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    <title>epiDEMES - Latest Publications</title>
    <description>Latest articles</description>
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    <pubDate>Sun, 08 Mar 2026 21:02:48 +0000</pubDate>
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      <title>Didactique et épistémologie des mathématiques et leurs interactions pour la médiation et l'enseignement supérieur</title>
      <description><![CDATA[This text introduces the first of two volumes following the DEMIMES (Didactics and Epistémology of Mathematics and their Interactions for Mediation and Post-secondary Teaching) thematic school held in Autrans (France) from April 4 to 7, 2022.]]></description>
      <pubDate>Mon, 10 Mar 2025 12:46:41 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-15013</link>
      <guid>https://doi.org/10.46298/epidemes-15013</guid>
      <author>Charlot, Grégoire</author>
      <author>Durand-Guerrier, Viviane</author>
      <author>Gardes, Marie-Line</author>
      <author>Gravier, Sylvain</author>
      <author>Grenier, Denise</author>
      <author>Gueudet, Ghislaine</author>
      <dc:creator>Charlot, Grégoire</dc:creator>
      <dc:creator>Durand-Guerrier, Viviane</dc:creator>
      <dc:creator>Gardes, Marie-Line</dc:creator>
      <dc:creator>Gravier, Sylvain</dc:creator>
      <dc:creator>Grenier, Denise</dc:creator>
      <dc:creator>Gueudet, Ghislaine</dc:creator>
      <content:encoded><![CDATA[This text introduces the first of two volumes following the DEMIMES (Didactics and Epistémology of Mathematics and their Interactions for Mediation and Post-secondary Teaching) thematic school held in Autrans (France) from April 4 to 7, 2022.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Theory of Didactical Situations and proof situations : analysis of two examples</title>
      <description><![CDATA[The framework of the theory of didactical situations is based on "experimental epistemology". It allows us to question mathematics and learning situations. This text will present mathematical and experimental tools derived from this theory for thinking about a typology of situations for didactic use. In particular, it will focus on didactic variables and proof situations. Two examples will illustrate these aspects. From the fields of game theory on the one hand and number theory on the other, these examples will be discussed and revisited: the Race to 20 and the Frobenius problem.]]></description>
      <pubDate>Fri, 20 Dec 2024 07:57:35 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-11533</link>
      <guid>https://doi.org/10.46298/epidemes-11533</guid>
      <author>Ouvrier-Buffet, Cécile</author>
      <dc:creator>Ouvrier-Buffet, Cécile</dc:creator>
      <content:encoded><![CDATA[The framework of the theory of didactical situations is based on "experimental epistemology". It allows us to question mathematics and learning situations. This text will present mathematical and experimental tools derived from this theory for thinking about a typology of situations for didactic use. In particular, it will focus on didactic variables and proof situations. Two examples will illustrate these aspects. From the fields of game theory on the one hand and number theory on the other, these examples will be discussed and revisited: the Race to 20 and the Frobenius problem.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Mechanisms for mathematical modelling: the study and research paths at university level</title>
      <description><![CDATA[This paper addresses the problem of integrating mathematical modelling into first-year mathematics courses at university level. Our research focuses on identifying mechanisms that facilitate the dissemination of mathematical modelling in university mathematics education. Within the framework of the anthropological theory of the didactic (ATD), our work over recent decades has focused on the design, implementation, and analysis of the study and research paths (SRP) as a teaching device persuading a double purpose: making students aware of the rationale of mathematical contents through the experience of modelling activities; and connecting these mathematical contents through a whole modelling process. We draw upon empirical findings from the implementation of an SRP on population dynamics withfirst-year students at university level, and its ‘migration’ to other university settings, to identify valuable mechanisms for integrating mathematical modelling into university institutions. More concretely, we analyse the mechanisms facilitating two central dialectics for the SRP and for modelling: the dialectics of questions and answers and that of media and milieu.]]></description>
      <pubDate>Wed, 18 Dec 2024 13:48:18 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-11477</link>
      <guid>https://doi.org/10.46298/epidemes-11477</guid>
      <author>Barquero, Berta</author>
      <dc:creator>Barquero, Berta</dc:creator>
      <content:encoded><![CDATA[This paper addresses the problem of integrating mathematical modelling into first-year mathematics courses at university level. Our research focuses on identifying mechanisms that facilitate the dissemination of mathematical modelling in university mathematics education. Within the framework of the anthropological theory of the didactic (ATD), our work over recent decades has focused on the design, implementation, and analysis of the study and research paths (SRP) as a teaching device persuading a double purpose: making students aware of the rationale of mathematical contents through the experience of modelling activities; and connecting these mathematical contents through a whole modelling process. We draw upon empirical findings from the implementation of an SRP on population dynamics withfirst-year students at university level, and its ‘migration’ to other university settings, to identify valuable mechanisms for integrating mathematical modelling into university institutions. More concretely, we analyse the mechanisms facilitating two central dialectics for the SRP and for modelling: the dialectics of questions and answers and that of media and milieu.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>L’algorithme : pourquoi et comment le définir pour l'enseigner</title>
      <description><![CDATA[The question of the definition of what is an algorithm is recurrent. It is found in teaching, at different levels and particularly in secondary education because of the recent evolutions in high school, with immediate consequences in higher education. It is found in mediation, with the different meanings that the word “algorithm” is charged with in the media space. It is also found in research, with issues in different branches of computer science, from foundations in computability and complexity to applications in big data. Beyond the issue of definition, it is the raison d’être of the notion of algorithm that should be questioned: what do we want to do with it and what is at stake? It is by trying to specify this that we can identify didactic elements that are likely to help teach the algorithm, in interaction with mathematics or not, and to different audiences.]]></description>
      <pubDate>Tue, 17 Dec 2024 14:50:59 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-11418</link>
      <guid>https://doi.org/10.46298/epidemes-11418</guid>
      <author>Beffara, Emmanuel</author>
      <dc:creator>Beffara, Emmanuel</dc:creator>
      <content:encoded><![CDATA[The question of the definition of what is an algorithm is recurrent. It is found in teaching, at different levels and particularly in secondary education because of the recent evolutions in high school, with immediate consequences in higher education. It is found in mediation, with the different meanings that the word “algorithm” is charged with in the media space. It is also found in research, with issues in different branches of computer science, from foundations in computability and complexity to applications in big data. Beyond the issue of definition, it is the raison d’être of the notion of algorithm that should be questioned: what do we want to do with it and what is at stake? It is by trying to specify this that we can identify didactic elements that are likely to help teach the algorithm, in interaction with mathematics or not, and to different audiences.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Physique en première année d’université : que nous apprend une analyse ancrée en didactique des mathématiques ?</title>
      <description><![CDATA[This text reports on a workshop of the DEMIMES thematic school, the aim of which was to discuss how didactic theories can equip teachers in higher education to analyse exercises and problems texts and anticipate student difficulties. We present an analysis of a first-year university physics problem using theoretical tools from mathematics didactics: the anthropological theory of the didactic and the activity theory specific to didactics. We have chosen a Newtonian mechanics problem concerning the fall of a ball in a liquid, whose mathematical treatment involves vectors and a differential equation. We introduce the theoretical tools used and the problem chosen, then present the analyses, and discuss the contributions of the two theories. The workshop also showed that didactic analyses could shed light on the differences between the mathematics used in mathematics courses and those used in physics courses at university.]]></description>
      <pubDate>Fri, 29 Nov 2024 09:29:16 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-11145</link>
      <guid>https://doi.org/10.46298/epidemes-11145</guid>
      <author>Gueudet, Ghislaine</author>
      <author>Lebrun, Nathalie</author>
      <author>Vandebrouck, Fabrice</author>
      <dc:creator>Gueudet, Ghislaine</dc:creator>
      <dc:creator>Lebrun, Nathalie</dc:creator>
      <dc:creator>Vandebrouck, Fabrice</dc:creator>
      <content:encoded><![CDATA[This text reports on a workshop of the DEMIMES thematic school, the aim of which was to discuss how didactic theories can equip teachers in higher education to analyse exercises and problems texts and anticipate student difficulties. We present an analysis of a first-year university physics problem using theoretical tools from mathematics didactics: the anthropological theory of the didactic and the activity theory specific to didactics. We have chosen a Newtonian mechanics problem concerning the fall of a ball in a liquid, whose mathematical treatment involves vectors and a differential equation. We introduce the theoretical tools used and the problem chosen, then present the analyses, and discuss the contributions of the two theories. The workshop also showed that didactic analyses could shed light on the differences between the mathematics used in mathematics courses and those used in physics courses at university.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Quelques pistes pour l'étude des situations d'informatique débranchée</title>
      <description><![CDATA[Computer science unplugged is a scientific popularization project initiated in the 1990s by a team of New Zealand researchers. It enables participants to discover the major concepts of computer science, without a computer, through physical activies or the use of physical material, and also to initiate them into the computer science research process. This device, which is currently widely considered by both mediators and teachers, requires an in-depth analysis as a tool for transmitting knowledge. This analysis is currently in its beginning. Through three examples of popularization situations in computer science unplugged, we propose lines of thought based on observations with the perspective of a more complete didactic analysis of these situations and their transposition into classrooms.]]></description>
      <pubDate>Fri, 29 Nov 2024 09:18:49 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-11147</link>
      <guid>https://doi.org/10.46298/epidemes-11147</guid>
      <author>Duchene, Eric</author>
      <author>Parreau, Aline</author>
      <dc:creator>Duchene, Eric</dc:creator>
      <dc:creator>Parreau, Aline</dc:creator>
      <content:encoded><![CDATA[Computer science unplugged is a scientific popularization project initiated in the 1990s by a team of New Zealand researchers. It enables participants to discover the major concepts of computer science, without a computer, through physical activies or the use of physical material, and also to initiate them into the computer science research process. This device, which is currently widely considered by both mediators and teachers, requires an in-depth analysis as a tool for transmitting knowledge. This analysis is currently in its beginning. Through three examples of popularization situations in computer science unplugged, we propose lines of thought based on observations with the perspective of a more complete didactic analysis of these situations and their transposition into classrooms.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>What is the place of examples in the teaching of abstract algebra?</title>
      <description><![CDATA[Teaching abstract algebra, seen as the study of structures and properties of structures, at a university level appears to be a challenge for both students and faculty. The professors in our study describe this passage through abstraction for the student body as a "killing game", an "impassable wall" or a "leap through abstraction". In this paper, based on a case study (Candy, 2020) we will investigate the choices of professors teaching abstract algebra at university. These professors were chosen because they teach abstract algebra at university in France, and they gave us access to their course corpus and agreed to be interviewed. In this article, we will choose to study in particular the teaching of the concept of ideal. An epistemological analysis will allow us to highlight its central role in the construction of abstract algebra. Then, using the anthropological theory of didactics (Chevallard, 1998), we will try to specify the place of examples and exercises in the praxis of the student body.]]></description>
      <pubDate>Thu, 29 Jun 2023 22:00:00 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9205</link>
      <guid>https://doi.org/10.46298/epidemes-9205</guid>
      <author>Stalder, Julie</author>
      <dc:creator>Stalder, Julie</dc:creator>
      <content:encoded><![CDATA[Teaching abstract algebra, seen as the study of structures and properties of structures, at a university level appears to be a challenge for both students and faculty. The professors in our study describe this passage through abstraction for the student body as a "killing game", an "impassable wall" or a "leap through abstraction". In this paper, based on a case study (Candy, 2020) we will investigate the choices of professors teaching abstract algebra at university. These professors were chosen because they teach abstract algebra at university in France, and they gave us access to their course corpus and agreed to be interviewed. In this article, we will choose to study in particular the teaching of the concept of ideal. An epistemological analysis will allow us to highlight its central role in the construction of abstract algebra. Then, using the anthropological theory of didactics (Chevallard, 1998), we will try to specify the place of examples and exercises in the praxis of the student body.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Conceptions des étudiants des classes préparatoires en Tunisie sur l'intégrale de Riemann</title>
      <description><![CDATA[The integral is one of the most important topics in Calculus that is difficult to be understood by many students. When solving definite integral application problems, previous research emphasizes that students found the antiderivative procedure more useful and easier than the approximation process or area (Akrouti, 2020). This paper focuses on students' conceptions of the definite integral in the first year of preparatory class. Data were collected from students' written responses to questions that relate to their views of integration. The analysis shows that the majority of students choose the algebraic process to evaluate the proposed integrals. Participants were first-semester calculus students enrolled in a public university.]]></description>
      <pubDate>Tue, 06 Jun 2023 15:37:46 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9847</link>
      <guid>https://doi.org/10.46298/epidemes-9847</guid>
      <author>Akrouti, Inen</author>
      <author>Mrabet, Slim</author>
      <dc:creator>Akrouti, Inen</dc:creator>
      <dc:creator>Mrabet, Slim</dc:creator>
      <content:encoded><![CDATA[The integral is one of the most important topics in Calculus that is difficult to be understood by many students. When solving definite integral application problems, previous research emphasizes that students found the antiderivative procedure more useful and easier than the approximation process or area (Akrouti, 2020). This paper focuses on students' conceptions of the definite integral in the first year of preparatory class. Data were collected from students' written responses to questions that relate to their views of integration. The analysis shows that the majority of students choose the algebraic process to evaluate the proposed integrals. Participants were first-semester calculus students enrolled in a public university.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Analyzing today geometry on architectural heritage between mathematics and representation to define architect's background</title>
      <description><![CDATA[We present and analyze an example of activity aiming at introducing graphical language and standards to students of the first year bachelor's in architecture. Our example concerns the 2D representation of an architectural object, an essential competency in the architect's profession, and specifically deals with roofing systems made up of vaults generated by cylinders and their intersections. It is a first attempt to create activities that involve all students regardless of their different levels of geometric understanding and of familiarity with graphic language; in particular, this example exploits the introduction of physical or virtual models to support the mathematical thinking of students in completing the task and takes place during regular lesson times, without modifying or adding mathematical subject contents. Research literature on mathematical modeling, in particular on the so-called prescriptive one, provides us tools to frame and implement our study case; it also allows presenting mathematical modeling as a goal in an extra-mathematical educational context.]]></description>
      <pubDate>Wed, 05 Apr 2023 09:03:19 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9098</link>
      <guid>https://doi.org/10.46298/epidemes-9098</guid>
      <author>Cumino, Caterina</author>
      <author>Pavignano, Martino</author>
      <author>Zich, Ursula</author>
      <dc:creator>Cumino, Caterina</dc:creator>
      <dc:creator>Pavignano, Martino</dc:creator>
      <dc:creator>Zich, Ursula</dc:creator>
      <content:encoded><![CDATA[We present and analyze an example of activity aiming at introducing graphical language and standards to students of the first year bachelor's in architecture. Our example concerns the 2D representation of an architectural object, an essential competency in the architect's profession, and specifically deals with roofing systems made up of vaults generated by cylinders and their intersections. It is a first attempt to create activities that involve all students regardless of their different levels of geometric understanding and of familiarity with graphic language; in particular, this example exploits the introduction of physical or virtual models to support the mathematical thinking of students in completing the task and takes place during regular lesson times, without modifying or adding mathematical subject contents. Research literature on mathematical modeling, in particular on the so-called prescriptive one, provides us tools to frame and implement our study case; it also allows presenting mathematical modeling as a goal in an extra-mathematical educational context.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Students using programming for pure and applied mathematics investigations</title>
      <description><![CDATA[In this paper, we recount our research on undergraduate mathematics students learning to use programming for mathematics investigation projects. More precisely, we focus on how a particular theoretical perspective (the Instrumental Approach) helps us better understand this student activity. Pulling data from students' and instructors' experiences in a sequence of courses (offered since 2001), our results expose, at the micro and macro levels, how the student activity is organized (through stable 'ways of doing'), and highlights the complexity of this activity (as an intertwined web of 'ways of doing' involving a combination of both mathematics and programming competencies). We end with concrete recommendations to instructors.]]></description>
      <pubDate>Thu, 30 Mar 2023 11:52:30 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9190</link>
      <guid>https://doi.org/10.46298/epidemes-9190</guid>
      <author>Buteau, Chantal</author>
      <author>Broley, Laura</author>
      <author>Dreise, Kirstin</author>
      <author>Muller, Eric</author>
      <dc:creator>Buteau, Chantal</dc:creator>
      <dc:creator>Broley, Laura</dc:creator>
      <dc:creator>Dreise, Kirstin</dc:creator>
      <dc:creator>Muller, Eric</dc:creator>
      <content:encoded><![CDATA[In this paper, we recount our research on undergraduate mathematics students learning to use programming for mathematics investigation projects. More precisely, we focus on how a particular theoretical perspective (the Instrumental Approach) helps us better understand this student activity. Pulling data from students' and instructors' experiences in a sequence of courses (offered since 2001), our results expose, at the micro and macro levels, how the student activity is organized (through stable 'ways of doing'), and highlights the complexity of this activity (as an intertwined web of 'ways of doing' involving a combination of both mathematics and programming competencies). We end with concrete recommendations to instructors.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Relation between understandings of linear algebra concepts in the embodied world and in the symbolic world</title>
      <description><![CDATA[For the use of embodied notions in teaching linear algebra, some studies indicate that it is helpful, whereas other studies indicate that it could be problematic or become an obstacle. Hence, additional research is needed. This study is focused on linear (in)dependence and basis, and investigates the relation between their understandings in the embodied and symbolic worlds. We also examine whether students' conceptions in the embodied world can be improved by the instruction emphasizing geometric images, as our previous studies identified some limitations of students' understanding in the embodied world. To address these issues, we designed four tasks aiming to assess students' conceptions of linear (in)dependence, basis, and dimension, and also designed linear algebra lessons emphasizing geometric images of these concepts. These tasks were conducted during the lessons and the data of 38 engineering students was collected. The analysis for the data showed that conceptions in the embodied world was positively associated with conceptions in the symbolic world; however, students' conceptions in the embodied world were not sufficiently improved by the geometric instruction implemented in this study.]]></description>
      <pubDate>Thu, 30 Mar 2023 11:13:58 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-8438</link>
      <guid>https://doi.org/10.46298/epidemes-8438</guid>
      <author>Kawazoe, Mitsuru</author>
      <dc:creator>Kawazoe, Mitsuru</dc:creator>
      <content:encoded><![CDATA[For the use of embodied notions in teaching linear algebra, some studies indicate that it is helpful, whereas other studies indicate that it could be problematic or become an obstacle. Hence, additional research is needed. This study is focused on linear (in)dependence and basis, and investigates the relation between their understandings in the embodied and symbolic worlds. We also examine whether students' conceptions in the embodied world can be improved by the instruction emphasizing geometric images, as our previous studies identified some limitations of students' understanding in the embodied world. To address these issues, we designed four tasks aiming to assess students' conceptions of linear (in)dependence, basis, and dimension, and also designed linear algebra lessons emphasizing geometric images of these concepts. These tasks were conducted during the lessons and the data of 38 engineering students was collected. The analysis for the data showed that conceptions in the embodied world was positively associated with conceptions in the symbolic world; however, students' conceptions in the embodied world were not sufficiently improved by the geometric instruction implemented in this study.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Making UME research accessible and meaningful to the Mathematics community: A Special Issue commentary</title>
      <description><![CDATA[Commentary to the ÉpiDEMES Special Issue aims to offer accessible accounts of University MathematicsEducation (UME) research to the Mathematics community]]></description>
      <pubDate>Fri, 26 Aug 2022 08:35:22 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9265</link>
      <guid>https://doi.org/10.46298/epidemes-9265</guid>
      <author>Michèle, Artigue</author>
      <author>Nardi, Elena</author>
      <dc:creator>Michèle, Artigue</dc:creator>
      <dc:creator>Nardi, Elena</dc:creator>
      <content:encoded><![CDATA[Commentary to the ÉpiDEMES Special Issue aims to offer accessible accounts of University MathematicsEducation (UME) research to the Mathematics community]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>The evolution of a study and research path in Statistics</title>
      <description><![CDATA[We present the organisation of a first course in statistics for Business Administration degree students, which includes a study and research path (SRP) as an inquiry-based teaching proposal. The paper aims to summarise the course’s evolution, design, and reflections on its various components separately and together as a complete unit. The analysis considers three perspectives on the course: those of the students, the lecturer, and the researcher to provide a critical perspective. The discussion includes the joint evolution of the course and the SRP. Under the Anthropological Theory of the Didactic framework, we show that the design and management of the SRP cannot be detached from the course as a whole. We also see how the course components nourish the SRP and how this, in turn, drives the evolution of the course content and adapts it to the students’ professional needs. This inquiry proposal requires a multidimensional approach in both its planning and the dissemination of its outcomes in the research and professional literature. Therefore, our study can contribute to didactics research on SRPs and serve as a starting point for newcomers to inquiry-based teaching, and as a reflection to foster collaborations between researchers in didactics and lecturers.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:34:57 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-7584</link>
      <guid>https://doi.org/10.46298/epidemes-7584</guid>
      <author>Markulin, Kristina</author>
      <author>Bosch, Marianna</author>
      <author>Florensa, Ignasi</author>
      <author>Montañola, Cristina</author>
      <dc:creator>Markulin, Kristina</dc:creator>
      <dc:creator>Bosch, Marianna</dc:creator>
      <dc:creator>Florensa, Ignasi</dc:creator>
      <dc:creator>Montañola, Cristina</dc:creator>
      <content:encoded><![CDATA[We present the organisation of a first course in statistics for Business Administration degree students, which includes a study and research path (SRP) as an inquiry-based teaching proposal. The paper aims to summarise the course’s evolution, design, and reflections on its various components separately and together as a complete unit. The analysis considers three perspectives on the course: those of the students, the lecturer, and the researcher to provide a critical perspective. The discussion includes the joint evolution of the course and the SRP. Under the Anthropological Theory of the Didactic framework, we show that the design and management of the SRP cannot be detached from the course as a whole. We also see how the course components nourish the SRP and how this, in turn, drives the evolution of the course content and adapts it to the students’ professional needs. This inquiry proposal requires a multidimensional approach in both its planning and the dissemination of its outcomes in the research and professional literature. Therefore, our study can contribute to didactics research on SRPs and serve as a starting point for newcomers to inquiry-based teaching, and as a reflection to foster collaborations between researchers in didactics and lecturers.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Quelques pistes pour améliorer les usages de l'implication mathématique en début d'université</title>
      <description><![CDATA[Fresh university students face from the very beginning the need to study and develop by themselves more and more complex reasoning and proofs, which they had little opportunity to make in their secondary studies, including in the scientific tracks. In this article, we focus on the notion of implication. We first come back to the main known difficulties; then we present theoretical tools allowing to foresee and analyze these difficulties. Based on our practice as teachers in undergraduate mathematics and by research in didactics of mathematics, we consider that for the teaching of notions of logic it is necessary to find a balance between a formal approach, which is known to be not effective, and an approach that would eliminate the formal aspects which is also known to be not effective. Then, we will propose activities aiming explicitly to work on aspects related to the notion of implication, while mentioning opportunities for reinvest the knowledge developed during these activities in the teaching and learning of other concepts.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:34:30 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-7550</link>
      <guid>https://doi.org/10.46298/epidemes-7550</guid>
      <author>Durand-Guerrier, Viviane</author>
      <author>Mesnil, Zoé</author>
      <dc:creator>Durand-Guerrier, Viviane</dc:creator>
      <dc:creator>Mesnil, Zoé</dc:creator>
      <content:encoded><![CDATA[Fresh university students face from the very beginning the need to study and develop by themselves more and more complex reasoning and proofs, which they had little opportunity to make in their secondary studies, including in the scientific tracks. In this article, we focus on the notion of implication. We first come back to the main known difficulties; then we present theoretical tools allowing to foresee and analyze these difficulties. Based on our practice as teachers in undergraduate mathematics and by research in didactics of mathematics, we consider that for the teaching of notions of logic it is necessary to find a balance between a formal approach, which is known to be not effective, and an approach that would eliminate the formal aspects which is also known to be not effective. Then, we will propose activities aiming explicitly to work on aspects related to the notion of implication, while mentioning opportunities for reinvest the knowledge developed during these activities in the teaching and learning of other concepts.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>The need for reconstruction: students’ learning of the calculus of bivariate functions</title>
      <description><![CDATA[This article presents a review of our research on students’ understanding of the calculus of bivariatefunctions. It summarizes findings from studies conducted during 15 years of research on the topic with the aim ofdisseminating our overall results in an accessible format. The results discussed underscore the new challenges thatstudents face when dealing with this new type of function and suggest that the belief that students can easily generalizefrom their knowledge of one-variable functions is not sustained by research, so the different foundational notionsnecessary for the context of bivariate functions need to be considered explicitly during instruction. We include researchbased suggestions that have practical value for teaching these functions, and update the state of research in thisimportant area of the didactics of mathematics, which makes the need for further research apparent.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:34:09 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9780</link>
      <guid>https://doi.org/10.46298/epidemes-9780</guid>
      <author>Trigueros Gaisman, Maria</author>
      <author>Martínez-Planell, Rafael</author>
      <dc:creator>Trigueros Gaisman, Maria</dc:creator>
      <dc:creator>Martínez-Planell, Rafael</dc:creator>
      <content:encoded><![CDATA[This article presents a review of our research on students’ understanding of the calculus of bivariatefunctions. It summarizes findings from studies conducted during 15 years of research on the topic with the aim ofdisseminating our overall results in an accessible format. The results discussed underscore the new challenges thatstudents face when dealing with this new type of function and suggest that the belief that students can easily generalizefrom their knowledge of one-variable functions is not sustained by research, so the different foundational notionsnecessary for the context of bivariate functions need to be considered explicitly during instruction. We include researchbased suggestions that have practical value for teaching these functions, and update the state of research in thisimportant area of the didactics of mathematics, which makes the need for further research apparent.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Research situations for accessing mathematical concepts at university entrance</title>
      <description><![CDATA[This article presents a device which is organised in the University of Pau and aims to help first year students to overcome their difficulties and adapt themselves to mathematics of this level. They are invited to become involved in the research of mathematical problems. We present two of these situations and analyse students' productions. These productions show clearly that they have reasoning difficulties and do not master the specific concepts of Calculus in this transition Secondary/University. The device helps students to question the meaning of concepts and then, to fit into the logic of University mathematics.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:33:40 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9886</link>
      <guid>https://doi.org/10.46298/epidemes-9886</guid>
      <author>Bloch, Isabelle</author>
      <author>Gibel, Patrick</author>
      <dc:creator>Bloch, Isabelle</dc:creator>
      <dc:creator>Gibel, Patrick</dc:creator>
      <content:encoded><![CDATA[This article presents a device which is organised in the University of Pau and aims to help first year students to overcome their difficulties and adapt themselves to mathematics of this level. They are invited to become involved in the research of mathematical problems. We present two of these situations and analyse students' productions. These productions show clearly that they have reasoning difficulties and do not master the specific concepts of Calculus in this transition Secondary/University. The device helps students to question the meaning of concepts and then, to fit into the logic of University mathematics.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>The development of mathematics support: teaching and learning practices, scholarship and communities</title>
      <description><![CDATA[Mathematics support for students is an innovation in the teaching and learning of mathematics which now plays a vital role in their learning experience and which is provided by most universities in the United Kingdom, and increasingly in other parts of the world. This paper describes and reviews research into the development of this provision over the last 30 years or so, providing a rationale for its establishment in terms of student under-preparedness for the mathematical demands of university study, widening participation in higher education and the increasing importance of mathematical and statistical skills to a very wide range of disciplines. The most common model used to provide mathematics support is a 'drop-in' centre which offers one-to-one support to students who attend to see an]]></description>
      <pubDate>Fri, 26 Aug 2022 08:33:01 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9097</link>
      <guid>https://doi.org/10.46298/epidemes-9097</guid>
      <author>Lawson, Duncan</author>
      <author>Grove, Michael</author>
      <author>Croft, Tony</author>
      <dc:creator>Lawson, Duncan</dc:creator>
      <dc:creator>Grove, Michael</dc:creator>
      <dc:creator>Croft, Tony</dc:creator>
      <content:encoded><![CDATA[Mathematics support for students is an innovation in the teaching and learning of mathematics which now plays a vital role in their learning experience and which is provided by most universities in the United Kingdom, and increasingly in other parts of the world. This paper describes and reviews research into the development of this provision over the last 30 years or so, providing a rationale for its establishment in terms of student under-preparedness for the mathematical demands of university study, widening participation in higher education and the increasing importance of mathematical and statistical skills to a very wide range of disciplines. The most common model used to provide mathematics support is a 'drop-in' centre which offers one-to-one support to students who attend to see an]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Transition secondaire-supérieur : Ce que nous apprend la recherche en didactique des mathématiques</title>
      <description><![CDATA[This article presents a synthesis of international research in mathematics education about the secondarytertiary transition, with a specific interest in the most recent works. These studies may concern students' difficulties, and investigate different factors causing these difficulties: notions become more abstract, expected practices refer to those of mathematicians, the institutional culture changes. Some studies analyze more broadly the practices of teachers and students at the end of high school or at the beginning of post-secondary level. Research in mathematics education provides keys to understanding current practices and their consequences, whether in ordinary courses or in teaching device specially designed to improve the transition from secondary to tertiary education. In some cases, it also proposes innovative courses fostering active student involvement, and highlights the benefits of these courses. The development of initial and in-service training for university teachers could help extend such teaching beyond experimental contexts.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:32:16 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-7486</link>
      <guid>https://doi.org/10.46298/epidemes-7486</guid>
      <author>Gueudet, Ghislaine</author>
      <author>Vandebrouck, Fabrice</author>
      <dc:creator>Gueudet, Ghislaine</dc:creator>
      <dc:creator>Vandebrouck, Fabrice</dc:creator>
      <content:encoded><![CDATA[This article presents a synthesis of international research in mathematics education about the secondarytertiary transition, with a specific interest in the most recent works. These studies may concern students' difficulties, and investigate different factors causing these difficulties: notions become more abstract, expected practices refer to those of mathematicians, the institutional culture changes. Some studies analyze more broadly the practices of teachers and students at the end of high school or at the beginning of post-secondary level. Research in mathematics education provides keys to understanding current practices and their consequences, whether in ordinary courses or in teaching device specially designed to improve the transition from secondary to tertiary education. In some cases, it also proposes innovative courses fostering active student involvement, and highlights the benefits of these courses. The development of initial and in-service training for university teachers could help extend such teaching beyond experimental contexts.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Challenges related to the teaching of mathematics in higher education today</title>
      <description><![CDATA[Parmi les recherches en didactique des mathématiques consacrées à l’enseignement supérieur, on distingue deux types d’initiatives : celles qui favorisent le développement des résultats de recherche et celles qui promeuvent les réflexions sur l’enseignement des mathématiques. Dans les deux cas, des didacticien.ne.s des mathématiques et des chercheur.e.s en mathématiques ont joué un rôle moteur, et parfois conjoint. En retraçant quelques éléments liés à l’histoire de ces initiatives, nous verrons comment la création de la revue EpiDEMES (Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur) se positionne dans la continuité des efforts entrepris.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:31:33 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9743</link>
      <guid>https://doi.org/10.46298/epidemes-9743</guid>
      <author>Grenier-Boley, Nicolas</author>
      <author>Sabra, Hussein</author>
      <author>Nyssen, Louise</author>
      <author>Romo-Vázquez, Avenilde</author>
      <author>Durand-Guerrier, Viviane</author>
      <dc:creator>Grenier-Boley, Nicolas</dc:creator>
      <dc:creator>Sabra, Hussein</dc:creator>
      <dc:creator>Nyssen, Louise</dc:creator>
      <dc:creator>Romo-Vázquez, Avenilde</dc:creator>
      <dc:creator>Durand-Guerrier, Viviane</dc:creator>
      <content:encoded><![CDATA[Parmi les recherches en didactique des mathématiques consacrées à l’enseignement supérieur, on distingue deux types d’initiatives : celles qui favorisent le développement des résultats de recherche et celles qui promeuvent les réflexions sur l’enseignement des mathématiques. Dans les deux cas, des didacticien.ne.s des mathématiques et des chercheur.e.s en mathématiques ont joué un rôle moteur, et parfois conjoint. En retraçant quelques éléments liés à l’histoire de ces initiatives, nous verrons comment la création de la revue EpiDEMES (Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur) se positionne dans la continuité des efforts entrepris.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
    <item>
      <title>Meeting the challenges of teaching mathematics in higher education today</title>
      <description><![CDATA[Editorial to the first issue of ÉpiDEMES. Among the research in Mathematics Education devoted to higher education, two types of initiativescan be distinguished: those promoting the development of research results and those promotingreflections on mathematics teaching. In both cases, mathematics educators and Mathematicsresearchers have played – sometimes jointly – a leading role. The creation of the journalÉpiDEMES (Epijournal de Didactique et Epistémologie des Mathématiques pour l'EnseignementSupérieur in French) is positioned in the continuity of these efforts.]]></description>
      <pubDate>Fri, 26 Aug 2022 08:29:15 +0000</pubDate>
      <link>https://doi.org/10.46298/epidemes-9785</link>
      <guid>https://doi.org/10.46298/epidemes-9785</guid>
      <author>Grenier-Boley, Nicolas</author>
      <author>Sabra, Hussein</author>
      <dc:creator>Grenier-Boley, Nicolas</dc:creator>
      <dc:creator>Sabra, Hussein</dc:creator>
      <content:encoded><![CDATA[Editorial to the first issue of ÉpiDEMES. Among the research in Mathematics Education devoted to higher education, two types of initiativescan be distinguished: those promoting the development of research results and those promotingreflections on mathematics teaching. In both cases, mathematics educators and Mathematicsresearchers have played – sometimes jointly – a leading role. The creation of the journalÉpiDEMES (Epijournal de Didactique et Epistémologie des Mathématiques pour l'EnseignementSupérieur in French) is positioned in the continuity of these efforts.]]></content:encoded>
      <slash:comments>0</slash:comments>
    </item>
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