The Semiotic Structure of Geometry Diagrams: How Textbook Diagrams Convey Meaning

被引：25

作者：

Dimmel, Justin K. ^{[1
]}

Herbst, Patricio G. ^{[1
]}

机构：

[1] Univ Michigan, Sch Educ, Ann Arbor, MI 48109 USA

来源：

JOURNAL FOR RESEARCH IN MATHEMATICS EDUCATION | 2015年 / 46卷 / 02期

关键词：

Geometry diagrams; Geometry textbooks; Semiotics; Systemic functional linguistics; SCHOOL MATHEMATICS; TRIANGLES; KAPPA; PROOF;

D O I：

10.5951/jresematheduc.46.2.0147

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Geometry diagrams use the visual features of specific drawn objects to convey meaning about generic mathematical entities. We examine the semiotic structure of these visual features in two parts. One, we conduct a semiotic inquiry to conceptualize geometry diagrams as mathematical texts that comprise choices from different semiotic systems. Two, we use the semiotic catalog that results from this inquiry to analyze 2,300 diagrams from 22 high school geometry textbooks in which the dates of publication span the 20th century. In the first part of the article, we identify axes along which the features of geometry diagrams can vary, and in the second part of the article, we show the viability of using the semiotic framework to conduct empirical studies of diagrams in geometry textbooks.

引用

页码：147 / 195

页数：49