Human ecology
Mathematics for special educational needs: blindness and mathematics

Blindness and mathematics - Notes - 20/9/99

Mathematics education for people who are blind. I've tried to keep my web-pages blind-friendly - they generally don't have big images or frames. This is partly for two reasons: One of Jenny's specialities is translating mathematics into braille. I'll have a chat with her to see if there are any lines of research that they would like followed. I would like to study web-representation of mathematical texts. I've had to resort to including images in pages about mathematics. This difference between text code and image code seems to be an interesting distinction.

To get around this I been trying to convert images into different forms. Topology and graph theory seem to work quite well for webpages and database structures. I have some rough notes on graph theory, including a web of cube topology.

One of the areas we studied in astrophysics was "non-linear dynamics and chaos". This included determining whether a number stream (time-series) was periodic, chaotic or random. Some of this was done using phase-spaces and pseudo-phase spaces. (This has links to mental representations in the work of Ian Stewart and Jack Cohen and the work of Steven Pinker).

I've done various graphical representations of chaotics maps (such as the logistic map) using c++ programs - I'm now trying musical representations. Music seems to work for number streams (of real numbers and chaotic maps anyway). I've completed a midi file of the first 1024 notes of pi.

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Created 14/5/01
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