Parsing mathematical constructs: results from a preliminary eye tracking study

Michael Peters

Parsing mathematical constructs: results from a preliminary eye tracking study

Michael Peters

Research output: Chapter in Book/Published conference output › Conference publication

Abstract

The semantic model described in this paper is based on ones developed for arithmetic (e.g. McCloskey et al. 1985, Cohene and Dehaene 1995), natural language processing (Fodor 1975, Chomsky 1981) and work by the author on how learners parse mathematical structures. The semantic model highlights the importance of the parsing process and the relationship between this process and the mathematical lexicon/grammar. It concludes by demonstrating that for a learner to become an efficient, competent mathematician a process of top-down parsing is essential.

Original language	English
Title of host publication	Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010
Editors	M. Joubert
Pages	47–52
Number of pages	6
Publication status	Published - Jun 2010
Event	BSRLM New Researchers’ Day / BSRLM Day Conference - University of Nottingham and University of Leicester, United Kingdom Duration: 18 Jun 2010 → 19 Jun 2010

Publication series

Name	Proceedings of the British Society for Research into Learning Mathematics
Publisher	BSRLM
Number	2
Volume	30
ISSN (Print)	1463-6840

Conference

Conference	BSRLM New Researchers’ Day / BSRLM Day Conference
Country/Territory	United Kingdom
Period	18/06/10 → 19/06/10

Keywords

parsing
lexicon
grammar
cognitive pathway
cognitive development

Cite this

Peters, M. (2010). Parsing mathematical constructs: results from a preliminary eye tracking study. In M. Joubert (Ed.), Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010 (pp. 47–52). (Proceedings of the British Society for Research into Learning Mathematics; Vol. 30, No. 2).

Peters, Michael. / Parsing mathematical constructs : results from a preliminary eye tracking study. Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010. editor / M. Joubert. 2010. pp. 47–52 (Proceedings of the British Society for Research into Learning Mathematics; 2).

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title = "Parsing mathematical constructs: results from a preliminary eye tracking study",

abstract = "The semantic model described in this paper is based on ones developed for arithmetic (e.g. McCloskey et al. 1985, Cohene and Dehaene 1995), natural language processing (Fodor 1975, Chomsky 1981) and work by the author on how learners parse mathematical structures. The semantic model highlights the importance of the parsing process and the relationship between this process and the mathematical lexicon/grammar. It concludes by demonstrating that for a learner to become an efficient, competent mathematician a process of top-down parsing is essential.",

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author = "Michael Peters",

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series = "Proceedings of the British Society for Research into Learning Mathematics",

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booktitle = "Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers{\textquoteright} Day held at The University of Leicester, Friday 18th June 2010",

note = "BSRLM New Researchers{\textquoteright} Day / BSRLM Day Conference ; Conference date: 18-06-2010 Through 19-06-2010",

}

Peters, M 2010, Parsing mathematical constructs: results from a preliminary eye tracking study. in M Joubert (ed.), Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010. Proceedings of the British Society for Research into Learning Mathematics, no. 2, vol. 30, pp. 47–52, BSRLM New Researchers’ Day / BSRLM Day Conference, United Kingdom, 18/06/10.

Parsing mathematical constructs: results from a preliminary eye tracking study. / Peters, Michael.
Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010. ed. / M. Joubert. 2010. p. 47–52 (Proceedings of the British Society for Research into Learning Mathematics; Vol. 30, No. 2).

Research output: Chapter in Book/Published conference output › Conference publication

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T1 - Parsing mathematical constructs

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AU - Peters, Michael

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AB - The semantic model described in this paper is based on ones developed for arithmetic (e.g. McCloskey et al. 1985, Cohene and Dehaene 1995), natural language processing (Fodor 1975, Chomsky 1981) and work by the author on how learners parse mathematical structures. The semantic model highlights the importance of the parsing process and the relationship between this process and the mathematical lexicon/grammar. It concludes by demonstrating that for a learner to become an efficient, competent mathematician a process of top-down parsing is essential.

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KW - cognitive development

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BT - Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010

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Peters M. Parsing mathematical constructs: results from a preliminary eye tracking study. In Joubert M, editor, Proceedings of the Day Conference held at The University of Nottingham, Saturday 19th June 2010 and of the New Researchers’ Day held at The University of Leicester, Friday 18th June 2010. 2010. p. 47–52. (Proceedings of the British Society for Research into Learning Mathematics; 2).

Parsing mathematical constructs: results from a preliminary eye tracking study

Abstract

Publication series

Conference

Keywords

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Cite this