[Blindmath] Math in your head (was: alternative methods of learning college algebra)
Louis Maher
ljmaher at swbell.net
Mon Dec 14 17:41:41 UTC 2015
Laura,
Doing math in your head is a policy guaranteeing failure. It simply does
not work for any problem having any complexity. Sometimes you might hear
this from people who do not know how to do mathematics, or who do not have
the resources for providing the blind with accessible material.
You must learn the Braille Nemeth code to be able to perform college-level
mathematics.
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: Monday, December 14, 2015 11:26 AM
To: jheim at math.wisc.edu; Blind Math list for those interested in mathematics
<blindmath at nfbnet.org>
Cc: Laura Etori <letori.etori6 at gmail.com>
Subject: Re: [Blindmath] Math in your head (was: alternative methods of
learning college algebra)
well I am the student asking for the input
but I get that' its good to apply technology and probably in the long run it
would do me good to learn math code coz honestly I sometimes find it tedious
to do math in my head all the time but, it would be a good practice to
cultivate
thanks a lot for the input I will be sure to use it and if anyone else has
more input I am open minded to workable suggestions
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On 12/14/15, John G Heim via Blindmath <blindmath at nfbnet.org> wrote:
> 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
>>>
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>
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--
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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