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Resumen. El presente articulo reporta un estudio transeccional descriptivo sobre el desarrollo de habilidades matematicas asi como la relacion de estas con actividades matematicas y contenidos especificos. Analizamos producciones escritas de estudiantes de carreras de ingenieria que realizan su primer curso de Calculo Diferencial. Para esta experiencia han trabajado en un taller usando el software Mathematica®. Describimos los criterios considerados para la clasificacion de las actividades y habilidades, los instrumentos para la evaluacion y el procesamiento de los datos. En las conclusiones establecemos relaciones entre tipos de actividades y habilidades promovidas y nos referimos al rol del software en la ensenanza y en el aprendizaje de la introduccion al Calculo Diferencial. Finalmente mediante el analisis estadistico descriptivo y el de componentes principales reforzamos la hipotesis de que una habilidad debe medirse en estrecha dependencia con el contenido y la tarea realizada. Palabras clave: Habilidades matematicas, diseno de actividades, software matematico de calculo simbolico y numerico, calculo diferencial, analisis estadistico por componentes principales. Abstract. This paper reports a transactional descriptive study on math skills, as part of mathematical competence, and its relationship with math activities and specific content. We analyze written productions of students, from Engineering careers, of the their first-Calculus course. For this experience, they have worked in a workshop using Mathematica ®software. We describe here the criteria used for the classification of activities and skills, the tools for evaluation and processing of the data. In the conclusions we establish relationships between types of activities and skills promoted and we refer to the role of software in teaching and learning in the introductory Differential Calculus course. Finally through descriptive statistical analysis and principal components analysis we also reinforce the hypothesis that a skill should be measured in close dependence on the content and the task. KeyWords: Math Skills, design activities, mathematical calculus software, Differential Calculus, principal components analysis.

Actividades de Cálculo Diferencial con Computadora: Estudio de Habilidades Matemáticas Desarrolladas