Conference Presentations by Christian Mercat
In order to identify mechanisms that can support mediation, this paper analyses the decision maki... more In order to identify mechanisms that can support mediation, this paper analyses the decision making process in a collaborative design of a digital learning resource by two different Communities of Interest (CoI). It focuses especially on the influence of both the CoI context and socio-technical environment. We begin by describing the context of the “M C Squared” European project in the framework of which this research has been carried out, followed by the presentation of the conceptual and technical tools used in this project to ease and document social interactions in the design of innovative learning resources promoting Creative Mathematical Thinking in the users. We focus on two main forces: tools and culture, which supported the collaborative design work between two CoIs.

13th International Conference on Technology in Mathematics Teaching, July 3-6 in Lyon - France
In this paper, we present our experience, while working in the MC Squared project, with the desig... more In this paper, we present our experience, while working in the MC Squared project, with the design of educational digital resources aiming at promoting creative mathematical thinking among undergraduate students. The resources, called “c-books” (c for creative), are produced within an innovative socio-technological environment by a community gathering together, computer scientists and researchers in mathematics and mathematics education. The paper highlights the importance of teaching loci curves at undergraduate level as an introduction to implicit equations. It presents the design choices providing the c-book with affordances to promote creativity in mathematics in terms of personalized non-linear path, constructivist approach, autonomous learning, and meta-cognition based activities, among others.

Cet article rend compte de quelques expérimentations de vulgarisation des mathématiques tentant d... more Cet article rend compte de quelques expérimentations de vulgarisation des mathématiques tentant de mettre en oeuvre certains aspects kinesthésiques, spatiaux, auditifs et visuels peu exploités dans l'enseignement des mathématiques actuel. Des arguments concernant cet enseignement proposent le terrain de la vulgarisation comme plus propice à de telles expérimentations, visant à modifier l'appréhension du public de la mathématique, la plaçant dans une dimension plus globale et humaine, convoquant plusieurs sens. Nous décrivons sommairement les activités « webcam conforme », « rebond », « clochettes de Galilée » et « danser comme une fonction », ainsi que quelques résultats très partiels, et pour tout dire peu concluants, les concernant. Abstract – This article describes some experimentations in popularization of mathematics attempting to bring certain latent humane capabilities into service such as visual, aural, tactile, kinaesthetic and spatial perceptions, which are under exploited in mathematics teaching nowadays. Some arguments are given hinting at the fact that popularization is better suited than teaching for such an endeavour, aiming at changing public view of mathematics, through a more global and humane apprehension involving several senses. We describe shortly the following activities: " conformal webcam " , " bouncing ball " , " Galileo bells " and " dancing like a function " , together with very partial and inconclusive results about them.
In this research, we present the design of digital resources, carried out within the framework of... more In this research, we present the design of digital resources, carried out within the framework of the MC Squared project (http://mc2-project.eu). These resources are the so-called “c-book units” (“c” for creative), which are digital books produced within a socio-technological environment allowing meshing narratives with interconnected, interactive and dynamic digital artefacts (widgets), to enhance Creative Mathematical Thinking. We illustrate the design of a c-book unit within a biomathematics context aimed at enhancing creative mathematical thinking using a wide range of digital widgets.
In this research, we present the design of digital resources, carried out within the framework of... more In this research, we present the design of digital resources, carried out within the framework of the MC Squared project (http://mc2-project.eu). These resources are the so-called “c-book units” (“c” for creative), which are digital books produced within a socio-technological environment allowing meshing narratives with interconnected, interactive and dynamic digital artefacts (widgets), to enhance Creative Mathematical Thinking. We illustrate the design of a c-book unit within a biomathematics context aimed at enhancing creative mathematical thinking using a wide range of digital widgets.
The research work presented in this paper is driven by a unique goal which is promoting students’... more The research work presented in this paper is driven by a unique goal which is promoting students’ recognitions and understanding of mathematical function graphs. Given that some students need to use other senses as a preparation for abstract and symbolic thinking, we developed Augmented Reality kinesthetic digital resources around standard mathematical functions. Aiming at verifying the resources effectiveness in promoting recognition and understanding of mathematical function graphs, an experimental approach with pretest and posttest is considered here.
This research aims at studying engineering students’ perceptions of their mathematics courses. We... more This research aims at studying engineering students’ perceptions of their mathematics courses. We present the methodology of data collection, the main themes that the questionnaire investigates and the results. The population on which we base this study are partners in two Tempus projects, MetaMath in Russia and MathGeAr in Georgia and Armenia.
Pedro Lealdino Filho, Christian Mercat, Mohamed El-Demerdash. MetaMath and MathGeAr Projects: Students’ perceptions of mathematics in engineering courses. In E. Nardi, C. Winsløw & T. Hausberger (Eds.), Proceedings of the First Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2016, 31 March-2 April 2016), (pp. 527-528). Montpellier, France: University of Montpellier.
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Conference Presentations by Christian Mercat
Pedro Lealdino Filho, Christian Mercat, Mohamed El-Demerdash. MetaMath and MathGeAr Projects: Students’ perceptions of mathematics in engineering courses. In E. Nardi, C. Winsløw & T. Hausberger (Eds.), Proceedings of the First Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2016, 31 March-2 April 2016), (pp. 527-528). Montpellier, France: University of Montpellier.