The Development of Numerical Estimation

By Robert S. Siegler, John E Opfer. Psychology Science, 2003

775 citations recorded by the source corpus.

Subfields: Education, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/97b7babfe904136221e6e4a8a59976262d91271e

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Citations in the corpus

Putting fractions together. (2020, result): “These levels of accuracy are superior to the PAEs previously found with university students estimating whole numbers on 0–1,000 number lines (Siegler & Opfer, 2003).”
No Innate Number Line in the Human Brain (2011, methodology): “…crucially, the data show that the Mundurukú failed to establish an essential component of the number-to-space mapping as specified by the number line task, namely, the lowest-numberto-endpoint mapping (Siegler & Booth, 2004; Siegler & Opfer, 2003)—the “numerical anchors” (Booth & Siegler, 2006).”
The link between deductive reasoning and mathematics (2018, methodology): “Number line task: This task was based on the number-to-position problems used by Siegler and Opfer (2003) to examine numerical estimation abilities.”
Spatial Training Improves Children's Mathematics Ability (2014, background): “…evidence that space and math are related comes from research on spatioquantitative representations, such as the mental number line and object files (Dehaene, Bossini, & Giraux, 1993; Kahneman, Treisman, & Gibbs, 1992; Noles, Scholl, & Mitroff, 2005; Siegler & Opfer, 2003; Trick & Pylyshyn, 1994).”
Intuitive numbers guide decisions (2008, methodology): “We use a logarithmic function in our example because it appears to be a somewhat better fit to data from human numerical-estimation studies and monkey neural-response curves during a number-estimation task ( Siegler & Opfer, 2003; Nieder & Miller, 2003).”
Using Relational Reasoning to Learn About Scientific Phenomena at Unfamiliar Scales (2016, background): “Linearity develops over time for an increasingly wider range of scales (Booth and Siegler 2006; Siegler and Booth 2004; Siegler and Opfer 2003), though some may never come to accurately reason about extremely small and large scales (Landy et al. 2013; Schneider and Siegler 2010).”