This article traces some of the influential ideas and motivations that have shaped a large part of the research on the use of new technologies in mathematics education over the past 40 years. Particular attention is focused on Papert's legacy, Celia's Hoyles' transformation of it, and how both relate to the current research…

The integration of digital tools in mathematics education is considered both promising and problematic. To deal with this issue, notions of "webbing" and "instrumental orchestration" are developed. However, the two seemed to be disconnected, and having different cultural and theoretical roots. In this article, we investigate…

In this research we present the use of some technologies in problem solving activities (at different secondary school grades), aimed at finding a model for a geometric configuration, and representing this model in various ways: through a construction, through a Cartesian graph, etc. The task is part of a teaching experiment, in which students used…

This theoretical study is an attempt to explore the potential of the dynamic and interactive mathematics learning environments (DIMLE) in relation to the technological pedagogical content knowledge (TPACK) framework. DIMLE are developed with intent to support learning mathematics through free exploration in a less constrained environment. A…

The present article reports a study concerning the analysis of 19 activity plans (we call them "scenarios") developed by mathematics teacher educators-in-training for the pedagogical use of digital tools. The development of these scenarios took place during their training program and was designed as an activity for increasing reflection, for…

This article describes how technology has been used to motivate the learning of mathematics for students of Sports Technology at Loughborough University. Sports applications are introduced whenever appropriate and Matlab is taught to enable the students to solve realistic problems. The mathematical background of the students is varied and the…

Studies incorporating technology into the teaching of trigonometry, although sparse, have demonstrated positive effects on student achievement. The optimal sequence for integrating technology with teacher-led mathematics instruction has not been determined. Our research investigated whether technology has a greater impact on student achievement…

In England and Wales, there has been a significant investment in technology to support teaching and learning in all subjects and school phases since the mid-1990s and a number of training models and approaches have been used, which include the development of online materials to support face-to-face sessions with expert teacher educator support.…

Technology offers ample opportunities to bring reality into the classroom. Students and teachers nowadays have many tools to work in an authentic way with real data in mathematics and science education. However, much research and development are still needed to create a consistent learning trajectory out of the many exciting single activities.…

Taking advantage of pedagogical opportunities afforded by new technology requires appropriately designed lessons. This article reports on the use of "lesson study" to research principles for the design of a lesson aiming to take advantage of multiple representations. The lesson, for year 10 students who had personal access to TI-Nspire, focused on…

The number of students studying university mathematics in the UK has been increasing gradually and linearly since 2002. At the University of Portsmouth, number of students studying mathematics doubled from 30 to 60 between 2002 and 2007, then increased by 240% in just 1 year to over 140 in 2008. This article explains how learning technology has…

A long-term project (2005-2012) was started to test the use of symbolic calculators (SCs) in Bavarian grammar schools (Germany) in Grade 10, 11 and 12. The results showed the necessity of having better diagnostics of the students' ability to understand the mathematics and their ability to work with the SC. How does a student understand particular…

In recent years, there has been a decline in the number of students aged 16-18 studying and being able to access higher level mathematics in schools in the UK. The Further Mathematics Network (FMN) was set up to enable access to such mathematics to all students and to promote and encourage students to study at this level. The FMN has pioneered the…

Following the publication of the results of a survey of classroom teachers conducted by Hyde (2004) 5 years ago, a similar, smaller scale study has been carried out by the author and a study group. The aims of the study are two-fold, firstly to assess what a small group of teachers of mathematics in the UK now consider to be the contribution of…

Students worldwide are gaining access to powerful computing devices and services. They are learning from each other how to find and share information, how to carry out useful tasks such as editing images and video, where to find the best entertainment, etc. Classrooms, especially in the UK, are changing to make better access to computer technology…