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This article provides tips and resources for math accommodations for students with disabilities such as deafness, upper limb impairments, learning disabilities, low vision, and blindness. It includes suggestions for instructors and software/books recommendations. Additionally, tips for verbalizing math, strategies for learning, and addressing math anxiety are discussed.
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Issues • Accessing books/problem sets • Doing homework/tests • Getting information in class
Suggestions for Instructors • Face the students • Do not talk facing the board • Repeat student questions • The deaf student may not have been looking at the questioner • Make sure you can be seen clearly • Do not stand and talk in front of a bright window • Use gestures • Pointing to what you’re talking about is helpful • Build in pauses • Deaf students do a lot of multi-tasking, allow some pauses
Software • Math equation programs allow keyboard entry • Scientific Notebook • MathType (plug-in for Word) • MathTalk allows voice entry • Requires MathTalk, Dragon NaturallySpeaking and Scientific Notebook (all three!)
Books • Scan to PDF • Read on-screen • Foot pedal mouse • Use Dragon to advance pages onscreen • Remove spine and rebind to lay flat • Use hardware page-turning systems
Verbalize • Instructor side • Concrete, specific descriptions • Verbalize equations and operations • Student side • Verbalize the process • Have students explain patterns they see
Strategies • Spread one semester courses over two • Teach strategies, not just algorithms • Tactile graphs • Manipulatives • Color highlighting • Draw pictures
Self-help • Work in quiet without clutter • Videotape students studying • Students may be totally unaware of what they are doing while studying—videotaping provides feedback
Word Problems • Learn key words • “and,” “sum,” “increased” mean add • “take away,” “difference,” “less” mean subtract • “of,” “times” means multiply • “per,” “out of,” “ratio of,” “quotient” mean divide • Highlight what is important • Look for key words • List information • Draw pictures
Auditory Math • Math books in MathML • Create in MathType or Scientific Notebook • MathPlayer reads and highlights • Free download from Design Science • http://www.dessci.com/ • Read&Write Gold, Dolphin Tutor, and WYNN work with MathPlayer • Kurzweil only works from the Web interface.
Online for LD* • ModuMath Tutorials • Video tutorials for basic math and algebra • http://www.modumath.org/ • ALEKS • Assessment and learning • http://www.aleks.com/highered/math/ • Khan Academy (videos) • http://www.khanacademy.org/ * Please note: Although helpful, these programs not fully accessible—do not require them for all students.
MuchoMath • Professor Larry Perez atSaddleback College • lperez@saddleback.edu • You Tube math videos • www.saddleback.edu/faculty/lperez/
Learning Styles for Math • Christine Tunstall at Mt. SAC • Instructional Specialist in ABI • Resources to help students learn how to learn math • http://instruction.mtsac.edu/ctunstall/ • http://instruction.mtsac.edu/ctunstall/dsps_33/class_handouts.html
Math Anxiety Article • Sian Beilock, Journal of Cognition and Development • Anxiety harmed the highest-achieving students, who typically have the most working memory • Worry disrupts working memory • Reframing anxiety improves performance • http://tiny.cc/jdjwkw
Software for Writing Math • Keyboard entry • Scientific Notebook • MathType • Equations can be enlarged • Voices what is written • Chatty Infty
Creating Large Print • Start with PDF • Crop pages • Print to fit page (11 in. x 17 in.) • Can tile pages • Portion of page enlarged to full sheet
Enlarging Math in Word • Math equations created withMathType plug-in • http://www.dessci.com/en/products/ • Create a “Preferences” file • Can save multiple preference files • Apply preferences • Enlarge text with Ctrl + Shift + >
Use Meaningful Words • Use concrete terms • Meaningless! • “Here is the equation.” • “We start with the equation and factor.” • “Set both factors equal to zero and solve to get the result.” • Avoid • This, that, here, there, thing
In the following example, you would say everything! • Don’t just write it; verbalize it! Say each step. 6x 2 = 53x + 9 Subtract 53x and 9 from both sides 6x 2 – 53x – 9 = 0 Trinomial factoring gives us (6x + 1)(x – 9) = 0 Set both factors equal to zero 6x + 1 = 0 and x – 9 = 0 Solve each equation…etc.
Be wary of assumptions • Blindness covers a range • Most blind folks have some sight • Many do see color • Not all blind people read Braille • In fact, many CC students do not • Not all students who read Braille read Nemeth math Braille
Your Brain on Nemeth • Students who read Nemeth braille “think math” differently from sighted students • Difficult to transition for those who originally learned math sighted • Sighted reads learn math “spatially” • Nemeth is linear
1 = #1 2 = #2 3 = #3 4 = #4 5 = #5 6 = #6 7 = #7 8 = #8 9 = #9 0 = #0 Single-digit Numbers
Various Symbols • 1,000 = #1,000 • 98.6 = #98.6 • x = 4 = x .k #4 • Sigma ∑ = .,s • (1) = (#1) • ¼ = #1_/4
Spatial Language • Over? • 1½ • #1_?1_/4_# • ½/¾ • ,??1_/2#,_/?3_/4#,#
More Spatial Language • Raised? • x² + 2x + 2 = 10 • x^2"+2x+2 .k #10
Braille options • Brailling math is expensive and time-consuming • Algebra books can cost $25,000+ • Calculus books can cost $100,000+ • Check books already in Braille and see if instructor is willing to use the problem sets • Work with an instructor on “independent study” with a book already in Braille
Lots of Math in Braille! • Alternate Text Production Center (ATPC) • www.atpc.net • ATPC produces Braille and tactile graphics free for the CCCs • Sells books to those outside CCC system • Must have syllabus to begin project • They braille only required chapters • The more advance notice, the better • Syllabus can be from previous term!
Other Nemeth Resources • American Printing House for the Blind hosts the Louis Database • Anyone can search for Braille materials • www.aph.org • Hadley School for the Blind • Free courses • www.hadley-school.org/Web_Site/2_b_ae_and_hs_program.asp
Nemeth on Campus • Scientific Notebook documents can be translated into Nemeth math Braille • www.mackichan.com • From other equation editors, save as LaTeX • Take into Scientific Notebook and save • Open with Duxbury Braille Translation Software (www.duxsys.com)
What about graphing?? • Corkboard and string • PIAF graphs
Tactile Diagrams • PIAF paper • “Pictures in a Flash” (www.optelec.com) • Microcapsule paper • Can start from any computer file
Graphics Printer • Tiger Embosser • Embosses graphics in raised dots (www.viewplus.com) • Creates Dots Plus math Braille
Other Tactile Strategies • Be creative! • Magnet boards • Letters and numbers can be purchased • Symbols can be cut from magnetic sheets • Corkboard for graphics • Glue thread to make a grid • Push-pins and string for graphing
Be Creative! • Manipulatives • Many standard K-12 manipulatives will work • Collage • Puff paint • Cut-outs • Real objects
Commercially Available • Wikki Stix • www.wikkistix.com • Sewell Raised Line Drawing Kit • www.maxiaids.com • Non-slip abacus (Cranmer Abacus) , Braille ruler, protractor, compass, Cubarithm • www.aph.org • MathWindow • www.mathwindow.com
Scientific Calculator • Orion TI-36X • Hand-held, talks • American Printing House for the Blindwww.aph.org • MaxiAidswww.maxiaids.com
Other Calculators • www.maxiaids.com • Search on “calculator”
Software Calculator • Audio Graphing Calculator • Computer software, talks • ViewPlus Technology www.viewplus.com • Note: Graphs can be printed on Tiger Embosser or to PIAF paper
MathTrax • Free from NASA • http://learn.arc.nasa.gov/mathtrax/index.html
Useful Sites • http://www.inftyreader.org/?p=92 • http://accessiblemath.dessci.com/ • http://www.calstate.edu/accessibility/tutorials/math.shtml