ERIC Number: ED658055
Record Type: Non-Journal
Publication Date: 2023
Pages: 9
Abstractor: As Provided
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Combining Covariational Reasoning and Causality to Conceptualize Feedback Loops
Darío González
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (45th, Reno, NV, Oct 1-4, 2023)
This paper introduces two theoretical constructs, open-loop covariation and closed-loop covariation, that combine covariational reasoning and causality to characterize the way that three preservice mathematics teachers conceptualize a feedback loop relationship in a mathematical task related to climate change. The study's results suggest that the preservice teachers' reasoning about feedback loop between quantities involved the ability to conceive closed-loop covariation, which in this study was characterized by two cognitive realizations: (i) the conception of simultaneous change and (ii) the recognition of circular causality. These realizations, at least for the participants, appeared to be independent from one another. The theoretical distinction between open- and closed-loop covariation could inform instructional strategies to develop students' ability to think about and model feedback loops. [For the complete proceedings, see ED657822.]
Descriptors: Preservice Teachers, Cognitive Processes, Abstract Reasoning, Thinking Skills, Feedback (Response), Mathematics Teachers, Mathematics Instruction, Climate, Mathematical Concepts, Scientific Concepts, Concept Formation, Energy
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Higher Education; Postsecondary Education
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Language: English
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