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
- i. It makes the pages easier to browse - I hate waiting for
pointless images to load or not being able to bookmark a page within
- ii. My sister, Jenny, works for the RNIB translating documents
into braille. More about this: No fancy graphics
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
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
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