Journal ArticleDOI
Eye gaze reveals a fast, parallel extraction of the syntax of arithmetic formulas.
TLDR
Analysis of eye movement sequences during the calculation of arithmetic expressions provides strong evidence for a syntactic organization for arithmetic thinking, paving the way for further comparative analysis of differences and coincidences in the instantiation of recursion in language and mathematics.About:
This article is published in Cognition.The article was published on 2012-12-01. It has received 50 citations till now. The article focuses on the topics: Abstract syntax tree & Abstract syntax.read more
Citations
More filters
Journal ArticleDOI
A review of using eye-tracking technology in exploring learning from 2000 to 2012
Meng Lung Lai,Meng Jung Tsai,Fang Ying Yang,Chung Yuan Hsu,Tzu-Chien Liu,Silvia Wen Yu Lee,Min Hsien Lee,Guo Li Chiou,Jyh Chong Liang,Chin Chung Tsai +9 more
TL;DR: In this paper, the authors reveal how eye tracking technology has been applied to studies of learning, and what eye movement measures have been used for investigations by reviewing studies that have employed the eye-tracking approach.
Journal ArticleDOI
Spatial Associations in Numerical Cognition—From Single Digits to Arithmetic:
Martin H. Fischer,Samuel Shaki +1 more
TL;DR: It is concluded that the mental number line hypothesis and an embodied approach are useful frameworks for further studies on spatial biases found for single digits and pairs of numbers.
Journal ArticleDOI
Of magnitudes and metaphors: explaining cognitive interactions between space, time, and number.
TL;DR: It is argued that simple representations of magnitude cannot, on their own, account for the rich, complex interactions between space, time and number described by Conceptual Metaphor Theory, and proposed that ATOM and CMT are complementary, each illuminating different aspects of cross-domain interactions.
Journal ArticleDOI
Eye movements reveal students’ strategies in simple equation solving
TL;DR: In this article, eye movements of 40 university students were recorded while they were rearranging simple algebraic equations, and the analysis of behavioral and eye tracking data, namely the accuracy, reaction times, and number of fixations, revealed that the participants improved their performance during the time course of the measurement.
Journal ArticleDOI
Spatial biases during mental arithmetic: evidence from eye movements on a blank screen
TL;DR: The results do not support the idea of a mental movement toward the solution during arithmetic but indicate a semantic association between operation and space.
References
More filters
Book
The Minimalist Program
TL;DR: This twentieth-anniversary edition reissues Noam Chomsky's classic work The Minimalist Program with a new preface by the author, which emphasizes that the minimalist approach developed in the book and in subsequent work "is a program, not a theory."
Journal ArticleDOI
On Computable Numbers, with an Application to the Entscheidungsproblem
TL;DR: This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.
Journal ArticleDOI
Eye movements in reading and information processing: 20 years of research.
TL;DR: The basic theme of the review is that eye movement data reflect moment-to-moment cognitive processes in the various tasks examined.
Book
The Language of Thought
TL;DR: In this article, Fodor argues that, while our best current theories of cognitive psychology view many higher processes as computational, computation itself presupposes an internal medium of representation, which is the speculative approach to the philosophy of mind.
Book
Principles of gestalt psychology
TL;DR: Routledge is now reissuing this prestigious series of 204 volumes originally published between 1910 and 1965, including works by key figures such as C.G. Jung, Sigmund Freud, Jean Piaget, Otto Rank, James Hillman, Erich Fromm, Karen Horney and Susan Isaacs as discussed by the authors.
Related Papers (5)
Moving the eyes along the mental number line : Comparing SNARC effects with saccadic and manual responses
Wolf Schwarz,Inge M. Keus +1 more