Using Constant Time Delay to Teach Multiplication Facts to Two Fourth-Grade Boys with Learning Difficulties.

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Title: Using Constant Time Delay to Teach Multiplication Facts to Two Fourth-Grade Boys with Learning Difficulties.
Authors: Bell, Linda1 lindabell@gmx.de, Grünke, Matthias2, Barwasser, Anne2, Hoff, Susanne2
Source: Learning Disabilities - A Contemporary Journal. 2025, Vol. 23 Issue 2, p201-216. 16p.
Subject Terms: *Learning disabilities, *Fourth grade (Education), *Activity programs in education, *Inclusive education, *Educational intervention, Multiplication
Abstract: Constant Time Delay (CTD) is a structured, error-reducing teaching strategy with promising applications for students with mathematical learning difficulties (MLD). In this study, we systematically replicated CTD in a German inclusive classroom to evaluate its effects on multiplication fact fluency. Two fourth-grade boys with persistent multiplication difficulties but adequate addition skills participated in parallel singlecase experiments using two multiple-baseline designs across the 6-, 7-, and 8-times tables. CTD was implemented through flashcard practice, initially supported by skip counting and later complemented with math racetrack activities for motivation. Results demonstrated immediate and substantial gains in multiplication fluency for both students, confirmed through visual analysis, effect size indices (PEM-T, Tau-U), and hierarchical piecewise regression. Social validity ratings indicated high acceptance and perceived effectiveness. Limitations include the short intervention period and the combined use of supplemental strategies, findings provide preliminary evidence that CTD is a feasible and effective method for strengthening arithmetic fact retrieval in students with MLD. Future research should pursue larger-scale replications, long-term followup, and systematic isolation of CTD components to establish a stronger evidence base. [ABSTRACT FROM AUTHOR]
Copyright of Learning Disabilities - A Contemporary Journal is the property of Learning Disabilities Worldwide and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Data: Using Constant Time Delay to Teach Multiplication Facts to Two Fourth-Grade Boys with Learning Difficulties.
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  Data: <searchLink fieldCode="AR" term="%22Bell%2C+Linda%22">Bell, Linda</searchLink><relatesTo>1</relatesTo><i> lindabell@gmx.de</i><br /><searchLink fieldCode="AR" term="%22Grünke%2C+Matthias%22">Grünke, Matthias</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Barwasser%2C+Anne%22">Barwasser, Anne</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Hoff%2C+Susanne%22">Hoff, Susanne</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Learning+Disabilities+-+A+Contemporary+Journal%22">Learning Disabilities - A Contemporary Journal</searchLink>. 2025, Vol. 23 Issue 2, p201-216. 16p.
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  Data: *<searchLink fieldCode="DE" term="%22Learning+disabilities%22">Learning disabilities</searchLink><br />*<searchLink fieldCode="DE" term="%22Fourth+grade+%28Education%29%22">Fourth grade (Education)</searchLink><br />*<searchLink fieldCode="DE" term="%22Activity+programs+in+education%22">Activity programs in education</searchLink><br />*<searchLink fieldCode="DE" term="%22Inclusive+education%22">Inclusive education</searchLink><br />*<searchLink fieldCode="DE" term="%22Educational+intervention%22">Educational intervention</searchLink><br /><searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Constant Time Delay (CTD) is a structured, error-reducing teaching strategy with promising applications for students with mathematical learning difficulties (MLD). In this study, we systematically replicated CTD in a German inclusive classroom to evaluate its effects on multiplication fact fluency. Two fourth-grade boys with persistent multiplication difficulties but adequate addition skills participated in parallel singlecase experiments using two multiple-baseline designs across the 6-, 7-, and 8-times tables. CTD was implemented through flashcard practice, initially supported by skip counting and later complemented with math racetrack activities for motivation. Results demonstrated immediate and substantial gains in multiplication fluency for both students, confirmed through visual analysis, effect size indices (PEM-T, Tau-U), and hierarchical piecewise regression. Social validity ratings indicated high acceptance and perceived effectiveness. Limitations include the short intervention period and the combined use of supplemental strategies, findings provide preliminary evidence that CTD is a feasible and effective method for strengthening arithmetic fact retrieval in students with MLD. Future research should pursue larger-scale replications, long-term followup, and systematic isolation of CTD components to establish a stronger evidence base. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Learning Disabilities - A Contemporary Journal is the property of Learning Disabilities Worldwide and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 16
        StartPage: 201
    Subjects:
      – SubjectFull: Learning disabilities
        Type: general
      – SubjectFull: Fourth grade (Education)
        Type: general
      – SubjectFull: Activity programs in education
        Type: general
      – SubjectFull: Inclusive education
        Type: general
      – SubjectFull: Educational intervention
        Type: general
      – SubjectFull: Multiplication
        Type: general
    Titles:
      – TitleFull: Using Constant Time Delay to Teach Multiplication Facts to Two Fourth-Grade Boys with Learning Difficulties.
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            NameFull: Bell, Linda
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            NameFull: Grünke, Matthias
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            NameFull: Barwasser, Anne
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            NameFull: Hoff, Susanne
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            – D: 01
              M: 09
              Text: 2025
              Type: published
              Y: 2025
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            – TitleFull: Learning Disabilities - A Contemporary Journal
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