Proving that a given set is indeed a subgroup, one needs to show that it is non-empty, and closed under operation and inverses. This study focuses on the first condition, analysing students' responses to this task. Results suggest that there are three distinct problematic responses: the total absence of proving this condition, the problematic…

In recent years there has been an increased emphasis on algebraic reasoning in primary school classrooms. This includes introducing students to the mathematical practices of making conjectures, justifying and generalising. Drawing on findings from a classroom-based study, this paper explores one teacher's journey in shifting her task design and…

There is evidence for co-occurrence of social, emotional and behavioural difficulties (SEBD) and communication/language difficulties in children. Our research investigated the feasibility of vocalisation technology, its combination with observational software and the efficacy of a novel coding scheme and assessment technique. It aimed to…

The fact that language teaching can be operationalized through computer-assisted language learning (CALL) has directed researchers' attention to the learning task, which, in this case, is considered to be the unit that demands analysis of the communicative processes in which the learner is involved while working with CALL. Research focuses on…