Tech Reports
Tech Report kmi-10-03 Abstract
Problem solving and mathematical knowledge
Techreport ID: kmi-10-03
Date: 2010
Author(s): Joe Corneli
This report describes the research goals, and intermediate milestones related to an investigation of the relationship between problem solving and mathematical knowledge in an online mathematics community. The proposal is to build a problem-solving layer over the encyclopedia layer that comprises the central feature of the current PlanetMath.org. Research will proceed by examining the activities of people in this space (e.g. connecting, discussing, working, recording, sharing, learning, etc.) and analysis of these activities in context, pursuant to creating useful adaptive recommendations for learners. The investigation will include a qualitative component, based on participant observation of peer learning in this space. We propose to add three core features to the software system that underlies PlanetMath: (1) building blocks of an open platform for testing and evaluating various learning and instruction methods, (2) algorithms for recommendations following the cognitive tutoring approach, and (3) support for end-user participation in developing problem sets and relevant analytics. Outcomes will include a statistical study of how various activity patterns correlate with indicators of learning, and a set of narratives that assemble these key factors into problem-solving and teaching/learning strategies.
Future Internet
KnowledgeManagementMultimedia &
Information SystemsNarrative
HypermediaNew Media SystemsSemantic Web &
Knowledge ServicesSocial Software
Semantic Web and Knowledge Services is...
Our research in the Semantic Web area looks at the potentials of fusing together advances in a range of disciplines, and applying them in a systemic way to simplify the development of intelligent, knowledge-based web services and to facilitate human access and use of knowledge available on the web. For instance, we are exploring ways in which tnatural language interfaces can be used to facilitate access to data distributed over different repositories. We are also developing infrastructures to support rapid development and deployment of semantic web services, which can be used to create web applications on-the-fly. We are also investigating ways in which semantic technology can support learning on the web, through a combination of knowledge representation support, pedagogical theories and intelligent content aggregation mechanisms. Finally, we are also investigating the Semantic Web itself as a domain of analysis and performing large scale empirical studies to uncover data about the concrete epistemologies which can be found on the Semantic Web. This exciting new area of research gives us concrete insights on the different conceptualizations that are present on the Semantic Web by giving us the possibility to discover which are the most common viewpoints, which viewpoints are mutually inconsistent, to what extent different models agree or disagree, etc...
Our aim is to be at the forefront of both theoretical and practical developments on the Semantic Web not only by developing theories and models, but also by building concrete applications, for a variety of domains and user communities, including KMi and the Open University itself.
List all Semantic Web and Knowledge Services Projects
Check out these Hot Semantic Web and Knowledge Services Technologies:
List all Semantic Web and Knowledge Services Technologies
