Measuring mental computational fluency with addition: a novel approach

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Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children’s computational reasoning using structured interviews (e.g., MAI), are necessarily time-intensive. In this paper, we introduce a novel measure of Mental Computational Fluency with Addition (MCF-A) that attempts to incorporate these aspects by requiring children to reason from the perspective of another child. We describe results of a pilot study using the MCF-A with 169 Year 3 and 4 students.
Original languageEnglish
Title of host publicationMaking Waves, Opening Spaces
Subtitle of host publicationProceedings of the 41st Annual Conference of the Mathematics Education Research Group of Australasia
EditorsJodie Hunter, Lisa Darragh, Pam Perger
Place of PublicationAdelaide SA Australia
PublisherMathematics Education Research Group of Australasia
Number of pages8
ISBN (Print)9781920846282
Publication statusPublished - 2018
EventAnnual conference of the Mathematics Education Research Group of Australasia 2018 - Massey University, Albany Auckland, New Zealand
Duration: 1 Jul 20185 Jul 2018
Conference number: 41st (Proceedings)


ConferenceAnnual conference of the Mathematics Education Research Group of Australasia 2018
Abbreviated titleMERGA 2018
CountryNew Zealand
CityAlbany Auckland
Internet address


  • Mathematics Education
  • Computational efficiency

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