Recursion is a powerful idea*âwith correspondingly powerful implications for learning and teaching mathematics. Computer scientists have previously pointed out that the use of recursion often permits more lucid and concise descriptions of algorithms 1; mathematicians know that recursion is a fundamental concept upon which entire systems of mathematics can be built 11; and, the theory of recursive functions is now developing into an area of mathematics whose importance has been compared with that of geometry and algebra 3. The purposes of this paper are to illuminate the fundamentals of recursion; to illustrate several recursive computer programs which provide perspicuous representations of certain mathematical procedures; and to invite students and teachers of mathematics to reach greater understandings by trying them.
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Learning mathematics with recursive computer programs
Peelle, Howard A.
Follow ACM SIGCUE Outlook
, Volume 10 (SI)
Association for Computing Machinery – Feb 1, 1976
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