Transcription of The van Hiele Levels of Geometric Understanding
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The van Hiele Levels of Geometric Understanding
The van Hiele Levels ofGeometric UnderstandingbyMarguerite MasonAssistant Professor of Mathematics EducationUniversity of Virginia,Charlottesville,VirginiaA husband-and-wife team of Dutch educators,Pierre van Hiele and Dina vanHiele-Geldof,noticed the difficulties that their students had in observations led them to develop a theory involving Levels ofthinking in geometry that students pass through as they progress from merelyrecognizing a figure to being able to write a formal Geometric explains why many students encounter difficulties in their geometrycourse,especially with formal proofs. The van Hieles believed that writingproofs requires thinking at a comparatively high level,and that many studentsneed to have more experiences in thinking at lower Levels before learning formalgeometric Asked are the van Hiele Levels of geometry Understanding ?
oper ating at this le vel might list all the properties the student knows, but not ... order to pr ov e that a figure is a squar e, all the properties must be pr ov ed . T he teacher ,w ho is thinking at a higher le vel, knows not only the properties of a squar e, but also which ones can be used to pr ov e that a figure is a ...
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