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Varieties of Numerical Estimation: A Unified Framework

Qin, Jike
http://rave.ohiolink.edu/etdc/view?acc_num=osu1494347919675513

Abstract Details

2017, Master of Arts, Ohio State University, Psychology.
The psychological interpretation of numerical estimation performance largely rests on the resolution of an ongoing debate over the psychophysical functions that best fit human data. To test whether one psychophysical function could account for data across diverse tasks, we examined 25,280 numerical estimates collected from 40 kindergartners, 38 first graders, 40 second graders and 40 adults’ estimates using two fully crossed 2 × 2 designs, crossing symbol (symbolic, non-symbolic) and boundedness (bounded, unbounded) on free number-line tasks (Experiment 1) and crossing the same factors on anchored number-line tasks (Experiment 2). This yielded eight varieties of numerical estimation: four old varieties for testing replicability and four new varieties for testing generalizability. Across all the eight varieties, 88.84% of participants provided estimates better fit by a mixed log-linear model than other cognitive models, with weight of the logarithmic component (¿) decreasing with age in each task. After controlling for age, the weight of the logarithmic component (¿) significantly predicted arithmetic skills, whereas parameters of other models failed to do so. Results suggest that the logarithmic-to- linear shift theory provides a unified account of numerical magnitude estimation and provides uniquely accurate predictions for mathematical proficiency.
John Opfer (Advisor)
Sloutsky Vladimir (Committee Member)
Petrill Stephen (Committee Member)
56 p.
Psychology
psychological interpretation of numerical estimation performance

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Citations

  • Qin, J. (2017). Varieties of Numerical Estimation: A Unified Framework [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1494347919675513

    APA Style (7th edition)

  • Qin, Jike. Varieties of Numerical Estimation: A Unified Framework. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1494347919675513.

    MLA Style (8th edition)

  • Qin, Jike. "Varieties of Numerical Estimation: A Unified Framework." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1494347919675513

    Chicago Manual of Style (17th edition)

osu1494347919675513
341
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This open access ETD is published by The Ohio State University and OhioLINK.