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By David Tall


Czarnocha and Prabhu respond to two separate issues. One relates to the introduction of the notion of integral using an alternative approach based on the Porter-Wallis integral building on the notion of indivisibles which they address in their paper submitted to the group, available at this link. The second issue is a more general one discussing the notion of limit. The first issue relating to their suggestion for using the Porter-Wallis integral is a beautiful piece of theoretical and empirical research relating empirical evidence from students to an earlier historical version of the integral. This was seen by the organizers of the working group as an excellent paper, with good data and theory. However, it was considered that the idea was not likely to be widely adopted in practice. The authors speak with a voice from American college calculus which has seen many experimental reform approaches that have made their mark not by a total reform of the curriculum but by maintaining a broadly traditional approach modified by the availability of new technology. In such a context, I do not believe that a specific change such as the Porter-Wallis integral, no matter what research i

Year: 2009
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