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Pre-Service Elementary Teachers' Use Of Spatial Diagrams: Investigations Of Unbounded Shearing On Solid Figures, Camden G. Bock
Pre-Service Elementary Teachers' Use Of Spatial Diagrams: Investigations Of Unbounded Shearing On Solid Figures, Camden G. Bock
Electronic Theses and Dissertations
Mithala and Balacheff (2019) describe three difficulties with two-dimensional representations of three-dimensional geometrical objects: “it is no longer possible to confuse the representation with the object itself,” visually observed relationships can be misleading, and analysis of the representation requires the use of lower-dimensional theoretical properties. Despite these difficulties, students are routinely expected to learn about three-dimensional figures through interacting with two-dimensional inscriptions. Three-dimensional alternatives include diagrams realized through various spatial inscriptions (e.g., Dimmel & Bock, 2019; Gecu-Parmaksiz & Delialioglu, 2019; Lai, McMahan, Kitagawa & Connolly, 2016; Ng and Sinclair, 2018). Such diagrams are three-dimensional in the sense that they occupy …