[Blindmath] alternative methods of learning college algebra

[John G Heim]

But nobody said a human can do arithmetic better than a calculator. You 
are disputing a point no one has made.

Can we get back on topic, please? This thing about doing math in your 
head came up when someone suggested that you don't need to learn Nemeth 
because you can keep most of it in your head. I would not put much of 
anything beyond the capacity of the human brain. But I'd also say the 
vast majority of math students are going to need to write a lot of stuff 
down. Therefore, saying you don't need to learn Nemeth strikes me as 
poor advice.

One additional thing though. I was at a conference a while ago and 
happened to mention Nemeth code. One of the instructors chastized me for 
recommending Nemeth instead  of Gardner-Salinas. According to this 
person, we shouldn't be telling students to learn Nemeth because it is 
old hat and Gardner-Salinas braille notation is the bomb-diggity.  I 
have to admit that at the time, I didn't even know what that was.






On 12/14/2015 01:56 PM, Jeremy via Blindmath wrote:
> Slide rule was all that was available, so yes, they did with what they had.
> This is no longer the case, so why continue hunting with a bow and arrow?
>
> Regarding the bug you found, its likely that in the stone age most of that
> code was written by humans and not computers, so of course there is plenty
> of opportunity for errors if the human mistyped, but this is very different
> than the calculator itself not properly computing.
>
> It appears many of you out there have not taken even the most basic psych
> course as you would have quickly learned the limitations of human working
> memory. Believe me, those of you who are wowing yourselves because you think
> you're these human calculators, you've not truly assessed your abilities in
> a scientific manner because if you did, you would find the human mind and
> memory are prone to error when it comes to manipulating numbers.
>
> -----Original Message-----
> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Star
> Gazer via Blindmath
> Sent: Monday, December 14, 2015 9:35 AM
> To: 'Blind Math list for those interested in mathematics'
> Cc: Star Gazer
> Subject: Re: [Blindmath] alternative methods of learning college algebra
>
> Remember the math behind airplanes and the early space program was all done
> with a slide rule.
> I once found a bug in a calculator because I knew how to do math.
> Just something to keep in mind.
>
> -----Original Message-----
> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of Jeremy
> via Blindmath
> Sent: Monday, December 14, 2015 10:15 AM
> To: jheim at math.wisc.edu; 'Blind Math list for those interested in
> mathematics' <blindmath at nfbnet.org>
> Cc: Jeremy <jeremy.richards7 at gmail.com>
> Subject: Re: [Blindmath] alternative methods of learning college algebra
>
> Though I can understand your perspective as a blind person, just about every
> human being in the modern world carries a cell phone, and all cell phones
> have calculators. Why trust or tax your memory when a device which can
> compute far, far more than your brain will ever be able to calculate is
> right in your pocket. Why walk across the country when a technological
> advancement such as an airplane will take you to your destination in hours
> with no effort on your part.
>
> Those who know math well such as professors and opt to make calculations
> using paper and pencil are probably doing so because they have long become
> aware of the human brain's computational weaknesses and simply solve
> problems in this way to eliminate the possibility of error.
>
> The reason we as humans have seen an incredible jump in our technological
> advancements is due to computers. If we didn't invent computing machines we
> would be stuck using slide rulers and taking all day to compute relatively
> simple calculations which would overall hinder technological advancements.
>
> I can imagine making calculations in your head gets some "wows" from others,
> but it is not reliable if your goal is accuracy. One will have to weigh the
> pros and cons of learning and practicing mental math over the amount of time
> necessary to learn such a skill.
>
> If you want to see some amazing stuff, look up videos with Asians competing
> against one another using the abacus. These guys are multiplying and
> dividing 6-digit numbers in seconds, which would not normally be possible
> without such an instrument.
>
> -----Original Message-----
> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of John G
> Heim via Blindmath
> Sent: Monday, December 14, 2015 6:25 AM
> To: Blind Math list for those interested in mathematics
> Cc: John G Heim
> Subject: Re: [Blindmath] alternative methods of learning college algebra
>
> I would hesitate to say that you absolutely have to learn braille math.
> But I'd be even more hesitant to say you don't need it either and I would
> put a different spin on doing everything in your head. Being able to do math
> in your head is an extremely valuable skill to have -- if you can develop
> it. That's actually true for any math student. Personally, it amazes me how
> some really good mathematicians have to write everything down. It strikes me
> as primitive. But I'm sure humans vary greatly on their ability to do math
> in their head and some people are going to have a greater need to write
> things down than others. It strikes me as bad advice to tell someone to
> forget about writing stuff down.
>
> I do like the advice someone gave to learn latex. A knowledge of latex is
> considered so basic here at the Department of Mathematics at the University
> of Wisconsin that we don't even teach a mini-course in it any more.  We
> don't teach the alphabet either. If you are going to major in math, you're
> expected to know latex.
>
>
> On 12/14/2015 01:51 AM, Jeremy via Blindmath wrote:
>> Post the faculty website listing you as "college mathematics professor
>> at a community college." If this is not the case, I think it may not
>> be legal for someone to walk around playing pretend in regards to
>> professional academic credentials.
>>
>> Though you think you may have excelled at mathematics using your
>> technique, it is probably very likely that an objective comparison of
>> methods and outcomes may not be as generous to your self-assessment of
>> your mathematic ability.
>>
>> If you have truly worked with as many individuals as you claim, it is
>> likely you would know by now that people learn in very different ways,
>> and not everyone will be as fluent with mathematics as another, so
>> claiming no one needs braille and alike to complete math assignments
>> is the type of comment coming from an amateur and not a professional.
>> Surely you've heard of the normal distribution, if so, why would you
>> dare
> make such a comment?
>> -----Original Message-----
>> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of
>> David Moore via Blindmath
>> Sent: Sunday, December 13, 2015 10:36 PM
>> To: Blind Math list for those interested in mathematics
>> Cc: David Moore
>> Subject: Re: [Blindmath] alternative methods of learning college
>> algebra
>>
>> Hi Laura,
>> I had sight until I was 15. By the way, my name is David Moore. After
>> I lost my sight, I learned how to do all the math I had done up
>> through high school algebra in my head the way that I had seen it with
>> my eyes. You can learn how to concentrate so well, that you could be
>> able to see the algebra in your head just how you would see it written
>> and do all of the steps in your head and obtain the answer by seeing
>> every step just like it is in front of your eyes. I Majored in math by
>> using this method. If someone reads you a problem, you can learn how
>> to keep every step straight in your head. If you need some braille to
>> write down, just make up any code you want. No one else reads the
>> Braille anyway, so as long as you know what it means, you can just
>> make up your code. Please email me, Laura. Braille is not needed to do
>> math and do not let these Braille crazy people tell you that. If I do
>> write math down in Braille, I use some made up code, because I am the
>> only one who reads Braille. I will share my experience with you and
>> teach you tricks of doing all math in your head. Have a great one,
>> can't wait to talk to you. I will help you get an A in that class. I
>> have tutored sighted and blind alike just for fun. You will be fine
>> and you can do it. I am a college mathematics professor at a community
> college. I am also totally blind. You can do it, I am proof. Take care.
>>
>> -----Original Message-----
>> From: Louis Maher via Blindmath
>> Sent: Sunday, December 13, 2015 10:11 PM
>> To: 'Blind Math list for those interested in mathematics'
>> Cc: Louis Maher
>> Subject: Re: [Blindmath] alternative methods of learning college
>> algebra
>>
>> You must learn Braille and Nemeth Code which is the Braille
>> mathematics code.
>>
>>
>> Regards
>> Louis Maher
>> Phone 713-444-7838
>> E-mail ljmaher at swbell.net
>>
>> -----Original Message-----
>> From: Blindmath [mailto:blindmath-bounces at nfbnet.org] On Behalf Of
>> Laura Etori via Blindmath
>> Sent: Sunday, December 13, 2015 7:34 PM
>> To: Blindmath at nfbnet.org
>> Cc: Laura Etori <letori.etori6 at gmail.com>
>> Subject: [Blindmath] alternative methods of learning college algebra
>>
>> greetings everyone
>>
>> I am a college student and i am not proficient in braille. that is
>> because i lost my sight recently.
>>
>> for my core curricular courses i am expected to take college algebra
>> and since i do not know math braille i would love to get suggestions
>> from all of you on how i can be able to go through my course using
> alternative methods.
>> i am totally blind and eager to take up any suggestions.
>>
>> your input is highly appreciated and thanks a lot.
>>
>>
>>
>> --
>> for it is Him who works in us, and works through us, and makes
>> everything beautiful and marvelous in His time and splendour.
>> Kind regards
>> Laura Etori
>>
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