Numerical Integration with GeoGebra in High School

Autor/inn/en	Herceg, Dorde; Herceg, Dragoslav
Titel	Numerical Integration with GeoGebra in High School
Quelle	In: International Journal for Technology in Mathematics Education, 17 (2010) 4, S.205-210 (6 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1744-2710
Schlagwörter	Computer Software; Computers; Geometric Concepts; Calculus; Algebra; High School Students; Secondary School Mathematics; Geometry; Visualization; Computation; Mathematical Concepts; Mathematics Education + Suchen Sie Ihr Suchwort? Digitalrechner; Elementare Geometrie; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Geometrie; Visualisation; Visualisierung; Mathematische Bildung
Abstract	The concept of definite integral is almost always introduced as the Riemann integral, which is defined in terms of the Riemann sum, and its geometric interpretation. This definition is hard to understand for high school students. With the aid of mathematical software for visualisation and computation of approximate integrals, the notion of definite integral and its calculation is more easily adopted by students. Applets running on computer algebra systems, such as Mathematica and on dynamic mathematics software, such as GeoGebra, can calculate the value of the Riemann sum or some other approximation formula, and can also produce appropriate graphics. However, applets solve the whole problem in one step, and therefore are not well suited for self study. A student using such applets only needs to learn how to activate them. Our aim is to use the computer in such a way which would free the students from tedious work, but still require them to learn the theory of numerical integration. We propose a set of GeoGebra tools which enable the students to separately perform each step of numerical integration, and to visually represent these steps. That way, the notion of definite integral is more easily understood and accepted by the students. This paper presents the tools for numerical integration which we developed, as well as our experience from using the tools in classroom. (Contains 3 tables and 7 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10