[Blindmath] Accessible display format for matrices

Sina Bahram sbahram at nc.rr.com
Tue Nov 15 18:22:07 UTC 2011


This is one case in which you don't want to do accessible headers or anything. This is a straight up data table, no column headers,
no "th", no "thead" or "tfoot".

So, I'd suggest this layout.

Note: matrix is a class I've just assumed would be helpful in your CSS to control the presentation. I'd also recommend matrixRow and
even matrixCell as classes to put on the tr and td. One nice thing for sighted presentation is to alternate background colors of
rows in tables so as to allow for easy tracking across rows without column slippage. Yes, it turns out sighted people have usability
needs too, *grin*.

I'll be happy to write you a webpage that will take a matrix as plain text, and spit out this code for you. just ask.

<table class="matrix">
<tbody>

<tr class="matrixRow">
<td class="matrixCell">1</td>
<td class="matrixCell">2</td>
<td class="matrixCell">3</td>
</tr>

<tr class="matrixRow">
<td class="matrixCell">4</td>
<td class="matrixCell">5</td>
<td class="matrixCell">6</td>
</tr>

<tr class="matrixRow">
<td class="matrixCell">7</td>
<td class="matrixCell">8</td>
<td class="matrixCell">9</td>
</tr>

</tbody>
</table>

Try that sucker out, and decorate it with some CSS for a very nice looking matrix.

Take care,
Sina

-----Original Message-----
From: blindmath-bounces at nfbnet.org [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Richard Baldwin
Sent: Tuesday, November 15, 2011 1:08 PM
To: john.gardner at orst.edu; Blind Math list for those interested in mathematics
Subject: Re: [Blindmath] Accessible display format for matrices

Hi John,

Welcome to the discussion. I hadn't considered a table but I see your
point. This is exactly the reason that I brought this topic up for
discussion. Considering that I will be investing a lot of time and effort
in creating the class notes for the course, I want to start off on the
right foot and try to get it right the first time.

I'm going to jump off to the side here and see what NVDA does with a 3x3
table of values.

Dick Baldwin

On Tue, Nov 15, 2011 at 11:57 AM, John Gardner <john.gardner at orst.edu>wrote:

> Dick, I think this would be a poor choice.  Personally I believe that for
> anything at all complicated, most users will need to be able to navigate by
> cells both horizontally and vertically.  An html table is ideal, because
> one
> can do that with any screen reader.
>
> And those who want a text file can just copy that table and copty into
> notepad.  Presto, Ken has his wish.
> John
>
>
> -----Original Message-----
> From: blindmath-bounces at nfbnet.org [mailto:blindmath-bounces at nfbnet.org]
> On
> Behalf Of Richard Baldwin
> Sent: Tuesday, November 15, 2011 9:50 AM
> To: Blind Math list for those interested in mathematics
> Subject: Re: [Blindmath] Accessible display format for matrices
>
> I am assuming that the blind student can scroll up and down through the
> rows using the up and down arrow keys, encountering only three values with
> each press of the arrow key.
>
> Another alternative would be to put all nine values for a 3x3 matrix on the
> same line with some sort of delimiter to indicate that each group of 3
> values represents a row.
>
> However, there is a problem with this also. Despite the need to accommodate
> blind students in the course, I must also make certain that I accommodate
> the needs of sighted students. Sighted students are accustomed to seeing
> matrices written in rows and columns and all of the textbooks present
> matrices in that format. I must use a format that works for both the blind
> students and the sighted students, which is one of the reasons that I like
> this approach. It should work for blind students and it looks nominally
> correct for sighted students. Not ideal for either but adequate for both.
>
> Dick Baldwin
>
> On Tue, Nov 15, 2011 at 11:29 AM, Ken Perry <kperry at blinksoft.com> wrote:
>
> >
> >
> > The good part is if you have it in this kind of form and the student has
> > another form he or she likes better its not hard to reparse this.
> >
> > Ken
> >
> > -----Original Message-----
> > From: blindmath-bounces at nfbnet.org [mailto:blindmath-bounces at nfbnet.org]
> > On
> > Behalf Of Richard Baldwin
> > Sent: Tuesday, November 15, 2011 12:21 PM
> > To: Blind Math list for those interested in mathematics
> > Subject: Re: [Blindmath] Accessible display format for matrices
> >
> > Great! This makes it work. Now when I tab into the first row of the
> matrix,
> > I hear three bar nine bar eight. Given an announcement that a matrix
> > follows, a blind student should be able to mentally separate the columns
> > and
> > the rows without having to space through the characters individually.
> >
> > This scheme, or something very similar is what I will probably use.
> >
> > Thanks,
> > Dick Baldwin
> >
> > On Tue, Nov 15, 2011 at 9:26 AM, Icewolf <icewolf2011 at gtwebdesign.us>
> > wrote:
> >
> > > Hello,
> > > I don't have my copy of NVDA up at the moment.  To change the
> > > punctuation
> > > level:
> > > 1.  From the desktop press NVDA(insert key) plus n.  This will get you
> > > into NVDA's settings.
> > > 2.  Arrow down to preferences, then arrow right into the menu.
> > > 3.  Arrow down till you hear, or see, the voice settings option and
> > > then press enter.
> > > 4.  Once in this dialog box tab around till you see or hear the
> > > punctuation option.  This will be a combo box.
> > > 5.  Arrow up and down through the choices.  I believe they are none,
> > > some, most, and all.
> > > 6.  Choose all then tab to ok and press enter.
> > > There might be a way to do this on the fly without having to go into
> > > the preferences menu, but I am still a novice at NVDA and don't know it
> > yet.
> > > Hope this helps,
> > > Greg W.
> > >
> > > Yesterday is forever gone, tomorrow may never come, today is the day
> > > of all days.
> > >
> > >
> > >
> > > On 11/15/2011 9:47 AM, Richard Baldwin wrote:
> > >
> > >> Ken,
> > >>
> > >> You wrote: "Did you turn punctuation to all before trying this?"
> > >>
> > >> I'm a novice at using NVDA.
> > >>
> > >> How do I make that setting?
> > >>
> > >> Thanks,
> > >> Dick Baldwin
> > >>
> > >> On Tue, Nov 15, 2011 at 8:35 AM, Ken Perry<kperry at blinksoft.com>
> >  wrote:
> > >>
> > >>  Did you turn punctuation to all before trying this?
> > >>>
> > >>> ken
> > >>>
> > >>> -----Original Message-----
> > >>> From: blindmath-bounces at nfbnet.org [mailto:blindmath-bounces@**
> > >>> nfbnet.org <blindmath-bounces at nfbnet.org>] On Behalf Of Richard
> > >>> Baldwin
> > >>> Sent: Tuesday, November 15, 2011 9:26 AM
> > >>> To: Blind Math list for those interested in mathematics
> > >>> Subject: Re: [Blindmath] Accessible display format for matrices
> > >>>
> > >>> This approach works pretty well with NVDA as long as there is an
> > >>> announcement immediately before the matrix that a matrix follows.
> > >>> This is needed so the student will know to use the right and left
> > >>> arrow keys to step through the matrix elements. When the down arrow
> > >>> is used to enter the matrix, NVDA simply speaks 398 with no
> > >>> acknowledgement of the bars (or semicolons either);
> > >>>
> > >>> Dick Baldwin
> > >>>
> > >>> On Tue, Nov 15, 2011 at 7:14 AM, Ken Perry<kperry at blinksoft.com>
> >  wrote:
> > >>>
> > >>>  I know everyone on here will cringe but in truth this is how I
> > >>> would
> > >>>> want it but again I like using just a text editor and this way
> > >>>> seems to work great with jaws for me. This is just a simple page
> > >>>> with a 3 by
> > >>>> 3 matrix.  It has the bars because<pre>  elements don't get
> converted.
> > >>>>
> > >>>> <html>
> > >>>> <body>
> > >>>>  <H1>A Matrix</h1>
> > >>>>  <pre>
> > >>>>  3 | 9 | 8
> > >>>>  4 | 6 | 5
> > >>>>  6 | 4 | 8
> > >>>>      </pre>
> > >>>> </body>
> > >>>> </html
> > >>>>
> > >>>> -----Original Message-----
> > >>>> From: blindmath-bounces at nfbnet.org
> > >>>> [mailto:blindmath-bounces@**nfbnet.org
> > >>>> <blindmath-bounces at nfbnet.org>] On Behalf Of Richard Baldwin
> > >>>> Sent: Tuesday, November 15, 2011 8:03 AM
> > >>>> To: Blind Math list for those interested in mathematics
> > >>>> Subject: Re: [Blindmath] Accessible display format for matrices
> > >>>>
> > >>>> Thanks Ken,
> > >>>>
> > >>>> So far, that seems to be the most accessible option. I suppose I
> > >>>> could style the matrices as<pre>xx</pre>  and put them in XHTML
> > >>>> tables. That should make them accessible to a screen reader and
> > >>>> also make them look reasonable for the sighted students in the
> > >>>> course. Maybe there is a unicode character that could be used to
> > >>>> create the vertical bars that typically appear on printed matrices.
> > >>>> If so, I wonder how a screen reader would treat those characters.
> > >>>>
> > >>>> Other suggestions are welcome.
> > >>>>
> > >>>> Thanks,
> > >>>> Dick Baldwin
> > >>>>
> > >>>> On Tue, Nov 15, 2011 at 6:47 AM, Ken Perry<kperry at blinksoft.com>
> > >>>>  wrote:
> > >>>>
> > >>>>  When I did my matrix class back in the early 90's I used a text
> > >>>>> editor and an old laptop calculator called Xplore.  The calculator
> > >>>>> still exists but the newest version is not that accessible. I
> > >>>>> would just type the matrix out in a text editor and space the
> > columns.
> > >>>>> That way when I  wanted two add two rows I would block one row and
> > >>>>> put it under the other and move things around.  I know that is not
> > >>>>> pretty but it gave me a good feel of how the sighted folks did it.
> > >>>>> I got to the point where I could do up to 2 4 by 4 matrixes in my
> > >>>>> head only writing down values as I multiplied them or if I was
> > >>>>> trying to solve them.  It would take a bit of work to get back to
> > >>>>> that point now but all I am saying is don't give up on the simple
> > >>>>> text editor  it sometimes is nice to be able to easily see all the
> > >>>>>
> > >>>> numbers in a row at a time.
> > >>>
> > >>>> Ken
> > >>>>>
> > >>>>>
> > >>>>> -----Original Message-----
> > >>>>> From: blindmath-bounces at nfbnet.org
> > >>>>> [mailto:blindmath-bounces@**nfbnet.org
> > >>>>> <blindmath-bounces at nfbnet.org>] On Behalf Of Richard Baldwin
> > >>>>> Sent: Tuesday, November 15, 2011 6:53 AM
> > >>>>> To: Blind Math list for those interested in mathematics
> > >>>>> Subject: Re: [Blindmath] Accessible display format for matrices
> > >>>>>
> > >>>>> Hi Pranav,
> > >>>>>
> > >>>>> Thanks for the input. I understand how a spreadsheet can be used
> > >>>>> for doing matrix computations. The main thing that I am looking
> > >>>>> for is the most accessible display format. For example, MathML can
> > >>>>> be used to create beautiful matrix equations in an HTML page.
> > >>>>> Beautiful, that is, for sighted students. However, NVDA becomes
> > >>>>> silent when it encounters MathML in a web page. I don't have a
> > >>>>> copy of Jaws, so I don't know how it reacts to MathML in a web
> page.
> > >>>>>
> > >>>>> Most normal equations can be handled in an accessible manner by
> > >>>>> writing them on a single line using programming format. Matrix
> > >>>>> equations, on the other hand typically require three or four lines.
> > >>>>> I wondering how to configure those three or four lines in such a
> > >>>>> way that a blind student can make sense of them.
> > >>>>>
> > >>>>> Thanks,
> > >>>>> Dick Baldwin
> > >>>>>
> > >>>>> On Tue, Nov 15, 2011 at 4:11 AM, Pranav Lal<pranav.lal at gmail.com>
> > >>>>>
> > >>>> wrote:
> > >>>>
> > >>>>> Hi Richard,
> > >>>>>>
> > >>>>>> I have worked a bit with matrices. At the time I did, a
> > >>>>>> spreadsheet was the solution I chose. I could add rows and
> > >>>>>> columns without a fuss and they were accessible. Excel is the
> > >>>>>> tool to go for in windows. No special tool is required.
> > >>>>>>
> > >>>>>> On 11/15/11, Richard
> > >>>>>> Baldwin<baldwin at dickbaldwin.**com<baldwin at dickbaldwin.com>>
> > >>>>>>  wrote:
> > >>>>>>
> > >>>>>>> I will be teaching the following course for the first time in
> > >>>>>>> the Spring
> > >>>>>>> 2012 semester.
> > >>>>>>>
> > >>>>>>> GAME 2302 - Mathematical Applications for Game Development
> > >>>>>>> (3-3-1) Presents applications of mathematics and science in game
> > >>>>>>> and simulation programming. Includes the utilization of matrix
> > >>>>>>> and vector operations, kinematics, and Newtonian principles in
> > >>>>>>> games and simulations. Also
> > >>>>>>>
> > >>>>>> covers
> > >>>>>>
> > >>>>>>> code optimization.
> > >>>>>>>
> > >>>>>>> The course must be accessible for blind and VI students. Even if
> > >>>>>>> there
> > >>>>>>>
> > >>>>>> are
> > >>>>>>
> > >>>>>>> accessible textbooks at the college level covering these topics
> > >>>>>>> (which I
> > >>>>>>> doubt) it is far too late to adopt a new textbook for the course.
> > >>>>>>>
> > >>>>>>> I really need suggestions from those who teach mathematics and
> > >>>>>>> blind students who study mathematics regarding the most
> > >>>>>>> accessible formats for presenting matrix equations.
> > >>>>>>>
> > >>>>>>> If special reader software is required (beyond a standard screen
> > >>>>>>>
> > >>>>>> reader), I
> > >>>>>>
> > >>>>>>> need to know that also.
> > >>>>>>>
> > >>>>>>> Thanks in advance.
> > >>>>>>> Dick Baldwin
> > >>>>>>>
> > >>>>>>> --
> > >>>>>>> Richard G. Baldwin (Dick Baldwin) Home of Baldwin's on-line Java
> > >>>>>>> Tutorials http://www.DickBaldwin.com
> > >>>>>>>
> > >>>>>>> Professor of Computer Information Technology Austin Community
> > >>>>>>> College
> > >>>>>>> (512) 223-4758
> > >>>>>>> mailto:Baldwin at DickBaldwin.com
> > >>>>>>> http://www.austincc.edu/**baldwin/<http://www.austincc.edu/baldw
> > >>>>>>> in/> ______________________________**_________________
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> > >>>>>> 40
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> > >>>>>
> > >>>>> --
> > >>>>> Richard G. Baldwin (Dick Baldwin)
> > >>>>> Home of Baldwin's on-line Java Tutorials
> > >>>>> http://www.DickBaldwin.com
> > >>>>>
> > >>>>> Professor of Computer Information Technology Austin Community
> > >>>>> College
> > >>>>> (512) 223-4758
> > >>>>> mailto:Baldwin at DickBaldwin.com
> > >>>>> http://www.austincc.edu/**baldwin/
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> > >>>>>
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> > >>>> --
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> > >>>> Home of Baldwin's on-line Java Tutorials http://www.DickBaldwin.com
> > >>>>
> > >>>> Professor of Computer Information Technology Austin Community
> > >>>> College
> > >>>> (512) 223-4758
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> > >>>> http://www.austincc.edu/**baldwin/
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> > >>> --
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> > >>>
> > >>> Professor of Computer Information Technology Austin Community
> > >>> College
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> >
> > Professor of Computer Information Technology Austin Community College
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> Richard G. Baldwin (Dick Baldwin)
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>
> Professor of Computer Information Technology
> Austin Community College
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-- 
Richard G. Baldwin (Dick Baldwin)
Home of Baldwin's on-line Java Tutorials
http://www.DickBaldwin.com

Professor of Computer Information Technology
Austin Community College
(512) 223-4758
mailto:Baldwin at DickBaldwin.com
http://www.austincc.edu/baldwin/
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