{
  "creator": [
    "Buijsman, Stefan",
    "Pantsar, Markus"
  ],
  "date": [
    "2020-06-15"
  ],
  "description": [
    "An important paradigm in modeling the complexity of mathematical tasks relies on computational complexity theory, in which complexity is measured through the resources (time, space) taken by a Turing machine to carry out the task. These complexity measures, however, are asymptotic and as such potentially a problematic fit when descriptively modeling mathematical tasks that involve small inputs. In this paper, we argue that empirical data on human arithmetical cognition implies that a more fine-grained complexity measure is needed to accurately study mental arithmetic tasks. We propose a computational model of mental integer addition that is sensitive to the relevant aspects of human arithmetical ability. We show that this model necessitates a two-part complexity measure, since the addition tasks consists of two qualitatively different stages: retrieval of addition facts and the (de)composition of multidigit numbers. Finally, we argue that the two-part complexity measure can be developed into a single response-time measure with the help of empirical study of the two stages."
  ],
  "format": [
    "application/pdf",
    "text/html",
    "text/xml"
  ],
  "identifier": [
    "https://jnc.psychopen.eu/index.php/jnc/article/view/5895",
    "10.5964/jnc.v6i1.218"
  ],
  "language": [
    "eng"
  ],
  "publisher": [
    "PsychOpen GOLD / Leibniz Institut for Psychology (ZPID)"
  ],
  "relation": [
    "https://jnc.psychopen.eu/index.php/jnc/article/view/5895/5895.pdf",
    "https://jnc.psychopen.eu/index.php/jnc/article/view/5895/5895.html",
    "https://jnc.psychopen.eu/index.php/jnc/article/view/5895/5895.xml"
  ],
  "rights": [
    "Copyright (c) 2020 Buijsman; Pantsar",
    "https://creativecommons.org/licenses/by/4.0/"
  ],
  "source": [
    "Journal of Numerical Cognition; Vol. 6 No. 1 (2020); 148-163",
    "2363-8761"
  ],
  "subject": [
    "integer addition",
    "complexity",
    "mental arithmetic",
    "cognitive modeling"
  ],
  "title": [
    "The Complexity of Mental Integer Addition"
  ],
  "type": [
    "info:eu-repo/semantics/article",
    "info:eu-repo/semantics/publishedVersion"
  ]
}