Helping Teachers Generate Exercises with Random Coefficients

International audienceFirst, we propose two taxonomies concerning software designed for teaching mathematics, which we call Technology Enhanced Learning (TEL) environments, the first one concerns the teacher's place and role in TEL environments, the second one concerns the activities which are foreseen and provided by TEL environments. Second, we consider TEL environments which provide teachers with tools for building patterns of exercises used in the TEL environment to generate randomly and dynamically exercises or lists of exercises. Our approach is compared to classical approaches (based on standards like IMS-QTI or on Computer Algebra Systems)

Helping Teachers Generate Exercises with Random Coefficients

International audienceFirst, we propose two taxonomies concerning software designed for teaching mathematics, which we call TEL (Technology Enhanced Learning) environment, the first one is on teacher's place and role in TEL environments, the other one is on the activities which are foreseen and provided by TEL environments. Second, we consider TEL environments which provide teachers with tools for building patterns of exercises used in the TEL environment to generate randomly and dynamically exercises or list of exercises. Our approach is compared to classical approaches (based on standards like IMS-QTI or on Computer Algebra Systems)

An Analysis of Interactive Learning Environments for Arithmetic and Algebra Through an Integrative Perspective

International audienceThe analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a state-of-the-art. Then the methodology of ILEs analysis developed in the TELMA project is explained consisting in the design and the refinement of an analysis grid and its use on the ten ILEs is mentioned. Next, a first level analysis of results leading to a compiled, analytic and synthetic view of the ILEs available and/or missing functionalities is given. A second level of the analysis is also proposed, with two concise representations of the ILEs, composed of graphical representations of the previous results, leading to a 3D map of ILEs dedicated to arithmetic and algebra. This map provides, as promised, a global view of the field and permits to define five sorts of ILEs according to two criteria: the first one is teacher-oriented and concerns usages enabled by the ILE; the second one is student-oriented and concerns control provided by the ILE to accomplish such usages

An Analysis of Interactive Learning Environments for Arithmetic and Algebra Through an Integrative Perspective

International audienceThe analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a state-of-the-art. Then the methodology of ILEs analysis developed in the TELMA project is explained consisting in the design and the refinement of an analysis grid and its use on the ten ILEs is mentioned. Next, a first level analysis of results leading to a compiled, analytic and synthetic view of the ILEs available and/or missing functionalities is given. A second level of the analysis is also proposed, with two concise representations of the ILEs, composed of graphical representations of the previous results, leading to a 3D map of ILEs dedicated to arithmetic and algebra. This map provides, as promised, a global view of the field and permits to define five sorts of ILEs according to two criteria: the first one is teacher-oriented and concerns usages enabled by the ILE; the second one is student-oriented and concerns control provided by the ILE to accomplish such usages

Challenges to Transferring Western Field Research Materials and Methods to a Developing World Context

Much of the research currently undertaken in the area of intelligent tutoring systems hails from Western countries. To counteract any bias that this situation produces, to gain greater representation from the rest of the world, and to produce systems and publications that take cultural factors into account, experts recognize the need for more intercultural evaluations and collaborations. For these collaborations to be successful, though, methods and materials require modification. Field work methodologies used in developed countries have to be nuanced when transferred to developing world contexts. In specific, the paper describes five challenges that researchers must address in the transfer process: technology adoption, school support, infrastructure, student culture, and force majeure

Un estudio exploratorio sobre el uso de DragonBox Algebra© como una herramienta para la enseñanza de la resolución de ecuaciones.

Numerosos estudios han analizado el papel del uso de distintos sistemas de representación como una forma de favorecer el aprendizaje de la manipulación de las expresiones algebraicas. La introducción de las nuevas tecnologías en el campo de la educación matemática ha posibilitado la utilización simultánea de distintos sistemas de representación.Han aparecido diversas aplicaciones que utilizan representacionesfísicas de la ecuación como podría ser balanzas o áreas para dar significado a las manipulaciones algerbraicas.Sin embargo, el uso de modelos reales plantea la dificultad de trasladar las acciones que realizamos en el soporte físico al lenguaje algebraico.En el trabajo que presentamos analizamos el efecto que tiene usar en una situación escolar el juego DragonBox Algebra.En concreto, se estudia como varía la competencia de resolver ecuaciones cuando regresan al mundo del álgebra.Con este fin, comparamos los resultados de dos pruebas que se administraron antes y después de la intervención en un grupo de un Programa de Cualificación Profesional Inicial. Los cuestionarios estaban formados por ecuaciones que incluian una o más letras.Los resultados muestran un incremento significativo en las puntuaciones obtenidas en el post test

A Survey of User Interfaces for Computer Algebra Systems

AbstractThis paper surveys work within the Computer Algebra community (and elsewhere) directed towards improving user interfaces for scientific computation during the period 1963–1994. It is intended to be useful to two groups of people: those who wish to know what work has been done and those who would like to do work in the field. It contains an extensive bibliography to assist readers in exploring the field in more depth. Work related to improving human interaction with computer algebra systems is the main focus of the paper. However, the paper includes additional materials on some closely related issues such as structured document editing, graphics, and communication protocols

APLUSIX, un EIAH de l'algèbre

Grandbastien , Monique and Labat , Jean-Marc (Eds)International audienceCe chapitre décrit la (re-)conception de l'EIAH APLUSIX, micromonde d'apprentissage de l'algèbre pour les collèges et les lycées, ainsi que les premières expérimentations effectuées et les premiers usages observés en classe avec le produit obtenu. En particulier, ce chapitre témoigne de la tension qui existe au moment de la conception d'un EIAH entre deux problématiques, la première est liée aux objectifs d'apprentissage, la seconde concerne le développement d'une interface homme-machine (IHM). À l'intersection de ces deux domaines de recherche se trouvent les notions de micromonde et d'ergonomie notions centrales de ce chapitre