Design of individualized digital activities fostering strategic planning in linear algebra

In this paper we present the design of the IPSE (Individualized Planned Strategy Environment), an online environment aimed at fostering the strategic planning competence for solving problems in linear algebra. The IPSE is composed by connected digital activities that guide university students in designing a plan and executing its phases by means of procedural steps theoretically justified. A peculiar feature of the IPSE is the individualization of teaching/learning, pursued by specific feedback provided within the activities and methodological choices left to the student. Moreover, we report the outcomes of a pilot study carried on with first year engineering students: relying on the notion of aletheic component of rational behavior [10], we classify some different expressions of it arisen in written problem solving processes by students who worked with the IPSE.