The parametric nature of two students’ covariational reasoning
| Autor: | Kevin C. Moore, Teo Paoletti |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
05 social sciences 050301 education Cognition Verbal reasoning Education Variety (cybernetics) Qualitative reasoning Mathematics (miscellaneous) 0502 economics and business Intellectual need Mathematics education Case-based reasoning Psychology 0503 education 050203 business & management Analytic reasoning Parametric statistics |
| Zdroj: | The Journal of Mathematical Behavior. 48:137-151 |
| ISSN: | 0732-3123 |
| Popis: | Researchers have argued that covariational reasoning is foundational for learning a variety of mathematics topics. We extend prior research by examining two students’ covariational reasoning with attention to the extent they became consciously aware of the parametric nature of their reasoning. We first describe our theoretical background including different conceptions of covariation researchers have found useful when characterizing student reasoning. We then present two students’ activities during a teaching experiment in which they constructed and reasoned about covarying quantities. We highlight aspects of the students’ reasoning that we conjectured created an intellectual need that resulted in their constructing a parameter quantity or attribute, a need we explored in closing teaching episodes. We discuss implications of these results for perspectives on covariational reasoning, students’ understandings of graphs and parametric functions, and areas of future research. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect