Educational Studies in Mathematics

, Volume 49, Issue 3, pp 379–402 | Cite as

Generalization of patterns: the tension between algebraic thinking and algebraic notation

  • Rina Zazkis
  • Peter Liljedahk
Article

Abstract

This study explores the attempts of a group of preservice elementary school teachers to generalize a repeating visual number pattern. We discuss students' emergent algebraic thinking and the variety of ways in which they generalize and symbolize their generalizations. Our results indicate that students' ability to express generality verbally was not accompanied by, and did not depend on, algebraic notation. However, participants often perceived their complete and accurate solutions that did not involve algebraic symbolism as inadequate.

Keywords

Elementary School School Teacher Accurate Solution Elementary School Teacher Algebraic Thinking 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Rina Zazkis
    • 1
  • Peter Liljedahk
    • 1
  1. 1.Faculty of EducationSimon Fraser UniversityBurnabyCanada

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