Non‐routine mathematical problems and the strategies used by gifted students: A case study.
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| Title: | Non‐routine mathematical problems and the strategies used by gifted students: A case study. |
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| Authors: | García‐Moya, Melody1, Marcos, Susana2, Fernández‐Cézar, Raquel3 raquel.fcezar@uclm.es |
| Source: | Journal of Research in Special Educational Needs. Oct2024, Vol. 24 Issue 4, p1175-1189. 15p. |
| Subject Terms: | *Problem solving, *Metacognition, Spatial analysis (Statistics), Mathematics, Descriptive statistics |
| Abstract: | Many gifted students fail to be diagnosed, preventing them from receiving an education that is adapted to their characteristics, with activities that challenge their minds. Mathematics is one of the subjects in which they can demonstrate talent, where they often exhibit high skills in solving problems, handling numbers and performing spatial representations. One of the contexts in which these characteristics can be addressed is the resolution of non‐routine problems. Thus, the purpose of this exploratory, observational and descriptive case study was to present a battery of challenging activities to a 10‐year‐old gifted student and identify the strategies he uses when solving non‐routine problems, with Pólya's method being used to guide him to reach one or more solutions. The results show that the activities proposed were challenging for the student, who used four strategies when solving the non‐routine problems, with partial goals being the most widely used in problems of visual discrimination, and the use of patterns being the most frequently leveraged in numerical skills problems. This study provides teachers with resources that foster motivation among talented students and address their needs. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Research in Special Educational Needs is the property of Wiley-Blackwell 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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| Abstract: | Many gifted students fail to be diagnosed, preventing them from receiving an education that is adapted to their characteristics, with activities that challenge their minds. Mathematics is one of the subjects in which they can demonstrate talent, where they often exhibit high skills in solving problems, handling numbers and performing spatial representations. One of the contexts in which these characteristics can be addressed is the resolution of non‐routine problems. Thus, the purpose of this exploratory, observational and descriptive case study was to present a battery of challenging activities to a 10‐year‐old gifted student and identify the strategies he uses when solving non‐routine problems, with Pólya's method being used to guide him to reach one or more solutions. The results show that the activities proposed were challenging for the student, who used four strategies when solving the non‐routine problems, with partial goals being the most widely used in problems of visual discrimination, and the use of patterns being the most frequently leveraged in numerical skills problems. This study provides teachers with resources that foster motivation among talented students and address their needs. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14713802 |
| DOI: | 10.1111/1471-3802.12695 |
