An interactive whiteboard (IWB) is a relatively new tool that provides interesting affordances in the classroom environment, such as multiple visualization and multimedia presentation and ability for movement and animation. These affordances make IWBs an innovative tool with high potential for mathematics instructional environments. IWBs can be used to focus on the development of specific mathematical concepts and to improve mathematical knowledge and understanding. The aim of this paper is to review the existing literature upon the use of interactive whiteboards (IWBs) in mathematics classrooms. The reviewed studies offer a wide view of IWBs' affordances, of the more interesting didactic practices, and of the difficulties of embedding this new technology in the classroom. The capabilities of IWBs to enhance the quality of interaction, and, consequently, to improve conceptual mathematical understanding are broadly recognized. Despite these capabilities, evidence from the studies points to a certain inertia on the part of many teachers to do anything else than use IWBs as large-scale visual blackboards or presentation tools. The emerging view of how to attempt to overcome these obstacles is that there is need for greater attention to the pedagogy associated with IWB use and, more specifically, to stimulate the design of new kinds of learning environments.

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Interactive whiteboard offers a high-potential innovative tool in mathematical educational environments, in which teachers’ modeling processes and students’ exploring activities can easily be executed. Nevertheless, these affordances are not self-evident. There is a gap between the potential claims of the tool and its actual use in the classrooms. This study investigated, through two parallel case studies, the interactive whiteboard potential in view of optimizing the exploitation of the interactive whiteboard, improving conceptual understanding, and fostering interactivity in secondary mathematics classrooms. Two main patterns for a productive interactive whiteboard use emerged: (a) a problem-solving pattern consisting of interactive whiteboard supporting problem-solving activities and (b) an organizer pattern consisting of using interactive whiteboard as a kind of advanced organizer and stimulating students’ reflection and mathematical contributions. The two patterns were used to design and teach lessons that were analyzed through the instrumental orchestration framework elaborated by Drijvers, Tacoma, Besamusca, Doorman, and Boon. Analysis showed how the interactive whiteboard acted as a useful instrument for students’ discussion and collective construction of mathematical knowledge.

This research aims at exploring an effective set to stimulate mathematics understanding and learning in an Interactive Whiteboard (IWB) environment. IWB affordances appear to be best used when mathematical tasks engage students in mathematical reasoning and when all students are involved in the discussion. The intent of this research project was to design and implement, together with a small group of teachers, a series of lessons for the purpose of developing a useful framework for effective IWB use. In a first phase, the potential of the IWB in pursuing high-level mathematical tasks and promoting classroom interactivity was discussed in depth by the teachers and the researcher. Lessons were also planned in detail. In a second phase, the planned lessons were taught in the presence of the researcher, taped by him and subsequently analysed by the researcher and the teachers. The analyses highlighted the usefulness of the IWB in (a) improving high-level mathematical tasks and (b) creating a dialogic interactive discourse for better mathematical understanding and learning. Two main patterns in productive IWB use emerge from the study. The first pattern is that the IWB promotes problem-solving activities through an intensive use of geometrical or other mathematical software. The second pattern is to use the IWB as a notepad with links to external sources, geometrical and other mathematical constructions, problems and activities, which the teacher, in collaboration with the students, 'tailors' following a thread. For both patterns, developing a strong synergy between the IWB affordances and students' interaction with it seems critical. The IWB appears as a powerful tool that allows students and teachers to alternate between different points of view and different visualisations of the same topic.