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The Factorial Nature of Ability in Elementary Mathematics

Bibliographic Data

ID9614899
AuthorsJack Wrigley (Queen's University Belfast, corresponding author)
Year1958
Volume28
Issue1
Pages61-78
Publication date1958-02-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueBritish Journal of Educational Psychology (JOURNAL)
Journal identifiersISSN: 0007-0998 • E-ISSN: 2044-8279
PublisherWiley (PUBLISHER • GB)
DOI10.1111/j.2044-8279.1958.tb01426.x
OpenAlexW2049825046
LanguageEN
Citations received6

S ummary .— The structure of mathematical ability in grammar and technical schools was investigated by factorial analysis. The following conclusions were drawn: There is a close connection between mathematical and general ability; high intelligence is the most important single factor for success in mathematics. In addition, there exists a clearly identifiable mathematical group factor. The different branches of mathematics are linked together more closely than they would be if a general factor only were in operation. Verbal, spatial, and numerical group factors were isolated. Performance in geometry is connected with spatial ability as measured by the spatial factor. Performance in arithmetic (especially mechanical arithmetic), and to a lesser extent performance in algebra, is in part dependent upon numerical ability as measured by a number factor. When the influence of general ability is eliminated, verbal ability has little connection with mathematical ability. No marked differences in factor pattern were observed between different types of school ‘grammar and technical) or between different countries (England and Northern Ireland). The attainment tests of mathematics, constructed specially for this research, proved to be highly reliable and valid measures of mathematical ability

Algebra over a field · Arithmetic · Cognition · Connection (principal bundle) · Factor (programming language) · Factorial · Geometry · Grammar · Grammar school · Linguistics · Mathematics education · Programming language · Pure mathematics · Spatial Ability · Cognitive and developmental aspects of mathematical skills · Computer Science · Mathematics · Mathematics Education and Teaching Techniques · Psychology

  • Separate but correlated

    Open Access•Kelly S Mix, Susan C Levine et al.•Journal of Experimental…•2016

  • The Relation Between Space and Math

    Kelly S Mix, Yi-Ling Cheng•Advances in child development and…•2012

  • Further Investigation of Components of Mathematical Ability

    Open Access•Don McCallum, D I McCallum et al.•Psychological Reports•1979

  • Examining the relations between spatial skills and mathematical performance

    Open Access•Kinnari Atit, Jason Power et al.•Psychonomic Bulletin & Review•2022

  • Reading to learn? The co-development of mathematics and reading during primary school

    Open Access•Nicolas Hübner, Christine Merrell et al.•Child Development•2022

  • Mathematical Ability as Related to Reasoning and Use of Symbols

    Open Access•Sister M Canisia•Educational and Psychological…•1962

Unique citing works6
Citations per year0,09
Citation span1962 - 2022 (61)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 6

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