This work deals with the study of the relevance of the use of the Kinematic Theory as a conceptual basis to identify some reliable variables and to define an approach for the monitoring of children’s graphomotor progress all over their scholarship from kindergarten up to the stage when they manage cursive handwriting efficiently. It is focused on cursive handwriting of usual isolated words. Its first results underline the capacity of the sigma-lognormal modelling to reproduce movements produced by children at primary school and the interest of the studied variables to contribute to the discrimination between the pupils’ scholar grades