Mental computation fluency: assessing flexibility, efficiency and accuracy

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Abstract

In this paper, we elucidate the steps taken to develop an assessment of mental-computational fluency, with the aim to capture the key features of the construct, namely procedural flexibility, efficiency, and accuracy. Over 200 children in third and fourth grade completed the assessment. Using Rasch analyses, we investigated which items contributed to producing a measure and which did not. The findings allowed us to modify the assessment and produce a unidimensional scale for measuring mental-computational fluency with addition. We discuss the value of this assessment in terms of advancing learning theory and educational practice.
Original languageEnglish
Title of host publicationProceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education
EditorsMellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale
Place of PublicationPretoria South Africa
PublisherInternational Group for the Psychology of Mathematics Education
Pages376-383
Number of pages8
Volume2
Edition1st
ISBN (Electronic)9780639821535
ISBN (Print)9780639821528
Publication statusPublished - 2019
EventAnnual Conference of the International Group for the Psychology of Mathematics Education 2019: Improving access to the power of mathematics - University of Pretoria, Pretoria, South Africa
Duration: 7 Jul 201912 Jul 2019
Conference number: 43rd
https://www.up.ac.za/pme43

Conference

ConferenceAnnual Conference of the International Group for the Psychology of Mathematics Education 2019
Abbreviated titlePME43
CountrySouth Africa
CityPretoria
Period7/07/1912/07/19
Internet address

Keywords

  • mathematics education
  • mental computation
  • Mathematical fluency
  • number sense
  • assessing mathematics
  • assessment for learning
  • Rasch Measurement Model

Cite this

Hopkins, S., Russo, J., & Downton, A. (2019). Mental computation fluency: assessing flexibility, efficiency and accuracy. In M. Graven, H. Venkat, A. A. Essien, & P. Vale (Eds.), Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education (1st ed., Vol. 2, pp. 376-383). Pretoria South Africa: International Group for the Psychology of Mathematics Education.