance with a “More Majestic Order”: The New Math and the Nature of Mathematics at Midcentury.” Isis 105 (3):450–563.CrossRefGoogle ScholarPubMed
Phillips, Christopher J. 2015. The New Math: A Political History. Chicago: University of Chicago Press.Google Scholar
Powell, Arthur B. 2007. “Caleb Gattegno (1911–1988): A Famous Mathematics Educator from Africa?” Revista Brasileira de História da Matemática, Especial no1: 199–209. Accessible online: http://andromeda.rutgers.edu/~powellab/docs/articles/Powell%282007%29Gattegno.pdf, last accessed 19 January 2016.Google Scholar
Price, Michael H. 1981. “The Reform of English Mathematical Education in the Late Nineteenth and Early Twentieth Centuries.” PhD thesis. Leicester: University of Leicester.Google Scholar
Price, Michael H. 1994. Mathematics for the Multitude? A History of the Mathematical Association. London: The Mathematical Association.Google Scholar
Prost, Antoine. [1981]2004. Histoire de l'enseignement et de l’éducation, Tome IV: L’école et la Famille dans une société en mutation (depuis 1930). Paris: Perrin.Google Scholar
Radtka, Catherine. 2013. Construire la société scientifique par l’école: Angleterre, France et Pologne au prisme des manuels de sciences pour les élèves ordinaires (1950–2000). PhD Thesis. Paris: EHESS.Google Scholar
Radtka, Catherine. 2015. “Negotiating the Boundaries between Mathematics and Physics: The Case of Late 1950s French Textbooks for Middle Schools.” Science & Education 24 (5-6):725–748.CrossRefGoogle Scholar
Rudolph, John L. 2002. Scientists in the Classroom: The Cold War Reconstruction of American Science Education. New York, NY: Palgrave Macmillan.CrossRefGoogle Scholar
Sarrazy, Bernard. 2003. “Le problème d'arithmétique dans l'enseignement des mathématiques à l’école primaire de 1887 à 1990.” Carrefours de l’éducation 15 (1):82–101.CrossRefGoogle Scholar
Shapin, Steven. 2015. “Figures de scientifiques.” In Histoire des sciences et des savoirs 3: Le siècle des technosciences, edited by Bonneuil, Chistophe and Pestre, Dominique, 27–45. Paris: Seuil.Google Scholar
Shapiro, Adam. 2012. “Between Training and Popularization: Regulating Science Textbooks in Secondary Education.” Isis 103 (1):99–110.CrossRefGoogle ScholarPubMed
Shapiro, Adam. 2013. Trying Biology: The Scopes Trial, Textbooks and the Antievolution Movement in American Schools. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Van Dormolen, Jan. 1986. “Textual Analysis.” In Perspectives on Mathematics Education, edited by Christiansen, Bent, Howson, Geoffrey, and Otte, Michael, 141–172. Dordrecht: D. Reidel.CrossRefGoogle Scholar
Verneuil, Yves. 2005. Les Agrégés: Histoire d'une exception française. Paris: Belin.Google Scholar
Vicedo, Marga. 2012. “Introduction: The Secret Lives of Textbooks.” Isis 103 (1):83–87.CrossRefGoogle ScholarPubMed