Embodied Geometric Reasoning: Dynamic Gestures during Intuition, Insight, and Proof

Autor/inn/en	Nathan, Mitchell J.; Schenck, Kelsey E.; Vinsonhaler, Rebecca; Michaelis, Joseph E.; Swart, Michael I.; Walkington, Candace
Titel	Embodied Geometric Reasoning: Dynamic Gestures during Intuition, Insight, and Proof
Quelle	(2020), (21 Seiten) PDF als Volltext (1); PDF als Volltext kostenfreie Datei (2) Verfügbarkeit
Zusatzinformation	ORCID (Nathan, Mitchell J.) ORCID (Schenck, Kelsey E.) Weitere Informationen
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
DOI	10.1037/edu0000638
Schlagwörter	Mathematical Logic; Validity; Geometry; Knowledge Level; Nonverbal Communication; Speech Communication; Thinking Skills; Cognitive Processes; Geometric Concepts; College Students; Spatial Ability; Language Fluency; Student Characteristics; Gender Differences; Ethnicity; Racial Differences; Verbs; Form Classes (Languages) + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Gültigkeit; Geometrie; Wissensbasis; Non-verbal communication; Nonverbale Kommunikation; Denkfähigkeit; Cognitive process; Kognitiver Prozess; Elementare Geometrie; Collegestudent; Räumliches Vorstellungsvermögen; Language skill; Language skills; Sprachkompetenz; Geschlechterkonflikt; Ethnizität; Rassenunterschied; Analytischer Sprachbau
Abstract	Grounded and embodied cognition (GEC) serves as a framework to investigate mathematical reasoning for proof (reasoning that is logical, operative, and general), insight (gist), and intuition (snap judgment). Geometry is the branch of mathematics concerned with generalizable properties of shape and space. Mathematics experts (N = 46) and nonexperts (N = 44) were asked to judge the truth and to justify their judgments for four geometry conjectures. Videotaped interviews were transcribed and coded for occurrences of gestures and speech during the proof production process. Analyses provide empirical support for claims that geometry proof production is an embodied activity, even when controlling for math expertise, language use, and spatial ability. "Dynamic depictive gestures" portray generalizable properties of shape and space through enactment of transformational operations (e.g., dilation, skewing). Occurrence of dynamic depictive gestures and nondynamic depictive gestures are associated with proof performance, insight, and intuition, as hypothesized, over and above contributions of spoken language. Geometry knowledge for proof may be embodied and accessed and revealed through actions and the transformational speech utterances describing these actions. These findings have implications for instruction, assessment of embodied knowledge, and the design of educational technology to facilitate mathematical reasoning by promoting and tracking dynamic gesture production and transformational speech. [This is the online version of an article published in "Journal of Educational Psychology" (ISSN 0022-0663). For the final published version of this article, see EJ1303738.] (As Provided).
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01