A Web-based Diagnosis System with Cognitive Knowledge for Problem Posing

Abstract

Problem posing is considered an important training for students by mathematics educators. This paper proposes a web-based diagnosis system with cognitive knowledge for problem posing. The system is established with. Net web service architecture. The subject domain is restricted to Chinese geometry word problems. Students can pose a problem in natural language. Then the system diagnoses the linguistic knowledge, semantic knowledge, and schematic knowledge involved in the problem and provides the information for students to correct the posed problem, if needed. In this system, the cognitive knowledge needed for comprehending and diagnosing geometry word problems is constructed with an ontology-based tool called InfoMap. We conducted an empirical experiment to examine the system's ability to diagnose geometry word problems. Results show that the system can diagnose most errors correctly.