Solving the water jugs problem by an integer sequence approach

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7 Citations (Scopus)

Abstract

In this article, we present an integer sequence approach to solve the classic water jugs problem. The solution steps can be obtained easily by additions and subtractions only, which is suitable for manual calculation or programming by computer. This approach can be introduced to secondary and undergraduate students, and also to teachers and lecturers involved in teaching mathematical problem solving, recreational mathematics, or elementary number theory. Copyright © 2012 Taylor & Francis Group, an informa business.
Original languageEnglish
Pages (from-to)39-54
JournalInternational Journal of Mathematical Education in Science and Technology
Volume43
Issue number1
DOIs
Publication statusPublished - Jan 2012

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Number theory
Integer Sequences
Subtraction
Computer programming
Teaching
university teacher
Programming
programming
mathematics
Students
Water
water
teacher
Industry
Group
student
Business

Citation

Man, Y.-K. (2012). Solving the water jugs problem by an integer sequence approach. International Journal of Mathematical Education in Science and Technology, 43(1), 39-54.

Keywords

  • Water jugs problem
  • Integer sequence approach
  • Diophantine equations