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By the year 2020, we are likely to have seen two major revolutions in mathematics education. Videogame technology will bring an understanding of mathematics to children in the affluent western societies who do not respond to current teaching methods. At the other end of the economic spectrum, cheap mobile phones will deliver instruction in basic quantitative skills to the millions in the developing world for whom the mobile phone is the only programmable computing device in the home. Both revolutions require taking a fresh look at the nature of mathematics and how it can be taught.