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ERIC Number: EJ1299871
Record Type: Journal
Publication Date: 2021-Aug
Pages: 25
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2199-3246
EISSN: N/A
Available Date: N/A
"Whiteboxing" the Content of a Formal Mathematical Text in a Dynamic Geometry Environment
Jankvist, Uffe Thomas; Geraniou, Eirini
Digital Experiences in Mathematics Education, v7 n2 p222-246 Aug 2021
In this article, we provide an empirical example of how digital technology; in this case, GeoGebra may assist students in uncovering--or whiteboxing--the content of a mathematical proof, in this case that of Proposition 41 from Euclid's "Elements." In the discussion of the example, we look into the impact of GeoGebra's "dragging" functionality on students' interactions and the possession and development of students' proof schemes. The study and accompanying analysis illustrate that, despite the positive whiteboxing effects in relation to the mathematical content of the proposition, whiteboxing through dragging calls for caution in relation to students' work with proof and proving--in particular, in relation to students seeing the necessity for formal proof. Moreover, caution must be paid, e.g., by teachers, so that students do not jump to conclusions and in the process develop inexpedient mathematical proof schemes upon which they may stumble in their future mathematical work.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link-springer-com.bibliotheek.ehb.be/
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A