# [BlindMath] Geometry help

Shelley Mack smackbrl at gmail.com
Sun Feb 12 19:10:35 UTC 2023

```I agree with much of what John says here, except that I don't think this
holds true for someone just starting out with a new geometric concept. For
a typical high school Geometry student, I would suggest that they have the
tactile graphics they need until they understand the concept. As a basic
example, once a student knows that the interior angles of a triangle add up
to 180, is it necessary for me to draw each triangle for them to find a
missing angle? Not likely. But John is correct for higher mathematics,
especially regarding 3-D tactile graphics. I've cut up countless styrofoam
shapes for my students until they understand a concept. Then the shapes
don't seem to be necessary. As to a student drawing geometry themselves,
I've had a couple who really enjoyed it and did quite well using various
APH materials. Others didn't care for it and didn't seem to get anything
mathematical out of the process. Good luck to the student of the original
poster!

On Sun, Feb 12, 2023 at 12:02 PM John G. Heim via BlindMath <
blindmath at nfbnet.org> wrote:

> Well, its not really an answer to the original question but one way to
> do geometry is to see it in your mind. In fact, in geometry, once you
> get beyond 2 dimensions, you're mostly doing it in your mind whether you
> can see or not. A math text book might make some attempts to show
> pictures of 3 dimensional objects, for example when showing how to
> calculate the volume of a sphere, but mostly that is left to the
> imagination of the student. When you get into the geometry of complex
> numbers, you might put the formulas on paper but you wouldn't attempt to
> draw the solution. And, of course, at higher levels, objects beyond 3
> dimentions are always imagined in one's head. Multi-dimentional geometry
> is a big deal these days because it is used in areas of physics like
> super string theory and super gravity theory.
>
> My experience is that having to draw geometric figures is a liability.
> Some time ago I proposed a geometry problem on a chat list for
> mathematicians and the onese who did it in their head were much more
> successful than those that insisted in drawing it. Of course, I invented
> the puzzle myself and solved it without drawing it.
>
> Again, it doesn't really answer the original question it's just that I'm
> uncomfortable saying you can't do geometry without a physical model. If
> you get far enough in math, you have to do that.
>
>
> On 2/11/23 18:11, John Gardner via BlindMath wrote:
> > The important message here is that you need to see the image to do
> geometry. If you cannot see it visually, you need to see it with your
> fingers. None of your present tools give an image. So you cannot do
> geometry with these tools.
> >
> > -----Original Message-----
> > From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Robert
> Jaquiss via BlindMath
> > Sent: Saturday, February 11, 2023 2:56 PM
> > To: 'Blind Math list for those interested in mathematics' <
> blindmath at nfbnet.org>
> > Cc: rjaquiss at earthlink.net
> > Subject: Re: [BlindMath] Geometry help
> >
> > Hello:
> >
> >       There are three solutions I can think of:
> > 1. APH sells the Draftsman system for creating raised line images. There
> are accessories that when used with the Draftsman allow the user to draw
> precise images. A student should be able to complete his/her homework or an
> aide can copy drawings from a board.
> > 2. The SwellForm machine with SwellTouch paper from American Thermoform
> allows sighted teachers or aides to draw or copy images onto SwellTouch
> paper. When the SwellTouch paper is processed by the SwellForm machine, any
> black areas will raise.
> > 3. ViewPlus Technologies sells embossers capable of creating raised
> images.
> > Hope this helps.
> >
> > Regards,
> >
> > Robert
> >
> >
> >
> > -----Original Message-----
> > From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Sonya
> Lawrence via BlindMath
> > Sent: Saturday, February 11, 2023 5:31 AM
> > To: blindmath at nfbnet.org
> > Cc: Sonya Lawrence <sflawrence1 at gmail.com>
> > Subject: [BlindMath] Geometry help
> >
> > Hello:
> > I am interested in obtaining an accessibility plan to share with my
> son’s  school to support his learning in a High School Geometry class.  He
> calculator. Unfortunately, no one seems to know how to use these or other
> tools to make graphs, charts, angles, and other geometry activities
> meaningfully accessible to him. I appreciate your help.
> >
> > Sonya
> > Sent from my iPhone
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> --
> John .G. Heim
> jheim at math.wisc.edu
>
>
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