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- W3178428975 abstract "• Appropriation of DGS tools promotes geometrical knowledge. • Constructing a different hierarchy of dependencies is important in learners’ reasoning. • DGS tools provide opportunities to afford hierarchy and classifications. • DGS tools promote the realizations of properties and subsets of geometric concepts. This case study examines instrumented techniques of a pre-service mathematics teacher when utilising a dynamic geometry system (DGS) for the construction of cyclic quadrilaterals. Equally, it investigates her understanding of the hierarchical relations between the constructed cyclic quadrilaterals. For this aim, the hierarchical classification and instrumental genesis constitute the theoretical framework of our study. The data was collected through task-based interviews in which the participant was asked to construct the cyclic quadrilateral without using the circle tool in DGS. Data analysis was carried out to examine the participant’s development of construction strategies related to her instrumented techniques and her reasoning regarding the properties of different cyclic quadrilaterals. The analysis showed that the participant’s initial instrumented techniques enabled her to construct subsets of the cyclic quadrilaterals. Also, the process of reaching the most inclusive cyclic quadrilateral affected both her instrumented techniques and her understanding about the hierarchical relations between the constructed quadrilaterals." @default.
- W3178428975 created "2021-07-19" @default.
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- W3178428975 date "2021-09-01" @default.
- W3178428975 modified "2023-09-24" @default.
- W3178428975 title "Construction of cyclic quadrilateral: A pre-service teacher’s journey from subsets to the generic concept through instrumentation of a dynamic technology" @default.
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- W3178428975 doi "https://doi.org/10.1016/j.jmathb.2021.100893" @default.
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