How on earth have we missed JSXGraph?
See http://jsxgraph.uni-bayreuth.de/wp/documentation/ and http://jsxgraph.uni-bayreuth.de/wiki/index.php/Category:Examples
I will test the scripts with moodle as soon as possible (today) and report back - my first impression is very positive...
The error is probably caused by your AsciimathML script and you need to set
var translateLaTeX = false;
so that $ delimiter of LatexMathML does not conflict with jQuery $...
I think the best way to avoid these conflicts is to create an external activity and push graphs through this activity embedded to iframe or object tag ... with filter.
On the other hand it might be better to use other delimiter than single dollar in LatexMathML because jQuery can be used for so many other things and such conflicts should never exist...
But there is also a IE8 bug in that script and IE8 needs to be in compatibility mode...or the page must force compatibility mode for IE8...or...
Otherwise as a proof of concept I disabled translateLaTeX from my test mediawiki and added one notation with double @:s instead of single dollars:
http://korpelainen.net/mediawiki/index.php/JSXGraph
I think I will use a similar structure for moodle and the idea of using http://jsxgraph.uni-bayreuth.de/wiki/index.php/Displaying_GEONExT_constructions with http://geonext.uni-bayreuth.de/index.php?id=2453 is very similar as adding or creating offline Geogebra files.
We need just that new activity or filter for moodle to add either graphs or graph files like in multimedia filter.
I did exactly the same and placed the script and css tags to MonoBook.php (skin) but also created the extension file. I thought that extension file was necessary for parsing those <jsxgraph...> tags but tried to avoid using twice the script tags and in addition to this prototype.js and jQuery js file can parse the same tags so one of them is enough.
It is also possible to use (with some extra attributes like alt, title, class, width, height) tags like
math/ ... /math
graph/ ... /graph
or
amath/ ... /amath
bmath/ ... /bmath
mathtran/ ... /mathtran
mimetex/ ... /mimetex
or
asvg/ ... /asvg
gcharts/ ... /gcharts
jsxgraph/ ... /jsxgraph
or Mathtran method <img alt="tex:x^2+y^2=1" /> without src attribute and let mathTran use tex and other types of maths could be recognized from alt tag (other than tex) and changed to either graphs or other tags (images or other embedded code)
and so on in filters instead of $, ` or @ characters that seem to be used for different purposes in different scripts and applications, editor does not like < or > and wiki does not like [ or ]
I could write a common graph filter for all graph types (current and future graphs) or I could modify TeX filter to common math filter that parses all possible tags that exist - exept algebra filter that can parse those double @:s with perl also in the future. It's easy to change my AM.js double @:s to some characters... 
I am planning to use jQuery in many places in the future (in themes and widgets) so single dollars can be a major problem if separate latexmathml script parses the "running code" of jQueries.
This is a nice and fresh article about future plans - http://www.svgopen.org/2009/papers/14-Interactive_SVG_with_JSXGraph/#d4e77
Note 1: Support for reading GeoGebra files directly is under development in cooperation with the GeoGebra developer team... the code should look like this but it did not seem to work yet.
<div id="box" class="jxgbox" style="width:500px; height:500px;"></div>
<script type="text/javascript">
var b2 = JXG.JSXGraph.loadBoardFromFile('box', 'myfile.ggb', 'Geogebra');
</script>
And the best part of jsxgraphs is that it supports all major browsers without any extra plugins.
Note 2: the same document tells: "To ease the integration of JSXGraph into other web applications we provide some plugins for a couple of them. Those are the blogging software Wordpress[15], the basis software for Wikipedia called MediaWiki[16], and the course management system Moodle[17]. The plugin for the latter one ist still experimental. " - I wonder where we could get it, should we ask from University of Bayreuth Department of Mathematics?
I tried last night the experimental filter that is found from jsxgraph sourceforge svn https://jsxgraph.svn.sourceforge.net/svnroot/jsxgraph/branches/0.80_bianca/plugins/
It's not yet fully functional and needs to be further developed - but it's a good start.
David's suggestion about using spans like <span class="AM">...</span> is a good option. It also allows using filter(s) outside editor and javascript in editor plugins (TinyMCE) directly for selecting, changing and editing maths and graphs - like using img tags (Mathtran style).
If we want to use both dollar tokens and jQuery we probably need to separate them and use jQuery only in widgets - for example in external embedded documents - or avoid using single dollars in pages that use jQuery. For graphs this is OK, for maths all extra tags cause trouble if people can somehow add other tags inside given tags and break for example spans like this...therefore a single img tag with several classes could be a neat option. Maybe something universal like
<img class="AM" title="math or graph code" [alt="tags for blind"] /> (without src attribute and if alt tag is not given alt tag could be parsed from title)
that could be parsed both with filters or javascripts to actual images,MathML,SVG,VML,scripts etc.
For example
<span class="AM">`alpha+beta`</span> could as well be
<img class="AM" title="alpha+beta" /> or if we need optional alt tag for screen readers it could be
<img class="AM" title="alpha+beta" alt="alpha plus beta" />
which is of course much longer than simple `alpha+beta` but gives some extra benefits and if tags can be normally given with editor plugins users would see the actual result immediately. Still no existing old tags are broken
or
<span class="JSXG">graph code here</span>
or
<img class="JSXG" title="graph code here" />
or
<img class="JSXG" title="graph code here" alt="description of graph for blind" />
File tags like
<jsxgraph height="200" width="400" board="board1" box="jxgbox" filename="myFile.gxt" /> could be given with
<img class="JSXG" title="file:myFile.gxt height:200 width:400 board:board1 box:jxgbox" /> or
<img class="JSXG" title="f:myFile.gxt h:200 w:400 board:board1 box:jxgbox" /> or ...
Class allows any future math/graph types. Extra tags like width or height could be given either in style attribute or graph/math tags but creating this kind of universal graph&math filter requires quite a lot of work... ... so for a while I will let each script and filter do what they want to do and just test the editor plugins next...
One note I forgot to mention is the capability to use for example asciimathml inside jsxgraphs.
It is possible right now but one major problem is that graph code is loaded only once and if graph itself is changed with sliders etc asciimathml code does not follow because no script refresh code is ran - it could be possible to combine javascript functions that render asciimath or tex tags to functions of jsxgraph scripts to make sure that graphs refresh/render also the asciimathml/tex etc code or it is possible to leave mathematical notations outside the actual graphs and use css ("layers" and positioning) like we did with asciisvg and asciimathml.
One way to help parsing in filter could be also separating class of jsxgraph script tags and file tags - for example
<img class="JSXGF" title="myFile.gxt,200,400,board1,jxgbox" />
so that tags like
<img class="JSXG" title="graph code here" />
could parse script code directly from title attribute and class JSXGF could use different rules. With given default settings adding gxt graphs could look this simple:
<img class="JSXGF" title="myFile.gxt" />
Nice to see you here, Alfred!
I sent you just an email - is it possible to test that plugin you have developed for moodle - if it's experimental we (Marc and I) are perfect testers...
Thank You, Alfred!
JSXGraphs are in my opinion the best available open source tool for adding quality vector graphs to web pages. You have a great team and have done a super good job with these scripts. I believe we can help you in integration of code to moodle, additional plugins and testing. At least I am eager to use a lot of my time and energy for these excellent tools.
Please keep us informed about your future plans and changes in code.
Regards,
Mauno
We will have a new row of icons in that "advanced maths editor" in moodle 2.0 - 
If we use a common administration (either with filter settings or if Petr finds a nice way to add custom editor settings) users will be able to choose which tools they want to use and we can offer 20 different optional tools if we want.
Thank you for the link, Ramon,
they are all great projects and cooperation between open source and commercial projects is always a good thing - and it's really good to see a large team of universities solving the same task... bringing maths and graphs alive, easy-to-use and available in our world wide web.
Setting back
var translateLaTeX = true;
in Asciimathml files seems to work ok with version 0.80 files
Thank You Alfred!
"It is doing all the same things (with some bug fixes) as previous script..."
Well not quite - different fallback renderers use different syntax and in this case I used several hours to figure out that google chart Api fails to render classic asciimathml matrices like `((1,2),(3,4))`using the same code that MathTex successfully renders - so the smartest thing to do is to use different files for different renderers and not even try to put all that code to one file...
I started to split previous code to smaller "subscripts" and should modify next the input/output variables for each subscript.
AsciiMathML and AsciiSVG are separated to different scripts (like they originally were) and I will probably split all IE stuff to different scripts soon too.
Attached an input/output example about the reason for different scripts:
1) \left(\begin{array}{ccc} 1 & 2\\3 & 4\end{array}\right) (Google Chart API png image)
2) \left(\matrix{1&2\cr3&4}\right) (MathTran png image)
3) $\left(\begin{array}{cc} 1 & 2\\3 & 4\end{array}\right)$ (LatexMathML / MathML)
4) GeM\left(\begin{array}{cc}1&2\\3&4\end{array}\right)GeM (Forced fallback to TeX Live with cgi MathTex)
5) $$ \left(\begin{array}{cc}1&2\\3&4\end{array}\right) $$ (Same code and doubledollars / TeX filter with MiKTeX and on the left side here in moodle.org with TeTeX)
6) `((1,2),(3,4))` (AsciiMathML / MathML)
7) Plugin graph (AsciiSVG plugin)
8) Script Graph (JSXGraph)
...
Well...in most cases you won't need both AsciiMathML and AsciiSVg - you will need either maths or graphs. If you want to use only asciimath with JSXGraphs you may not want to load AsciiSVG - or you may want to use 2 different versions of AsciiSVG (old style and plugin style) with different variables but want to use only TeX with TeX filter...
It is possible to collect all options to one mega script or split scripts to smaller tasks and move some tasks for example to php scripts. If we want to use configurable settings it is easier to use php for settings and remove most variables from javascript:
AM1.php - settings for AM
AM1.js - javascript functions for AM
AS1.php - settings for AS
AS1.js - javascript functions for AS
If we want we can split AM1.js to 2 smaller scripts - MathML and fallback parts - and load only MathML script for FF and fallback script without MathML parts for other browsers.
If we want we can split AsciiSVG to 2 smaller scripts - fallback parts for IE only and SVG parts of other browsers.
Then we can use browser detection and set IE directly to load only settings and IE functions without 100 tests if (isIE) {...} ... or if (ASnoSVG) {...} and do the same for FF and other browsers which means probably 3 scripts:
IE.php (all fallback & png or VML)
FF.php (MathML & SVG)
Webkit.php (fallback & SVG)
What do you mean, Marc, by "...if we are not going to be able to use jsxgraph without including JavaScript tag..." ?
I suppose we might be able to use GeoNext applets for addings tags, we might be able to use filters to replace applet strings with graphs, we might be able to create a filter for addings jsxgraph (script) tags, we might be able to create an editor plugin for adding jsxgraphs just like in AsciiSVG plugin...?
Or we might be able to combine best features of AsciiSVG and JSXGraphs and some math renderer (Google Chart API?) together with Dragmath to one simple plugin or two simple plugins that output graphs and maths as vector graphics and MathML/fallback images that are editable and visible in editor, more accessible for screen readers and have the most common functions for school use - but not all the features of different renderers.
Or we might be able to select default renderer from administration menu ($CFG->... given by math filter settings ) and let script select different input and output values according to this setting - or we might be able to do the same with some classes or class names without tokens and delimiters or with tags like
math/ AM ...tags here... /math
graph/ JSX ...tags here... /graph
( or why not as well math/ JSX ...tags here... /math for graphs too if we had just one mega filter for all kinds of maths and graphs - no more worries about dollars etc ... but dollars, backticks and other old stuff could still be used like before)
If we think about original javascripts by Peter and David and other environments (CMS) it may be good to keep all features in one javascript. I think we can use both splitted scripts and a collection script.
We might also be able to create some new activity (module or blocks) to use maths without script tags, theme meta tags etc - it has been the direct route for testing things but we have most likely not yet tested all possible features of moodle. My main interest is in moodle 2.0... but to be honest we may need some more people interested in testing things, giving feedback and writing that code.
I am above all a teacher - not a developer - so any people working in universities and funded projects are wellcome to help. And yet - even if nobody else had any use for these scripts - it has been really nice - a pleasure and privilege - to study things, think up ideas and work with you, Marc, to produce something that might be useful for schools and other math teachers and students (from all levels of education)
I have been cooking apple jam recently... check your gmail, Marc...
Of course we will continue with this but my capablity to create new code means that stable version of plugins might be out after 10 years - without help from people like Alfred, Matthias and particularly you and your feedback.
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