{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T18:31:12Z","timestamp":1766082672234,"version":"3.48.0"},"reference-count":31,"publisher":"Universidad de Costa Rica","issue":"1","license":[{"start":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T00:00:00Z","timestamp":1765929600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Act. Inv. en Educ."],"abstract":"<jats:p>The Modern Mathematics (MM) reform took place between the 1950s and 1970s across much of the world and was associated with a profound change in content, as well as an alteration in teaching methodologies and the language of school mathematics. This essay investigates the modernization of mathematics education in Portugal during the period 1957\u20131967, aiming to identify international influences on the intentions behind the renewal of mathematics teaching; to detect similarities in the context of the introduction of Modern Mathematics in Portugal, the United States, and Europe; and to determine the contribution of the OECD to the introduction of MM. The text begins with a contextualization of the origins of the Modern Mathematics reform in Europe and the United States, and of the Portuguese political-educational reality, including international intervention. We then discuss the origins of the modernization of mathematics teaching in Portugal, based on the following questions: What were the initial intentions and purposes? What was the contribution of the international context? What similarities can we find between the introduction of MM in Portugal and other countries? Our analysis revealed that there was an internal reflection of international movements and transformations regarding mathematics education. The intentions to renew mathematics teaching sought a closer alignment between secondary and higher education mathematics, anchored in the role that mathematics was called upon to play in science, technology, industry, among others. Portuguese reformers thus adopted the arguments used by American reformers to justify the need for a new mathematics. The knowledge circulating in Portugal about the new ideas was aligned with the modern vision of mathematics education promoted by the European reform movement. OECD\u2019s support for the modernization of education was legitimized by its urgency, particularly regarding the updating of teachers in terms of content and pedagogical aspects. The text is based on a documentary analysis of a descriptive and interpretative nature, with a historical perspective. We have used documentation published in specialized journals, archival materials, participant testimonies, and articles published in the press.<\/jats:p>","DOI":"10.15517\/w40ew282","type":"journal-article","created":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T18:28:37Z","timestamp":1766082517000},"page":"1-21","source":"Crossref","is-referenced-by-count":0,"title":["As ra\u00edzes da moderniza\u00e7\u00e3o do ensino da matem\u00e1tica nos liceus em Portugal (1957-1967)","The roots of mathematics teaching modernization in Portuguese liceus (1957-1967)","Las ra\u00edces de la modernizaci\u00f3n de la ense\u00f1anza de la matem\u00e1tica en los liceos portugueses (1957-1967)"],"prefix":"10.15517","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1532-832X","authenticated-orcid":false,"given":"M\u00e1ria","family":"Almeida","sequence":"first","affiliation":[]}],"member":"6251","published-online":{"date-parts":[[2025,12,17]]},"reference":[{"key":"136881","unstructured":"Almeida, M\u00e1ria Cristina. (2013). Um olhar sobre o ensino da Matema\u0301tica, guiado por Anto\u0301nio Augusto Lopes [Tese de doutoramento]. Universidade Nova de Lisboa."},{"key":"136882","unstructured":"Almeida, M\u00e1ria Cristina., Matos, Jos\u00e9 Manuel., e Almeida, Ant\u00f3nio Jos\u00e9. (2022). Transcri\u00e7\u00e3o das not\u00edcias sobre matem\u00e1tica moderna publicadas nos jornais di\u00e1rios de Lisboa. APM e UIED. https:\/\/www.apm.pt\/files\/files\/Ebooks\/Noticias_MM\/Noticias_MM.pdf"},{"key":"136883","unstructured":"Alves, Adelino Duarte. (1968). A\u0300s portas de um mundo novo. Amanha\u0303 a Matema\u0301tica \u201ccomanda\u201d a humanidade. Dia\u0301rio de Noti\u0301cias, 23\/1\/1968, 1, 5."},{"key":"136884","doi-asserted-by":"crossref","unstructured":"Ball, Deborah Loewenberg., Thames, Mark Hoover., e Phelps, Geoffrey. (2008). Content knowledge for teaching: what makes it special? Journal of Teacher Education, 59, 389\u2013407.","DOI":"10.1177\/0022487108324554"},{"key":"136885","unstructured":"Calado, Jos\u00e9. (1958). Sobre o Ensino das Matema\u0301ticas Elementares. Palestra, Revista de Pedagogia e Cultura, 1, 89-105."},{"key":"136886","unstructured":"Certeau, Michel de. (1982). A escrita da hist\u00f3ria. Forense Universit\u00e1ria."},{"key":"136887","unstructured":"Chervel, Andr\u00e9 (1990). Hist\u00f3ria das disciplinas escolares: reflex\u00f5es sobre um campo de pesquisa. Teoria e Educa\u00e7\u00e3o. Porto Alegre, Pannonica, n.\u00ba 2, 177-229."},{"key":"136888","unstructured":"Continua em exerci\u0301cio no actual ano lectivo a Comissa\u0303o... . (1966). O Se\u0301culo, 28\/1\/1966, 9."},{"key":"136889","unstructured":"D\u2019Ambr\u00f3sio, Ubiratan. (2009). Educa\u00e7\u00e3o Matem\u00e1tica. Da teoria \u00e0 pr\u00e1tica (17a. ed.). Papirus Editora."},{"key":"136890","doi-asserted-by":"crossref","unstructured":"De Bock, Dirk (2023a). Modern Mathematics: An International Movement Diversely Shaped in National Contexts. In Dirk De Bock (Ed.), Modern Mathematics. An International Movement? (pp. 1-12). Springer.","DOI":"10.1007\/978-3-031-11166-2_1"},{"key":"136891","doi-asserted-by":"crossref","unstructured":"De Bock, Dirk (2023b). The Early Roots of the European Modern Mathematics Movement: How a Model for the Science of Mathematics Became a Model for Mathematics Education. In Dirk De Bock (Ed.), Modern Mathematics. An International Movement? (pp. 37-54). Springer.","DOI":"10.1007\/978-3-031-11166-2_3"},{"key":"136892","unstructured":"Despacho do Ministro da Educa\u00e7\u00e3o Nacional. (1963). Dia\u0301rio do Governo, II.\u00aa Se\u0301rie (176, 27\/7\/1963), 5265\u20135266."},{"key":"136893","unstructured":"Enquanto o homem caminha para a Lua... (2). (1966). Dia\u0301rio de Lisboa, 30\/7\/1966, 1, 11."},{"key":"136894","unstructured":"Estrada, Maria Fernanda. (1960). \u00abA axiomatiza\u00e7\u00e3o da Geometria\u00bb. Breves considera\u00e7\u00f5es sobre o uso dos axiomas de Hilbert no 2.\u00ba ciclo dos Liceus. Labor, Revista de Ensino Liceal, 24(194), 541-566."},{"key":"136895","unstructured":"Fehr, H. F. (Ed.) (1964). Math\u00e9matiques modernes. Guide pour enseignants, Session d'\u00c9tude International sur les Nouvelles Methodes d'Enseignement des Math\u00e9matiques \u2014 Ath\u00e9nes \u2014 1963. OCDE."},{"key":"136896","unstructured":"Guimar\u00e3es, Henrique. (2007). Por uma Matem\u00e1tica nova nas escolas secund\u00e1rias. Perspectivas e orienta\u00e7\u00f5es curriculares da Matem\u00e1tica Moderna. In J. M. Matos e W. R. Valente, (Eds.), A Matem\u00e1tica Moderna nas escolas do Brasil e de Portugal: primeiros estudos (pp. 21-45). S\u00e3o Paulo: Da Vinci \/Capes-Grices. Zapt Editora"},{"key":"136897","unstructured":"Leote, Jaime. (1958). Tende\u0302ncias Actuais do Ensino da Geometria. Palestra, Revista de Pedagogia e Cultura, 1, 37-48."},{"key":"136898","doi-asserted-by":"crossref","unstructured":"Matos, Jos\u00e9 Manuel., e Almeida, M\u00e1ria Cristina. (2023). The Distinct Facets of Modern Mathematics in Portugal. In Dirck De Bock (Ed.), Modern Mathematics. An International Movement? 169-198. Springer.","DOI":"10.1007\/978-3-031-11166-2_9"},{"key":"136899","unstructured":"Monteiro, Teresa. (2018). Formac\u0327a\u0303o de professores de matema\u0301tica no Liceu Normal de Pedro Nunes (1956\u20131969) [Tese de doutoramento]. Universidade Nova de Lisboa."},{"key":"136900","unstructured":"No\u0301voa, Ant\u00f3nio. (1993). A Imprensa de Educac\u0327a\u0303o e Ensino. Reperto\u0301rio Anali\u0301tico (se\u0301culos XIX\u2013XX). IIE."},{"key":"136901","unstructured":"OECD. (1963). STP(63)37. Committee for Scientific and Technical Personnel. Pilot demonstrations of modern science teaching in secondary schools. Arquivo OCDE."},{"key":"136902","doi-asserted-by":"crossref","unstructured":"Oller-Marc\u00e9n, Antonio. (2022). The transition to modern mathematics in Spanish primary education: The 1965 syllabus. In A. Karp (Ed.), Advances in the history of mathematics education (pp. 171\u2013194). Springer.","DOI":"10.1007\/978-3-030-95235-8_7"},{"key":"136903","unstructured":"Puig Adam, Pedro. (1958). El material did\u00e1ctico matem\u00e1tico actual. Madrid. Inspecci\u00f3n Central de Ense\u00f1anza Media. Ministerio de Educaci\u00f3n Nacional."},{"key":"136904","unstructured":"Revolu\u00e7\u00e3o no ensino (1). (1963). Di\u00e1rio Popular, 6\/3\/1963, 6."},{"key":"136905","doi-asserted-by":"crossref","unstructured":"Roberts, David Lindsay. (2023). The rise of the American New Math movement: How national security anxiety and mathematical modernism disrupted the school curriculum. In Dirk De Bock (Ed.), Modern mathematics. An international movement? (pp. 13\u201335). Springer.","DOI":"10.1007\/978-3-031-11166-2_2"},{"key":"136906","unstructured":"Silva, Jos\u00e9 Sebasti\u00e3o e. (1957). XI reuni\u00e3o da Comiss\u00e3o para o estudo e melhoramento do ensino da Matem\u00e1tica. Gazeta da Matem\u00e1tica 66-67, 30-34."},{"key":"136907","unstructured":"Silva, Jos\u00e9 Sebasti\u00e3o e. (1959). Introdu\u00e7\u00e3o \u00e0 L\u00f3gica Simb\u00f3lica e aos Fundamentos da Matem\u00e1tica. Palestra, Revista de Pedagogia e Cultura, 6 \u2013 Separata, 1-65."},{"key":"136908","unstructured":"Silva, Jos\u00e9 Sebasti\u00e3o e (1964). Guia para a utiliza\u00e7\u00e3o do Comp\u00eandio de Matem\u00e1tica (1.\u00ba volume \u2013 6.\u00ba ano). Minist\u00e9rio da Educa\u00e7\u00e3o."},{"key":"136909","unstructured":"Silva, Jos\u00e9 Sebasti\u00e3o e. (1969). Projecto de Modernizac\u0327a\u0303o do Ensino da Matema\u0301tica no 3.\u00ba Ciclo dos Liceus Portugueses. Arquivo Anto\u0301nio Augusto Lopes, 1, 3."},{"key":"136910","unstructured":"Teodoro, Ant\u00f3nio. (1999). A constru\u00e7\u00e3o social das pol\u00edticas educativas. Estado, educa\u00e7\u00e3o e mudan\u00e7a social no Portugal contempor\u00e2neo [Tese de doutoramento]. Universidade Nova de Lisboa, Faculdade de Ci\u00eancias e Tecnologias."},{"key":"136911","unstructured":"Uma Revolu\u00e7\u00e3o Silenciosa. No limiar da automa\u00e7\u00e3o... . (1966). Di\u00e1rio de Not\u00edcias, 22\/6\/1966; 1, 8."}],"container-title":["Actualidades Investigativas en Educaci\u00f3n"],"original-title":[],"link":[{"URL":"https:\/\/revistas.ucr.ac.cr\/index.php\/raie\/article\/download\/4546\/5503","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/revistas.ucr.ac.cr\/index.php\/raie\/article\/download\/4546\/5503","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T18:28:42Z","timestamp":1766082522000},"score":1,"resource":{"primary":{"URL":"https:\/\/revistas.ucr.ac.cr\/index.php\/raie\/article\/view\/4546"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,17]]},"references-count":31,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025,10,28]]}},"URL":"https:\/\/doi.org\/10.15517\/w40ew282","relation":{},"ISSN":["1409-4703"],"issn-type":[{"value":"1409-4703","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,17]]}}}