ERIC Number: EJ1382220
Record Type: Journal
Publication Date: 2022
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1744-2710
EISSN: N/A
Available Date: N/A
Characterizing Learners' Construction of Geometry Diagrams in Dynamic Geometry Environments
Yao, Xiangquan
International Journal for Technology in Mathematics Education, v29 n4 p233-243 2022
As a distinct mode of mathematical representation and communication, geometry diagrams are both signs that represent abstract geometric concepts and visual images that offer graphical-spatial properties. Dynamic geometly environment offers a wide range of tools for its users to create and interact with geometry diagrams. In this paper, I propose a framework to characterize geometry diagrams that learners create in DGEs. The framework considers a learner's approach to creating a geometry diagram (i.e., perceptual-based, measurement-based, construction-based, and transformation-based), the driving force that guides the learner's specific actions in a DGE (i.e., tool-driven, and property-driven), and the constraints in the resulting diagram (i.e., drawing, underconstrained, overconstrained, and appropriately constrained). Examples of student work on two geometry construction problems are used to illustrate the use of the framework. These examples show that the proposed framework provides a useful tool to characterize geometry diagrams in DGEs.
Descriptors: Geometry, Visual Aids, Mathematics Instruction, Perception, Measurement, Secondary School Mathematics, Preservice Teachers, Mathematics Teachers, Problem Solving
Research Information Ltd. Grenville Court, Britwell Road, Burnham, Buckinghamshire, SL1 8DF, UK. Tel: +44-1628-600499; Fax: +44-1628-600488; e-mail: info@researchinformation.co.uk; Web site: https://researchinformation.co.uk/tme-information/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A