The correlation between figural and conceptual properties of angle and cube in pre-service teachers geometric reasoning

Đokić, Olivera J.; Jelić, Mila S.; Ilić, M Svetlana

doi:10.5937/inovacije2001001d

Inovacije u nastavi

2020

DOI: 10.5937/inovacije2001001d

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The correlation between figural and conceptual properties of angle and cube in pre-service teachers geometric reasoning

Olivera J. Đokić¹,

Mila S. Jelić²,

M Svetlana Ilić³

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Parallelism and transversals in geometry: Experiences of fresh senior high school graduates into teacher education

Baidoo

Baidoo²

2023

Journal of Mathematics and Science Teacher

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This study was set up to investigate the newly admitted senior high school graduates’ geometric representation of corresponding and alternate angles in contexts where parallel and non-parallel lines are cut by a transversal. The study also examined their reasoning about parallelism. 25 volunteers, through a pilot study, responded to a series of geometric tasks meant to assess geometry reasoning and understanding. This study reports on the data dealing with the afore-mentioned concepts.<br /> The findings indicate that: the participants were more able to identify geometric representation of alternate angles (64%) than they were with corresponding angles (44%); participants’ written narratives demonstrated evidence of imprecision in their reasoning about parallelism; and most participants showed limited knowledge and use of necessary keywords to justify parallelism. The findings suggest participants showed diverse conceptual understanding of alternate and corresponding angles and demonstrate insufficient and ‘suspended’ knowledge of parallelism.

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Parallelism and transversals in geometry: Experiences of fresh senior high school graduates into teacher education

Baidoo

Baidoo²

2023

Journal of Mathematics and Science Teacher

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Mihailo Petrović Alas' contribution to development of interest for mathematics

Dejić¹

2020

Inovacije u nastavi

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Scientific review paper Mihailo Petrović Alas' contribution to development of interest for mathematicsSummary: Apart from his great creative work in mathematical science, Mihailo Petrović Alas, one of the greatest Serbian mathematicians, managed to write several works of methodological character which were intended for teachers at elementary and secondary schools. In these works Mihailo Petrović's aim was to popularize mathematics and show how teachers can also be creative and inventors within the domain of teaching. We give an overview of these works in our paper and acquaint the readers in detail with his interesting application of the Pythagorean theorem. A short retrospect of the complete scientific and pedagogical opus of Mihailo Petrović Alas will also be given in the paper.

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The correlation between figural and conceptual properties of angle and cube in pre-service teachers geometric reasoning

Cited by 2 publications

References 1 publication

Parallelism and transversals in geometry: Experiences of fresh senior high school graduates into teacher education

Parallelism and transversals in geometry: Experiences of fresh senior high school graduates into teacher education

Mihailo Petrović Alas' contribution to development of interest for mathematics

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