Understanding linear functions in an interactive digital learning environment

to their understanding is the role of the slope, which is a complex concept due to its many different conceptualizations. Problems in understanding the slope are often caused by difficulties in connecting its different meanings. This paper presents an interactive task developed in a Digital Learning Environment aimed at introducing linear functions in grade 8 and approaching an interconnected concept of the slope. The task was proposed to 299 Italian students in a classroom-based context. Through the analysis of a collective class discussion that occurred while solving this task, we show how the emergence of different conceptualizations of the slope can be elicited and supported by interactive technologies in a Digital Learning Environment.