Conserved Properties in Polygons Obtained by a Point Reflecting Process

Autor/inn/en	Oxman, Victor; Stupel, Moshe
Titel	Conserved Properties in Polygons Obtained by a Point Reflecting Process
Quelle	In: International Journal of Mathematical Education in Science and Technology, 52 (2021) 10, S.1598-1608 (11 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2020.1850898
Schlagwörter	Mathematics Instruction; Preservice Teachers; Preservice Teacher Education; Geometric Concepts; Plane Geometry; Learning Activities; Computer Software; Educational Technology; Technology Uses in Education; Mathematical Logic; Validity; Mathematics Teachers; Concept Formation + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Lehramtsstudiengang; Lehrerausbildung; Elementare Geometrie; Planimetrie; Lernaktivität; Unterrichtsmedien; Technology enhanced learning; Technology aided learning; Technologieunterstütztes Lernen; Mathematical logics; Mathematische Logik; Gültigkeit; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Concept learning; Begriffsbildung
Abstract	The present paper describes a dynamic investigation of polygons obtained by reflecting an arbitrary point located inside or outside a given polygon through the midpoints of its sides. The activity was based on hypothesizing on the shape of the reflection polygon that would be obtained, testing the hypotheses using dynamic software, and finding a justified mathematical proof. The activity was also applied to properties that are conserved or not conserved as a result of the reflection. Additionally, we find the mathematical relation for the ratio between the area of the reflection polygon and the area of the original polygon. The population of the study was pre-service teachers and experienced teachers who study in teaching college. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01