Educational Studies in Mathematics

, Volume 13, Issue 2, pp 143–154 | Cite as

Algorithmic skill vs. conceptual understanding

  • Twila Slesnick


With the help of Pascual-Leone's Theory of Constructive Operators, this study investigated the hypothesis that understanding of the long division algorithm requires a high cognitive level, or greater m-capacity, than does understanding of the fundamental concepts of division. Formal and preformal sixth grade students were tested on performance and understanding of a given division algorithm and division concepts.


Conceptual Understanding Grade Student Fundamental Concept Sixth Grade Cognitive Level 


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Copyright information

© D. Reidel Publishing Company 1982

Authors and Affiliations

  • Twila Slesnick
    • 1
  1. 1.University of CaliforniaBerkeley

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