ERIC Number: EJ1417644
Record Type: Journal
Publication Date: 2024
Pages: 24
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2199-3246
EISSN: EISSN-2199-3254
Available Date: N/A
Opportunity to Learn Function Transformations in the Open-Access Geogebra Resources
Xiangquan Yao
Digital Experiences in Mathematics Education, v10 n1 p108-131 2024
This study aimed to examine the quality of the open-access GeoGebra applets for function transformations by attending to the opportunity to learn function transformations afforded by them. Guided by the variation theory, this study conceptualized the opportunity to learn function transformations as the opportunity to discern critical features of function transformations. These critical features include function families in which function transformations are explored, representations of a parent function and its child function, and types and defining parameters of the transformations performed on the graph of a function. The results from the analysis show that the majority of existing GeoGebra applets use only one function family to explore a function transformation, of which quadratic and trigonometric functions are most prominent. The exploration of function translation is allowed in the largest number of applets followed by function dilation; function reflection over the x-axis, y-axis, and y = x; and function dilation. The functions in these applets are primarily represented symbolically and graphically and rarely have the defining parameters of transformations and corresponding points on the graphs of parent and child functions visible, which together suggest a graphical approach to function transformations. These results not only have implications for how to select existing GeoGebra applets for function transformations but also invite us to rethink how to design these applets that maximize students' opportunity to learn function transformations conceptually in dynamic mathematical environments.
Descriptors: Mathematics Education, Mathematical Concepts, Mathematics, Graphs, Electronic Learning, Technology Uses in Education, Computer Software, Educational Quality, Computer Software Evaluation
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