Year-one children thinking about and writing ‘large’ quantities / Niños de primer grado pensando en y anotando cantidades ‘grandes’

Abstract

We studied how year-one children in primary school think about and with numbers when they use verbal expressions and numerical notations to suggest ‘very large’ quantities in different contexts of meaning (tokens, an elderly person’s age, stars). We individually interviewed 63 children from schools in Río Negro, Argentina. The analysis identified the different ways children approached the tension that exists between stability and innovation. Context seems to influence the answers given by many of the children who were interviewed. The results showed five cognitive trajectories: in the first two, children did not demonstrate any innovation in their notations. Children in the remaining trajectories (84% of respondents) conducted a kind of numerical ‘take off’ in at least one of the tasks. Knowledge of the number series does not guarantee an easy approach to writing ‘large’ quantities but it does seem to favour a strategy of greater cognitive flexibility.