Generalization in fifth graders within a functional approach
This article discusses evidence of 24 fifth graders’ (10-11 year olds’) ability to generalize when solving a problem which involves a linear function. Analyzed in the context of the functional approach of early algebra, the findings show that 3 students generalized both when solving specific instanc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad de Granada
2018-04-01
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| Series: | PNA: Revista de Investigación en Didáctica de la Matemática |
| Subjects: | |
| Online Access: | http://revistaseug.ugr.es/index.php/pna/article/view/pna.v12i3.6643/6337 |
| _version_ | 1818792118646210560 |
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| author | Eder Pinto María C. Cañadas |
| author_facet | Eder Pinto María C. Cañadas |
| author_sort | Eder Pinto |
| collection | DOAJ |
| description | This article discusses evidence of 24 fifth graders’ (10-11 year olds’) ability to generalize when solving a problem which involves a linear function. Analyzed in the context of the functional approach of early algebra, the findings show that 3 students generalized both when solving specific instances and when asked to provide the general formula; while 15 students generalized only when asked to define the general formula. The results are described in terms of the functional relationship identified, the types of representation used to express them and the type of questions in which students generalized their answers. Most of the pupils who generalized did so based on the correspondence between pairs of values in the function at issue. |
| first_indexed | 2024-12-18T15:22:10Z |
| format | Article |
| id | doaj.art-344d6db5c16042e9b0a27e91dd229997 |
| institution | Directory Open Access Journal |
| issn | 1887-3987 1887-3987 |
| language | English |
| last_indexed | 2024-12-18T15:22:10Z |
| publishDate | 2018-04-01 |
| publisher | Universidad de Granada |
| record_format | Article |
| series | PNA: Revista de Investigación en Didáctica de la Matemática |
| spelling | doaj.art-344d6db5c16042e9b0a27e91dd2299972022-12-21T21:03:21ZengUniversidad de GranadaPNA: Revista de Investigación en Didáctica de la Matemática1887-39871887-39872018-04-01123173184Generalization in fifth graders within a functional approachEder PintoMaría C. CañadasThis article discusses evidence of 24 fifth graders’ (10-11 year olds’) ability to generalize when solving a problem which involves a linear function. Analyzed in the context of the functional approach of early algebra, the findings show that 3 students generalized both when solving specific instances and when asked to provide the general formula; while 15 students generalized only when asked to define the general formula. The results are described in terms of the functional relationship identified, the types of representation used to express them and the type of questions in which students generalized their answers. Most of the pupils who generalized did so based on the correspondence between pairs of values in the function at issue.http://revistaseug.ugr.es/index.php/pna/article/view/pna.v12i3.6643/6337generalizationfunctional relationshiprepresentationsfunctional thinking |
| spellingShingle | Eder Pinto María C. Cañadas Generalization in fifth graders within a functional approach PNA: Revista de Investigación en Didáctica de la Matemática generalization functional relationship representations functional thinking |
| title | Generalization in fifth graders within a functional approach |
| title_full | Generalization in fifth graders within a functional approach |
| title_fullStr | Generalization in fifth graders within a functional approach |
| title_full_unstemmed | Generalization in fifth graders within a functional approach |
| title_short | Generalization in fifth graders within a functional approach |
| title_sort | generalization in fifth graders within a functional approach |
| topic | generalization functional relationship representations functional thinking |
| url | http://revistaseug.ugr.es/index.php/pna/article/view/pna.v12i3.6643/6337 |
| work_keys_str_mv | AT ederpinto generalizationinfifthgraderswithinafunctionalapproach AT mariaccanadas generalizationinfifthgraderswithinafunctionalapproach |