Semiotic Objectifications of the Compensation Strategy: En Route to the Reification of Integers
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| Format: | Artículo científico |
| Language: | en |
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Colegio Mexicano de Matemática Educativa A. C.
2006
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| _version_ | 1876477239933009920 |
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| author | Andreas Koukkoufis |
| author_facet | Andreas Koukkoufis |
| contents | Semiotic Objectifications of the Compensation Strategy: En Route to the Reification of Integers Andreas Koukkoufis Julian Williams Educación Integers Semiotics Theories of Learning We report an analysis of data from an experimental replication of Object-Process Linkingand Embedding (OPLE) in the case of integer arithmetic instruction originally developedby Linchevski and Williams (1999) in the realistic mathematics education (RME) tradition.Our analysis applies Radfords theory of semiotic objectification to reveal new insightsinto how reification is achieved. In particular the method of analysis shows how thefactual generalization of the so-called compensation strategy encapsulates the notionthat adding to one side is the same as subtracting from the other side: a vital groundingfor symbolic integer operations later. Other aspects of objectification are discussed thatare considered likely to be important to the semiotic chaining that students achieve inthe OPLE sequence that can lead to an intuitive grounding of integer operations. We argue that semiotic theory needs to be elaborated to understand the vital role of modelsand modelling in leveraging reifications in RME. 2006 artículo científico 1665-2436 https://www.redalyc.org/articulo.oa?id=33509908 en http://www.redalyc.org/revista.oa?id=335 Revista Latinoamericana de Investigación en Matemática Educativa, RELIME application/pdf Colegio Mexicano de Matemática Educativa A. C. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME (México) Num.Esp |
| format | Artículo científico |
| id | redalyc_33509908 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Colegio Mexicano de Matemática Educativa A. C. |
| spellingShingle | Semiotic Objectifications of the Compensation Strategy: En Route to the Reification of Integers Andreas Koukkoufis Educación Integers Semiotics Theories of Learning Semiotic Objectifications of the Compensation Strategy: En Route to the Reification of Integers Andreas Koukkoufis Julian Williams Educación Integers Semiotics Theories of Learning We report an analysis of data from an experimental replication of Object-Process Linkingand Embedding (OPLE) in the case of integer arithmetic instruction originally developedby Linchevski and Williams (1999) in the realistic mathematics education (RME) tradition.Our analysis applies Radfords theory of semiotic objectification to reveal new insightsinto how reification is achieved. In particular the method of analysis shows how thefactual generalization of the so-called compensation strategy encapsulates the notionthat adding to one side is the same as subtracting from the other side: a vital groundingfor symbolic integer operations later. Other aspects of objectification are discussed thatare considered likely to be important to the semiotic chaining that students achieve inthe OPLE sequence that can lead to an intuitive grounding of integer operations. We argue that semiotic theory needs to be elaborated to understand the vital role of modelsand modelling in leveraging reifications in RME. 2006 artículo científico 1665-2436 https://www.redalyc.org/articulo.oa?id=33509908 en http://www.redalyc.org/revista.oa?id=335 Revista Latinoamericana de Investigación en Matemática Educativa, RELIME application/pdf Colegio Mexicano de Matemática Educativa A. C. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME (México) Num.Esp |
| title | Semiotic Objectifications of the Compensation Strategy: En Route to the Reification of Integers |
| topic | Educación Integers Semiotics Theories of Learning |
| url | https://www.redalyc.org/articulo.oa?id=33509908 |