The Evolution from "I think it plus three" Towards "I think it is always plus three." Transition from Arithmetic Generalization to Algebraic Generalization.
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| Title: | The Evolution from "I think it plus three" Towards "I think it is always plus three." Transition from Arithmetic Generalization to Algebraic Generalization. |
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| Authors: | Torres, María D.1 (AUTHOR) mtorresg@ugr.es, Moreno, Antonio1 (AUTHOR), Vergel, Rodolfo2 (AUTHOR), Cañadas, María C.1 (AUTHOR) mconsu@ugr.es |
| Source: | International Journal of Science & Mathematics Education. Jun2024, Vol. 22 Issue 5, p971-991. 21p. |
| Subject Terms: | *Primary education, *Grading of students, Generalization, Semi-structured interviews, Arithmetic |
| Abstract: | This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to identify and describe generalization of a 2nd grade student (aged 7–8). Specifically, we focused on the transition from arithmetic to algebraic generalization. The notion of structure and its continuity in the generalization process are important for this transition. We are presenting a case study with a semi-structured interview where we proposed a task of contextualized generalization involving the function y = x + 3. Special attention was given to the structures evidenced and the type of generalization expressed by the student in the process. We noted that the student identified the correct structure for the task during the interview and that he evidenced a factual type of algebraic generalization. Due to the student's identification of the appropriate structure and the application of it to other different particular cases, we have observed a transition from arithmetic thinking to algebraic thinking. [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: 177221271 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The Evolution from "I think it plus three" Towards "I think it is always plus three." Transition from Arithmetic Generalization to Algebraic Generalization. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Torres%2C+María+D%2E%22">Torres, María D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mtorresg@ugr.es</i><br /><searchLink fieldCode="AR" term="%22Moreno%2C+Antonio%22">Moreno, Antonio</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Vergel%2C+Rodolfo%22">Vergel, Rodolfo</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cañadas%2C+María+C%2E%22">Cañadas, María C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mconsu@ugr.es</i> – 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>. Jun2024, Vol. 22 Issue 5, p971-991. 21p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Primary+education%22">Primary education</searchLink><br />*<searchLink fieldCode="DE" term="%22Grading+of+students%22">Grading of students</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink><br /><searchLink fieldCode="DE" term="%22Semi-structured+interviews%22">Semi-structured interviews</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic%22">Arithmetic</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to identify and describe generalization of a 2nd grade student (aged 7–8). Specifically, we focused on the transition from arithmetic to algebraic generalization. The notion of structure and its continuity in the generalization process are important for this transition. We are presenting a case study with a semi-structured interview where we proposed a task of contextualized generalization involving the function y = x + 3. Special attention was given to the structures evidenced and the type of generalization expressed by the student in the process. We noted that the student identified the correct structure for the task during the interview and that he evidenced a factual type of algebraic generalization. Due to the student's identification of the appropriate structure and the application of it to other different particular cases, we have observed a transition from arithmetic thinking to algebraic thinking. [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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=177221271 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10763-023-10414-6 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 971 Subjects: – SubjectFull: Primary education Type: general – SubjectFull: Grading of students Type: general – SubjectFull: Generalization Type: general – SubjectFull: Semi-structured interviews Type: general – SubjectFull: Arithmetic Type: general Titles: – TitleFull: The Evolution from "I think it plus three" Towards "I think it is always plus three." Transition from Arithmetic Generalization to Algebraic Generalization. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Torres, María D. – PersonEntity: Name: NameFull: Moreno, Antonio – PersonEntity: Name: NameFull: Vergel, Rodolfo – PersonEntity: Name: NameFull: Cañadas, María C. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 15710068 Numbering: – Type: volume Value: 22 – Type: issue Value: 5 Titles: – TitleFull: International Journal of Science & Mathematics Education Type: main |
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