ABL   Alliance for Braille Literacy

A young blind owl clutching a closed book, looking eager to learn

NUBS

NEMETH UNIFIED BRAILLE SYSTEM

,,nubs

ABL: Alliance for Braille Literacy

Annual meeting:
October 16, 2024, 9 pm EDT
via Zoom

Step right this way for common sense in math braille.

Do you read Nemeth? Do you transcribe in Nemeth? Do you teach math to one or more blind students? If so, this is the place for you, and here's some information you will find fascinating and rewarding.

You know how elegant Nemeth braille is, with its lower-cell digits and single-cell math operators. Its concise crisp presentation is easy to transcribe and read, and for a math student to work with on a braille notetaker. But did you know that there is a breakthrough solution for braille literature that has the same consistency as UEB with the elegance of Nemeth! There is, and it's called Nemeth Unified Braille System (NUBS), and it's Dr. Nemeth's final gift to humankind.

The Nemeth Uniform Braille System (NUBS) is firmly rooted in the Nemeth Code and therefore rather intuitive to the reader of American braille. At the same time, it is, like UEB, devoid of the ambiguities that both stump automatic translators and make today's braille code unnecessarily difficult to learn. The Alliance for Braille Literacy's (ABL's) promotion of NUBS during this time of UEB implementation therefore is not motivated by nostalgia for what many see as a lost cause, but by the necessity for a braille code that furthers rather than hinders the educational and employment opportunities for those who are blind.

--Imke Durre, PhD

Since Dr. Nemeth developed this code several years before Unified English Braille became official in America, you'll discover that the EBAE contraction rules remain.

To see NUBS in action get a short story about Abraham Lincoln in NUBS braille, click this link. Abraham Lincoln Put it on your braille notetaker or read the simbraille. You'll see that it is very much like Nemeth without code switching or two kinds of numbers and symbols and punctuation--in other words, a truly sensible system for all kinds of braille. You will see that Nemeth's universal use of "dropped numbers" works really well even in literary work.

To see something more technical, you'll want to read Math Guide for Advanced Topics, that shows off how nicely NUBS handles square roots and complex fractions. Use this link: Math Guide for Advanced Topics

To see how Geometry and Trigonometry works, check out this link: Math Guide Geometry and Trig

If you want to learn to transcribe in NUBS, you'll find it to be so much like EBAE/Nemeth, you will enjoy the Training Manual.

 Why NUBS? ,:y ,,nubs8

A Matter of Educational Opportunity, not Nostalgia

Call to Action: Prevent Educational Harm to Braille Readers

NUBS is precise, non-ambiguous braille. You can author NUBS on your notetaker, and a tool like Braille2000 can turn it into printed form, on paper if you wish, complete with good-looking math expressions. There are also no code switches to manage and a consistency of symbols throughout the manuscript. Like all other braille codes, NUBS has mode indicators. Just as UEB has "contracted" and "grade 1", NUBS has "narrative" and "notational", using the familiar (56) indicator.

There are many other examples of NUBS you may find interesting.

NUBS: General Texts

*A Dog's Tale

*Abraham Lincoln

 Ben Franklin of Old Philadelphia

*Maine Sampler - A Collection of Maine Humor

*Mother Teresa's Lessons of Love

 Rascal

*Sherlock Holmes: A Scandal in Bohemia

*The Old Somerset Railroad

*While You're Here, Doc

 

    NUBS: Math, Science, and Computer Texts

*All the Math You'll Ever Need

*The Many Colors of Blood

*Dunes on Planetary Surfaces From EOS

*Sands of Time

 

How Does It Work? ,h{ does x "w8

There are several code overviews and a comprehensive training manual for NUBS. Our web site, All4Braille.org, is "NUBS Central." Check these out:

NUBS Instructional Manual

Author: Joyce Hull

Description:

The NUBS Instruction Manual is currently in Version V2020. The manual contains rules for NUBS transcription of literary material. This manual is made available as a PDF document.

Start with Part 1 for literary projects Part 1: General Transcription in PDF and then try out Part 2 (currently being finalized)for more complicated math materials.

 

Easy Guides to Math

Author: Judith Murphy and Joyce Hull

Description:

A guide for the use of NUBS in education. The guides are arranged as a set of volumes base on grade level for elementary and high school students.

Each volume can be downloaded individually and comes in three formats: ABT, BRF and DOCX. The three format versions for each volume are downloadable in a compacted ZIP file to reduce download time.

Math Guide for Grades 1 and 2

Math Guide for Grades 3 and 4

Math Guide for Grades 5 Through 8

Math Grade 6 Workbook Vol 1

Math Guide for Advanced Topics

Math Guide Geometry and Trig

1. In NUBS there are two modes for text: narrative for most literary material and notational for numeric and scientific material.

2. All numbers are formed from lower cell dots, (2356) Notice the parentheses used here. Those shown here are notational because they are associated with numerals. The dots (56) start the word to indicate the notational mode if the first character is not a digit.

3. When used in narrative material, parentheses are started with dots (456) as shown below.

_(,! ,CAT ,9 ,! ,HAT_)4

4. Narrative Periods are the same as in EBAE and are used with literary material. When a period is in contact with numerals, scientific material, and in a few other special cases, they are formed with dots (12456).

5. Commas also have two modes; dot (2) for narrative and dots (16) for notational.

6. The contraction for "ation" has been replaced with the letter a plus the contraction for "tion".

7. The contraction for "ally" is spelled out.

8. If you can read EBAE, you will be able to read this code quite easily. For more information about NUBS, go to the web site for the Alliance For Braille Literacy: allforbraille.org

9. For more information about mathematics, see the ABL website, allforbraille.org for the Part 2 manual in four volumes.

What's different (from traditional Nemeth)? Not much!

Some examples:

Signs of Comparison

is equal to = = (123456)

is greater than > @> (4,345)

is less than < @< (4,126)

is not equal to .= (46,123456)

 63¢ +21¢ = 84¢ ;#63@c+21@c = 84@c;'

Notice that the numeric phrase indicators are needed before the first and after the last number, but no indicator is used after the equal sign.

More Complicated

The next example does require some renaming. It can be seen at a glance that 7 cannot be subtracted from 4, so we need to "borrow" a 1 from the 9, changing it to an 8 and replacing the 4 with 14. In print, this is no problem in that the number 14 can be written above the 4 in smaller font size so that the alignment of the columns is maintained. This is shown on the right, in print. As seen below, braille doesn't allow the 14 to align very well over the 4.

;#     
8 14814 
13941394;7777 
- 267- 2671394 
- 267 
"333333
;'     

Those who are familiar with how Nemeth code handled a problem that required carrying recall a process that often became very complex.

NUBS solves this subtraction process by providing a clever technique. Fortunately, a two-digit replacement number in a subtraction scheme is always in the range of 10 to 18 inclusive. Therefore, we are able to devise a technique for entering this two-digit number into one cell. We consider the unit's digit of this number as a dropped number, as usual. We now add dot 1 into the same cell to indicate that this is a two-digit number whose ten's place is 1. Thus the numbers from 10 to 18 would be represented in one cell as follows:

z b l h \ < r ( v

10 11 12 13 14 15 16 17 18

Place a borrowed number line, as described above on page 8, to separate the borrowed numbers from the problem. This line should be one cell shorter on each end than the ruled line.

Using this technique, a problem requiring carrying would be brailled as:

;#     
8\ 
;7777 ←borrowed number
13941394 
- 267- 267 
1127"333333
1127 
;'     

As you can see, this technique does not require any cancellation indicators. For subtraction this is all we need to know for cancellation.