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¿¿¿¿¿¿GeometryEditor: A Web-based System for Authoring, Sharing and Support of Plane Geometry Manipulatives for Mathematics Education

LAI, XUN
http://rave.ohiolink.edu/etdc/view?acc_num=kent1278997107

Abstract Details

2010, PHD, Kent State University, College of Arts and Sciences / Department of Computer Science.
Geometry Manipulative Authoring Systems (GMAS) have existed for over twenty years. With the advent of Internet, people began to place geometry manipulatives on the Web. However, there has been little research on how to utilize the Web to the greatest extent in the design and implementation of a GMAS. This dissertation presents GeometryEditor that provides not only online manipulative authoring, storing sharing, and publishing, but also models and solutions for various Web orientation topics. Manipulatives can be presented in authoring mode and learning mode. An interoperation model is proposed for the interaction among manipulatives and the enclosing page. An educational page authoring environment based on this model is presented. GeometryEditor is also a package for building Web applications that need mathematical drawing support. Client Web sites can interact with GeoSite via data Web service. In addition to providing basic authoring support that most existing systems have, GeometryEditor has a few unique and very important authoring features such as Synchronized Copy, multiple coordinate systems, event handling on geometric objects and so on. The research gives the theoretical analysis of the relation and behavior in tools, macros and expressions. GeometryEditor is the only system that is able to identify all the acceptable input object types for macros and expressions. GeometryEditor defines XML schema for geometric object types, and Geometry Construction Markup Language (GCML), the XML representation to describe Object Data Generators (ODG). GCML allows users with some basic programming background to provide extension of authoring support to the system. GeometryEditor also provides a reusable implementation layer that can be used as the infrastructure for building other Web-based manipulative authoring systems.
Paul Wang, PhD (Advisor)
Michael Mikusa, PhD (Advisor)
Arvind Bansal, PhD (Committee Member)
Hassan Peyravi, PhD (Committee Member)
Donald White, PhD (Committee Member)
221 p.
Computer Science
Geometry Manipulatives; Plane Geometry; SVG; Interactive Geometry; Web-based Mathematics Education

Recommended Citations

Citations

  • LAI, X. (2010). ¿¿¿¿¿¿GeometryEditor: A Web-based System for Authoring, Sharing and Support of Plane Geometry Manipulatives for Mathematics Education [Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1278997107

    APA Style (7th edition)

  • LAI, XUN. ¿¿¿¿¿¿GeometryEditor: A Web-based System for Authoring, Sharing and Support of Plane Geometry Manipulatives for Mathematics Education. 2010. Kent State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1278997107.

    MLA Style (8th edition)

  • LAI, XUN. "¿¿¿¿¿¿GeometryEditor: A Web-based System for Authoring, Sharing and Support of Plane Geometry Manipulatives for Mathematics Education." Doctoral dissertation, Kent State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1278997107

    Chicago Manual of Style (17th edition)

kent1278997107
793
© 2010, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.