ERIC Number: EJ796792
Record Type: Journal
Publication Date: 2007
Reference Count: 0
Mathematics in the Making: Mapping Verbal Discourse in Polya's "Let Us Teach Guessing" Lesson
Truxaw, Mary P.; DeFranco, Thomas C.
Journal of Mathematical Behavior, v26 n2 p96-114 2007
This paper describes a detailed analysis of verbal discourse within an exemplary mathematics lesson--that is, George Polya teaching in the Mathematics Association of America [MAA] video classic, "Let Us Teach Guessing" (1966). The results of the analysis reveal an inductive model of teaching that represents recursive cycles rather than linear steps. The lesson begins with a frame of reference and builds meaning cyclically/recursively through inductive processes--that is, moving from specific cases, through recursive cycles, toward more general hypotheses and rules. Additionally, connections to specific forms of talk and verbal assessment, as well as to univocal (conveying meaning) and dialogic (new meaning through dialogue) discourse, are made.
Descriptors: Mathematics Instruction, Guessing (Tests), Verbal Communication, Teaching Methods, Mathematical Concepts, Mathematical Logic
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Publication Type: Journal Articles; Reports - Descriptive
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