This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences of…

Describes an earlier study on the main characteristics and background of undergraduate students' difficulties when trying to solve mathematical tasks. Focuses on and extends part of an earlier study that concerned task solving strategies. Indicates that focusing on what is familiar and remembered at a superficial level is dominant over reasoning…

Analyzes video recordings of three undergraduate students' textbook-based homework. Focuses on the ways in which their exercise reasoning is mathematically well-founded or superficial. Indicates that most strategy choices and implementations are carried out without considering the intrinsic mathematical properties of the components involved in…