In this paper, we present the results of an experimental sequence of classroom activities on geometric transformations, proposed to high-school students. The activity is based on the use of a dynamic geometry system. Planned by a group of four people, two university professors and two research teachers, the activity has been elaborated together…

In a previous report, Neumann (2010) described the use of interactive computer-based simulations in the assessment of statistical concepts. This assessment approach combined declarative knowledge of statistics with experiences in interacting with computer-based simulations. The aim of the present study was to conduct a systematic evaluation of the…

Most teachers speak of ICT and the new possibilities that have opened up in education, in particular it is especially worth mentioning the role ICT can play in a classroom as a tool to enhance understanding of mathematical concepts, to make conjectures, economise teaching time in search of resources and to serve as a new way of communication to…

How might investigating mathematical tasks through digital media influence students' learning trajectories, and hence their mathematical thinking? This article reports on elements of an ongoing study that examines how engaging mathematical phenomena through digital pedagogical media might influence understanding. As the students sought…

This article reports on research at the crossroads of on the one hand the procedural-conceptual cut in algebra in the transition from secondary education to higher education, and on the other hand the potential of ICT. Three key topics come together: algebra didactics (symbol sense), theories on tool use (instrumental genesis) and assessment…

Starting in September 1999, new students at ETS were required to own the TI-92 Plus or TI-89 symbolic calculator and since September 2002, the Voyage 200. Looking back at these ten years of working with a computer algebra system on every student's desk, one could ask whether the introduction of this hand-held technology has really forced teachers…

Interactive computer-based simulations have been applied in several contexts to teach statistical concepts in university level courses. In this report, the use of interactive simulations as part of summative assessment in a statistics course is described. Students accessed the simulations via the web and completed questions relating to the…

We present principles for the design of an online system to support computer algebra enabled questions for use within the teaching and learning of mathematics in higher education. The introduction of a computer algebra system (CAS) into a computer aided assessment (CAA) system affords sophisticated response processing of student provided answers.…

Online homework is unable to provide the detailed feedback of paper and pencil assignments. However, immediate feedback is an advantage that online assessments provide. A research study was conducted that focused on the effects of immediate feedback; students in 5 sections of a Pre-calculus course were participants. Three sections were randomly…

This report is focused on the use of affective pointers (acknowledgements and hedges) detected in exchanges between learners and tutors on asynchronous mathematics online help sites. In this environment, both students and tutors use feedback in form of acknowledgements to control communication and assess its success. Hedges, or insecurities, point…

Computer Algebra Systems (CAS) are increasing components of university-level mathematics education. However, little is known about the extent of CAS use and the factors influencing its integration into university curricula. Pre-university level studies suggest that beyond the availability of technology, teachers' conceptions and cultural elements…

This paper discusses some of the results of a study carried out with two classes of grade 7 students (11-12 years old); the aim of the project was to design, develop, and test interactive geometry tasks for use in future research into how (or whether) interactive applets help students learn mathematics. The study tasks were developed around the…

This paper focuses on the cognitive processes that occur while students are exploring motion graphs. In a classroom experiment, we examine how high-school students (aged 17), with backgrounds in calculus and physics, interpret the graphs they create through drawing the path of the movement of their hand with a computer mouse. Based on recent, and…

This paper extends and develops theories of mathematical learning to provide a framework for the analysis of classroom video data of students working at a computer in a task aimed at increasing understanding of multiple representations of quadratic functions. Student interactions are coded using novel software tools in the process of analysis, and…

This paper argues that better understanding of the educational integration of new technologies calls for broader account to be taken of the complex ongoing practices of school mathematics education. To frame its concerns, the paper opens by drawing on key studies of the general place of technology in classroom practice and teacher thinking. The…