Why many children persist with counting

Sarah Hopkins, James Russo, Janette Bobis

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Abstract

In this paper, we propose a new, theoretical account of why many children persist with using counting strategies to solve single-digit addition problems. We hypothesise that, in some contexts, teaching approaches favour a phonological route for strengthening problem-answer associations in memory, which disadvantages children who have weaker skills with phonological memory. Furthermore, we hypothesise that more children will develop retrieval-based strategies if they are provided with opportunities to practice using tools that strengthen problem-answer associations in memory via a visual-spatial processing route. We also describe a new tool that we designed to help test these hypotheses, called the Keyboard. The Keyboard models a mental number line and makes use of children’s subitising skills.
Original languageEnglish
Title of host publicationProceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education
EditorsMichal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
Place of PublicationHaifa Israel
PublisherUniversity of Haifa
Pages83-90
Number of pages8
Volume3
Edition1st
ISBN (Print)9789659311217, 9789659311231
Publication statusPublished - 2023
EventAnnual Conference of the International Group for the Psychology of Mathematics Education 2023: Mathematics Education for Global Sustainability - University of Haifa, Haifa, Israel
Duration: 16 Jul 202321 Jul 2023
Conference number: 46th
https://pme46.edu.haifa.ac.il/Home

Conference

ConferenceAnnual Conference of the International Group for the Psychology of Mathematics Education 2023
Abbreviated titlePME 2023
Country/TerritoryIsrael
CityHaifa
Period16/07/2321/07/23
Internet address

Keywords

  • Mathematics education
  • Min counting
  • Counting
  • Count-on
  • Retrieval
  • Single-digit addition
  • working memory
  • visual-spatial processing
  • mathematical manipulatives
  • subitising
  • addition strategies

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