REVERSIBLE PARTITIVE FRACTION SCHEME IN A PST: THE CASE OF ANNIE.

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Title: REVERSIBLE PARTITIVE FRACTION SCHEME IN A PST: THE CASE OF ANNIE.
Authors: Valero, Jonathan1 jrojasv@iu.edu, Hackenberg, Amy1 ahackenb@iu.edu
Source: Conference Papers -- Psychology of Mathematics & Education of North America. 2025, p837-841. 5p.
Subject Terms: *Student teachers, *Experimental methods in education, *Learning curve
Abstract: This paper describes the trajectory of a preservice elementary teacher's (PST) construction of a reversible partitive fraction scheme (RPFS) and its role in the construction of a scheme to solve sharing fraction division problems (SFDPs). Two PSTs participated in a 10-episode teaching experiment to explore their construction of fraction knowledge. In this paper, we document part of the trajectory of one PST, Annie, who had not constructed an RPFS at the beginning of the experiment. We found that the lack of construction of an RPFS led to Annie solving SFDPs as measurement fraction division problems (MFDPs). However, in later episodes, Annie showed evidence of the initial construction of both her RPFS and a scheme to solve SFDPs. [ABSTRACT FROM AUTHOR]
Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America 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: REVERSIBLE PARTITIVE FRACTION SCHEME IN A PST: THE CASE OF ANNIE.
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  Data: This paper describes the trajectory of a preservice elementary teacher's (PST) construction of a reversible partitive fraction scheme (RPFS) and its role in the construction of a scheme to solve sharing fraction division problems (SFDPs). Two PSTs participated in a 10-episode teaching experiment to explore their construction of fraction knowledge. In this paper, we document part of the trajectory of one PST, Annie, who had not constructed an RPFS at the beginning of the experiment. We found that the lack of construction of an RPFS led to Annie solving SFDPs as measurement fraction division problems (MFDPs). However, in later episodes, Annie showed evidence of the initial construction of both her RPFS and a scheme to solve SFDPs. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America 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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      – Code: eng
        Text: English
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        StartPage: 837
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      – SubjectFull: Student teachers
        Type: general
      – SubjectFull: Experimental methods in education
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      – SubjectFull: Learning curve
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      – TitleFull: REVERSIBLE PARTITIVE FRACTION SCHEME IN A PST: THE CASE OF ANNIE.
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            NameFull: Valero, Jonathan
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            NameFull: Hackenberg, Amy
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            – D: 01
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              Text: 2025
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              Y: 2025
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