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Informatics in Education
Article . 2003 . Peer-reviewed
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Informatics in Education
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Informatics in Education
Article . 2003
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Numerical Difficulties in Pre-University Informatics Education and Competitions

Authors: Horváth, G.; Verhoeff, T.;

Numerical Difficulties in Pre-University Informatics Education and Competitions

Abstract

It is easy to underestimate the difficulties of using floating-point numbers in programming. This is especially the case in pre-university informatics education and competitions, where one is often led to believe that floating-point arithmetic is a good approximation of the real number system. However, most of the mathematical laws valid for real numbers break down when applied to floating-point numbers. We explain this break-down and illustrate it with four simple examples. In informatics education and competitions, the students need to be trained, programming assignments need to be formulated, submitted programs need to be evaluated, and variations among computing platforms need to be handled. We show that the use of floating-point numbers gives rise to various kinds of non-trivial difficulties in all these areas. Coping with such difficulties would require that teachers, students, and organizers gain experience in numerical mathematics. We strongly recommend to avoid the use of floating-point numbers in pre-university education and competitions whenever possible. If you do want to use floating-point numbers, then study the literature of numerical mathematics and be prepared to do a convincing error analysis.

Country
Netherlands
Keywords

floating-point arithmetic, LC8-6691, informatics education, Special aspects of education, informatics competitions,, numerical mathematics

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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!
1
Average
Average
Average
gold