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Papers by Christophe Viudez

Research paper thumbnail of First Version of the Dynamic Digital Artrefacts

Research paper thumbnail of Introduction de nouvelles représentations dans le micromonde Aplusix

In the context of the European Project ReMath, we introduced new representations of algebraic exp... more In the context of the European Project ReMath, we introduced new representations of algebraic expressions into two software tools Aplusix and AlNuSet. The purpose was to respond to didactical hypotheses concerning the importance of using registers of representation for learning algebra. In particular, we relied on the research of Duval (1993), Peirce (1998), and Sfard (1991) to frame our work. Different choices concerning representations were made in the two software tools that guided their development both internally and in terms of their interface structure. In this paper, we show how those theoretical frameworks shaped the design of both digital artifacts. Furthermore, we analyze how our choices affected the actions and feedback allowed in these tools. Finally, we present new types of tasks that these advanced artifacts allow one to perform.

Research paper thumbnail of Information Society Technologies (IST) Programme

This document, a final output of the WWAAC project's Workpackage 7, focuses on guidelines for a W... more This document, a final output of the WWAAC project's Workpackage 7, focuses on guidelines for a World Wide Web that is more accessible by people with complex communication needs who use graphic symbol-based augmentative and alternative communication (AAC). The first stage of this activity was to develop an internal project resource, documenting requirements identified in the early phases of the WWAAC project and current work in the area of Web accessibility. This internal resource, originally prepared as internal deliverable i6, has now been updated and forms the first part of this document.

Research paper thumbnail of Sous Forme Graphique D'Expressions Algébriques

Dans le cadre du projet Européen ReMath, nous avons entrepris d'introduire deux nouvelles représe... more Dans le cadre du projet Européen ReMath, nous avons entrepris d'introduire deux nouvelles représentations des expressions algébriques dans le micromonde Aplusix : une représentation mixte Naturelle & Arbre mêlant la représentation naturelle en deux dimensions des expressions algébriques avec une représentation en arbre, et une représentation graphique dans le plan des fonctions et sur la droite des ensembles de solutions des équations. Notre travail emprunte une démarche traditionnelle centrée sur la définition de nouveaux objets et fonctionnalités, programmant phase de spécification, phase de développement et phase de tests, combinée avec une approche orientée expérimentation prenant en compte les futures expérimentations croisées prévues dans le projet ReMath. Les questions et solutions émergeantes sont présentées concernant en particulier l'importance des possibilités en édition et en manipulation directe que ces nouvelles représentations peuvent apporter, la distance entre représentation interne et représentation externe dans un micromonde, le statut des objets et des représentations dans ce même cadre et les apports pour la visualisation de l'équivalence entre expressions (rétroaction sémantique fondamentale au coeur d'Aplusix).

Research paper thumbnail of Introduction de nouvelles représentations dans le micromonde Aplusix Représentations sous forme mixte Naturelle & Arbre et sous forme graphique d’expressions algébriques

In the context of the European Project ReMath, we introduced new representations of algebraic exp... more In the context of the European Project ReMath, we introduced new representations of algebraic expressions into two software tools Aplusix and AlNuSet. The purpose was to respond to didactical hypotheses concerning the importance of using registers of representation for learning algebra. In particular, we relied on the research of Duval (1993), Peirce (1998), and Sfard (1991) to frame our work. Different choices concerning representations were made in the two software tools that guided their development both internally and in terms of their interface structure. In this paper, we show how those theoretical frameworks shaped the design of both digital artifacts. Furthermore, we analyze how our choices affected the actions and feedback allowed in these tools. Finally, we present new types of tasks that these advanced artifacts allow one to perform.

Research paper thumbnail of epsilonWriter: implementing new ideas for typing text and math

We have developed a prototype for smoothly typing and editing text and math. Smoothly means that,... more We have developed a prototype for smoothly typing and editing text and math. Smoothly means that, for example, if the user types "Peter has 2/3 of the age of Paul", when "/" is typed, a fraction appears with the cursor at the denominator. A click places the cursor as well in a text word than in a mathematical expression (there is no special window to open) and the general principles of the editor of the Aplusix educational software have been used to implement smooth insertion, deletion, selection, copy, cut, past and drag&drop. An additional mechanism is the "Change" key which allows getting another result when available and which drastically decreases the number of buttons for choosing operators. For example, there is only one "sigma" button for sums; the different forms are reached with the "Change" key.

Research paper thumbnail of Adding new Representations of Mathematical Objects to Aplusix

In the framework of the ReMath European project, we initiated two new representations for algebra... more In the framework of the ReMath European project, we initiated two new representations for algebraic expressions in Aplusix: a Tree & Natural representation mixing tree representations and natural representations of algebraic expressions, and a graphical representations to show curves and sets of solutions. Our work has been driven by two approaches: (1) a traditional approach focusing on the definition of new objects with their functionalities, beginning with a specification phase and continuing with a development phase;

Research paper thumbnail of First Version of the Dynamic Digital Artrefacts

Research paper thumbnail of Introduction de nouvelles représentations dans le micromonde Aplusix

In the context of the European Project ReMath, we introduced new representations of algebraic exp... more In the context of the European Project ReMath, we introduced new representations of algebraic expressions into two software tools Aplusix and AlNuSet. The purpose was to respond to didactical hypotheses concerning the importance of using registers of representation for learning algebra. In particular, we relied on the research of Duval (1993), Peirce (1998), and Sfard (1991) to frame our work. Different choices concerning representations were made in the two software tools that guided their development both internally and in terms of their interface structure. In this paper, we show how those theoretical frameworks shaped the design of both digital artifacts. Furthermore, we analyze how our choices affected the actions and feedback allowed in these tools. Finally, we present new types of tasks that these advanced artifacts allow one to perform.

Research paper thumbnail of Information Society Technologies (IST) Programme

This document, a final output of the WWAAC project's Workpackage 7, focuses on guidelines for a W... more This document, a final output of the WWAAC project's Workpackage 7, focuses on guidelines for a World Wide Web that is more accessible by people with complex communication needs who use graphic symbol-based augmentative and alternative communication (AAC). The first stage of this activity was to develop an internal project resource, documenting requirements identified in the early phases of the WWAAC project and current work in the area of Web accessibility. This internal resource, originally prepared as internal deliverable i6, has now been updated and forms the first part of this document.

Research paper thumbnail of Sous Forme Graphique D'Expressions Algébriques

Dans le cadre du projet Européen ReMath, nous avons entrepris d'introduire deux nouvelles représe... more Dans le cadre du projet Européen ReMath, nous avons entrepris d'introduire deux nouvelles représentations des expressions algébriques dans le micromonde Aplusix : une représentation mixte Naturelle & Arbre mêlant la représentation naturelle en deux dimensions des expressions algébriques avec une représentation en arbre, et une représentation graphique dans le plan des fonctions et sur la droite des ensembles de solutions des équations. Notre travail emprunte une démarche traditionnelle centrée sur la définition de nouveaux objets et fonctionnalités, programmant phase de spécification, phase de développement et phase de tests, combinée avec une approche orientée expérimentation prenant en compte les futures expérimentations croisées prévues dans le projet ReMath. Les questions et solutions émergeantes sont présentées concernant en particulier l'importance des possibilités en édition et en manipulation directe que ces nouvelles représentations peuvent apporter, la distance entre représentation interne et représentation externe dans un micromonde, le statut des objets et des représentations dans ce même cadre et les apports pour la visualisation de l'équivalence entre expressions (rétroaction sémantique fondamentale au coeur d'Aplusix).

Research paper thumbnail of Introduction de nouvelles représentations dans le micromonde Aplusix Représentations sous forme mixte Naturelle & Arbre et sous forme graphique d’expressions algébriques

In the context of the European Project ReMath, we introduced new representations of algebraic exp... more In the context of the European Project ReMath, we introduced new representations of algebraic expressions into two software tools Aplusix and AlNuSet. The purpose was to respond to didactical hypotheses concerning the importance of using registers of representation for learning algebra. In particular, we relied on the research of Duval (1993), Peirce (1998), and Sfard (1991) to frame our work. Different choices concerning representations were made in the two software tools that guided their development both internally and in terms of their interface structure. In this paper, we show how those theoretical frameworks shaped the design of both digital artifacts. Furthermore, we analyze how our choices affected the actions and feedback allowed in these tools. Finally, we present new types of tasks that these advanced artifacts allow one to perform.

Research paper thumbnail of epsilonWriter: implementing new ideas for typing text and math

We have developed a prototype for smoothly typing and editing text and math. Smoothly means that,... more We have developed a prototype for smoothly typing and editing text and math. Smoothly means that, for example, if the user types "Peter has 2/3 of the age of Paul", when "/" is typed, a fraction appears with the cursor at the denominator. A click places the cursor as well in a text word than in a mathematical expression (there is no special window to open) and the general principles of the editor of the Aplusix educational software have been used to implement smooth insertion, deletion, selection, copy, cut, past and drag&drop. An additional mechanism is the "Change" key which allows getting another result when available and which drastically decreases the number of buttons for choosing operators. For example, there is only one "sigma" button for sums; the different forms are reached with the "Change" key.

Research paper thumbnail of Adding new Representations of Mathematical Objects to Aplusix

In the framework of the ReMath European project, we initiated two new representations for algebra... more In the framework of the ReMath European project, we initiated two new representations for algebraic expressions in Aplusix: a Tree & Natural representation mixing tree representations and natural representations of algebraic expressions, and a graphical representations to show curves and sets of solutions. Our work has been driven by two approaches: (1) a traditional approach focusing on the definition of new objects with their functionalities, beginning with a specification phase and continuing with a development phase;