Institutional Relativity of Reduction within Arithmetical Fractions: An Analysis of Japanese, Indonesian, and Malaysian School Textbooks.
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| Title: | Institutional Relativity of Reduction within Arithmetical Fractions: An Analysis of Japanese, Indonesian, and Malaysian School Textbooks. |
|---|---|
| Authors: | Sahara, Sani1 (AUTHOR) sani@upi.edu, Suryadi, Didi1 (AUTHOR) ddsuryadi1@gmail.com, Turmudi, Turmudi1 (AUTHOR), Hendriyanto, Agus2 (AUTHOR), Muhaimin, Lukman Hakim1 (AUTHOR) |
| Source: | International Journal of Science & Mathematics Education. Oct2025, Vol. 23 Issue 7, p2397-2425. 29p. |
| Subject Terms: | *Institutional environment, *Educational resources, Rational numbers, Mathematical simplification, Contextual analysis, Knowledge transfer |
| Geographic Terms: | Indonesia, Malaysia, Japan |
| Abstract: | Didactic transposition transpose knowledge relatively across various institutions, or the place where knowledges live within. In this study we analyse the position and the role of reduction of fraction arithmetic, specifically on how the piece of knowledge takes account, in the mathematics school textbooks of Japan, Indonesia, and Malaysia. We follow the institutional analysis by the Anthropological Theory of the Didactic (ATD) as framework for our examination. Moreover, we also seek to contribute to both theoretical discourse and didactical practice, as the study also takes a part in the prospective study in the Didactical Design Research (DDR). As our model of analysis, in this paper, we propose a Reference Epistemological Model (REM) as an objective basis for our interpretation to the knowledge to be taught. Our findings show the varieties of types, positions, and roles of reduction within the praxeological organisations of each textbook. The roles in which reductions perform are distinctively unique for each textbook, as they are positioned differently in terms of technique and technology. Additionally, the cases in the arithmetical fractions are also discussed. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Science & Mathematics Education is the property of Springer Nature 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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| Header | DbId: ehh DbLabel: Education Research Complete An: 189055851 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Institutional Relativity of Reduction within Arithmetical Fractions: An Analysis of Japanese, Indonesian, and Malaysian School Textbooks. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sahara%2C+Sani%22">Sahara, Sani</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sani@upi.edu</i><br /><searchLink fieldCode="AR" term="%22Suryadi%2C+Didi%22">Suryadi, Didi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ddsuryadi1@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Turmudi%2C+Turmudi%22">Turmudi, Turmudi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hendriyanto%2C+Agus%22">Hendriyanto, Agus</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Muhaimin%2C+Lukman+Hakim%22">Muhaimin, Lukman Hakim</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Science+%26+Mathematics+Education%22">International Journal of Science & Mathematics Education</searchLink>. Oct2025, Vol. 23 Issue 7, p2397-2425. 29p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Institutional+environment%22">Institutional environment</searchLink><br />*<searchLink fieldCode="DE" term="%22Educational+resources%22">Educational resources</searchLink><br /><searchLink fieldCode="DE" term="%22Rational+numbers%22">Rational numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+simplification%22">Mathematical simplification</searchLink><br /><searchLink fieldCode="DE" term="%22Contextual+analysis%22">Contextual analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Knowledge+transfer%22">Knowledge transfer</searchLink> – Name: SubjectGeographic Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Indonesia%22">Indonesia</searchLink><br /><searchLink fieldCode="DE" term="%22Malaysia%22">Malaysia</searchLink><br /><searchLink fieldCode="DE" term="%22Japan%22">Japan</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Didactic transposition transpose knowledge relatively across various institutions, or the place where knowledges live within. In this study we analyse the position and the role of reduction of fraction arithmetic, specifically on how the piece of knowledge takes account, in the mathematics school textbooks of Japan, Indonesia, and Malaysia. We follow the institutional analysis by the Anthropological Theory of the Didactic (ATD) as framework for our examination. Moreover, we also seek to contribute to both theoretical discourse and didactical practice, as the study also takes a part in the prospective study in the Didactical Design Research (DDR). As our model of analysis, in this paper, we propose a Reference Epistemological Model (REM) as an objective basis for our interpretation to the knowledge to be taught. Our findings show the varieties of types, positions, and roles of reduction within the praxeological organisations of each textbook. The roles in which reductions perform are distinctively unique for each textbook, as they are positioned differently in terms of technique and technology. Additionally, the cases in the arithmetical fractions are also discussed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Science & Mathematics Education is the property of Springer Nature 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10763-025-10554-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 2397 Subjects: – SubjectFull: Institutional environment Type: general – SubjectFull: Educational resources Type: general – SubjectFull: Rational numbers Type: general – SubjectFull: Mathematical simplification Type: general – SubjectFull: Contextual analysis Type: general – SubjectFull: Knowledge transfer Type: general – SubjectFull: Indonesia Type: general – SubjectFull: Malaysia Type: general – SubjectFull: Japan Type: general Titles: – TitleFull: Institutional Relativity of Reduction within Arithmetical Fractions: An Analysis of Japanese, Indonesian, and Malaysian School Textbooks. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sahara, Sani – PersonEntity: Name: NameFull: Suryadi, Didi – PersonEntity: Name: NameFull: Turmudi, Turmudi – PersonEntity: Name: NameFull: Hendriyanto, Agus – PersonEntity: Name: NameFull: Muhaimin, Lukman Hakim IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 15710068 Numbering: – Type: volume Value: 23 – Type: issue Value: 7 Titles: – TitleFull: International Journal of Science & Mathematics Education Type: main |
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