Tiling and recursion

Chu, I-Ping; Johnsonbaugh, Richard

doi:10.1145/31820.31770

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“…It is often claimed that everyday life lacks analogies for the concept of recursion (Pirolli and Anderson, 1985), so it is no surprise that most authors come up with the same objects, such as cauliflowers, including the healthy broccoli, ringed targets, tree branches, reflections on facing mirrors, tilings (Chu and Johnsonbaugh, 1987), ladders (Levy and Lapidot, 2002) and Russian dolls (Bowman and Seagraves, 1985). Typical geometric figures are fractals (Riordon, 1984b, Elenbogen and O'Kennon, 1988, Wakin, 1989, Bruce et al, 2005, Ammari-Allahyari, 2005, Stephenson, 2009b, Gordon, 2006 and certain kinds of artwork, most notably by the Dutch graphic artist M. C. Escher (Gunion et al, 2009b).…”

Section: Analogies Objectsmentioning

confidence: 99%

A Survey on Teaching and Learning Recursive Programming

Rinderknecht¹

2014

Informatics in Education

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We survey the literature about the teaching and learning of recursive programming. After a short history of the advent of recursion in programming languages and its adoption by programmers, we present curricular approaches to recursion, including a review of textbooks and some programming methodology, as well as the functional and imperative paradigms and the distinction between control flow vs. data flow. We follow the researchers in stating the problem with base cases, noting the similarity with induction in mathematics, making concrete analogies for recursion, using games, visualizations, animations, multimedia environments, intelligent tutoring systems and visual programming. We cover the usage in schools of the Logo programming language and the associated theoretical didactics, including a brief overview of the constructivist and constructionist theories of learning; we also sketch the learners' mental models which have been identified so far, and non-classical remedial strategies, such as kinesthesis and syntonicity. We append an extensive and carefully collated bibliography, which we hope will facilitate new research.

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Section: Analogies Objectsmentioning

confidence: 99%

A Survey on Teaching and Learning Recursive Programming

Rinderknecht¹

2014

Informatics in Education

View full text Add to dashboard Cite

show abstract

Tiling and recursion

Cited by 1 publication

References 0 publications

A Survey on Teaching and Learning Recursive Programming

A Survey on Teaching and Learning Recursive Programming

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