An Exponential Growth Learning Trajectory: Students' Emerging Understanding of Exponential Growth Through Covariation
| Autor: | Amy B. Ellis, Zekiye Özgür, Joel Amidon, Torrey Kulow, Muhammed Fatih Dogan |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Relation (database)
General Mathematics Teaching method 05 social sciences 050301 education Conceptual development Variation (game tree) Education Exponential growth 0502 economics and business Developmental and Educational Psychology Trajectory Mathematics education Learning trajectory Psychology Set (psychology) 0503 education 050203 business & management |
| Popis: | This article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students’ initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students’ thinking and learning over time in relation to a set of tasks and activities developed to engender a view of exponential growth as a relation between two continuously covarying quantities. Developed out of two teaching experiments with early adolescents, the EGLT identifies three major stages of students’ conceptual development: prefunctional reasoning, the covariation view, and the correspondence view. The learning trajectory is presented along with three individual students’ progressions through the trajectory as a way to illustrate the variation present in how the participants made sense of ideas about exponential growth. |
| Databáze: | OpenAIRE |
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