This paper presents research activity in the solution of geometric tasks by mathematics teachers and by mathematics teacher trainees at a College of Education as part of an advanced courses. This activity tested the level of knowledge and ability to apply it in the solution of problems that can be solved in a number of ways: by using various tools…

This study explores university students' understanding of the relationships between formal definitions of the limit of a function and the limit of a sequence in terms of the accumulation point in a technology-enhanced collaborative learning environment. The participants of this study are 17 prospective mathematics teachers. The data are collected…

This paper focuses on pre-service mathematics teachers' geometrical construction processes while using a duo of artefacts, namely the paper-and-pencil environment (PPE) and a dynamic geometry system (DGS). The participants of this case study were two pre-service mathematics teachers, who had limited DGS experiences in solving geometry tasks. The…

This paper reflects on the design of tasks that could take profit from the new features for Automated Reasoning, recently available in the dynamic geometry program GeoGebra. We report on some ongoing experiment, involving initial mathematics teacher students, aiming to develop and evaluate the characteristics of tasks that, with the concurrence of…

This paper addresses a gap in the literature on primary student-teachers' use of graphics calculators. A group of 12 student-teachers, specialising in mathematics, engaged in a mathematical task as learners, and then adapted the task for primary pupils. Their lesson plan included graphics calculators, which the student-teachers taught to a class…