PROGRAPH Diagrams--A New Old System for Teaching Functional Modelling

Autor/in	Siller, Hans-Stefan
Titel	PROGRAPH Diagrams--A New Old System for Teaching Functional Modelling
Quelle	In: International Journal for Technology in Mathematics Education, 16 (2009) 3, S.123-128 (6 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1744-2710
Schlagwörter	Mathematics Instruction; Mathematical Concepts; Computer Assisted Instruction; Educational Technology; Computer Software; Instructional Design; Computer Graphics; Learning Strategies; Teaching Methods; Models; Mathematics Education; Visual Aids; Flow Charts; Algebra + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Computer based training; Computerunterstützter Unterricht; Unterrichtsmedien; Lesson concept; Lessonplan; Unterrichtsentwurf; Computergrafik; Learning methode; Learning techniques; Lernmethode; Lernstrategie; Teaching method; Lehrmethode; Unterrichtsmethode; Analogiemodell; Mathematische Bildung; Anschauungsmaterial
Abstract	This paper shows the basic concept of Functional Modelling in mathematics education which has become more and more important in recent years. Hence it is necessary to think about suitable graphical methods to explain the fundamental idea of a function and its influence on values and other functions. PROGRAPH diagrams are a potentially good way to explain these combinations effectively. The basic idea of a function, composition of functions or returning values of a function can be shown impressively. It is also possible to find easily nested diagrams for recursive functions. So the mathematical insights into topics which can be handled through functions gets opened up and the possibilities for working with functions increase. With the help of a selection of examples the idea of this type of diagram becomes clearer and through its implementation with CAS the effective use of functions is demonstrated. Hence the combination of PROGRAPH diagrams and CAS allows an understanding of and insight into functions so that the Black-Box-Principle is eliminated. For modern and effective education Functional Modelling is absolutely necessary. With the combination of graphical representation and CAS, learners are able to see and learn the common foundation of mathematical ideas and applications. (Contains 7 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10