[Blindmath] graphing inequalities feedback

Lewicki, Maureen mlewicki at bcsd.neric.org
Thu Nov 7 16:10:03 UTC 2013


Thanks, Mary! Good points!

Maureen Murphy Lewicki
Maureen Murphy Lewicki
 Teacher of Visually Impaired
Bethlehem Central School
332 Kenwood AvenueDelmar, NY 12054
http://bethlehemschools.org
(518) 439-7460
Fax (518) 475-0092
"The real problem of blindness is not the loss of eyesight.  The
real problem is the misunderstanding and lack of education that
exists.  If a blind person has the proper training and
opportunity, blindness can be reduced to a mere physical
nuisance."Kenneth Jernigan



-----Original Message-----
From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Mary Woodyard
Sent: Thursday, November 07, 2013 9:49 AM
To: blindmath at nfbnet.org
Subject: [Blindmath] graphing inequalities feedback

I am a parent of a junior in high school who is taking an Integrated Math Curriculum.  He is on level and has done fine with his high school Math - but has struggled some with his Geometry.  I have been reading all of the graphing answers and think most of them would work - depending on what the teacher is looking for.  I think that is the key here and somewhere in the original post you indicated is that you would need to get the teacher's buy in.

My son did a graphing Inequality Math 3 unit earlier this fall and he does have some usable vision in 1 eye (corrects to around 20/250) so he can use large print.  He has not had to use tactile graphics except in Geometry where it is most helpful.  Even though he has the ability to see, he still does most of his graphing nonvisually.  For instance when determining if a graph is going to shrink or stretch he can tell by looking at the coefficients.  With the inequalities - unless the standard is to look at the reproduce the answer on the graph - he will do it nonvisually also as most tests these days are multiple choice.  Depending on whether the answers are positive or negative he knows how to shade them or describe how they should be shaded.

Even when they are testing the standard that the student calculate and produce the graph himself, it will probably be on a multiple choice test where they will be given 4 graphs to look at and then choose the answer that best represents the answer.  I agree with one of the first responders who said that learning how to do it nonvisually as much as possible will help - at least at first.  Also, determining what the standard is and how it is going to be tested and what the teacher is going to accept as an answer is really what you need to know to drive the problem of how the student is going to create the graphs in both classwork (where they are learning the
concept) And classroom testing (where it will be tested).

I also agree that taking pictures of the graph is cumbersome and difficult for both the student to keep track of and then for the teacher to make sense of as a typical homework assignment may have 20 or 30 problems so you may have 20-30 pictures to correlate graphing pictures to - for several weeks.
Most high schools allow calculators - but in this case - even with emulation software you would have the tracking of the answers issue to deal with.  So
- really to answer your question you need to determine from the teacher how much of the standard is the student creating the graph himself verses him knowing how to interpret the graph.  He will probably be tested on both - but it may help you know how to focus your effort.

I have learned over my son's high school years that some of the tasks that are tested with my son's Math education are so cumbersome and difficult to have him do - it detracts from the larger Math concept he is learning and in that case - I am okay with him not being as adept at creating a graph and as he is at interpreting it.  That is a difficult call to make - only the teacher and student can do it.  For instance, I was concerned when the concept of triangles was first being introduced about him visually discerning the Incenters, Outcenters ect.  It quickly became clear to me on his test that if it was a conceptual question asking what type of triangle had which characteristic he got it.  When he had to look at it, he did not - that is why we started tactile graphics.

However, he still conceptually understood the triangles and this helped going into Math for his Sophomore and Junior Year.  Conics are about to become his Math world and already they are talking about which standards he needs to able to do in what way.  You student sounds like he is in middle school because of the fact that they are not allowing him to use calculators.  What helped my son the most last year was when he started printing the Math standards and discussing them with his teacher.

By him opening the dialog - the teacher bought in more that certain areas might be more difficult for him to learn.  That is what I would recommend here - take the graphing standards and have the student, you and the teacher sit down together and see how much they really have to be able to create and how much they need to understand and I am hoping the teacher will jump on board and figure it out with you.

-----Original Message-----
From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of blindmath-request at nfbnet.org
Sent: Thursday, November 07, 2013 7:00 AM
To: blindmath at nfbnet.org
Subject: Blindmath Digest, Vol 88, Issue 3

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Today's Topics:

   1. wolfram alpha (Wheatley, Richard)
   2. Re: wolfram alpha (Littlefield, Tyler)
   3. Re: graphing inequalities (Sean Tikkun)
   4. Fwd: utube info about graphing (Lewicki, Maureen)
   5. Re: utube info about graphing (Bente J. Casile)
   6. Re: utube info about graphing (Lewicki, Maureen)
   7. Re: utube info about graphing (I. C. Bray)


----------------------------------------------------------------------

Message: 1
Date: Wed, 6 Nov 2013 15:22:25 +0000
From: "Wheatley, Richard" <r.wheatley2 at lancaster.ac.uk>
To: "blindmath at nfbnet.org" <blindmath at nfbnet.org>
Subject: [Blindmath] wolfram alpha
Message-ID:
	
<85C2956260657F48A7323F5433C66D8E02D04B at AM2PRD0411MB411.eurprd04.prod.outloo
k.com>
	
Content-Type: text/plain; charset="us-ascii"

Hi, I am a first year theoretical physics student, one of the first term modules includes a worksheet on wolfram alpha but I can't seem to make it work with jaws. I find the links and text that are apparently close to the answer text, but jaws won't read the answer itself.
Does any-one know if wolfram alpha is accessable? If not, what would you recommend for an unexperienced computer user with jaws?
Sage has been recommended but uses a virtual machine to run Linux which I have never used before, is the Lenux environment first-time-user-friendly?
Thank you



------------------------------

Message: 2
Date: Wed, 06 Nov 2013 10:34:13 -0500
From: "Littlefield, Tyler" <tyler at tysdomain.com>
To: Blind Math list for those interested in mathematics
	<blindmath at nfbnet.org>
Subject: Re: [Blindmath] wolfram alpha
Message-ID: <527A6175.1040901 at tysdomain.com>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed

hello:
try using m.wolframalpha.com
You can also use mathamatica (which I use).
Thanks,
On 11/6/2013 10:22 AM, Wheatley, Richard wrote:
> Hi, I am a first year theoretical physics student, one of the first 
> term
modules includes a worksheet on wolfram alpha but I can't seem to make it work with jaws. I find the links and text that are apparently close to the answer text, but jaws won't read the answer itself.
> Does any-one know if wolfram alpha is accessable? If not, what would 
> you
recommend for an unexperienced computer user with jaws?
> Sage has been recommended but uses a virtual machine to run Linux 
> which I
have never used before, is the Lenux environment first-time-user-friendly?
> Thank you
>
> _______________________________________________
> Blindmath mailing list
> Blindmath at nfbnet.org
> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
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Blindmath:
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> in.com


--
Take care,
Ty
http://tds-solutions.net
He that will not reason is a bigot; he that cannot reason is a fool; he that dares not reason is a slave.




------------------------------

Message: 3
Date: Wed, 06 Nov 2013 12:39:23 -0500
From: Sean Tikkun <jaquis at mac.com>
To: Blind Math list for those interested in mathematics
	<blindmath at nfbnet.org>
Subject: Re: [Blindmath] graphing inequalities
Message-ID: <49333645-A65D-474C-9664-79A330C4EE8E at mac.com>
Content-Type: text/plain; charset=us-ascii

In my work as a TVI we produced a grid with axis.  I then had my student locate intercepts and press the grid down I those intersections so he could find them.  He would then place a ruler or straight edge on the two depressions and draw the appropriate line (solid or dashed). Then without removing the ruler would use it as a guide to 'shade' the region.  

The dilemma with this mood is that the student is purely learning how to 'produce' a product useful for the sighted.  Which is anti-thetical to all graphing for learning math.  The graph is meant to be a tool for interpretation and connection.  Since the answer is a region a table or list of data points isn't very useful either.  

A puff pun would at least make something more useful.  If the student were particularly savvy they could pin or stylus the points and then do the shading and drawing of the line by flipping the paper and using the reference marks.  But again we are creating a lot more work than the sighted peer to create a tool that is less useful.

In the light side most sighted kids perform poorly in the concept area of hush is task.  At least in my experience as a math teacher...

Your Friend,
Sean R. Tikkun
Website: www.seantikkun.net
E-mail: jaquis at me.com

Sent from my iPad

> On Nov 5, 2013, at 9:02 PM, Kelly <kellyvision at sbcglobal.net> wrote:
> 
> I use these graph sheet from aph
> NEW! Embossed XY Axis 20x20 Grid Graph Sheets
> 1-04045-00 -- $5.45
> 
> my favorite. 
> K
> 
> www.epsilen.com/kellymarts
> 
>> On Nov 5, 2013, at 10:05 AM, Rosanne Hoffmann <rhoffmann at aph.org> wrote:
>> 
>> APH sells embossed graphing paper in various grid sizes:
>> 
>>
http://shop.aph.org/webapp/wcs/stores/servlet/Product_Embossed%20Graph%20She
ets:%2011.5%20x%2011%20Inches_3014304P_10001_11051
>> 
>> and bold line tactile graph sheets;
>> 
>>
https://shop.aph.org/webapp/wcs/stores/servlet/ProductDisplay?storeId=10001&
catalogId=11051&krypto=w%2FE%2FZ6s4BbPhdCMGO1HV%2FD59SBupFiG%2B2sk%2BDsSg6Xm
lOicMwQC94mxMVMN%2BxiogRuLhePI2jbev%0D%0AhWynm7QSyMfiO2J9G4P0KQaM3CVhP%2FM%3
D&ddkey=http:ProductDisplay
>> 
>> 
>> 
>> 
>> Rosanne Hoffmann, PhD
>> STEM Project Leader
>> APH
>> 502-899-2292
>> rhoffmann at aph.org
>> 
>> 
>> 
>> 
>> -----Original Message-----
>> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Li
Zhou
>> Sent: Tuesday, November 05, 2013 10:59 AM
>> To: ljmaher at swbell.net; Blind Math list for those interested in
mathematics
>> Subject: Re: [Blindmath] graphing inequalities
>> 
>> If the plastic films/paper used with Draftsman come in with raised 
>> grid
lines, with that help?
>> 
>> Thanks,
>> 
>> Li
>> 
>>> On 11/4/13, Louis Maher <ljmaher at swbell.net> wrote:
>>> Maureen,
>>> 
>>> The graph paper would not work for the student because the student 
>>> cannot feel the graph paper, unless you sketched a few of the lines 
>>> in the graph paper grid.
>>> 
>>> In this case, you need only show the concept of the graph.  You do 
>>> not have to have accuracy, just the general shape.
>>> 
>>> 
>>> 
>>> Regards
>>> Louis Maher
>>> 713-444-7838
>>> ljmaher at swbell.net
>>> 
>>> 
>>> -----Original Message-----
>>> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of 
>>> Lewicki, Maureen
>>> Sent: Monday, November 04, 2013 6:19 PM
>>> To: <ljmaher at swbell.net>; Blind Math list for those interested in 
>>> mathematics
>>> Subject: Re: [Blindmath] graphing inequalities
>>> 
>>> Thanks Louis, isn't that similar to the mat that APH puts out on 
>>> which you can put plastic paper?
>>> 
>>> If i put raised line graph paper on the sensational blackboard will 
>>> that work? The student has to be able to use the graph paper as a 
>>> reference point
>>> 
>>> Maureen Lewicki
>>> Teacher of the Visually Impaired
>>> Bethlehem Central Schools
>>> 700 Delaware Avenue
>>> Delmar, NY 12054
>>> http://bcsd.k12.ny.us/
>>> 
>>> 
>>> On Nov 4, 2013, at 6:20 PM, "Louis Maher"
>>> <ljmaher at swbell.net<mailto:ljmaher at swbell.net>> wrote:
>>> 
>>> Maureen,
>>> 
>>> You should  consider the "sensational Blackboard" available at 
>>> http://sensationalbooks.com/.
>>> With this $30 item, a blind or sighted person can rapidly sketch a 
>>> graph using a ball-point pin and a plane piece of paper, and the 
>>> blind individual can feel the graph, and a sighted person can see the graph.
>>> 
>>> Regards
>>> Louis Maher
>>> 713-444-7838
>>> ljmaher at swbell.net<mailto:ljmaher at swbell.net>
>>> 
>>> 
>>> -----Original Message-----
>>> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of 
>>> Lewicki, Maureen
>>> Sent: Monday, November 04, 2013 3:50 PM
>>> To: 'Blind Math list for those interested in mathematics'
>>> Subject: [Blindmath] graphing inequalities
>>> 
>>> I Have a student who is going to have to graph inequalities. I am 
>>> thinking the best approach is to have her graph them using the APH 
>>> graphic aid, push pins for dotted lines, rubber bands for solid 
>>> lines, and I am thinking that to for the student to show the areas, 
>>> I can have her use Wiki sticks in one direction for one equation and 
>>> wiki sticks in another direction for the other.
>>> 
>>> In terms of her handing in this work  I have been showing her how to 
>>> photograph the graph, but this is not so fail safe. The graph is 
>>> usually too far away for the teacher to see the details, and the 
>>> student has no idea if the photo will make sense.
>>> 
>>> Any suggestions? No calculators permitted at this point. The second 
>>> part of this issue is convincing the classroom teacher that it will
work!
>>> 
>>> 
>>> 
>>> Maureen Murphy Lewicki
>>> Maureen Murphy Lewicki
>>> Teacher of Visually Impaired
>>> Bethlehem Central School
>>> 332 Kenwood AvenueDelmar, NY 12054
>>> http://bethlehemschools.org<http://bethlehemschools.org/>
>>> (518) 439-7460
>>> Fax (518) 475-0092
>>> "The real problem of blindness is not the loss of eyesight.  The 
>>> real problem is the misunderstanding and lack of education that 
>>> exists.  If a blind person has the proper training and opportunity, 
>>> blindness can be reduced to a mere physical nuisance."Kenneth 
>>> Jernigan
>>> 
>>> 
>>> _______________________________________________
>>> Blindmath mailing list
>>> Blindmath at nfbnet.org<mailto: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/ljmaher%40swb
>>> el
>>> l.net
>>> 
>>> 
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>>> Blindmath:
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>>> sd
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>>> .org
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>>> Blindmath:
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>>> el
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>>> 
>>> 
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>>> Blindmath:
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>>> 40
>>> gmail.com
>> 
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Blindmath:
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al.net
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> http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
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> m



------------------------------

Message: 4
Date: Wed, 6 Nov 2013 18:13:04 +0000
From: "Lewicki, Maureen" <mlewicki at bcsd.neric.org>
To: 'Blind Math list for those interested in mathematics'
	<blindmath at nfbnet.org>, "<ljmaher at swbell.net>" <ljmaher at swbell.net>
Subject: [Blindmath] Fwd: utube info about graphing
Message-ID: <2428CA29-BD67-4664-81A7-A30D7453DACE at bcsd.neric.org>
Content-Type: text/plain; charset="us-ascii"


This will put a smile on Sue O's face, who is on this list I believe. The series of videos is a great on, thanks Sue! I was able to send it to the math teacher. Since it came from another,math teacher, it was well received.

We live in a visual world, so I know my students will always have to prove they know what they understand in visual formats, or at least will most often have to. At least the graphic aid from APH allows them to plot points and lines in a similar way to the sighted peers.

Thanks, all!


1. APH Graph Board
An
Introduction<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28X
Hb1g8Hubg&index=33&feature=plpp_video> 00:09:00 Plotting points on the coordinate plane<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28XHb1g8Hu
bg&index=33&feature=plpp_video> 00:08:09 Graphing a straight line<http://www.youtube.com/watch?v=YtRxp7O3biY&list=UURH4x362T-R28XHb1g8Hub
g&index=31&feature=plpp_video> 00:05:42
Graphing an
inequality<http://www.youtube.com/watch?v=zpUs1Er8fH8&list=UURH4x362T-R28XHb
1g8Hubg&index=30&feature=plpp_video> 00:06:05 Graphing a system of linear
equations<http://www.youtube.com/watch?v=e1rx7qxaorw&list=UURH4x362T-R28XHb1
g8Hubg&index=29&feature=plpp_video> 00:07:12 Graphing a system of inequalities using the boundary lines<http://www.youtube.com/watch?v=-iQmIDiFMDs&list=UURH4x362T-R28XHb1g8Hu
bg&index=28&feature=plpp_video> 00:07:12 Graphing a quadratic (parabola)<http://www.youtube.com/watch?v=__6NEEdpr0g&list=UURH4x362T-R28XHb
1g8Hubg&index=27&feature=plpp_video> 00:07:43 Graphing a circle on the coordinate plane<http://www.youtube.com/watch?v=jXUCNOJbxSw&list=UURH4x362T-R28XHb1g8Hu
bg&index=26&feature=plpp_video> 00:06:23 Closing thoughts on graphing<http://www.youtube.com/watch?v=tUjuEKLNl10&list=UURH4x362T-R28XHb1g
8Hubg&index=25&feature=plpp_video> 00:01:27


Maureen Murphy Lewicki
Maureen Murphy Lewicki
Teacher of Visually Impaired
Bethlehem Central School
332 Kenwood AvenueDelmar, NY 12054
http://bethlehemschools.org<http://bethlehemschools.org/>
(518) 439-7460
Fax (518) 475-0092
"The real problem of blindness is not the loss of eyesight.  The real problem is the misunderstanding and lack of education that exists.  If a blind person has the proper training and opportunity, blindness can be reduced to a mere physical nuisance."Kenneth Jernigan




------------------------------

Message: 5
Date: Wed, 6 Nov 2013 18:37:17 +0000
From: "Bente J. Casile" <bjcasile at waketech.edu>
To: Blind Math list for those interested in mathematics
	<blindmath at nfbnet.org>
Subject: Re: [Blindmath] utube info about graphing
Message-ID:
	<EE04707A541692419FC4BB4CAD6EC1AA0FE47660 at MBX-05.waketech.edu>
Content-Type: text/plain; charset="us-ascii"

Maureen,

If your student doesn't have the money to purchase this or needs something more portable there is another option.  I took a piece of braille graph paper that had the 4 quadrants and taped it around the edges on to a cork tile that I got at an office supply place.  I was able to give the students pins and yarn and rubber bands and they had a portable graphing board that they could stick in their backpack and take to class.  When the braille paper got too many holes in it from use, we just taped on a new piece.
Going back to your inequality question you could use yarn between pins for the solid lines and a series of pins for the dashed lines.  They could use the yarn at first as a guide to make sure the pins are placed correctly and then remove the yarn.

Bente
-----Original Message-----
From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Lewicki, Maureen
Sent: Wednesday, November 06, 2013 1:13 PM
To: 'Blind Math list for those interested in mathematics'; <ljmaher at swbell.net>
Subject: [Blindmath] Fwd: utube info about graphing


This will put a smile on Sue O's face, who is on this list I believe. The series of videos is a great on, thanks Sue! I was able to send it to the math teacher. Since it came from another,math teacher, it was well received.

We live in a visual world, so I know my students will always have to prove they know what they understand in visual formats, or at least will most often have to. At least the graphic aid from APH allows them to plot points and lines in a similar way to the sighted peers.

Thanks, all!


1. APH Graph Board
An
Introduction<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28X
Hb1g8Hubg&index=33&feature=plpp_video> 00:09:00 Plotting points on the coordinate plane<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28XHb1g8Hu
bg&index=33&feature=plpp_video> 00:08:09 Graphing a straight line<http://www.youtube.com/watch?v=YtRxp7O3biY&list=UURH4x362T-R28XHb1g8Hub
g&index=31&feature=plpp_video> 00:05:42 Graphing an inequality<http://www.youtube.com/watch?v=zpUs1Er8fH8&list=UURH4x362T-R28XHb
1g8Hubg&index=30&feature=plpp_video> 00:06:05 Graphing a system of linear
equations<http://www.youtube.com/watch?v=e1rx7qxaorw&list=UURH4x362T-R28XHb1
g8Hubg&index=29&feature=plpp_video> 00:07:12 Graphing a system of inequalities using the boundary lines<http://www.youtube.com/watch?v=-iQmIDiFMDs&list=UURH4x362T-R28XHb1g8Hu
bg&index=28&feature=plpp_video> 00:07:12 Graphing a quadratic (parabola)<http://www.youtube.com/watch?v=__6NEEdpr0g&list=UURH4x362T-R28XHb
1g8Hubg&index=27&feature=plpp_video> 00:07:43 Graphing a circle on the coordinate plane<http://www.youtube.com/watch?v=jXUCNOJbxSw&list=UURH4x362T-R28XHb1g8Hu
bg&index=26&feature=plpp_video> 00:06:23 Closing thoughts on graphing<http://www.youtube.com/watch?v=tUjuEKLNl10&list=UURH4x362T-R28XHb1g
8Hubg&index=25&feature=plpp_video> 00:01:27


Maureen Murphy Lewicki
Maureen Murphy Lewicki
Teacher of Visually Impaired
Bethlehem Central School
332 Kenwood AvenueDelmar, NY 12054
http://bethlehemschools.org<http://bethlehemschools.org/>
(518) 439-7460
Fax (518) 475-0092
"The real problem of blindness is not the loss of eyesight.  The real problem is the misunderstanding and lack of education that exists.  If a blind person has the proper training and opportunity, blindness can be reduced to a mere physical nuisance."Kenneth Jernigan


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du
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------------------------------

Message: 6
Date: Wed, 6 Nov 2013 22:00:56 +0000
From: "Lewicki, Maureen" <mlewicki at bcsd.neric.org>
To: 'Blind Math list for those interested in mathematics'
	<blindmath at nfbnet.org>
Subject: Re: [Blindmath] utube info about graphing
Message-ID:
	<AD0247C3A039BA4B87F37DD2B02CCCEF123B24FC at HEX2.mail.neric.local>
Content-Type: text/plain; charset="us-ascii"

Thanks Bente! I like your portable idea. The graphic aide is indeed big!

Maureen Murphy Lewicki
Maureen Murphy Lewicki
 Teacher of Visually Impaired
Bethlehem Central School
332 Kenwood AvenueDelmar, NY 12054
http://bethlehemschools.org
(518) 439-7460
Fax (518) 475-0092
"The real problem of blindness is not the loss of eyesight.  The real problem is the misunderstanding and lack of education that exists.  If a blind person has the proper training and opportunity, blindness can be reduced to a mere physical nuisance."Kenneth Jernigan



-----Original Message-----
From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Bente J.
Casile
Sent: Wednesday, November 06, 2013 1:37 PM
To: Blind Math list for those interested in mathematics
Subject: Re: [Blindmath] utube info about graphing

Maureen,

If your student doesn't have the money to purchase this or needs something more portable there is another option.  I took a piece of braille graph paper that had the 4 quadrants and taped it around the edges on to a cork tile that I got at an office supply place.  I was able to give the students pins and yarn and rubber bands and they had a portable graphing board that they could stick in their backpack and take to class.  When the braille paper got too many holes in it from use, we just taped on a new piece.
Going back to your inequality question you could use yarn between pins for the solid lines and a series of pins for the dashed lines.  They could use the yarn at first as a guide to make sure the pins are placed correctly and then remove the yarn.

Bente
-----Original Message-----
From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Lewicki, Maureen
Sent: Wednesday, November 06, 2013 1:13 PM
To: 'Blind Math list for those interested in mathematics'; <ljmaher at swbell.net>
Subject: [Blindmath] Fwd: utube info about graphing


This will put a smile on Sue O's face, who is on this list I believe. The series of videos is a great on, thanks Sue! I was able to send it to the math teacher. Since it came from another,math teacher, it was well received.

We live in a visual world, so I know my students will always have to prove they know what they understand in visual formats, or at least will most often have to. At least the graphic aid from APH allows them to plot points and lines in a similar way to the sighted peers.

Thanks, all!


1. APH Graph Board
An
Introduction<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28X
Hb1g8Hubg&index=33&feature=plpp_video> 00:09:00 Plotting points on the coordinate plane<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28XHb1g8Hu
bg&index=33&feature=plpp_video> 00:08:09 Graphing a straight line<http://www.youtube.com/watch?v=YtRxp7O3biY&list=UURH4x362T-R28XHb1g8Hub
g&index=31&feature=plpp_video> 00:05:42 Graphing an inequality<http://www.youtube.com/watch?v=zpUs1Er8fH8&list=UURH4x362T-R28XHb
1g8Hubg&index=30&feature=plpp_video> 00:06:05 Graphing a system of linear
equations<http://www.youtube.com/watch?v=e1rx7qxaorw&list=UURH4x362T-R28XHb1
g8Hubg&index=29&feature=plpp_video> 00:07:12 Graphing a system of inequalities using the boundary lines<http://www.youtube.com/watch?v=-iQmIDiFMDs&list=UURH4x362T-R28XHb1g8Hu
bg&index=28&feature=plpp_video> 00:07:12 Graphing a quadratic (parabola)<http://www.youtube.com/watch?v=__6NEEdpr0g&list=UURH4x362T-R28XHb
1g8Hubg&index=27&feature=p
 lpp_video> 00:07:43 Graphing a circle on the coordinate plane<http://www.youtube.com/watch?v=jXUCNOJbxSw&list=UURH4x362T-R28XHb1g8Hu
bg&index=26&feature=plpp_video> 00:06:23 Closing thoughts on graphing<http://www.youtube.com/watch?v=tUjuEKLNl10&list=UURH4x362T-R28XHb1g
8Hubg&index=25&feature=plpp_video> 00:01:27


Maureen Murphy Lewicki
Maureen Murphy Lewicki
Teacher of Visually Impaired
Bethlehem Central School
332 Kenwood AvenueDelmar, NY 12054
http://bethlehemschools.org<http://bethlehemschools.org/>
(518) 439-7460
Fax (518) 475-0092
"The real problem of blindness is not the loss of eyesight.  The real problem is the misunderstanding and lack of education that exists.  If a blind person has the proper training and opportunity, blindness can be reduced to a mere physical nuisance."Kenneth Jernigan


_______________________________________________
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http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
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du
Email correspondence to and from this address may be subject to the North Carolina Public Records law and may be disclosed to third parties by an authorized state official (NCGS. ch. 132). Student educational records are subject to FERPA.

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.org



------------------------------

Message: 7
Date: Thu, 7 Nov 2013 06:53:32 -0500
From: "I. C. Bray" <i.c.bray at win.net>
To: "Blind Math list for those interested in mathematics"
	<blindmath at nfbnet.org>
Subject: Re: [Blindmath] utube info about graphing
Message-ID: <05A50BB15D1B48559026B09F0587B6B2 at JAWS>
Content-Type: text/plain;	charset="iso-8859-1"

HEY,

Can you guys tell me where I an get Braille Graph Paper??!!??
I am GOING to need some!
OMG!! WHO KNEW!
I'd like vendor and/or item # if possible

Also, are there good how-to's on using what my district calls "Patty Paper" or semi-transparent wax paper for doing geometric constructions?
Are there other / better blind ways to do constructions?


Ian



----- Original Message ----- 
From: "Bente J. Casile" <bjcasile at waketech.edu>
To: "Blind Math list for those interested in mathematics" 
<blindmath at nfbnet.org>
Sent: Wednesday, November 06, 2013 1:37 PM
Subject: Re: [Blindmath] utube info about graphing


: Maureen,
:
: If your student doesn't have the money to purchase this or needs something

more portable there is another option.  I took a piece of braille graph 
paper that had the 4 quadrants and taped it around the edges on to a cork 
tile that I got at an office supply place.  I was able to give the students 
pins and yarn and rubber bands and they had a portable graphing board that 
they could stick in their backpack and take to class.  When the braille 
paper got too many holes in it from use, we just taped on a new piece. 
Going back to your inequality question you could use yarn between pins for 
the solid lines and a series of pins for the dashed lines.  They could use 
the yarn at first as a guide to make sure the pins are placed correctly and 
then remove the yarn.
:
: Bente
: -----Original Message-----
: From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of 
Lewicki, Maureen
: Sent: Wednesday, November 06, 2013 1:13 PM
: To: 'Blind Math list for those interested in mathematics'; 
<ljmaher at swbell.net>
: Subject: [Blindmath] Fwd: utube info about graphing
:
:
: This will put a smile on Sue O's face, who is on this list I believe. The 
series of videos is a great on, thanks Sue! I was able to send it to the 
math teacher. Since it came from another,math teacher, it was well received.
:
: We live in a visual world, so I know my students will always have to prove

they know what they understand in visual formats, or at least will most 
often have to. At least the graphic aid from APH allows them to plot points 
and lines in a similar way to the sighted peers.
:
: Thanks, all!
:
:
: 1. APH Graph Board
: An 
Introduction<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28X
Hb1g8Hubg&index=33&feature=plpp_video> 
00:09:00 Plotting points on the coordinate 
plane<http://www.youtube.com/watch?v=c8plj9UsJbg&list=UURH4x362T-R28XHb1g8Hu
bg&index=33&feature=plpp_video> 
00:08:09 Graphing a straight 
line<http://www.youtube.com/watch?v=YtRxp7O3biY&list=UURH4x362T-R28XHb1g8Hub
g&index=31&feature=plpp_video> 
00:05:42 Graphing an 
inequality<http://www.youtube.com/watch?v=zpUs1Er8fH8&list=UURH4x362T-R28XHb
1g8Hubg&index=30&feature=plpp_video> 
00:06:05 Graphing a system of linear 
equations<http://www.youtube.com/watch?v=e1rx7qxaorw&list=UURH4x362T-R28XHb1
g8Hubg&index=29&feature=plpp_video> 
00:07:12 Graphing a system of inequalities using the boundary 
lines<http://www.youtube.com/watch?v=-iQmIDiFMDs&list=UURH4x362T-R28XHb1g8Hu
bg&index=28&feature=plpp_video> 
00:07:12 Graphing a quadratic 
(parabola)<http://www.youtube.com/watch?v=__6NEEdpr0g&list=UURH4x362T-R28XHb
1g8Hubg&index=27&feature=!
: plpp_video> 00:07:43 Graphing a circle on the coordinate 
plane<http://www.youtube.com/watch?v=jXUCNOJbxSw&list=UURH4x362T-R28XHb1g8Hu
bg&index=26&feature=plpp_video> 
00:06:23 Closing thoughts on 
graphing<http://www.youtube.com/watch?v=tUjuEKLNl10&list=UURH4x362T-R28XHb1g
8Hubg&index=25&feature=plpp_video> 
00:01:27
:
:
: Maureen Murphy Lewicki
: Maureen Murphy Lewicki
: Teacher of Visually Impaired
: Bethlehem Central School
: 332 Kenwood AvenueDelmar, NY 12054
: http://bethlehemschools.org<http://bethlehemschools.org/>
: (518) 439-7460
: Fax (518) 475-0092
: "The real problem of blindness is not the loss of eyesight.  The real 
problem is the misunderstanding and lack of education that exists.  If a 
blind person has the proper training and opportunity, blindness can be 
reduced to a mere physical nuisance."Kenneth Jernigan
:
:
: _______________________________________________
: 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/bjcasile%40waketech.e
du
: Email correspondence to and from this address may be subject to the North 
Carolina Public Records law and may be disclosed to third parties by an 
authorized state official (NCGS. ch. 132). Student educational records are 
subject to FERPA.
:
: _______________________________________________
: 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/i.c.bray%40win.net 




------------------------------

Subject: Digest Footer

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------------------------------

End of Blindmath Digest, Vol 88, Issue 3
****************************************


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