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Instrumental understanding occurs when students think that they understand something if they are able to obtain correct answers to a given category of questions without knowing why the method works (Choat, 1981, p.18).
Uncovering a pervasive instrumental understanding of higher education during that era, The Instrumental University shows that universities framed their mission around solving social problems and promoting economic development as central institutions in what would soon be called the knowledge economy.
The situation of memorising rules can foster instrumental understanding which may leave students without the relational understanding of what is required in order to make sense of mathematics learning (Skemp, 1976).
For instance, in a situation that involves the following (y = x n ; y = x x ; y = a x ), students tend to be confused where to apply a certain rule if they have an instrumental understanding of the rules such as power rule, logarithmic rule and exponential function rule.
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Understanding such crosstalk will be instrumental for understanding the normal development and tumourigenesis of prostate.
Understanding the patterns in molecular interactions is of foremost importance in systems biology, as it is instrumental to understanding the functioning of the cell (Ryan et al., 2013).
Such information could be instrumental for understanding the joint effect of multiple mutated genes, for example, in the same tumour, and may contribute to understanding tumour evolution and drug sensitivity.
Both books are instrumental to understanding video games.
"It was instrumental in understanding how one talks about dance on a casual level," he said.
These photo-stories were instrumental in understanding the communities' livelihoods, their challenges and opportunities, and climate-change vulnerabilities.
Quantum transport properties are instrumental to understanding quantum coherent transport processes.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com