Your browser doesn't support javascript.
loading
A Mathematical Model of How People Solve Most Variants of the Number-Line Task.
Cohen, Dale J; Blanc-Goldhammer, Daryn; Quinlan, Philip T.
Afiliación
  • Cohen DJ; Department of Psychology, University of North Carolina Wilmington.
  • Blanc-Goldhammer D; Department of Psychology, University of North Carolina Wilmington.
  • Quinlan PT; Department of Psychology, The University of York.
Cogn Sci ; 42(8): 2621-2647, 2018 11.
Article en En | MEDLINE | ID: mdl-30375044
Current understanding of the development of quantity representations is based primarily on performance in the number-line task. We posit that the data from number-line tasks reflect the observer's underlying representation of quantity, together with the cognitive strategies and skills required to equate line length and quantity. Here, we specify a unified theory linking the underlying psychological representation of quantity and the associated strategies in four variations of the number-line task: the production and estimation variations of the bounded and unbounded number-line tasks. Comparison of performance in the bounded and unbounded number-line tasks provides a unique and direct way to assess the role of strategy in number-line completion. Each task produces a distinct pattern of data, yet each pattern is hypothesized to arise, at least in part, from the same underlying psychological representation of quantity. Our model predicts that the estimated biases from each task should be equivalent if the different completion strategies are modeled appropriately and no other influences are at play. We test this equivalence hypothesis in two experiments. The data reveal all variations of the number-line task produce equivalent biases except for one: the estimation variation of the bounded number-line task. We discuss the important implications of these findings.
Asunto(s)
Palabras clave

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Solución de Problemas / Comprensión / Matemática / Modelos Teóricos Tipo de estudio: Prognostic_studies Límite: Humans Idioma: En Revista: Cogn Sci Año: 2018 Tipo del documento: Article Pais de publicación: Estados Unidos

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Solución de Problemas / Comprensión / Matemática / Modelos Teóricos Tipo de estudio: Prognostic_studies Límite: Humans Idioma: En Revista: Cogn Sci Año: 2018 Tipo del documento: Article Pais de publicación: Estados Unidos