[Blindmath] Math in your head (was: alternative methods of learning college algebra)

Mon Dec 14 22:16:52 UTC 2015

Hi again,
I am sorry. I just realized that I said that the integral of 1/(1 + X2) dX 
is arcsine X. actually, it = arctangent X. The integral of 1/(1 - X^2) = 
arcsine X. Please read what I had to say in my last post and really think 
about what I am trying to say. Take care all.

-----Original Message----- 
From: John G Heim via Blindmath
Sent: Monday, December 14, 2015 11:45 AM
To: Jeremy ; 'Blind Math list for those interested in mathematics'
Cc: John G Heim
Subject: [Blindmath] Math in your head (was: alternative methods of learning 
college algebra)

Maybe I'm getting my responders mixed up but weren't you the one
originally advocating doing everything in your head?

You're totally wrong about what you say below though. Arithmetic is only
a very small part of mathematics and you can do the vast majority of the
arithmetic in your head faster than you can with a calculator.  No exam
is going to ask a student to calculate the cosign of a 45 degree angle
by whipping out their calculator.

But I'm not even talking about doing arithmetic. I'm saying that most
math students, if asked to calculate the cosign of a 45 degree angle
would have to take out a paper and pencil, draw the unit circle, write
down the Pythagorean theorum, and  work it out on paper. If you can
develop an ability to do all that in your head, you're way better off.

I pretty regularly come across students who have told me that they have
been told they can't be mathematicians because math is essentially a
visual thing. Quite honestly, I think not only is that wrong, it's
backward. Relying on vision to do mathematics is a drawback.

On 12/14/2015 09:14 AM, Jeremy wrote:
> 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
>>
>> _______________________________________________
>> 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/ljmaher%40swbel
>> l.net
>> BlindMath Gems can be found at
>> <http://www.blindscience.org/blindmath-gems-home>
>>
>>
>> _______________________________________________
>> 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/jesusloves1966%
>> 40gmai
>> l.com
>> BlindMath Gems can be found at
>> <http://www.blindscience.org/blindmath-gems-home>
>>
>>
>> _______________________________________________
>> 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/jeremy.richards
>> 7%40gm
>> ail.com
>> BlindMath Gems can be found at
>> <http://www.blindscience.org/blindmath-gems-home>
>>
>>
>> _______________________________________________
>> 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/jheim%40math.wi
>> sc.edu BlindMath Gems can be found at
>> <http://www.blindscience.org/blindmath-gems-home>
>
> _______________________________________________
> 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/jeremy.richards7%40gm
> ail.com
> BlindMath Gems can be found at
> <http://www.blindscience.org/blindmath-gems-home>
>

_______________________________________________
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/jesusloves1966%40gmail.com
BlindMath Gems can be found at 
<http://www.blindscience.org/blindmath-gems-home> 