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ERIC Number: ED039141
Record Type: RIE
Publication Date: 1970
Pages: 64
Abstractor: N/A
Reference Count: 0
Discourse Grammars and the Structure of Mathematical Reasoning.
Corcoran, John
Examined are some of the interrelations among three areas--first, linguistic work inspired by the ideas of Zellig Harris--second, logical investigations concerning the nature of mathematical reasoning--and third, mathematical education. The author states that his main concern is to bring some basic linguistic concepts and hypotheses to the study of deductive reasoning and, then, to suggest applications to mathematical education. The substance of this paper is divided in three parts. Part I contains some introductory remarks delimiting the author's understanding of what mathematical reasoning is. In addition, this section relates the author's structure of mathematical discourse to the structure of English discourse. In Part II, the author outlines the nature of a theory of proof and suggests the utility of such a theory for mathematical education. In Part III, the author develops several basic ideas involved in devloping a usable theory of proof. (RP)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: Pennsylvania Univ., Philadelphia. Dept. of Linguistics and Philosophy.
Note: Preliminary draft