Customizable Web-based Mathematics. An Approach for Interoperable and. Education. Paul S. Wang. David Chiu
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1 An Approach for Interoperable and Customizable Web-based Mathematics Education David Chiu Department of Computer Science and Engineering The Ohio State University Paul S. Wang Department of Computer Science Kent State University
2 Table of Contents Introduction and Overview The WME Approach Demonstration Conclusion
3 The Problem The Web contains much content suitable for math education National Library of Virtual Manipulatives Calc101 MathForum Problem 1: Finding some content of interest and ones that could be incorporated into a lesson takes non-trivial time
4 The Problem (2) Problem 2: It is difficult for any teacher to incorporate these materials effectively into a lesson. Why? Little interoperability between these components Lack of customization
5 What is WME? A distributed system for Web-based mathematics education
6 What is WME? (2) WME Site (Model) Download Install Configure Organize any TMs, Customize any ALs, as needed WME Site (Teachers and Classes Defined) WME Site (Classroom Ready) WME Site (Per-School) Initialize Localize
7 So What? WME offers classroom-ready lessons that abide national proficiency standards WME s lesson modules and components are searchable, reusable, interoperable, and customizable among any other WME site
8 So What? WME offers classroom-ready lessons that abide national proficiency standards WME s lesson modules and components are searchable, reusable, interoperable, and customizable among any other WME site
9 Table of Contents Introduction and Overview The WME Approach Demonstration Conclusion
10 WME Interoperability Goal: To make WME components plugand-play 2-Step Approach: Separation of Components Define Connection Interface
11 WME Interoperability Step 1: Separation of Components Exploit the hierarchical nature of these components to make them independent from each other
12 WME Interoperability Step 1: Separation of Components
13 WME Interoperability Step 2: Define Connection Interface Every separated component contains an XML-based configuration file. Each configuration file exposes information relating to components so that the connecting counterpart understands its interface and allows it to work properly
14 WME Interoperability Step 2: Define Connection Interface Once the interface is understood, the WME site installs the component under the proper level in the hierarchy The newly installed component becomes immediately available and usable
15 WME Customization Goal: To allow intuitive methods for customizing/tailoring a WME site and all WME components 2 Levels of Customization: School-wide Administration Lesson Management
16 A Sample Manipulative
17 Manipulative Customization Object-Oriented Approach: Encapsulation Instantiation Manipulation
18 Manipulative Customization (2) Encapsulation: The manipulative s object class is defined in a JavaScript file Instantiation: Deployed by object instantiation(s) into a web page via DOM Manipulation: Its behavior and appearance can be controlled by the set of parameters used to instantiate the object
19 Manipulative Customization (3) A manipulative object class must be written in such a way that the designer anticipates which aspects can be customized Parameters are passed to exploit these aspects the manipulative
20 Parameterizing
21 Manipulative Parameter Files Manipulative parameters defined per-class and per-teacher in MPXML
22 Customized Menu Manipulative
23 Table of Contents Introduction and Overview The WME Approach Demonstration Conclusion
24 Table of Contents Introduction and Overview The WME Approach Demonstration Conclusion
25 Summary WME is a distributed web-based system that specializes in mathematics education WME offers classroom-ready lesson content that can be customized Any component written to specifications is expected to interoperate with any WME system
26 Future Opportunities Other WME Projects Interactive Geometry (GeoSVG) Assessment Database (DMAD) Other WME Advances Further expansion and collaboration Ultimately, WME seeks to create a Web for Mathematics Education
27 Questions/Comments? WME Project Site WME contact list:
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