Dynamic Spatial Diagrams and Solid Geometric Figures
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| Title: | Dynamic Spatial Diagrams and Solid Geometric Figures |
|---|---|
| Language: | English |
| Authors: | Bock, Camden, Dimmel, Justin |
| Source: | North American Chapter of the International Group for the Psychology of Mathematics Education. 2021 (pter). |
| Availability: | North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/ |
| Peer Reviewed: | Y |
| Page Count: | 10 |
| Publication Date: | 2021 |
| Document Type: | Speeches/Meeting Papers Reports - Research |
| Education Level: | Higher Education Postsecondary Education Elementary Education |
| Descriptors: | Visual Aids, Mathematics Instruction, Geometric Concepts, Spatial Ability, Teaching Methods, Preservice Teachers, Preservice Teacher Education, Elementary School Teachers, Persuasive Discourse, Thinking Skills, Models, Learning Processes, Case Studies, Computer Simulation, Concept Formation, Student Attitudes |
| Abstract: | This paper reports on a study of learners' use of immersive spatial diagrams to make arguments about three-dimensional geometric figures. Immersive spatial diagrams allow learners to use the movement of their bodies to control their point of view, while immersed in three-dimensional digital renderings. We present analysis of two pairs of pre-service elementary teachers' argumentation about the shearing of pyramids, using the ck¢-enriched Toulmin Model of Argumentation (Pedemonte & Balacheff, 2016) to link the affordances of immersive spatial diagrams to the learners' mathematical reasoning. We share how one pair of learners took points of view bending beside and standing within the pyramid to describe how the space inside is transformed without reference to one- or two-dimensional components of the representation. [For the complete proceedings, see ED630060.] |
| Abstractor: | As Provided |
| Entry Date: | 2023 |
| Accession Number: | ED630170 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED630170 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Items | – Name: Title Label: Title Group: Ti Data: Dynamic Spatial Diagrams and Solid Geometric Figures – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bock%2C+Camden%22">Bock, Camden</searchLink><br /><searchLink fieldCode="AR" term="%22Dimmel%2C+Justin%22">Dimmel, Justin</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22North+American+Chapter+of+the+International+Group+for+the+Psychology+of+Mathematics+Education%22"><i>North American Chapter of the International Group for the Psychology of Mathematics Education</i></searchLink>. 2021 (pter). – Name: Avail Label: Availability Group: Avail Data: North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 10 – Name: DatePubCY Label: Publication Date Group: Date Data: 2021 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Speeches/Meeting Papers<br />Reports - Research – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Higher+Education%22">Higher Education</searchLink><br /><searchLink fieldCode="EL" term="%22Postsecondary+Education%22">Postsecondary Education</searchLink><br /><searchLink fieldCode="EL" term="%22Elementary+Education%22">Elementary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Visual+Aids%22">Visual Aids</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Spatial+Ability%22">Spatial Ability</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Preservice+Teachers%22">Preservice Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Preservice+Teacher+Education%22">Preservice Teacher Education</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Teachers%22">Elementary School Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Persuasive+Discourse%22">Persuasive Discourse</searchLink><br /><searchLink fieldCode="DE" term="%22Thinking+Skills%22">Thinking Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Models%22">Models</searchLink><br /><searchLink fieldCode="DE" term="%22Learning+Processes%22">Learning Processes</searchLink><br /><searchLink fieldCode="DE" term="%22Case+Studies%22">Case Studies</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+Simulation%22">Computer Simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Concept+Formation%22">Concept Formation</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Attitudes%22">Student Attitudes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper reports on a study of learners' use of immersive spatial diagrams to make arguments about three-dimensional geometric figures. Immersive spatial diagrams allow learners to use the movement of their bodies to control their point of view, while immersed in three-dimensional digital renderings. We present analysis of two pairs of pre-service elementary teachers' argumentation about the shearing of pyramids, using the ck¢-enriched Toulmin Model of Argumentation (Pedemonte & Balacheff, 2016) to link the affordances of immersive spatial diagrams to the learners' mathematical reasoning. We share how one pair of learners took points of view bending beside and standing within the pyramid to describe how the space inside is transformed without reference to one- or two-dimensional components of the representation. [For the complete proceedings, see ED630060.] – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2023 – Name: AN Label: Accession Number Group: ID Data: ED630170 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=ED630170 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 10 Subjects: – SubjectFull: Visual Aids Type: general – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Geometric Concepts Type: general – SubjectFull: Spatial Ability Type: general – SubjectFull: Teaching Methods Type: general – SubjectFull: Preservice Teachers Type: general – SubjectFull: Preservice Teacher Education Type: general – SubjectFull: Elementary School Teachers Type: general – SubjectFull: Persuasive Discourse Type: general – SubjectFull: Thinking Skills Type: general – SubjectFull: Models Type: general – SubjectFull: Learning Processes Type: general – SubjectFull: Case Studies Type: general – SubjectFull: Computer Simulation Type: general – SubjectFull: Concept Formation Type: general – SubjectFull: Student Attitudes Type: general Titles: – TitleFull: Dynamic Spatial Diagrams and Solid Geometric Figures Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bock, Camden – PersonEntity: Name: NameFull: Dimmel, Justin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2021 Numbering: – Type: issue Value: pter Titles: – TitleFull: North American Chapter of the International Group for the Psychology of Mathematics Education Type: main |
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