Designing to transform
High school students’ reasoning with geometric transformations in an authentic real-world project
Bibliographic Data
| ID | 21348613 |
|---|---|
| Authors | Margaret L Borden (0009-0009-2598-3115, North Carolina State University, corresponding author), Michael Belcher (0000-0002-0376-4909, North Carolina State University), Erin E Krupa (0000-0001-6898-4059, North Carolina State University), Robin Keturah Anderson (0000-0002-9665-0889, North Carolina State University) |
| Year | 2025 |
| Pages | 1-14 |
| Publication date | 2025-09-20 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | The Journal of Educational Research (JOURNAL) |
| Journal identifiers | ISSN: 0022-0671 • E-ISSN: 1940-0675 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/00220671.2025.2557296 |
| OpenAlex | W7128190150 |
| Language | EN |
| References cited | 28 |
As educators pursue more authentic and relevant approaches to mathematics instruction, it is essential to understand how students reason mathematically in innovative learning environments. This study examines students’ reasoning with geometric transformations during a summer camp, in which they used dynamic geometry environments (DGEs) to design transforming, multi-functional products. Student artifacts were analyzed using two frameworks on reasoning in transformational geometry. taxonomy of transformational reasoning. Findings show that students’ reasoning was closely tied to their product designs, with many using features of their prototypes to describe and justify geometric transformations. The open-ended, real-world challenge prompted students to engage with relevant transformations while navigating 2D and 3D representations in the DGE, fostering authentic mathematical reasoning across dimensions. These results suggest that positioning students as designers in meaningful, technology-supported contexts can deepen geometric reasoning and support conceptually rich engagement with transformations
Feature (linguistics) · Key (lock) · Reflection (computer programming) · Work (physics) · Mathematics Education and Teaching Techniques · Science Education and Pedagogy · Spatial Cognition and Navigation
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| Highly cited | No |
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