Geometry Representations in a Textbook

Autor/in	Stepnowski, Waldemar
Titel	Geometry Representations in a Textbook
Quelle	(2022), (165 Seiten) PDF als Volltext Verfügbarkeit Ph.D. Dissertation, Temple University
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
ISBN	979-8-4387-3848-0
Schlagwörter	Hochschulschrift; Dissertation; Secondary School Mathematics; Mathematics Instruction; Geometry; Textbook Content; Geometric Concepts; Visual Aids; Textbooks; Written Language; Tables (Data); Layout (Publications) + Suchen Sie Ihr Suchwort? Thesis; Dissertations; Academic thesis; Mathematics lessons; Mathematikunterricht; Geometrie; Lehrbuchtext; Elementare Geometrie; Anschauungsmaterial; Textbook; Text book; Schulbuch; Lehrbuch; Geschriebene Sprache; Tabelle; Textgestaltung
Abstract	The purpose of the study is to enumerate the representations in high school geometry, to narrow the focus to the most common ones, and to describe how the common representations are coordinated. To achieve this purpose, I analyzed several sections of a popular geometry textbook using thematic analysis, semiotics, and a pragmatic approach to capture the variety of representations into categories and to use descriptive statistics to narrow the focus to the most common representations and coordinations. The major findings are the bringing into prominence of representations like textbook gestures, ordered pairs, written language, tables, and their uses, and at the same time understating the importance of less common representations of physical objects. Other important findings are: (1) exposing which representations are most often coordinated like written language (WL), diagrams (D), numbers (N), and ordered pairs (OP), short geometry symbols (Sy), e.g., WL to D, WL+Sy to D, and N+OP to D; (2) some of the mechanisms in that coordination like using, numbers, point names, and textbook gestures, which include color, arrows, font changes, etc. Clarifying the representations in high school geometry and narrowing the scope to the most common ones allows researchers to study various combinations of representations and their impact students. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.] (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01