Early-years teachers’ concept images and concept definitions: triangles, circles, and cylinders

Tsamir, Pessia; Tirosh, Dina; Levenson, Esther; Barkai, Ruthi; Tabach, Michal

doi:10.1007/s11858-014-0641-8

Cited by 58 publications

(44 citation statements)

References 28 publications

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“…The paper by Tsamir et al (2015, this issue) focuses on the concept images and concept definitions of early childhood teachers from Israel. Their research demonstrates that some teachers had difficulties with the definitions of some figures and could Context and participants Study Tsamir, Tirosh, Levenson, Barkai, and Tabach (2015) Israel Teachers with a first degree in education who were teaching 4-to 6-year olds…”

Section: Teaching Of Geometry and Pd Of Teachersmentioning

confidence: 99%

Geometry in the early years: a commentary

Dindyal

2015

ZDM Mathematics Education

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Section: Teaching Of Geometry and Pd Of Teachersmentioning

confidence: 99%

Geometry in the early years: a commentary

Dindyal

2015

ZDM Mathematics Education

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Section: Understanding Of Two-dimensional (2-d) Figures By Childrenmentioning

confidence: 99%

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

Swoboda

Vighi

2016

ICME-13 Topical Surveys

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This survey confirms that one of the research trends in early geometrical reasoning has been a focus on creating a theoretical basis for research in this area. The main reason for the work on the theoretical foundations has been the fact that building geometrical concepts proceeds according to other regularities more than it takes place while building arithmetic knowledge. In this way, a broad research area was outlined. The first theory was created by Dina and Pierre Van Hiele (the Netherlands), but many on-going studies are related to this issue and many have focused on analysing and further expanding this theory.In parallel, new conceptual approaches that capture the question of the theoretical basis in a different way have been created. They should be considered complementarily, as they repeatedly point to the other aspects of the geometrical knowledge. The examples discussed in this paper come from the circles of scholars gathered around Alain Kuzniak (France) and Milan Hejný (Czech Republic). A networking between Van Hiele's theory and the description of geometrical paradigms created by Kuzniak examine ways that children work at the lowest levels. This allows analysis of how they gain experience, which is the basis for the transition in the area of further paradigms. This is therefore a departure from the theories that have a linear structure and focus only on a successive development.Milan Hejný indicates new aspects for descriptions of understanding of geometrical concepts, but first and foremost, he connects his proposals with the concept of schema-oriented education, where creating skills and procedures should be seen from a long perspective. In his theoretical background, a relatively new trend concerning the development of geometric reasoning is a pro-ceptual approach to the concepts. The formation of geometrical concepts is related to the empirical

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“…Another factor determining their choice was typicality of the shape (during research between typical rectangles and triangles, very narrow rectangles or scalene triangles were placed). Research into the understanding of the concept of triangles (Hejný 1993;Tsamir et al 2015; Vighi 2003a, b) shows that, in this case, the primal understanding refers only to an equilateral triangle. Studies in which children were deprived of the possibility to manipulate objects has determined that their understanding of the figures is mostly at the visual level.…”

Section: Understanding Of Two-dimensional (2-d) Figures By Childrenmentioning

confidence: 99%

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

Swoboda

Vighi

2016

ICME-13 Topical Surveys

View full text Add to dashboard Cite

Early-years teachers’ concept images and concept definitions: triangles, circles, and cylinders

Cited by 58 publications

References 28 publications

Geometry in the early years: a commentary

Geometry in the early years: a commentary

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

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