Panagiotis Gridos - Academia.edu (original) (raw)

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Papers by Panagiotis Gridos

Le Centre pour la Communication Scientifique Directe - HAL - Diderot, Feb 6, 2019

The aim of the study is to investigate the creativity demonstrated by students in multiple-soluti... more 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.

International Journal of Mathematics Trends and Technology

Journal of Research in Science Mathematics and Technology Education

This study aims to investigate high school students’ geometry learning by focusing on mathematica... more This study aims to investigate high school students’ geometry learning by focusing on mathematical creativity and its relationship with visualisation and geometrical figure apprehension. The presentation of a geometrical task and its influence on students’ mathematical creativity is the main topic investigated. The authors combine theory and research in mathematical creativity, considering Roza Leikin’s research work on Multiple-Solution Tasks with theory and research in visualisation and geometrical figure apprehension, mainly considering Raymond Duval’s work. The relations between creativity, visualization and geometrical figure apprehension are examined through four Geometry Multiple-Solution Tasks given to high school students in Greece. The geometrical tasks are divided into two categories depending on whether their wording is accompanied by the relevant figure or not. The results of the study indicate a multidimensional character of relations among creativity, visualization an...

EDULEARN21 Proceedings, 2021

The European Educational Researcher

This study aims to examine the relation between spatial ability and creativity in Geometry. Data ... more This study aims to examine the relation between spatial ability and creativity in Geometry. Data was collected from 94 ninth graders. Three spatial abilities were investigated: spatial visualization, spatial relations and closure flexibility. As for students' creativity, it was examined through a multiple solution problem in Geometry focusing on three components of creativity: fluency, flexibility, and originality. The results revealed that spatial visualization predicted flexibility and originality while closure flexibility predicted all creativity components. Additionally, it was deduced that auxiliary constructions played an essential role in the problem-solution process. Finally, further study opportunities for the teaching and learning of Geometry are discussed.

International Journal of Science and Mathematics Education