Uncommon Connections with Common Numerators

• Autores: Lawrence M. Lesser, Joe A. Guthrie
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 22, Nº. 8, 2012, págs. 634-642
• Idioma: inglés
• DOI: 10.1080/10511970.2011.648255
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• Resumen

  • Undergraduate students who are pre-service teachers need to make connections between the college mathematics they are learning and the pre-college mathematics they will be teaching. Spanning a broad range of undergraduate curricula, this article describes useful lesser-known connections, explorations, and original proofs involving fractions. In particular, we use standard tools of number theory to investigate when an integer results from bc/(b+c), an expression that arises from the not uncommon situation of adding fractions with a common numerator.