From static to dynamic mathematics

Educational Studies in Mathematics recently published an article called: “From static to dynamic mathematics: historical and representational perspectives“. The article is written by Luis Moreno-Armella, Stephen J. Hegedus and James J. Kaput. The point of departure for this article is the issue of new digital technologies, their capacities, issues concerning design and use of them, etc. They build upon one of Kaput’s works on notations and representations, in order to:

(…) present new theoretical perspectives on the design and use of digital technologies, especially dynamic mathematics software and “classroom networks.”

In the article they present some interesting perspectives on the historical development on media, from static to dynamic, and they discuss some dynamical perspectives related to variation and geometry (dynamic geometry, like Cabri, Geometer’s Sketchpad, etc.). Here is the abstract of this interesting article:

The nature of mathematical reference fields has substantially evolved with the advent of new types of digital technologies enabling students greater access to understanding the use and application of mathematical ideas and procedures. We analyze the evolution of symbolic thinking over time, from static notations to dynamic inscriptions in new technologies. We conclude with new perspectives on Kaput’s theory of notations and representations as mediators of constructive processes.
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