History and Pedagogy of Mathematics: july 1-5 2024, Sydney, Australia. Proceedings of the 2024 ICME Satellite Meeting.

(Actes du colloque HPM satellite de ICME 2024.)

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Résumé

Sommaire :
Snezana Lawrence, Evelyne Barbin et Luis Puig : Présentation

Thème 1 : Cadres théoriques et/ou conceptuels pour intégrer l’histoire des mathématiques dans leur enseignement
Conférence plénière
- David Guillemette : Une perspective éthique sur l’histoire des mathématiques dans l’enseignement des mathématiques
Présentations orales
- Evelyne Barbin : Symboles et diagrammes : la visualisation dans l'histoire des mathématiques et leur enseignement
- Tinne Hoff Kjeldsen et Uffe Thomas Jankvist : Arguments pour l'introduction de l'histoire des mathématiques dans leur enseignement : une discussion constructive et conceptuelle
- Jorge Soto-Andrade, Dandan Sun et Silu Liu : Un entrelacement d'histoire, d'épistémologie, de mathématiques et de didactique
Résumés
- James Franklin : Applied mathematics first, pure second
- René Guitart : Learning probabilities by problems and paradoxes: the organization of Joseph Bertrand's textbook (1889)

Thème 2 : Histoire et épistémologie des mathématiques dans la formation des étudiants et des enseignants : programmes, cours, manuels, et les outils de toutes sortes - leurs objectifs, conception, expérimentation et évaluation
Conférences plénières
- Aline Bernardes : History in teachers mathematics education. Problematising concepts, views on mathematics, its learning and teaching
Groupe de travail
- Pietro Milici, Cinzia Cerroni, Benedetto Di Paola et Anna Ruggeri : Calculus with history-based manipulatives: problematizing the tractrix
Présentations orales
- Hanna Haydar et Burcu Durmaz : Educators navigating the intersection of elementary mathematics, storytelling, identity, and history: Illustrations from the Islamic context
- Francesca Neri Machiaverna et Ana Millan Gasca : Expérimentation d'un parcours d'apprentissage sur l'histoire des mathématiques à l'école primaire (du CP au CM2) : résultats d'apprentissage en mathématiques et impact sur l'épanouissement humain des élèves
Résumés
- Silvia Benvenuti : The mental telescope: the non-Euclidean geometry case study
- Jean-Michel Delire : How to construct and use instruments with the pupils, so that they appreciate what mathematics are for. Description of two projects (2021-22 and 2023-24) in a Brussels secondary active school
- Cecil Ekici : Elementarisation of mathematics for undergraduates by integrating historical stances with trigonometric functions towards Fourier methods
- Hélder Pinto et Helmuth Manolek : The importance of history of mathematics in the classroom (by ChatGPT): a first reflection about the use of ChatGPT in HPM

Thème 3 : Les sources originales dans l'enseignement pour en savoir plus en mathématiques
Conférence plénière
- Clemency Montelle : Historical tangents! Original sources from trigonometry texts throughout history
Présentations orales
- David Guillemette et Adriano Demattè : A dialogue on the educator s way to relate to mathematical historical texts
Des résumés
- Piotr Baaszczyk et Anna Petiurenko : Newton s De Analysi vs Fundamental theorem of calculus
- Kathleen Michelle Clark et Janet Heine Barnett : Transforming instruction in undergraduate mathematics via primary historical sources. Looking to the future, with an eye on the past
- Martin Flashman : Two examples from history: mapping diagrams to visualize relations and functions
- Silu Liu et Renaud Chorlay : Selecting episodes shedding light on the history of the function concept: historical and didactical analyses of a lesson-study in grade 10

Thème 4 : Les mathématiques et leur rapport à la science, la technologie, et aux arts : problèmes historiques et aspects culturels en relation avec un enseignement interdisciplinaire
Conférence plénière
- Helena Durnova : The constructive and destructive roles of calculators in mathematics education
Présentation orale
- Hélder Pinto et Helmuth Manolek : The proofs of Euclid on GeoGebra, a step-by-step visualization

Thème 5 : Cultures et histoire des mathématiques fructueusement entremêlées
Conférences plénières
- Kay Owens, Vagi Bino et Charly Muke : Passé, présent et futur : le fructueux entrelacement des mathématiques
Présentations orales
- Claire Poh : Cultural perspectives on multiplicative thinking in mathematics
Des résumés
- Rainer Kaenders : How can the history of the existence of fourth proportionals from Eudoxos via Omar Khayyam and Nasir al-Din al-Tusi to Isaac Newton foster a modern mathematical number concept?
- Hanna Nadim et Burcu Durmaz : Teaching mathematizing through stories from the history of mathematics: promoting culturally responsive and sustainable mathematics education
- Jia-Ming Ying, Chia-Jui Hsieh et Lin-chieh Tsai : Influences of a liberal-art course about East-Asian mathematical culture on university students mathematics beliefs

Thème 6 : Des thèmes dans l'histoire de l'enseignement
Conférences plénières
- Ysette Weiss : La globalisation du point de vue de l'enseignement des mathématiques
Présentations orales
- Dirk De Bock et Wendy Goemans : Wiskunde Post, un magazine pour étudiants qui défend le mouvement des mathématiques modernes dans les Flandres
- Agathe Rolland et Renaud Chorlay : Les attentes concernant les futurs enseignants de la théorie des groupes : un essai de survol historique
- Noriko Tanaka : How to learn Japanese mathematics WASAN in the Edo period (1603-1868)
- Zhu Yixuan et Wang Xiaoqin : Les concepts de courbe et d'équation, dans les premiers manuels d'Angleterre et d'Amérique sur la géométrie analytique
Poster
- Maria José Madrid, Carmen Leon-Mantero et José Carlos Casas-Rosal : Exploration de l'enseignement de la géométrie aux enfants dans les documents éducatifs en Espagne au 19e siècle : le cas de Carlitos (12 ans) enseignant à ses amis
Résumés
- Carmen Leon-Mantero, José Carlos Casas-Rosal et Maria José Madrid : Le calcul infinitésimal dans les ouvrages publiés en Espagne avant son incorporation dans le programme du secondaire
- Jesper Lützen : L'enseignement par Hjelmslev de sa géométrie de la réalité
- François Plantade : Jules Houël (1823-1886) : de l'enseignement de la géométrie au Lycée à la résolution de la question de l'indépendance du postulat d'Euclide en France
- Luis Puig : Les erreurs en relation avec le négatif dans la résolution des équations quadratiques. Un épisode dans l'histoire de l'algèbre et de son enseignement

Thème 7 : L'histoire des mathématiques en Australie et dans l'indopacifique
Conférences plénières
- Lesley Ward : Du mariage interdit à la bourse Hypatia : les femmes qui travaillent en mathématiques dans les universités australiennes
Présentation orale
- Kay Owens, Vagi Bino et Charly Muke : The development of neocolonialism in Papua New Guinea and its impact in mathematics education
Résumés
- Malgorzata Marciniak : Seeing the development of mathematics education in the light of Khun's theory of scientific revolutions
Table ronde
- Evelyne Barbin, Michael N. Fried, Hélder,Pinto et Leo Rogers : The HPM group: past, present and future

Abstract

Summary:
Presentation

Theme 1: Theoretical and/or conceptual frameworks for integrating history in mathematics education
Plenary talk
- David Guillemette: An ethical perspective on the history of mathematics in mathematics education
Oral Presentations
- Evelyne Barbin: Signs and diagrams: on visualization in history of mathematics and in teaching
- Tinne Hoff Kjeldsen and Uffe Thomas Jankvist: Arguments for history of mathematics in general mathematics education research: A constructive and critical discussion
- Jorge Soto-Andrade, Dandan Sun and LIU Silu : An intertwining of history, epistemology, mathematics and didactics
Abstracts
- James Franklin: Applied mathematics first, pure second
- René Guitart: Learning probabilities by problems and paradoxes: the organization of Joseph Bertrand's textbook (1889)

Theme 2: History and epistemology in students and teachers mathematics education: classroom experiments and teaching materials
Plenary talk
- Aline Bernardes: History in teachers mathematics education. Problematising concepts, views on mathematics, its learning and teaching
Workshop
- Pietro Milici, Cinzia Cerroni, Benedetto Di Paola and Anna Ruggeri: Calculus with history-based manipulatives: problematizing the tractrix
Oral Presentations
- Hanna Haydar and Burcu Durmaz: Educators navigating the intersection of elementary mathematics, storytelling, identity, and history: Illustrations from the Islamic context
- Francesca Neri Machiaverna and Ana Millan Gasca : An experimentation of a learning path on history of mathematics in primary school (Grades 1-5): learning outcomes in mathematics and impact on pupil's human flourishing
Abstracts
- Silvia Benvenuti: The mental telescope: the non-Euclidean geometry case study
- Jean-Michel Delire: How to construct and use instruments with the pupils, so that they appreciate what mathematics are for. Description of two projects (2021-22 and 2023-24) in a Brussels secondary active school
- Cecil Ekici: Elementarisation of mathematics for undergraduates by integrating historical stances with trigonometric functions towards Fourier methods
- Hélder Pinto and Helmuth Manolek : The importance of history of mathematics in the classroom (by ChatGPT): a first reflection about the use of ChatGPT in HPM

Theme 3: Original sources in the classroom and their educational effects
Plenary talk
- Clemency Montelle: Historical tangents! Original sources from trigonometry texts throughout history
Oral Presentation
- David Guillemette and Adriano Demattè: A dialogue on the educator's way to relate to mathematical historical texts
Abstracts
- Piotr Baaszczyk and Anna Petiurenko: Newton s De Analysi vs Fundamental theorem of calculus
- Kathleen Michelle Clark and Janet Heine Barnett: Transforming instruction in undergraduate mathematics via primary historical sources. Looking to the future, with an eye on the past
- Martin Flashman: Two examples from history: mapping diagrams to visualize relations and functions
- Silu Liu and Renaud Chorlay : Selecting episodes shedding light on the history of the function concept: historical and didactical analyses of a lesson-study in grade 10

Theme 4: Mathematics and its relation to science, technology, and the arts: historical issues and interdisciplinary teaching and learning
Plenary talk
- Helena Durnova: The constructive and destructive roles of calculators in mathematics education
Oral Presentation
- Hélder Pinto and Helmuth Manolek: The proofs of Euclid on GeoGebra, a step-by-step visualization

Theme 5: Cultures and history of mathematics fruit-fully interwoven
Plenary talk
- Kay Owens, Vagi Bino and Charly Muke: Past, present and future: The fruitful interweaving of cultural mathematics
Oral Presentation
- Claire Poh: Cultural perspectives on multiplicative thinking in mathematics
Abstracts
- Rainer Kaenders: How can the history of the existence of fourth proportionals from Eudoxos via Omar Khayyam and Nasir al-Din al-Tusi to Isaac Newton foster a modern mathematical number concept?
- Hanna Nadim and Burcu Durmaz: Teaching mathematizing through stories from the history of mathematics: promoting culturally responsive and sustainable mathematics education
- Jia-Ming Ying, Chia-Jui Hsieh and Lin-chieh Tsai: Influences of a liberal-art course about East-Asian mathematical culture on university students mathematics beliefs

Theme 6: Topics in the history of mathematics education
Plenary talk
- Ysette Weiss: Globalisation through the lens of history of mathematics education
Oral Presentations
- Dirk De Bock and Wendy Goemans: Wiskunde Post, a mathematical magazine for students supporting the modern mathematics movement in Flanders
- Agathe Rolland and Renaud Chorlay: Expectations regarding French prospective teacher's knowledge in group theory: A (tentative) historical survey.
- Noriko Tanaka: How to learn Japanese mathematics WASAN in the Edo period (1603-1868)
- Zhu Yixuan and Wang Xiaoqin: The concepts of curves and equations in early American and British textbooks on analytic geometry
Poster
- Maria José Madrid, Carmen Leon-Mantero and José Carlos Casas-Rosal: Exploring the teaching of geometry for children in 19th-century Spanish educational press: the case of 12-year-old Carlitos teaching his friends
Abstracts
- Carmen Leon-Mantero, José Carlos Casas-Rosal and Maria José Madrid: The infinitesimal calculus in textbooks published in Spain before its incorporation into the curriculum of secondary education
- Jesper LĂĽtzen: Hjelmslev's teaching of his geometry of reality
- François Plantade: Jules Houël (1823-1886): from teaching geometry in high-schools to resolving the question of the independence of Euclid's postulate in France
- Luis Puig: Errors dealing with the negative in solving quadratic equations. An episode in the history of algebra and its teaching

Theme 7: History of mathematics in australia and the indo-pacific
Plenary talk
- Lesley Ward: From the marriage bar to the Hypatia scholarship: women working in mathematics in Australian universities
Oral Presentation
- Kay Owens, Vagi Bino and Charly Muke: The development of neocolonialism in Papua New Guinea and its impact in mathematics education
Abstracts
- Malgorzata Marciniak: Seeing the development of mathematics education in the light of Khun's theory of scientific revolutions
PANEL DISCUSSION
- Evelyne Barbin, Michael N. Fried, Hélder,Pinto and Leo Rogers: The HPM group: past, present and future

Données de publication

Éditeur International Group on Relations between History and Pedagogy of Mathematics Sydney , France , 2024
History and Pedagogy of Mathematics, 11, Sidney, Australie 2024

Public visé chercheur, enseignant, formateur

Type actes de colloques, de congrès, de séminaire Langue anglais

Classification