Math Resources
Abacus
An abacus is a great calculation tool for students who are blind. It is comparable to paper and pencil for students who can see and allows students to keep track of their numbers while doing computation. It is not considered a calculator because it requires the student to perform the operations and manipulate the beads.
Abacus Resources
Abacus Types
- 3-rod abacus which has red felt backing that prevents beads from slipping.
- Introduces students to early math concepts and number operations, as well as abacus terminology and lends itself to preparing a young student for the Cranmer Abacus.
- Skills include: one-to-one correspondence, counting, setting/clearing numbers, adding, subtracting, money.
- 13-rod abacus which has red felt backing that prevents beads from slipping.
- Skills include: counting, setting/clearing numbers, adding, subtracting, multiplying, dividing, fractions, decimals, percent, money, factoring, prime factorization and square roots.
- Young students and those without fine motor skills can benefit from this large 13-rod Cranmer abacus. It also has red felt backing that prevents beads from slipping.
- Skills include: counting, setting/clearing numbers, adding, subtracting, multiplying, dividing, fractions, decimals, percent, money, factoring, prime factorization and square roots.
Video Trainings
Beginner’s and Expanded Beginner’s Abacus
- Part 1 An Introduction to the Beginner’s Abacus including the Beginner’s Abacus Introduction Powerpoint
- Part 2 Beginning Concepts and Counting
- Part 3 Adding and Subtracting without renaming/regrouping
- Part 4a Adding and Subtracting with renaming/regrouping (counting method)
- Part 4b Adding and Subtracting with renaming/regrouping (indirect method)
- Part 5a Adding and Subtracting with renaming/regrouping (counting method – expanded)
- Part 5b Adding and Subtracting with renaming/regrouping (indirect method – expanded)
Cranmer Abacus
- Part 1 Introduction to the Cranmer Abacus
- Part 2 Setting and Clearing
- Part 3 Basics of Addition
- Part 4 Addition Rule of 4
- Part 5 Addition Rule of 9
- Part 6 Addition Rule of 49 and 99
- Part 7 Basics of Subtraction including the Basics of Subtraction Powerpoint
- Part 8 Subtraction Rule of 5 including the Rule of 5 Powerpoint
- Part 9 Subtraction Rule of 0 including the Rule of 0 Powerpoint
- Part 10 Subtraction Rule of 50 and 00 including the Rule of 50 and 00 Powerpoint
- Part 11 Multiplication including the Multiplication Powerpoint
- Part 12 Division including the Division Powerpoint
- Part 13 Shortcuts and the Indirect Method including the Shortcuts Powerpoint
Calculators & Apps
There are a variety of iOS apps and calculators available. Which ones work best for a student depend on the student’s vision and educational needs. The list below includes options, but it is best to take a student’s needs into consideration before making a decision. The student’s teacher of the visually impaired can help with this decision. Some of these calculators are available for trial and trainings are also available on request by contacting Sara Larkin at sara.larkin@iaedb.org.
Math Apps for iOS devices
Basic 4-Function Calculators
- Assorted Options for basic talking or large print calculators
- Online – Desmos 4-Function Calculator
Scientific Calculators
- Talking – Orion TI-30XS MultiView Talking Scientific Calculator
- Fully accessible handheld scientific calculator
- Unique access and screen review capability to a multi-line scientific calculator
- Clear, high-quality recorded speech when each key is pressed and to announce output
- Large Print – Low Vision Sci-Plus-2200 Scientific Calculator
- Large Print and Talking – Low Vision Talking Scientific Calculator Sci-Plus Series 3300
- Online – Desmos Scientific Calculator
Graphing Calculators
- Talking – Orion TI-84 Plus Talking Graphing Calculator
- Fully accessible handheld graphing calculator with high quality synthesized voice
- Announces each key and answer on display with a choice of speech rates, voices, etc and reads out all textual and symbolic information on the LCD screen, including playing graphs using auditory tones.
- Available to Iowa students for trial through the Vision Resource Center.
- Large Print and Talking – Low Vision Talking Scientific Graphing Calculator
- Online – Desmos Graphing Calculator
- Accessible for both blind and low vision students.
- Information around the accessibility features can be found at https://www.desmos.com/accessibility
- Many of the activities within Desmos are accessible with a screen reader. Search “screen reader” and you will find all of the activities tagged as “Screen Reader Friendly”
Nemeth Code
Nemeth Code is the braille code used for math and science notation to represent symbols such as a plus sign, a fraction, parentheses, equals sign, exponents, radicals, etc. It is taught to students who use braille at the same time their peers are learning those same symbols.
There are many resources for learning Nemeth Code. Here are just a few:
- Official guidance documents on the Nemeth Code according to the Braille Authority of North America (BANA)
- Pearson Nemeth Curriculum – A curriculum for teaching the Nemeth Code to students at different age levels. This is not meant to replace a math curriculum.
- Nemeth Tutorial teaches students, teachers, and paraeducators how to use the Nemeth code and includes practice exercises in reading, writing and proofreading the Nemeth Code
- Project INSPIRE (Increasing the STEM Potential of Individuals Who Read Braille) has online courses for teachers and paraeducators to not only learn Nemeth Code, but also to learn strategies and resources for also helping students to learn math
- Additional resources related to the Nemeth Code
Tactile Graphics
Students with visual impairments may require visual representations, including pictures, maps, graphs, charts, diagrams and other images, in an alternate format.Tactile graphics are a means of conveying non-textual information to students who are blind or visually impaired through the sense of touch. A person with a visual impairment can feel these raised lines and surfaces in order to obtain the same information people who are sighted get through looking at pictures or other visual images. For many students with visual impairments, tactile graphics are essential to accessing and participating in educational activities.
- Guidelines and Standards for Tactile Graphics from the Braille Authority of North America (BANA)
- Think a tactile graphic is necessary? Unsure if tactile graphics are required? Use the Decision Tree at the following link to help: http://tactilegraphics.org/DECISION-TREE.pdf
- The “Tactile Graphics Think Abouts” document gives you additional information around understanding tactile graphics and learning more about them.
- Additional resources related to tactile graphics
Braille Translation Software for Math
Braille translation software translates electronic documents into braille code. From these files, a refreshable braille display can present tactile braille or a braille embosser can produce a hard-copy on special paper.
BrailleBlaster
- Free translation software for text and math
- Works with most braille embossers
- Great for embossing spatial or vertically aligned math problems
- Doesn’t work with MathType equations
- Has the ability to create many math expressions and equations using the ASCII Math Hub
- Software and information
- Additional information and resources related to BrailleBlaster
Duxbury Braille Translator (DBT)
- Translation software for text and math
- Works with most braille embossers
- Works with MathType to create math in braille
- Software and information
- Documentation and Support is available at (978) 692-3000
- Additional information and resources related to Duxbury Braille Translator (DBT)
Firebird Software
- Tactile Graphics creation software
- Works with the Romeo 60, Juliet 120, Phoenix and PageBlaster embossers.
- Installer and Setup (ZIP)
- Additional information and resources related to Firebird Software
TactileView Software
- Tactile Graphics creation software
- Allows production on a braille embosser or on swell paper (microcapsule paper)
- Link to software
- Additional information and resources related to TactileView Software
Tiger Software Suite (TSS)
- Translation Software for text, math and tactile graphics
- Works with ViewPlus and PixBlaster embossers
- Link to software
- Additional information and resources related to Tiger Software Suite (TSS)
Useful Websites and Articles
Below are some other websites and articles with information on teaching math to students who are blind or visually impaired.
- Paths to Literacy
- Perkins School for the Blind – Math Page
- NFB Blindmath Gems Home Page