The Experts below are selected from a list of 117405 Experts worldwide ranked by ideXlab platform
Dale J Cohen - One of the best experts on this subject based on the ideXlab platform.
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the log linear response function of the Bounded Number line task is unrelated to the psychological representation of quantity
Psychonomic Bulletin & Review, 2018Co-Authors: Dale J Cohen, Philip T QuinlanAbstract:The Bounded Number-line task has been used extensively to assess the numerical competence of both children and adults. One consistent finding has been that young children display a logarithmic response function, whereas older children and adults display a more linear response function. Traditionally, these log-linear functions have been interpreted as providing a transparent window onto the nature of the participants' psychological representations of quantity (termed here a direct response strategy). Here we show that the direct response strategy produces the log-linear response function regardless of whether the psychological representation of quantity is compressive or expansive. Simply put, the log-linear response function results from task constraints rather than from the psychological representation of quantities. We also demonstrate that a proportion/subtraction response strategy produces response patterns that almost perfectly correlate with the psychological representation of quantity. We therefore urge researchers not to interpret the log-linear response pattern in terms of numerical representation.
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numerical bias in Bounded and unBounded Number line tasks
Psychonomic Bulletin & Review, 2011Co-Authors: Dale J Cohen, Daryn BlancgoldhammerAbstract:The Number line task is often used to assess children’s and adults’ underlying representations of integers. Traditional Bounded Number line tasks, however, have limitations that can lead to misinterpretation. Here we present a new task, an unBounded Number line task, that overcomes these limitations. In Experiment 1, we show that adults use a biased proportion estimation strategy to complete the traditional Bounded Number line task. In Experiment 2, we show that adults use a dead-reckoning integer estimation strategy in our unBounded Number line task. Participants revealed a positively accelerating numerical bias in both tasks, but showed scalar variance only in the unBounded Number line task. We conclude that the unBounded Number line task is a more pure measure of integer representation than the Bounded Number line task, and using these results, we present a preliminary description of adults’ underlying representation of integers.
Daryn Blancgoldhammer - One of the best experts on this subject based on the ideXlab platform.
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numerical bias in Bounded and unBounded Number line tasks
Psychonomic Bulletin & Review, 2011Co-Authors: Dale J Cohen, Daryn BlancgoldhammerAbstract:The Number line task is often used to assess children’s and adults’ underlying representations of integers. Traditional Bounded Number line tasks, however, have limitations that can lead to misinterpretation. Here we present a new task, an unBounded Number line task, that overcomes these limitations. In Experiment 1, we show that adults use a biased proportion estimation strategy to complete the traditional Bounded Number line task. In Experiment 2, we show that adults use a dead-reckoning integer estimation strategy in our unBounded Number line task. Participants revealed a positively accelerating numerical bias in both tasks, but showed scalar variance only in the unBounded Number line task. We conclude that the unBounded Number line task is a more pure measure of integer representation than the Bounded Number line task, and using these results, we present a preliminary description of adults’ underlying representation of integers.
Sergio Vessella - One of the best experts on this subject based on the ideXlab platform.
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lipschitz stability for the inverse conductivity problem
Advances in Applied Mathematics, 2005Co-Authors: Giovanni Alessandrini, Sergio VessellaAbstract:We discuss the stability issue for Calderon's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a Bounded Number of unknown values, then a Lipschitz stability estimate holds.
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lipschitz stability for the inverse conductivity problem
Advances in Applied Mathematics, 2005Co-Authors: Giovanni Alessandrini, Sergio VessellaAbstract:We discuss the stability issue for Calderon's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a Bounded Number of unknown values, then a Lipschitz stability estimate holds.
Korbinian Moeller - One of the best experts on this subject based on the ideXlab platform.
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UnBounded Number line estimation as a measure of numerical estimation - Fig 3
2019Co-Authors: Regina Miriam Reinert, Matthias Hartmann, Stefan Huber, Korbinian MoellerAbstract:Schematic illustration of an example of the (A) unBounded and (B) Bounded Number line estimation. The production tasks are displayed in the upper row, the perception tasks in the lower row.
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on the relation between the mental Number line and arithmetic competencies
Quarterly Journal of Experimental Psychology, 2014Co-Authors: Tanja Link, Korbinian MoellerAbstract:In this study, we aimed at investigating whether it is indeed the spatial magnitude representation that links Number line estimation performance to other basic numerical and arithmetic competencies. Therefore, estimations of 45 fourth-graders in both a Bounded and a new unBounded Number line estimation task (with only a start-point and a unit given) were correlated with their performance in a variety of tasks including addition, subtraction, and Number magnitude comparison. Assuming that both Number line tasks assess the same underlying mental Number line representation, unBounded Number line estimation should also be associated with other basic numerical and arithmetic competencies. However, results indicated that children's estimation performance in the Bounded but not the unBounded Number line estimation task was correlated significantly with numerical and arithmetic competencies. We conclude that unBounded and Bounded Number line estimation tasks do not assess the same underlying spatial–numerical rep...
Giovanni Alessandrini - One of the best experts on this subject based on the ideXlab platform.
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lipschitz stability for the inverse conductivity problem
Advances in Applied Mathematics, 2005Co-Authors: Giovanni Alessandrini, Sergio VessellaAbstract:We discuss the stability issue for Calderon's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a Bounded Number of unknown values, then a Lipschitz stability estimate holds.
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lipschitz stability for the inverse conductivity problem
Advances in Applied Mathematics, 2005Co-Authors: Giovanni Alessandrini, Sergio VessellaAbstract:We discuss the stability issue for Calderon's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a Bounded Number of unknown values, then a Lipschitz stability estimate holds.
