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When we "think like a computer scientist," we are able to systematically solve problems in different fields, create software applications that support various needs, and design artefacts that model complex systems. Abstraction is a soft skill embedded in all those endeavours, being a main cornerstone of computational thinking. Our overview of abstraction is intended to be not so much systematic as thought provoking, inviting the reader to (re)think abstraction from different - and perhaps unusual - perspectives. After presenting a range of its characterisations, we will explore abstraction from a cognitive point of view. Then we will discuss the role of abstraction in a range of computer science areas, including whether and how abstraction is taught. Although it is impossible to capture the essence of abstraction in one sentence, one section or a single paper, we hope our insights into abstraction may help computer science educators to better understand, model and even dare to teach abstraction skills. [ABSTRACT FROM AUTHOR]

In many discussions of the ways in which abstraction is applied in computer science (CS), researchers and advocates of CS education argue that CS students should be taught to consciously and explicitly move among levels of abstraction (Armoni Journal of Computers in Mathematics and Science Teaching, 32(3), 265–284, 2013; Kramer Communications of the ACM, 50(4), 37–42, 2007; Wing Communications of the ACM, 49(3), 33–35, 2006). In this paper, we describe one way that attention to levels of abstraction could also support learning in mathematics. Specifically, we propose a framework for using abstraction in elementary mathematics based on Armoni's (2013) framework for teaching computational abstraction. We propose that such a framework could address an enduring challenge in mathematics for helping elementary students solve word problems with attention to context. In a discussion of implications, we propose that future research using the framework for instruction and teacher education could also explore ways that attention to levels of abstraction in elementary school mathematics may support later learning of mathematics and computer science. [ABSTRACT FROM AUTHOR]

Abstraction, defined in Computer Science (CS) as bracketing unnecessary information from diverse components within a system, serves as a central epistemological axis in CS disciplinary and pedagogical practices. Its impressions can be seen across curricula, syllabi, classroom structures, IT systems; and other dimensions of the epistemic infrastructure of CS (Malazita [Forthcoming]. "Epistemic Infrastructures, the Instrumental Turn, and the Digital Humanities." In Debates in the Digital Humanities: Infrastructures, Institutions at the Interstices, edited by Angel Nieves, Siobhan Senier, and Anne McGrail. University of Minnesota Press). As we will argue in this essay, abstraction in CS serves as an epistemic, cultural, and ideological wall to integrated critical-technical education, rather than as a bridge. Further, this wall is disguised as a bridge: the common language used across CS and the Humanities gives the impression that abstraction can be leveraged as a boundary object (Star [2010]. "This is Not a Boundary Object: Reflections on the Origin of a Concept." Science, Technology, & Human Values 35 (5): 601–617), as a point of connection among conflicting or incommensurable epistemic cultures (Knorr Cetina [1999]. Epistemic Cultures: How the Sciences Make Knowledge. Cambridge: MIT Press). Rather, computational knowledge practices leverage abstraction's homographic-ness, epistemically structuring collaborative efforts in anti-political ways. To illustrate the impacts of abstraction, this essay will introduce 'Critical CS1,' a hybrid pedagogical approach to teaching Computer Science through feminist and critical race theory. However, other components of the epistemic infrastructures of Computer Science, from curricular structure, to IT systems, to classroom culture, to the epistemic practices of coding itself, resisted these intervention efforts, and reproduced marginalizing effects upon students within the course. [ABSTRACT FROM AUTHOR]