[BlindMath] Geometry help

Maylene Bird maylenebird at gmail.com
Sat Feb 18 12:28:35 UTC 2023


I teach geometry to students who are visually impaired.  Great suggestions
already.  Below is a list of tools I use:

APH Mathbuilders Unit 6 (Aph.org)
APH Graphic Aid for Mathematics
3-dimensional figures more complex ones)
APH Draftsman (already mentioned)
Wiki Stix (already mentioned )
Geometro figures (some are in the Unit 6 kit)
Pre-made tactile diagrams  as needed
Braille geometry book to use diagrams (I have an old one I could give
you-in about 10 boxes-Holt from maybe 2006)

I follow/use a textbook, but I know many schools do not which makes
learning math difficult unless the student receives the lessons in a timely
manner and examples.

There is a Velcro board and Velcro “lines” in the APH Unit 6 kit.  I use
that to quickly throw together parallel lines (or not)  cut by a
transversal to teach all the kinds of angles formed. It works well.

I hope this helps.  I did not mention computer generated graphics because
it’s already on here.
Sincerely,
Maylene Bird


On Thu, Feb 16, 2023 at 6:04 AM <blindmath-request at nfbnet.org> wrote:

> Send BlindMath mailing list submissions to
>         blindmath at nfbnet.org
>
> To subscribe or unsubscribe via the World Wide Web, visit
>         http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
> or, via email, send a message with subject or body 'help' to
>         blindmath-request at nfbnet.org
>
> You can reach the person managing the list at
>         blindmath-owner at nfbnet.org
>
> When replying, please edit your Subject line so it is more specific
> than "Re: Contents of BlindMath digest..."
>
>
> Today's Topics:
>
>    1. Re: Geometry help (Maloney, Susan A)
>    2. Call For Speakers for the 2023 NFB Summer Science and
>       Engineering Division Meeting (Louis Maher)
>    3. Re: Geometry help (Evert Rasing)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Wed, 15 Feb 2023 16:02:52 +0000
> From: "Maloney, Susan A" <susan.maloney at beaufort.k12.sc.us>
> To: 'Blind Math list for those interested in mathematics'
>         <blindmath at nfbnet.org>
> Subject: Re: [BlindMath] Geometry help
> Message-ID:
>         <
> BN8PR08MB5873F97877CD36D5BF76BCF79FA39 at BN8PR08MB5873.namprd08.prod.outlook.com
> >
>
> Content-Type: text/plain; charset="utf-8"
>
> I was the TVI for a blind high school student who received an A in Honors
> Geometry.  You should tell the school to buy wikki stix and a glue gun.  I
> used these almost every day to create tactile diagrams for my student.
> Both tools allow TVIs to make diagrams very quickly from worksheets, etc.
> that the TVI may not receive ahead of time.  My student had a difficult
> time with the diagrams from the embosser, although that is an awesome
> technology.  In my experience, tests like the SAT provide higher quality
> thermoformed tactile diagrams.   The student will also need a resource
> period during which a TVI can reteach the concepts.  The teachers in the
> math classes my student took covered concepts too quickly for us to keep
> up.  Additionally, I had to talk at the same time as the math teacher when
> we worked inside the math classroom.  This didn't work for us.
>
>
> Sue Maloney
> Teacher of the Visually Impaired
> Beaufort County School District
> Department of Special Education
> 843-441-8236
> ?Perkins-Roman CVI Range Endorsement
>
>
> -----Original Message-----
> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Traci W via
> BlindMath
> Sent: Monday, February 13, 2023 11:04 AM
> To: Blind Math list for those interested in mathematics <
> blindmath at nfbnet.org>
> Cc: Traci W <traci.mwd at gmail.com>
> Subject: Re: [BlindMath] Geometry help
>
> ** WARNING: This email originated from outside of Beaufort County School
> District?s email system. Do not click links or open attachments unless you
> recognize the sender and know the content is safe. **
>
>
> I've always used a (braille) embosser and Braille/drawing software (I use
> Tiger with a Viewplus embosser) to create drawings for my students. It is
> what they will see on the SAT / ACT tests and year end tests if your school
> has them.  They should look similar so he can be successful in those tests
> if he is college bound.
>
> Traci Wilkerson
>
> On Sun, Feb 12, 2023 at 2:12 PM Shelley Mack via BlindMath <
> blindmath at nfbnet.org> wrote:
>
> > 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
> > > has access to an IPAD, Surface Pro, BrailleNote touch plus , and
> > > graphing 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
> > > > _______________________________________________
> > > > BlindMath mailing list
> > > > BlindMath at nfbnet.org
> > > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fma
> > > > ilman%2flistinfo%2fblindmath_nfbnet.org&c=E,1,Rqw46j4HF10iwf7AJK_V
> > > > 5sRimGlw2xTr6YxW4umqJMnxngcuzHD9xX5exklqMcYaBA4W1Si5iDFkdHTdNcFPng
> > > > 1lcjcNGddIe_1Cr0FDoNgxbOoV30EFIjjXSg,,&typo=1
> > > > To unsubscribe, change your list options or get your account info
> > > > for
> > > BlindMath:
> > > >
> > >
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2foptions%2fblindmath_nfbnet.org%2frjaquiss%40earthlink.net&c=E,1,cb
> > 54zU4g0EfgMo-MavHRxT62FoqA9-Oy68c-DwGByoWNTBBHkC4gRooC8sMT0uLNRvlJOpgf
> > 6lioOv4rTUrRTJOEJh_oBF2JrFuSwt0SsLVH&typo=1
> > > > BlindMath Gems can be found at <
> > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.
> > > org%2fblindmath-gems-home&c=E,1,wl8mZMJkTHljVfDO_R5J-g6YqHCRO0r3JBK-
> > > _WJ5-k-j_tf874FRldB8n01n2lgjUp1rKofrfxQn92P-4mOEovcImCg9cB2D6UtYd3Bp
> > > m94,&typo=1>
> > > >
> > > >
> > > > _______________________________________________
> > > > BlindMath mailing list
> > > > BlindMath at nfbnet.org
> > > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fma
> > > > ilman%2flistinfo%2fblindmath_nfbnet.org&c=E,1,cM-Q-Edh9AEjlA60sPvh
> > > > KeVmgtDBB6d31lS9S9EH31x55MSxXIhNsAtDrPmI1zwTexOAKRKIT1amhxpcEjSbGl
> > > > VWDoT0AFiwrpKwjgtSdNko51JEWJj1nlzf2gg,&typo=1
> > > > To unsubscribe, change your list options or get your account info
> > > > for
> > > BlindMath:
> > > >
> > >
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2foptions%2fblindmath_nfbnet.org%2fjohn.gardner%40viewplus.com&c=E,1
> > ,m3QXRCrDzAKIHtkYQi9z7uiqFN0eKK7pMu24JnsEH_nu7FCxMK2jWYG6oFYcBupx8_s2I
> > effYjx0MR2_B9HpkijuGKCP7yvKpn03YYDiOkJ0Qg,,&typo=1
> > > > BlindMath Gems can be found at <
> > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.
> > > org%2fblindmath-gems-home&c=E,1,86U3KsLCxcf9r4dOT-GRLw-kasPDONevA0mU
> > > deYqSwsUGclg9U2iYnqgKX0djnXYr82vPg9-m_mSNQmDjBfMgq1UHTXpRoMCDe63wnAb
> > > 1mStWn9xPcg,&typo=1>
> > > > _______________________________________________
> > > > BlindMath mailing list
> > > > BlindMath at nfbnet.org
> > > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fma
> > > > ilman%2flistinfo%2fblindmath_nfbnet.org&c=E,1,7SvPmE2wXVD4Sea3w079
> > > > WzXF3yugtZQVzS4Rq1VGfYnQgRnqbvJWdLi-VxbTccWaSAgzmUubcPk0xSYGv4KAWq
> > > > Uao137LJwdeM0JMaowksbULw,,&typo=1 To unsubscribe, change your list
> > > > options or get your account info for
> > > BlindMath:
> > > >
> > >
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2foptions%2fblindmath_nfbnet.org%2fjheim%40math.wisc.edu&c=E,1,fZ2oG
> > 5dmGhJfunZ4TIAewIXm_OTypD3KvhHKGoL1l3IGvgFGM-VcGA8LCmpikAhJLehi7vPrTtV
> > 4eHyWfbKzC7Sg6J-8kzrWBoujj2q3F2yd5jpdEWUeZE9fc0uX&typo=1
> > > > BlindMath Gems can be found at <
> > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.
> > > org%2fblindmath-gems-home&c=E,1,RBmeJS_gYNzHMI1YVy4qU2WcOrB7A3-_fFGZ
> > > 0LbANaV-PdGLwXmTmOFsmFjjAb3mSd6OS7oZtkTkoPVc4QKZ5S2FHY1BS24HkloQUM1i
> > > Jel0r3w,&typo=1>
> > >
> > > --
> > > John .G. Heim
> > > jheim at math.wisc.edu
> > >
> > >
> > > _______________________________________________
> > > BlindMath mailing list
> > > BlindMath at nfbnet.org
> > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmail
> > > man%2flistinfo%2fblindmath_nfbnet.org&c=E,1,UTsTpiL5TL5SpstHqe1AaGdu
> > > i30ETSrgU6Z4esJuXfO--mo-u81g6eUpNoUe_1MfnQPebi_T5IBIQTcj0d8CdleH2keP
> > > uEhK07OTdQh9mFw,&typo=1 To unsubscribe, change your list options or
> > > get your account info for
> > > BlindMath:
> > >
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2foptions%2fblindmath_nfbnet.org%2fsmackbrl%40gmail.com&c=E,1,vCjXvu
> > 5vYYPGkbdRqpiWWnli8ynVCxZ7hibxzDkxdqo7azxeveODg6pEbqSxvljTALwlyd8dBNnP
> > WUX3CWco-bYX_8vhqaqiuLTxmm6tzFX3v4ZB-1tvkojIMMc,&typo=1
> > > BlindMath Gems can be found at <
> > > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.
> > > org%2fblindmath-gems-home&c=E,1,iq8gWFI1RW0gmz9AQt9rM_mucBhpX61OnG6j
> > > 4YqkwIYTqKC0cIBh6eQW0wD5jJeRh_CgzUgZhUwhTdnpJatevVWZGbTJ9CS2EPdZC80G
> > > UtW75yDcAbZD&typo=1>
> > >
> > _______________________________________________
> > BlindMath mailing list
> > BlindMath at nfbnet.org
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2flistinfo%2fblindmath_nfbnet.org&c=E,1,98fURJJofbgvyvwy17KxjHqHSbxA
> > tbLqwkjBegDJBpEvUF9yZ-Ae65qFm0nxgCPZjcvFUcIPj77loL_rRW8khgxy0_PnbknWHf
> > k6ohroMC7f3q_2eK-4eF6r3Zw,&typo=1 To unsubscribe, change your list
> > options or get your account info for
> > BlindMath:
> >
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailma
> > n%2foptions%2fblindmath_nfbnet.org%2ftraci.mwd%40gmail.com&c=E,1,8LX14
> > Zgm620r-0oHkCOiRaP9oGqlzazWqhSwDZRjewFoXUbOO0v4z0yEnLhB1DOPju3OW2ubFH8
> > 0wf4RIjgW6Dl3zjjWFr84IbusLqxIGA81N11i6dee&typo=1
> > BlindMath Gems can be found at <
> > https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.or
> > g%2fblindmath-gems-home&c=E,1,Ou4DPfy-NSz7vQGH2A35omUp4F11RsJcn_2wrSdD
> > mJ0RgzVkdHr9HwDcDPWPXExVdU5MFgWRcycePaISoQCEHBui6uSN-7SVDwcNrBnYcUaihg
> > ETnS6yyw,,&typo=1>
> >
> _______________________________________________
> BlindMath mailing list
> BlindMath at nfbnet.org
>
> https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailman%2flistinfo%2fblindmath_nfbnet.org&c=E,1,fseSw0MVFp6wIxWQAeVX7isbj61bA6ZlP7b3X9gekbMViBwuq5TONS8vAg1_VxrJsStWZkmVDXUvm4CXtn8c5r6ry2AI4EOhNXmucWHuFoFnZ22u7Ik,&typo=1
> To unsubscribe, change your list options or get your account info for
> BlindMath:
>
> https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fnfbnet.org%2fmailman%2foptions%2fblindmath_nfbnet.org%2fsusan.maloney%40beaufort.k12.sc.us&c=E,1,ZyhzkIL6U16SRzjkAAYiDsEfI8VwhM6EcMNyxrJoJSsuwRFfgI3AD3TQjp-pKFHoWN0181y2XgZuqc0s_twIjEKF5HJDCCg-L_dZoeQu6CrLtq_DU5ctTOXdYQ,,&typo=1
> BlindMath Gems can be found at <
> https://linkprotect.cudasvc.com/url?a=http%3a%2f%2fwww.blindscience.org%2fblindmath-gems-home&c=E,1,YVHL0Ird6EQVD3II1gAmnH1r3Ub-BNiN6_wUWQzxTWwS2lti_2S9ZahAuSlLFjKz6igyoVwoXyxew3huruijOjYa-qwYRJ57OieyfUulFqUCvCiNSFi0CA,,&typo=1
> >
>
> ------------------------------
>
> Message: 2
> Date: Wed, 15 Feb 2023 22:24:33 +0000
> From: Louis Maher <ljmaher03 at outlook.com>
> To: 'blind math' <blindmath at nfbnet.org>
> Subject: [BlindMath] Call For Speakers for the 2023 NFB Summer Science
>         and Engineering Division Meeting
> Message-ID:
>         <
> MW4PR06MB9039D5ADFB84D62F91BEC3AFAAA39 at MW4PR06MB9039.namprd06.prod.outlook.com
> >
>
> Content-Type: text/plain; charset="us-ascii"
>
> Hello,
>
> The Science and Engineering Division of the National Federation of the
> Blind (SEDNFB) will have its annual meeting during the NFB's summer
> convention in Houston, Texas https://www.nfb.org/convention" during the
> evening of Monday, July 3, 2023, from 6:30 PM until 10 PM.
>
> If you are interested in giving an approximately fifteen-minute in-person
> presentation on a "Science Technology Engineering Math" (STEM) related
> topic, please send Louis Maher (713-444-7838, ljmaher03 at outlook.com
> <mailto:ljmaher03 at outlook.com>) your name, cell number, and presentation
> topic.  I would ask that you send me your presentation title, presentation
> abstract, and speaker introduction, by May 1, 2023.
>
> If you wish to join the Science and Engineering Division, go to:
> "http://www.nfb.org/divisiondues". Dues are $5 a year.
>
> Starting in 2022, NFB divisions' fiscal year start on January 1 and end on
> December 31 of the same year.
>
> Thank you.
>
> Regards
> Louis Maher
> Phone: 713-444-7838
> Email: ljmaher03 at outlook.com<mailto:ljmaher03 at outlook.com>
>
>
>
> ------------------------------
>
> Message: 3
> Date: Thu, 16 Feb 2023 07:50:38 +0000
> From: Evert Rasing <EvertRasing at visio.org>
> To: Blind Math list for those interested in mathematics
>         <blindmath at nfbnet.org>
> Cc: Sonya Lawrence <sflawrence1 at gmail.com>
> Subject: Re: [BlindMath] Geometry help
> Message-ID:
>         <
> AM9P194MB1220388766737E6E4ED81BD5B4A09 at AM9P194MB1220.EURP194.PROD.OUTLOOK.COM
> >
>
> Content-Type: text/plain; charset="windows-1252"
>
> Hi Sonya,
>
> Since your son has an iPad, you might want to consider using the SenseMath
> app (available for free on iPhone and iPad). The app uses sonification or
> audio to get a quick overall impression of a mathematical graph. It can
> really save time when you use it together with embossed graphs.
>
> Kind regards,
> Evert Rasing
> Royal Dutch Visio
>
>
> Van: BlindMath <blindmath-bounces at nfbnet.org> namens Sonya Lawrence via
> BlindMath <blindmath at nfbnet.org>
> Datum: zaterdag, 11 februari 2023 om 13:32
> Aan: blindmath at nfbnet.org <blindmath at nfbnet.org>
> CC: Sonya Lawrence <sflawrence1 at gmail.com>
> Onderwerp: [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 has
> access to an IPAD, Surface Pro, BrailleNote touch plus , and graphing
> 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
> _______________________________________________
> BlindMath mailing list
> BlindMath at nfbnet.org
> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
> To unsubscribe, change your list options or get your account info for
> BlindMath:
>
> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/evertrasing%40visio.org
> BlindMath Gems can be found at <
> http://www.blindscience.org/blindmath-gems-home>
>
>
> ------------------------------------------------------------------------------
> DISCLAIMER. De informatie verzonden met dit e-mailbericht is uitsluitend
> bestemd voor de geadresseerde. Gebruik van deze informatie door anderen dan
> de geadresseerde is verboden. Openbaarmaking, vermenigvuldiging,
> verspreiding en/of verstrekking van deze informatie aan derden is niet
> toegestaan. Visio staat niet in voor de juiste en volledige overbrenging
> van de inhoud van een verzonden e-mail, noch voor tijdige ontvangst daarvan.
>
> ------------------------------------------------------------------------------
>
>
> ------------------------------
>
> Subject: Digest Footer
>
> _______________________________________________
> BlindMath mailing list
> BlindMath at nfbnet.org
> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
> BlindMath Gems can be found at <
> http://www.blindscience.org/blindmath-gems-home>
>
>
> ------------------------------
>
> End of BlindMath Digest, Vol 199, Issue 12
> ******************************************
>


More information about the BlindMath mailing list