Mathematical creativity and geometry: The influence of geometrical figure apprehension on the production of multiple solutions
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6 février 2019
- handle: 10670/1.ynj02d
- hal: hal-02402180
info:eu-repo/semantics/OpenAccess
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Panagiotis Gridos et al., « Mathematical creativity and geometry: The influence of geometrical figure apprehension on the production of multiple solutions », HAL-SHS : sciences de l'éducation, ID : 10670/1.ynj02d
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The aim of the study is to investigate the creativity demonstrated by students in multiple-solution tasks (MSTs) in geometry taking into account the role of geometrical figure. To this end, the test that was administered among 149 eleventh graders consisted of two types of problems: a. with and b. without the relevant figure. Findings revealed that fluency and flexibility were higher when the verbal description of the problem was accompanied by the relevant figure. The originality of students' solutions, though, did not differ in the two types of problems. The similarity analysis suggested distinct student profiles: (a) poor fluency and flexibility, (b) moderate fluency and flexibility and (c) high fluency and flexibility. Although the majority of students belong to the first two groups, qualitative results provide evidence that students managed to improve and gain high fluency and flexibility. Findings also indicated that geometrical figure apprehension is a prerequisite for high levels of creativity in geometry.