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Generating and Using Accessible Mathematics on the Web

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8 Generating and Using Accessible Mathematics on the Web 16 Nov 2016Accessible Equation Editor  Sighted user can create math for a blind user  Blind user can create math for a sighted

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Generating and Using

Accessible Mathematics on the Web

Sam Dooley

Pearson Assessment

sam.dooley@pearson.com

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Dynamic Online Accessible Math

— Online Braille Mathhttp://accessibility.pearson.com/mathex-app/

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3 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille math is hard!

Blind students need high-quality braille math

Advanced preparation is costly and takes time

Math teachers are often unfamiliar with

braille

TVIs are often unfamiliar with math notation

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4 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille math software is

harder!

Software translation can be problematic

Forward translation takes many steps

Real-time back translation is non-existent

No support for online or classroom use

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5 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille math needs to be

online!

Blind students need:

A level playing field for STEM instruction

To read and write online braille math

To interact with sighted instructors and peers

To participate in online learning

To participate in online assessment

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6 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille math should be math!

Math concepts are independent of notation

Braille math codes capture all math notation

Math software can be independent of notation

Blind students only have full access to math

if their math is treated the same as printed math.

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Dynamic Online Accessible Math

— Accessible Equation Editor

http://accessibility.pearson.com/mathex-app/

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8 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Accessible Equation Editor

Sighted user can create math for a blind user

Blind user can create math for a sighted user

Real-time, two-way braille math translation

Instantaneous interactions with math content

Discoverable braille math encoding rules

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9 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

QWERTY Keyboard Input

Math symbols on the keyboard

Other symbols on the buttons

Keyboard cursor navigation

Implicit and explicit selection

Backspace, delete, clear

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10 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille Terminal Output

Math output on the screen

Braille output on the screen

Braille output on the terminal

Screen reader support

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11 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille Terminal Input

Each braille cell is like a key

Sequences of keys create the math

Tooltips with text and braille

Cursor position and routing

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12 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

QWERTY Terminal Output

Braille input creates math content

Math content becomes math output

Math output becomes braille output

The math markup is exactly the same

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13 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Research Studies

Two research studies in Fall 2015

(KY/AZ - Sep, TX - Oct)

Goal - to collect feedback from multiple populations on AEE functionality

Populations - blind, low vision, regular print readers, learning disabled

Criteria - high school students who had completed Algebra I

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14 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Research Outcomes

Students had limited knowledge of Nemeth

Erasing math content was unpredictable

Working with grouping symbols was difficult

Entering and closing fractions was

unexpected

Ending trigonometric expressions was unusual

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15 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Ongoing Research

Additional research studies in 2016

(NFB – Jun/Jul, TBA – Sep/Oct)

Goal - to collect feedback on new and more advanced AEE functionality

Math expression navigation

Math expression modification

Nemeth Braille discoverability

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16 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Updated Outcomes

Cursor tracking improved position awareness

Dot 8 helped identify closed expressions

Erasing content is still unpredictable

Nemeth discoverability is helpful, but the keyboard navigation is overwhelming

Nemeth symbol search was requested

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17 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Technical objectives

Real-time translation from math into braille

Real-time translation from braille into math

Accessible to both sighted and blind users

Online equation editor software component

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18 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Accessible Online Math!

Blind students can have:

A level playing field for STEM instruction

Tools to read and write online braille math

Interaction with sighted instructors and peers

Active participation in online activities

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19 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille math is math!

Blind students can read the same math

Blind students can write the same math

The math can be shared the same way

The math can be scored the same way

Blind students can now have full access to

math since their math is the same as printed math.

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Dynamic Online Accessible Math

— Online Spoken Math

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21 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Speech output for static math

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22 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Speech output for dynamic math

Speech output for the entire content

Speech output for the input context

Speech output for the input actions

Speech output for keyboard events

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23 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Natural spoken math output

Dynamic math produces more math output

User intervention is even more essential

More output means more math speech modes

Spoken output can reinforce braille output Blind students can have math read for them, and they can read their math for themselves.

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24 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Speech input for dynamic math

Dragon Naturally Speaking

Recognizes words from spoken input

Transmits characters to applications

Supports popular software packages

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25 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Custom speech input rules

Custom rules support specific software

Grammar rules recognize spoken phrases

Spoken phrases become character sequences

Character sequences become input tokens

Input tokens invoke editor template rules

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26 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Natural spoken math input

Spoken text recognition needs work for math

Math notations use well-established patterns

Notational patterns support spoken input rules

Spoken input can augment braille input

Blind students can read their math to create it, and they can write their math to create it.

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Dynamic Online Accessible Math

— Online Braille Text

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28 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Braille codes for text

Uncontracted Braille (Grade 1)

Contracted Braille (Grade 2)

Computer Braille Code (CBC)

English Braille, American Edition (EBAE)

Unified English Braille (UEB)

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29 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

User interfaces for text

Plain text editors (Notepad, Emacs)

Word processors (WordPerfect, Word)

Math expression editors (MathType, Wiris)

Worksheets (Scientific Word/Notebook)

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30 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Natural text plus math input

Content MathML to represent math

Simplified HTML to represent text

Braille input/output for textual content

Nemeth Braille input/output for math

Integrated text/math transitions

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31 Generating and Using Accessible Mathematics on the Web 16 Nov 2016

Dynamic Online Accessible

Math!

Dynamic braille input/output for math

Dynamic speech input/output for math

Dynamic braille input/output for text

Blind students can now have full access to

math since their math is the same as printed math.

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