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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2021 . Peer-reviewed
License: Springer TDM
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Covariational Reasoning – Theoretical Background

Authors: Andrzej Sokolowski;

Covariational Reasoning – Theoretical Background

Abstract

Covariational reasoning surfaced in the first chapters of the book, however, it needs more elaboration as it will dominate the case studies included in Part III. This chapter presents a current perspective on covariational reasoning and its fit to the proposed modeling discourse. It delves deeper into mathematical representations that can be used during modeling enterprises to reach this goal. Research proved that modeling supported by empirical-mathematical thinking is an effective way of organizing learning environments in the physics classroom. Observing lab processes and concluding general patterns reflects on physicists’ scientific inquiry methods. A mathematical structural domain consisting of algebraic functions is the leading mathematical apparatus used during physics labs quantitative analyses. Thus the techniques of blending scientific thought processes with algebraic apparatus called for more elaboration. This chapter attempts to demystify formulas algebraic structures and extract covariational sense that is stored in these structures. Initiated from contrasting functions and formulas, this chapter zooms deeper into the elementary blocks of these representations; parameters, and variables. An attempt to categorize physics formulas by their complexity of covariate entanglement will conclude this chapter.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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