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Math Accommodations Math Accommodations

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Math AccommodationsMath Accommodations

IssuesIssues

Accessing books/problem setsAccessing books/problem sets Doing homework/testsDoing homework/tests Getting information in classGetting information in class

Tips for Deaf and Tips for Deaf and Hard of Hearing Hard of Hearing StudentsStudents

Suggestions for Suggestions for InstructorsInstructors Face the studentsFace the students

– Do not talk facing the boardDo not talk facing the board Repeat student questionsRepeat student questions

– The deaf student may not have been looking at the The deaf student may not have been looking at the questionerquestioner

Make sure you can be seen clearlyMake sure you can be seen clearly– Do not stand and talk in front of a bright windowDo not stand and talk in front of a bright window

Use gesturesUse gestures– Pointing to what you’re talking about is helpfulPointing to what you’re talking about is helpful

Build in pausesBuild in pauses– Deaf students do a lot of multi-tasking, allow some Deaf students do a lot of multi-tasking, allow some

pausespauses

Tips for Students with Tips for Students with Upper Limb Upper Limb ImpairmentsImpairments

SoftwareSoftware

Math equation programs allow Math equation programs allow keyboard entrykeyboard entry– Scientific NotebookScientific Notebook– MathType (plug-in for Word)MathType (plug-in for Word)

MathTalk allows voice entryMathTalk allows voice entry– Requires MathTalk, Dragon Requires MathTalk, Dragon

NaturallySpeaking and Scientific NaturallySpeaking and Scientific Notebook (all three!)Notebook (all three!)

MathTalkMathTalk

http://www.mathtalk.com/ ORhttp://www.mathtalk.com/ OR http://metroplexvoice.com/ http://metroplexvoice.com/

Books On-screenBooks On-screen

Scan to PDFScan to PDF Read visually on-screen (no TTS)Read visually on-screen (no TTS) Foot pedal mouseFoot pedal mouse Use Dragon to advance pages onscreen Use Dragon to advance pages onscreen

Remove spine and rebind to lay flatRemove spine and rebind to lay flat

Use hardware page-turning systemsUse hardware page-turning systems

Tips for LD StudentsTips for LD Students

VerbalizeVerbalize

Instructor sideInstructor side– Concrete, specific descriptionsConcrete, specific descriptions– Verbalize equations and operationsVerbalize equations and operations

Student sideStudent side– Verbalize the processVerbalize the process– Have students explain patterns they Have students explain patterns they

seesee

StrategiesStrategies

Spread one semester courses over Spread one semester courses over twotwo

Teach strategies, not just Teach strategies, not just algorithmsalgorithms

Tactile graphsTactile graphs ManipulativesManipulatives Color highlightingColor highlighting Draw picturesDraw pictures

Self-helpSelf-help

Work in quiet without clutterWork in quiet without clutter Videotape students studyingVideotape students studying

– Students may be totally unaware of Students may be totally unaware of what they are doing while studyingwhat they are doing while studying—videotaping provides feedback—videotaping provides feedback

Word ProblemsWord Problems

Learn key wordsLearn key words– ““and,” “sum,” “increased” mean addand,” “sum,” “increased” mean add– ““take away,” “difference,” “less” mean take away,” “difference,” “less” mean

subtractsubtract– ““of,” “times” means multiplyof,” “times” means multiply– ““per,” “out of,” “ratio of,” “quotient” per,” “out of,” “ratio of,” “quotient”

mean dividemean divide Highlight what is importantHighlight what is important

– Look for key wordsLook for key words List informationList information Draw picturesDraw pictures

Auditory MathAuditory Math

Math books in MathMLMath books in MathML– Create in MathType or Scientific NotebookCreate in MathType or Scientific Notebook

MathPlayer reads and highlightsMathPlayer reads and highlights– Free download from Design ScienceFree download from Design Science– http://www.dessci.com/http://www.dessci.com/

Read&Write Gold, Dolphin Tutor, and Read&Write Gold, Dolphin Tutor, and WYNN work with MathPlayerWYNN work with MathPlayer– Kurzweil only works from the Web Kurzweil only works from the Web

interface.interface.

Please NotePlease Note

Many LD students do not find Many LD students do not find hearing problem sets helpfulhearing problem sets helpful

HOWEVER, many LD students find HOWEVER, many LD students find hearing word problems extremely hearing word problems extremely helpful!helpful!

Online for LD*Online for LD*

ModuMath TutorialsModuMath Tutorials– Video tutorials for basic math and algebraVideo tutorials for basic math and algebra– http://www.modumath.org/http://www.modumath.org/

ALEKSALEKS– Assessment and learningAssessment and learning– http://www.aleks.com/highered/math/http://www.aleks.com/highered/math/

Khan Academy (videos)Khan Academy (videos)– http://www.khanacademy.org/http://www.khanacademy.org/

* Please note: Although helpful, these programs not fully * Please note: Although helpful, these programs not fully accessible—accessible—

do not require them for do not require them for allall students. students.

MuchoMathMuchoMath

Professor Larry Perez atProfessor Larry Perez atSaddleback CollegeSaddleback College– [email protected]@saddleback.edu

You Tube math videosYou Tube math videos– www.saddleback.edu/faculty/lperez/www.saddleback.edu/faculty/lperez/

Learning Styles for Learning Styles for MathMath Christine Tunstall at Mt. SACChristine Tunstall at Mt. SAC

– Instructional Specialist in ABIInstructional Specialist in ABI Resources to help students learn how Resources to help students learn how

to learn math to learn math http://instruction.mtsac.edu/ctunstall/http://instruction.mtsac.edu/ctunstall/ http://instruction.mtsac.edu/http://instruction.mtsac.edu/

ctunstall/dsps_33/ctunstall/dsps_33/class_handouts.html class_handouts.html

Tips for Low Vision Tips for Low Vision StudentsStudents

Software for Writing Software for Writing MathMath Keyboard entryKeyboard entry

– Scientific NotebookScientific Notebook– MathTypeMathType

Equations can be enlargedEquations can be enlarged

Voices what is writtenVoices what is written– Chatty InftyChatty Infty– http://www.inftyreader.org/http://www.inftyreader.org/

Creating Large PrintCreating Large Print

Start with PDFStart with PDF Crop pagesCrop pages Print to fit page (11 in. x 17 in.)Print to fit page (11 in. x 17 in.)

Can tile pagesCan tile pages– Portion of page enlarged to full Portion of page enlarged to full

sheetsheet

Enlarging Math in Enlarging Math in WordWord Math equations created withMath equations created with

MathType plug-inMathType plug-in– http://www.dessci.com/en/products/http://www.dessci.com/en/products/

Create a “Preferences” fileCreate a “Preferences” file– Can save multiple preference filesCan save multiple preference files

Apply preferencesApply preferences Enlarge text with Ctrl + Shift + >Enlarge text with Ctrl + Shift + >

Tips for Blind Tips for Blind StudentsStudents

Be wary of Be wary of assumptionsassumptions Blindness covers a rangeBlindness covers a range

– Most blind folks have some sightMost blind folks have some sight– Many do see colorMany do see color

Not all blind people read BrailleNot all blind people read Braille– In fact, many CC students do notIn fact, many CC students do not

Not all students who read Braille Not all students who read Braille read Nemeth math Brailleread Nemeth math Braille

Nemeth Braille Nemeth Braille ExampleExample NumbersNumbers

– 12345678901234567890

–#1234567890#1234567890 SymbolsSymbols

– x² + 2x + 2 = 10x² + 2x + 2 = 10– x^2"+2x+2 .k #10x^2"+2x+2 .k #10

Use Meaningful WordsUse Meaningful Words

Use concrete termsUse concrete terms Meaningless!Meaningless!

– ““Here is the equation.”Here is the equation.”– ““We start with the equation and We start with the equation and

factor.”factor.”– ““Set both factors equal to zero and Set both factors equal to zero and

solve to get the result.”solve to get the result.” AvoidAvoid

– This, that, here, there, thingThis, that, here, there, thing

In the following example, In the following example, you would say you would say everything!everything! Don’t just write it; verbalize it! Say each Don’t just write it; verbalize it! Say each

step.step.66xx22 = 53 = 53xx + 9 + 9

Subtract 53Subtract 53xx and 9 from both sides and 9 from both sides

66xx22 – 53 – 53xx – 9 = 0 – 9 = 0

Trinomial factoring gives usTrinomial factoring gives us

(6(6xx + 1)( + 1)(xx – 9) = 0 – 9) = 0

Set both factors equal to zeroSet both factors equal to zero

66xx + 1 = 0 and + 1 = 0 and xx – 9 = 0 – 9 = 0

Solve each equation…etc.Solve each equation…etc.

Braille optionsBraille options

Brailling math is expensive and time-Brailling math is expensive and time-consumingconsuming– Algebra books can cost $25,000+Algebra books can cost $25,000+– Calculus books can cost $100,000+Calculus books can cost $100,000+

Check books already in Braille and see if Check books already in Braille and see if instructor is willing to use the problem instructor is willing to use the problem setssets

Work with an instructor on “independent Work with an instructor on “independent study” with a book already in Braillestudy” with a book already in Braille

Lots of Math in Braille!Lots of Math in Braille!

Alternate Text Production Center Alternate Text Production Center (ATPC)(ATPC)– www.atpc.netwww.atpc.net

ATPC produces Braille and tactile ATPC produces Braille and tactile graphics free for the CCCsgraphics free for the CCCs– Sells books to those outside CCC systemSells books to those outside CCC system

Must have syllabus to begin projectMust have syllabus to begin project– They braille only required chaptersThey braille only required chapters– The more advance notice, the betterThe more advance notice, the better

Other Nemeth Other Nemeth ResourcesResources American Printing House for the American Printing House for the

Blind hosts the Louis DatabaseBlind hosts the Louis Database– Anyone can search for Braille Anyone can search for Braille

materialsmaterials– www.aph.orgwww.aph.org

Hadley School for the BlindHadley School for the Blind– Free coursesFree courses– www.hadley-school.org/Web_Site/www.hadley-school.org/Web_Site/

2_b_ae_and_hs_program.asp 2_b_ae_and_hs_program.asp

Nemeth on CampusNemeth on Campus

Scientific Notebook documents can Scientific Notebook documents can be translated into Nemeth math be translated into Nemeth math BrailleBraille– www.mackichan.comwww.mackichan.com– From other equation editors, save as From other equation editors, save as

LaTeXLaTeX– Take into Scientific Notebook and saveTake into Scientific Notebook and save– Open with Duxbury Braille Translation Open with Duxbury Braille Translation

Software (www.duxsys.com)Software (www.duxsys.com)

Graphics PrinterGraphics Printer

Tiger EmbosserTiger Embosser– Embosses graphics in raised dots Embosses graphics in raised dots

(www.viewplus.com)(www.viewplus.com)– Creates Dots Plus math BrailleCreates Dots Plus math Braille

GraphingGraphing

Requires tactile (distinguishable Requires tactile (distinguishable by feel) accommodationsby feel) accommodations– Tactile diagramsTactile diagrams– ManipulativesManipulatives

Tactile DiagramsTactile Diagrams

PIAF paperPIAF paper– ““Pictures in a Flash” Pictures in a Flash”

(www.optelec.com)(www.optelec.com)– Microcapsule paperMicrocapsule paper– Can start from any computer fileCan start from any computer file

Other Tactile Other Tactile StrategiesStrategies Corkboard for graphicsCorkboard for graphics

– Glue thread to make a gridGlue thread to make a grid– Push-pins and string for graphingPush-pins and string for graphing

Magnet boardsMagnet boards– Letters and numbers can be purchasedLetters and numbers can be purchased– Symbols can be cut from magnetic Symbols can be cut from magnetic

sheetssheets Be creative!Be creative!

Be Creative!Be Creative!

Finding manipulativesFinding manipulatives– Many standard K-12 manipulatives Many standard K-12 manipulatives

will workwill work CollageCollage

– Puff paintPuff paint– Cut-outsCut-outs– Real objectsReal objects

Commercially Commercially AvailableAvailable Wikki StixWikki Stix

– www.wikkistix.comwww.wikkistix.com Sewell Raised Line Drawing KitSewell Raised Line Drawing Kit

– www.maxiaids.comwww.maxiaids.com Non-slip abacus (Cranmer Abacus) , Non-slip abacus (Cranmer Abacus) ,

Braille ruler, protractor, compass, Braille ruler, protractor, compass, CubarithmCubarithm– www.aph.orgwww.aph.org

MathWindowMathWindow– www.mathwindow.comwww.mathwindow.com

CalculatorsCalculators

Both software and hardware Both software and hardware calculators are availablecalculators are available

Scientific CalculatorScientific Calculator

Orion TI-36XOrion TI-36X– Hand-held, talksHand-held, talks– American Printing House for the American Printing House for the

BlindBlindwww.aph.orgwww.aph.org

– MaxiAidsMaxiAidswww.maxiaids.comwww.maxiaids.com

Other CalculatorsOther Calculators

www.maxiaids.comwww.maxiaids.com– Search on “calculator”Search on “calculator”

Software CalculatorSoftware Calculator

Audio Graphing CalculatorAudio Graphing Calculator– Computer software, talksComputer software, talks– ViewPlus Technology ViewPlus Technology

www.viewplus.comwww.viewplus.com– Note: Graphs can be printed on Note: Graphs can be printed on

Tiger Embosser or to PIAF paperTiger Embosser or to PIAF paper

MathTraxMathTrax

Free from NASAFree from NASA– http://learn.arc.nasa.gov/mathtrax/http://learn.arc.nasa.gov/mathtrax/

index.htmlindex.html

LaTeX for BVILaTeX for BVI

LaTeX can be read with a screen LaTeX can be read with a screen readerreader

LaTeX structure is similar to NemethLaTeX structure is similar to Nemeth TeXnic Center LaTeX Editor and the TeXnic Center LaTeX Editor and the

MiKTeX package associated with it MiKTeX package associated with it http://www.texniccenter.org/ http://www.texniccenter.org/ http://miktex.org/ http://miktex.org/

Math OnlineMath Online

MathML and MathPlayerMathML and MathPlayer– Create in MathType, Scientific Create in MathType, Scientific

Notebook, etc.Notebook, etc. http://www.htctu.net/math/http://www.htctu.net/math/

mathtypeeq1.xht mathtypeeq1.xht

MathJaxMathJax

Opens math equations in another Opens math equations in another windowwindow– Can be read with a screen readerCan be read with a screen reader

www.mathjax.org www.mathjax.org http://www.mathjax.org/demos/http://www.mathjax.org/demos/

copy-and-paste/copy-and-paste/

STEM for BlindSTEM for Blind

http://www.blindscience.org/ http://www.blindscience.org/

https://nfb.org/ncbys-flyer https://nfb.org/ncbys-flyer

www.tsbvi.edu/math/ www.tsbvi.edu/math/

More Accessibility InfoMore Accessibility Info

http://www.calstate.edu/accessibilhttp://www.calstate.edu/accessibility/tutorials/math.shtmlity/tutorials/math.shtml

http://accessiblemath.dessci.com/http://accessiblemath.dessci.com/

http://metrc.uoregon.edu/http://metrc.uoregon.edu/– Mathematics eText Research CenterMathematics eText Research Center

More InformationMore Information

Gaeir DietrichGaeir Dietrich [email protected]@htctu.net 408-996-6047408-996-6047