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ERIC Number: EJ1154620
Record Type: Journal
Publication Date: 2017-Sep
Pages: 15
Abstractor: As Provided
ISSN: ISSN-0268-3679
The Construction of a Square through Multiple Approaches to Foster Learners' Mathematical Thinking
Reyes-Rodriguez, Aaron; Santos-Trigo, Manuel; Barrera-Mora, Fernando
Teaching Mathematics and Its Applications, v36 n3 p167-181 Sep 2017
The task of constructing a square is used to argue that looking for and pursuing several solution routes is a powerful principle to identify and analyse properties of mathematical objects, to understand problem statements and to engage in mathematical thinking activities. Developing mathematical understanding requires that students delve into mathematical objects' properties to formulate questions as a way to identify and explore mathematical relationships that eventually are supported through visual and geometric arguments. In this process, the use of a Dynamic Geometry System, such as GeoGebra, becomes important to represent and examine dynamically some attributes (area, lengths and perimeter) and properties of embedded objects. As a result, some of GeoGebra's affordances (dragging or moving objects orderly, finding loci, quantifying parameters, using sliders, etc.) become important in detecting invariants and patterns and ways to validate mathematical relationships.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A