The Mayan Activity: A Way of Teaching Multiple Quantifications in Logical Contexts

Kyeong Roh, Yong Hah Lee

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

In this article, we suggest an instructional intervention to help students understand statements involving multiple quantifiers in logical contexts. We analyze students' misinterpretations of multiple quantifiers related to the ε-N definition of convergence and point out that they result from a lack of understanding of the significance of the order of the quantifiers in the definition. We introduce the Mayan activity which is designed to cause and then to help resolve students' cognitive dissonance. In particular, the Mayan stonecutter story in the activity is presented in an understandable and colloquial form so that students can recognize the independence of ε from N in the ε-N definition. Consequently, the Mayan activity can be regarded as a useful instructional intervention to study statements related to the ε-N definition of convergence.

Original languageEnglish (US)
Pages (from-to)685-698
Number of pages14
JournalPRIMUS
Volume21
Issue number8
DOIs
StatePublished - Nov 1 2011

Keywords

  • Mayan activity
  • Multiple quantification
  • cognitive dissonance
  • instructional intervention
  • ε-N definition

ASJC Scopus subject areas

  • Mathematics(all)
  • Education

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