Since the publication of this chapter, Jim Kaput was killed in a tragic road accident. We have all lost an energetic, visionary and dedicated colleague. Mathematics Education research has lost one of its greatest exponents, a researcher who not only understood the world of education, but knew how to change it. His theoretical work on the evolution of notational systems – much of it presented by him in this article – as well as his practical contribution, most recently through SimCalc, is living testimony to the importance and impact of his work. And we have lost a friend: a friend with a wonderful sense of humour and wit, a vibrant sense of fun, and an inspired intelligence. We will miss him. CH/RN Not for the first time we are at a turning point in intellectual history. The appearances of new computational forms and literacies are pervading the social and economic lives of individuals and nations alike. Yet nowhere is this upheaval correspondingly represented in educational systems, in classrooms, or in school curricula. As far as mathematics is concerned, the massive changes t
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