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Published 2011 Revised 2016
In July 2005 the NRICH website based a large number of its monthly problems around an interactive circular geoboard environment inspired by the ideas of Geoff Faux (1). That month's publication, based around an exploratory environment, reflects one of the ways in which the NRICH project is developing and changing its focus. In the past, the majority of problems were written so that they
could be used as a vehicle for consolidating and/or applying knowledge in a range of contexts. We wish our pupils to be proficient and confident in solving problems of this type and we will continue to offer such challenges. Over the last year or so we have also started to include problems that offer opportunities to learn new mathematics. Interactive environments, like Geoboards, can act as a
focus for such learning.
These types of interactivities have great potential as a resource in their own right, enabling problem posing by their users, as well as being used in conjunction with the problems we offer on the site. In this article we discuss what we hoped for when we published the environment and our vision for the future in terms of the creation and use of similar learning contexts (2) .
There are three major ways in which we imagine the environment and problems being used by teachers, and we list them here in order of the level of independence:
Figure 2