The initial training of mathematics teachers in Spain can start in the final year of the mathematics degree when the students, and future teachers, select courses related to teaching the discipline. At that time, since over the next two years they will probably be certified to enter the profession, it is worth asking oneself what mathematical…

This article investigates how engaging students to discuss topics that reflect their ideologies in lingua franca (LF) virtual exchanges can help facilitate global citizenship development. A six-week virtual exchange is explored with students from universities in Mexico, Poland, Spain, and the USA. This study utilizes five key elements of…

This paper presents an intelligent tutoring system (ITS) for the learning of arithmetical problem solving. This is based on an analysis of (a) the cognitive processes that take place during problem solving; and (b) the usual tasks performed by a human when supervising a student in a one-to-one tutoring situation. The ITS is able to identify the…

The Spanish educational system will require certain changes in order to achieve the Bologna objectives for the European Higher Education Area, including a more professional profile, with new activities and roles for both students and teachers, who must assume new skills that will affect concepts and attitudes related to the teaching and learning…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…