Error analysis of logarithm problems.

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Title: Error analysis of logarithm problems.
Authors: KELECSÉNYI, KLARA1 kelecsenyi.klara@nje.hu, KRAUCZI, ÉVA OSZTÉNYINÉ1 osztenyine.eva@nje.hu
Source: Review of Science Mathematics & ICT Education. 2026, Vol. 20 Issue 1, p59-80. 22p.
Subject Terms: *Mathematics education, *Assessment of education, *Bachelor's degree, Logarithms
Abstract (English): Error analysis can be a tool to predict future errors made by students, to explain how and why students make them, and to help us to resolve misconceptions in our teaching). In the paper we categorize errors committed by first year undergraduate students in logarithm problems in a written class test. We have categorized the errors according to two dimensions, namely the type and the source of errors. By using this two-dimensional grouping, we were able to classify the majority of typical logarithm errors listed in the literature. We were able to clearly categorize the errors made during the post-test carried out later into classes based on the originally given categorization. The distribution of post-test errors was not significantly different from the original distribution. [ABSTRACT FROM AUTHOR]
Abstract (French): L'analyse des erreurs peut servir à anticiper les erreurs futures commises par les étudiants, à expliquer comment et pourquoi ils les commettent, et à nous aider à corriger les idées fausses dans notre enseignement. Dans cet article, nous classons les erreurs commises par des étudiants de première année de licence dans des exercices sur les logarithmes lors d'un contrôle écrit en classe. Nous avons classé les erreurs selon deux critères, à savoir leur type et leur origine. Grâce à ce regroupement en deux dimensions, nous avons pu classer la plupart des erreurs typiques liées aux logarithmes répertoriés dans la littérature. Nous avons ainsi pu classer clairement les erreurs commises lors du test de vérification réalisé ultérieurement en différentes catégories, sur la base de la classification initialement établie. La répartition des erreurs observées après le test ne différait pas de manière significative de la répartition initiale. [ABSTRACT FROM AUTHOR]
Copyright of Review of Science Mathematics & ICT Education is the property of Library & Information Center 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: Error analysis of logarithm problems.
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  Data: <searchLink fieldCode="AR" term="%22KELECSÉNYI%2C+KLARA%22">KELECSÉNYI, KLARA</searchLink><relatesTo>1</relatesTo><i> kelecsenyi.klara@nje.hu</i><br /><searchLink fieldCode="AR" term="%22KRAUCZI%2C+ÉVA+OSZTÉNYINÉ%22">KRAUCZI, ÉVA OSZTÉNYINÉ</searchLink><relatesTo>1</relatesTo><i> osztenyine.eva@nje.hu</i>
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  Data: <searchLink fieldCode="JN" term="%22Review+of+Science+Mathematics+%26+ICT+Education%22">Review of Science Mathematics & ICT Education</searchLink>. 2026, Vol. 20 Issue 1, p59-80. 22p.
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  Data: *<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Assessment+of+education%22">Assessment of education</searchLink><br />*<searchLink fieldCode="DE" term="%22Bachelor's+degree%22">Bachelor's degree</searchLink><br /><searchLink fieldCode="DE" term="%22Logarithms%22">Logarithms</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: Error analysis can be a tool to predict future errors made by students, to explain how and why students make them, and to help us to resolve misconceptions in our teaching). In the paper we categorize errors committed by first year undergraduate students in logarithm problems in a written class test. We have categorized the errors according to two dimensions, namely the type and the source of errors. By using this two-dimensional grouping, we were able to classify the majority of typical logarithm errors listed in the literature. We were able to clearly categorize the errors made during the post-test carried out later into classes based on the originally given categorization. The distribution of post-test errors was not significantly different from the original distribution. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (French)
  Group: Ab
  Data: L'analyse des erreurs peut servir à anticiper les erreurs futures commises par les étudiants, à expliquer comment et pourquoi ils les commettent, et à nous aider à corriger les idées fausses dans notre enseignement. Dans cet article, nous classons les erreurs commises par des étudiants de première année de licence dans des exercices sur les logarithmes lors d'un contrôle écrit en classe. Nous avons classé les erreurs selon deux critères, à savoir leur type et leur origine. Grâce à ce regroupement en deux dimensions, nous avons pu classer la plupart des erreurs typiques liées aux logarithmes répertoriés dans la littérature. Nous avons ainsi pu classer clairement les erreurs commises lors du test de vérification réalisé ultérieurement en différentes catégories, sur la base de la classification initialement établie. La répartition des erreurs observées après le test ne différait pas de manière significative de la répartition initiale. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Review of Science Mathematics & ICT Education is the property of Library & Information Center 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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        Value: 10.26220/rev.5517
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 59
    Subjects:
      – SubjectFull: Mathematics education
        Type: general
      – SubjectFull: Assessment of education
        Type: general
      – SubjectFull: Bachelor's degree
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            – D: 01
              M: 01
              Text: 2026
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              Y: 2026
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