Christian Mercat
Présentation
Professeur de didactique des mathématiques à l'université Claude Bernard Lyon 1 au laboratoire S2HEP (ER 4148), formateur d'enseignants à l'Institut Supérieure du Professorat et de l'Éducation (INSPE) de Lyon et directeur adjoint de l'Institut de Recherche sur l'Enseignement des Mathématiques (IREM) de Lyon. L’Institut de recherche sur l’enseignement des mathématiques (IREM) de Lyon est un lieu privilégié de rencontre et d’échanges pour tous les chercheurs et enseignants de l’académie de Lyon, sur les questions relevant de l’enseignement et la diffusion des mathématiques, de la maternelle à l’université. Il y a vingt-huit IREM en France, un par académie, qui sont organisés en réseau. Ils ont été créés en 1969 avec les missions suivantes concernant les mathématiques et leur enseignement : Au plan individuel, l’IREM permet à chacun de ses membres de prendre du recul sur ses pratiques d’enseignant : poser ses questions, partager son expérience avec des collègues d’horizons variés, sur tous les aspects du métier ; s’informer sur les nouveautés : technologiques (logiciels, tableau blanc interactif, tablettes...), pédagogiques (socle commun, proba-stat au lycée...) ; recevoir une formation par la recherche, et de la visibilité pour son travail (publication, animation de stages, etc.).![]()
Directions
Projets en cours
Projets terminés
Parcours
Formation
Publications
Publications
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MODELIZACIÓN MATEMÁTICA COMO ESTRATEGIA DIDÁCTICA EN INGENIERÍA: UN ANÁLISIS BIBLIOGRÁFICO MATHEMATICAL MODELING AS A DIDACTIC STRATEGY IN ENGINEERING: A BIBLIOGRAPHIC ANALYSISLII Conferencia Nacional de Ingeniería (CNI2025), Asociación Nacional de Facultades y Escuelas de Ingeniería (ANFEI), Jun 2025, Chihuahua, México |
O ENSINO E A APRENDIZAGEM NA DISCIPLINA DE CÁLCULO DIFERENCIAL E INTEGRAL NO CURSO DE ENGENHARIA: AS VERSÕES FRANCESA E BRASILEIRABrasilian Congress of Engineering Education, Universidade Federal do Espírito Santo, Sep 2024, Vitória (Espírito Santo), Brazil. ⟨10.37702/2175-957X.COBENGE.2024.5078⟩ |
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A DISCIPLINA DE CÁLCULO DIFERENCIAL E INTEGRAL NO CURSO DE ENGENHARIA SOB A ÓTICA FRANCESA: A REALIDADE OBSERVADA NA UNIVERSITÉ CLAUDE BERNARD LYON 151è COBENGE Congresso Brasileiro de Educação en Engenharia, Sep 2023, Rio de Janeiro, Brazil. ⟨10.37702/2175-957X.COBENGE.2023.4300⟩ |
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Des mathématiques situées et à l’air libre avec MathCityMap48è COPIRELEM, INSPÉ Toulouse Occitanie-Pyrénées; COPIRELEM, Jun 2022, Toulouse, France |
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Arts and Mathematics: Knots and Links14th International Congress on Mathematical Education (ICME-14), Jul 2021, Shanghai, China |
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Projet d'étude des ateliers récréatifs à l'aide de l'analyse des interactionsEspace Mathématique Francophone EMF 2022, Dec 2022, Cotonou, Bénin |
Man is the Measure of all Things - Math Trails in LyonResearch on Outdoor STEM Education in the digiTal Age (ROSETA), Jun 2020, Porto, Portugal. pp.127-138, ⟨10.37626/GA9783959871440.0.16⟩ |
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Big events in Mathematics using math trailsEleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands |
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Teaching Locus at Undergraduate Level: A Creativity Approach13th International Conference on Technology in Mathematics Teaching (ICTMT 13,), Jul 2017, Lyon, France |
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Factors Impacting on the Collaborative Design of Digital Resources10th Congress of the European Society for Research in Mathematics Education (CERME 10), Feb 2017, Dublin, Ireland. pp.3674-3682 |
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Kinesthetic Promotion of Function Graph Recognition at University LevelInternational Congress on Mathematical Education (ICME-13), Jul 2016, Hambourg, Germany. pp.24 - 31, ⟨10.13140/rg.2.1.1696.1527⟩ |
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MetaMath and MathGeAr Projects: Students' Perceptions of Mathematics in Engineering CoursesFirst conference of International Network for Didactic Research in University Mathematics, Mar 2016, Montpellier, France |
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Students' Perceptions of Mathematics in Engineering Courses from Partners of MetaMath and MathGeAr Projects44th SEFI Annual Conference, Sep 2016, Tampere, Finland |
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The Effectiveness of Kinesthetic Approach in Developing Mathematical Function Graphs Recognition and Understanding at University LevelCADGME Sixth Central and Eastern European Conference on Computer Algebra and Dynamic Geometry Systems in Mathematics Education, 7-10 September, 2016, Targu Mures, Romania, Sep 2016, Targu Mures, Romania |
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Assigned to creativity: didactical contract negotiation and technology9th Congress of European Research in Mathematics Education, erme Nad'a Vondrová, Jarmila Novotná, Feb 2015, Prague, Czech Republic |
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La diffusion: un lieu pour une mathématique plus humaine?Espace Mathématique Francophone 2015, Rachid Bebbouchi, USTHB, Oct 2015, Alger, Algérie |
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Assigned to creativity: Didactical contract negotiation and technologyCERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.996-1002 |
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Multigrid Convergent Curvature EstimatorDGCI 2013 - 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Mar 2013, Séville, Spain. pp.395-406, ⟨10.1007/978-3-642-37067-0_34⟩ |
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Quelle modélisation didactique de la vulgarisation des mathématiques?Enseignement des mathématiques et contrat social, Enjeux et défis pour le 21ème siècle, Feb 2012, Genève, Suisse. pp.1914-1925, ISBN 978 - 2 - 8399 - 1115 - 3 |
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Smooth 2D Coordinate Systems on Discrete Surfaces14th International Workshop on Combinatorial Image Analysis, Apr 2011, Nancy, France. pp.59-70, ⟨10.1007/978-3-642-19867-0_5⟩ |
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Simple and flexible mesh parameterization method14th International Workshop on Combinatorial Image Analysis, May 2011, Madrid, Spain. pp.157-167 |
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Adaptive Discrete Laplace OperatorISVC 2011 - 7th International Symposium on Visual Computing, Sep 2011, Las Vegas, United States. pp.377-386 |
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I2GEO.NETSeventh Congress of the European Society for Research in Mathematics Education, Feb 2011, Rzeszow, Poland. pp.2986-2987 |
i2geo.net - a platform for sharing dynamic geometry resources all over EuropeCERME 7, Seventh congress of the European Society for Research in Mathematics Education, Feb 2011, Rzeszow, Poland. pp.2986-2987 |
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Curvature Estimation for Discrete Curves based on Auto-adaptive Masks of ConvolutionCompIMAGE, May 2010, Buffalo-Niagara, United States. pp.47-59, ⟨10.1007/978-3-642-12712-0_5⟩ |
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A Library of OpenGL-Based Mathematical Image FiltersThird International Congress on Mathematical Software, Sep 2010, Kobe, Japan. pp.174-185, ⟨10.1007/978-3-642-15582-6_33⟩ |
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INTEROPERABLE INTERACTIVE GEOMETRY FOR EUROPE - FIRST TECHNOLOGICAL AND EDUCATIONAL RESULTS AND FUTURE CHALLENGES OF THE INTERGEO PROJECTCERME 6 - Sixth Conference of European Research in Mathematics Education, Jan 2009, Lyon, France |
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Using the Intergeo Platform for Teaching and ResearchThe Ninth International Conference on Technology in Mathematics Teaching (ICTMT 9), Jul 2009, Metz, France |
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Intergeo: Interoperable Interactive Geometry for EuropeThe 3rd International Conference on Virtual Learning, Oct 2008, Constanta, Romania. pp.ISSN 1841-9844; ISSN 1841-9836 |
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Discrete Complex Structure on Surfel Surfaces14th IAPR International Conference on Discrete Geometry for Computer Imagery, Apr 2008, Lyon, France. pp.153-164, ⟨10.1007/978-3-540-79126-3⟩ |
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Discrete Riemann surfaces, linear and non-linearDiscrete Differential Geometry, Mar 2006, Oberwolfach, Germany. pp.653--727, ⟨10.4171/OWR/2015/13⟩ |
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Digital Resources to Enhance Creative Mathematical Thinking in a Biomathematics ContextCADGME 2016, Sep 2016, Târgu Mureş, Romania. , Sixth Central- and Eastern European Conference on Computer Algebra- and Dynamic Geometry Systems in Mathematics Education, 7-10 September, 2016 Târgu Mureş, Romania 2016 |
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MetaMath and MathGeAr Projects: Students' Perceptions of Mathematics in Engineering EducationE. Nardi, C. Winsløw & T. Hausberger. INDRUM 2016, Mar 2016, Montpellier, France. , pp. 527-528, 2016, Proceedings of the First Conference of the International Network for Didactic Research in University Mathematics |
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Modern Mathematics Education for Engineering Curricula in EuropeSpringer International Publishing, 2018, 978-3-319-71416-5. ⟨10.1007/978-3-319-71416-5⟩ |
Mathématiques, term. SNathan Prépamath, 5, 1998, Les interros des lycées, 978-2-09-182194-8 |
Transitions Toward Digital Resources: Change, Invariance, and OrchestrationThe 'Resource' Approach to Mathematics Education, Springer International Publishing, pp.389-444, 2019, Advances in Mathematics Education, ⟨10.1007/978-3-030-20393-1_12⟩ |
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Design and Evaluation of Digital Resources for the Development of Creative Mathematical Thinking: A Case of Teaching the Concept of LocusTechnology in Mathematics Teaching: Selected papers of the 13th ICTMT Conference, pp.145-172, 2019, ⟨10.1007/978-3-030-19741-4_7⟩ |
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De beaux entrelacsAurélien Alvarez. Destination géométrie et topologie avec Thurston, Le Pommier, pp.15-26, 2013, Voyages en mathématiques, 978-2-7465-0708 |
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Conception collaborative de documents pédagogiquesConférences du Master interculturel en innovation éducative PREFALC - INSA de Lyon (France) - UTFPR (Brésil) - BUAP (Mexique), Éditions Universitaires Européennes, pp.59-76, 2013, 978-613-1-59541-7 |
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Discrete Riemann SurfacesAthanase Papadopoulos. Handbook of Teichmüller theory. Vol. I, Eur. Math. Soc., Zürich, pp.541--575, 2007, IRMA Lect. Math. Theor. Phys., 11, 978-3-03719-029-6. ⟨10.4171/029⟩ |
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Integrable Boundaries and Universal TBA Functional EquationsKashiwara M.; Miwa T. MathPhys Odyssey 2001, 23, Birkhäuser, pp.391-413, 2002, Progress in Mathematical Physics, 978-1-4612-6605-1. ⟨10.1007/978-1-4612-0087-1_14⟩ |
La planète mathématique2014, pp.1-2 |
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Conformal Structures and Period Matrices of Polyhedral Surfaces2007 |
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Discrete Polynomials and Discrete Holomorphic Approximation2002 |
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Discrete period matrices and related topics2002 |
Guidelines for external testing, The Intergeo Consortium, Deliverable N◦: D6.2[Research Report] European community. 2010 |
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Holomorphie discrète et modèle d'IsingMathématiques [math]. Université Louis Pasteur - Strasbourg I, 1998. Français. ⟨NNT : 1998STR13063⟩ |
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Discrete Complex AnalysisMathematics [math]. Université Montpellier II - Sciences et Techniques du Languedoc, 2009 |
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Fondements des mathématiques IILicence. Fondements des mathématiques II, Lyon, France. 2021, pp.128 |