An Algorithm for Automatic Checking of Exercises in a Dynamic Geometry System: iGeom

Autor/inn/en	Isotani, Seiji; de Oliveira Brandao, Leonidas
Titel	An Algorithm for Automatic Checking of Exercises in a Dynamic Geometry System: iGeom
Quelle	In: Computers & Education, 51 (2008) 3, S.1283-1303 (21 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0360-1315
DOI	10.1016/j.compedu.2007.12.004
Schlagwörter	Feedback (Response); Foreign Countries; Geometric Concepts; Geometry; Computer Assisted Instruction; Computer Assisted Testing; Courseware; Computer Software Reviews; Distance Education; Assignments; Information Technology; Program Descriptions; Brazil + Suchen Sie Ihr Suchwort? Ausland; Elementare Geometrie; Geometrie; Computer based training; Computerunterstützter Unterricht; Lernsoftware; Distance study; Distance learning; Fernunterricht; Assignment; Auftrag; Zuweisung; Informationstechnologie; Brasilien
Abstract	One of the key issues in e-learning environments is the possibility of creating and evaluating exercises. However, the lack of tools supporting the authoring and automatic checking of exercises for specifics topics (e.g., geometry) drastically reduces advantages in the use of e-learning environments on a larger scale, as usually happens in Brazil. This paper describes an algorithm, and a tool based on it, designed for the authoring and automatic checking of geometry exercises. The algorithm dynamically compares the distances between the geometric objects of the student's solution and the template's solution, provided by the author of the exercise. Each solution is a geometric construction which is considered a function receiving geometric objects (input) and returning other geometric objects (output). Thus, for a given problem, if we know one function (construction) that solves the problem, we can compare it to any other function to check whether they are equivalent or not. Two functions are equivalent if, and only if, they have the same output when the same input is applied. If the student's solution is equivalent to the template's solution, then we consider the student's solution as a correct solution. Our software utility provides both authoring and checking tools to work directly on the Internet, together with learning management systems. These tools are implemented using the dynamic geometry software, iGeom, which has been used in a geometry course since 2004 and has a successful track record in the classroom. Empowered with these new features, iGeom simplifies teachers' tasks, solves non-trivial problems in student solutions and helps to increase student motivation by providing feedback in real time. (Contains 10 figures and 6 tables.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10