Bringing Interactive Mathematical Instruction to the Web using Integre techexplorer Technologies

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Bringing Interactive Mathematical Instructionto
the Webusing Integre techexplorer Technologies

• Sam Dooley
• Integre Technical Publishing
• NSF Grant DUE 03-33694

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Vision Integrated Mathematical Interaction

• High-quality math presentation
• Customizable math equation editing
• Accessible math computations
• Structured math interactions
• Pervasive math communications

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techexplorer Hypermedia Browser Features

• Cross-browser, cross-platform browser component
• Math presentation, typesetting, composition,
  layout
• Interactive TeX/LaTeX and MathML
• Standard and custom programming interfaces

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Demo Math Viewing
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Demo Math Scripting
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techexplorer Hypermedia Browser Status

• Extensive development at IBM Research
• Commercialization effort underway at Integre
• Technology preview available for free download
• http//www.integretechpub.com/techexplorer

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MathML Equation Editor Features

• Mathematical content captures the inner structure
  of the mathematical presentation
• Component design supports portability across
  operating systems and browsers
• Configuration customization allows for
  pedagogical and instructional flexibility
• Programming interfaces provide interoperability
  with other systems, tools, and services

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Mathematical Content
Content
Presentation
MathML content
MathML presentation
External
techexplorer presentation
techexplorer content
Internal
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Demo Math Editing
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Component Design
Container
Desktop
File read/write Drag and drop Cut and paste
Scripts Applets CASs
.exe
.ocx
Document
View
App
Core Editing
Core Rendering
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Demo Editing Component
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Configuration Customization

• Operator-based configuration properties
• Layout, traversal, editing, menus, palettes
• Configuration dialogs, files, methods
• Programming interfaces

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Demo Custom Templates
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Programming Interfaces

• Allow application access to math markup
• Synchronize editing and application actions
• Configure editor behavior for particular
  applications

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Demo Custom Palettes
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MathML Equation Editor Status

• Initial prototype developed at IBM Research
• Commercialization effort underway at Integre
• Technology preview available for free download
• http//www.integretechpub.com/techexplorer

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Applications Accessible math computations

• Natural math editing removes the need for
  specialized syntax
• Consistent user interfaces reduce the technology
  learning time for the student
• Reusable math markup increases the value of
  content repositories

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Demo Computer Algebra
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Applications Robust math experiences

• Dynamic math content enhances the learning
  experience for the student
• Interactions between math content and graphics
  highlight interesting pedagogical relationships
• Interactive math courseware components can be
  combined to support different learning styles

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Demo Integration
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Applications Query response validation

• Customizable special-purpose input notation can
  be used to structure student responses
• Restricted input formats can be used to validate
  student responses
• Symbolic query validation can be performed on the
  math content of student responses

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Demo Factoring
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Applications Natural symbolic derivations

• Step-by-step symbolic derivations model natural
  student mathematical reasoning
• Customized computational steps can be used to
  support pedagogical goals
• Constrained automated computations assist student
  progress beyond traditional blocking points

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Demo Derivations
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Applications Pervasive math authoring

• Component design permits incorporation into web
  and multimedia authoring environments
• Standards-based XML math markup provides input
  for generic content processing tools
• Standards-based XML authoring tools create
  reusable content, metadata, and learning objects

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Applications Pervasive math communication

• Component design permits incorporation into web
  browsers and multimedia viewing tools
• Incorporation into other web client technologies
  could support math messaging, email, chat
• Natural math content input reduces the cost of
  pervasive math communication

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Summary Integrated Mathematical Interaction

• techexplorer Hypermedia Browser provides
  high-quality math presentation for natural math
  viewing
• MathML Equation Editor provides natural math
  input with support for math content and
  presentation
• Programming interfaces support natural user
  interfaces for accessible math computations
• Configuration customization provides
  opportunities for structured math interactions
• Component software design leads toward future
  directions for pervasive math communication