ON THE COMMUNICATION OF MATHEMATICAL REASONING

Presents some methods for describing and referring to mathematical objects and consistently and unambiguously signaling the logical structure of mathematical arguments. Presents the problems involved in referring to mathematics objects and properties. Discusses certain individual words used to commu...

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Published in:PRIMUS : problems, resources, and issues in mathematics undergraduate studies Vol. 8; no. 1; pp. 15 - 27
Main Authors: Bagchi, Atish, Wells, Charles
Format: Journal Article
Language:English
Published: Taylor & Francis Group 01.01.1998
Subjects:
Abstract Reasoning
Classroom Communication
College Mathematics
formal reasoning
Higher Education
mathematical argument
Mathematical exposition
Mathematical Logic
Mathematical Vocabulary
Proof (Mathematics)
proofs
symbolic logic
terminology
Thinking Skills
ISSN:1051-1970, 1935-4053
Online Access:Get full text
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Abstract Presents some methods for describing and referring to mathematical objects and consistently and unambiguously signaling the logical structure of mathematical arguments. Presents the problems involved in referring to mathematics objects and properties. Discusses certain individual words used to communicate the logical structure of mathematical arguments and suggests some strategies for writing proofs. Contains 27 references. (Author/ASK)
AbstractList Presents some methods for describing and referring to mathematical objects and consistently and unambiguously signaling the logical structure of mathematical arguments. Presents the problems involved in referring to mathematics objects and properties. Discusses certain individual words used to communicate the logical structure of mathematical arguments and suggests some strategies for writing proofs. Contains 27 references. (Author/ASK)
This article discusses some methods of describing and referring to mathematical objects and of consistently and unambiguously signaling the logical structure of mathematical arguments.
Author Wells, Charles
Bagchi, Atish
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  organization: Department of Mathematics , Case Western Reserve University
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References Higham Nicholas (CIT0009)
Bagchi Atish. (CIT0001) 1997
Tall David (CIT0024) 1992
Krantz Steven (CIT0013) 1997
Wells Charles (CIT0027); 102
Neufeldt Victoria (CIT0018)
Noll Walter (CIT0019)
Knuth Donald (CIT0012) 1989
Chierchia Gennaro (CIT0004)
Lakoff George. (CIT0015)
Bagchi Atish. (CIT0002)
CIT0016
Lakoif George (CIT0014) 1986
Steenrod Norman (CIT0023) 1975
Kefer Michael (CIT0011) 1992
CIT0017
Gillman Leonard (CIT0007)
Gries David (CIT0008); 34
Rin Hadas (CIT0020) 1983
Solow Daniel (CIT0022)
Kamp Hans. (CIT0010) 1993
CIT0003
CIT0025
CIT0005
CIT0026
CIT0006
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  ident: CIT0027
  publication-title: American Mathematical Monthly.
  doi: 10.2307/2975030
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  publication-title: PRIMUS.
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  doi: 10.1080/10511979108965594
– volume-title: Mathematical Writing, volume 14 of MAA Notes
  year: 1989
  ident: CIT0012
– volume-title: From Discourse to Logic, Parts I and II
  year: 1993
  ident: CIT0010
– volume-title: Webster's New World Dictionary, Third College Edition
  ident: CIT0018
– volume-title: Linguistic barriers to student's understanding of definitions in a college mathematics course
  year: 1983
  ident: CIT0020
– ident: CIT0003
  doi: 10.1207/s15328023top2001_9
– volume-title: How to Read and Do Proofs
  ident: CIT0022
– ident: CIT0006
– volume-title: Women, Fire, and Dangerous Things
  year: 1986
  ident: CIT0014
– volume-title: Meaning and Grammar: Cross-Linguistic Perspectives
  year: 1992
  ident: CIT0011
  doi: 10.1515/9783110851656
– volume-title: How to Write Mathematics
  year: 1975
  ident: CIT0023
– volume-title: Advanced Mathematical Thinking, volume 11 of Mathematics Education Library
  year: 1992
  ident: CIT0024
– volume-title: Meaning and Grammar
  ident: CIT0004
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  doi: 10.1007/BF00555720
– volume-title: Graph-based logic and sketches I: The general framework
  year: 1997
  ident: CIT0001
– volume: 34
  start-page: 44
  ident: CIT0008
  publication-title: Communications of the ACM.
  doi: 10.1145/102868.102870
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  doi: 10.2307/2974556
– volume-title: A Primer of Mathematical Writing
  year: 1997
  ident: CIT0013
– ident: CIT0026
  doi: 10.1007/0-306-47203-1_5
– ident: CIT0005
– volume-title: Metaphors we Live By
  ident: CIT0015
– volume-title: Finite-Dimensional Spaces: Algebra, Geometry, and Analysis
  ident: CIT0019
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  ident: CIT0007
– volume-title: Handbook of Writing for the Mathematical Sciences
  ident: CIT0009
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Presents some methods for describing and referring to mathematical objects and consistently and unambiguously signaling the logical structure of mathematical...
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SubjectTerms Abstract Reasoning
Classroom Communication
College Mathematics
formal reasoning
Higher Education
mathematical argument
Mathematical exposition
Mathematical Logic
Mathematical Vocabulary
Proof (Mathematics)
proofs
symbolic logic
terminology
Thinking Skills
Title ON THE COMMUNICATION OF MATHEMATICAL REASONING
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