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Analysis of Functional Dependency in Interactive Diagrams w.r.t. vanHiele Theory and Bloom’s Revised Taxonomy

Year: 2026
Type: article
Abstract: Dynamic applications in mathematics, supports interactive textbooks recently. These products enhance doing and making inquiries in mathematics for students, and they include functional dependency. 12th grade dynamic applications from OGM web page of MoNE, were classified on van Hiele theory and Bloom’ s revised taxonomy. These applications were analyzed for functional dependency afterwards. The ones which consist of functional dependency were analyzed based on number of variables, topology, if they include compulsory choices, and slider and dragging, via draw functions. Data analysis was done by three experts for selected applications and then w.r.t. the agreed characteristics, one expert finished the analysis after full expert agreement on decisions. Regarding all these variables, high school mathematics curriculum dynamic applications are discussed in depth for functional dependency. Qualitative research study (case analysis) was carried out by content analysis. Content analysis is supported by descriptive statistics. As a result, how these mathematical dynamic applications should be established regarding their functional dependency measures were discussed. All dynamic applications were analyzed for van Hiele and Bloom taxonomy and then selected applications (with high levels from both) were analyzed for functional dependency and related variables. It is hoped that the results could shed light to dynamic mathematics applications producers to develop interactive diagrams with functional dependency based on the instructional theories and mathematics teachers in turn to use them appropriately.
Institution: Marmara University
Language: English
Subfield: Education
Open Access status: diamond
OpenAlex ID: W7127045065
FWCI:
Cites: 8
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Related to: 10