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Rouder, Jeffrey N.; Geary, David C. – Developmental Science, 2014
Learning of the mathematical number line has been hypothesized to be dependent on an inherent sense of approximate quantity. Children's number line placements are predicted to conform to the underlying properties of this system; specifically, placements are exaggerated for small numerals and compressed for larger ones. Alternative hypotheses…
Descriptors: Numbers, Number Concepts, Cognitive Development, Child Development
Qin, Jike; Kim, Dan; Opfer, John – Grantee Submission, 2017
There is an ongoing debate over the psychophysical functions that best fit human data from numerical estimation tasks. To test whether one psychophysical function could account for data across diverse tasks, we examined 40 kindergartners, 38 first graders, 40 second graders and 40 adults' estimates using two fully crossed 2 × 2 designs, crossing…
Descriptors: Mathematics Skills, Numeracy, Arithmetic, Cognitive Processes
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Kim, Dan; Opfer, John E. – Developmental Psychology, 2017
Representations of numerical value have been assessed by using bounded (e.g., 0-1,000) and unbounded (e.g., 0-?) number-line tasks, with considerable debate regarding whether 1 or both tasks elicit unique cognitive strategies (e.g., addition or subtraction) and require unique cognitive models. To test this, we examined how well a mixed log-linear…
Descriptors: Computation, Numbers, Children, Cognitive Development
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Barth, Hilary; Baron, Andrew; Spelke, Elizabeth; Carey, Susan – Journal of Experimental Child Psychology, 2009
Recent studies have documented an evolutionarily primitive, early emerging cognitive system for the mental representation of numerical quantity (the analog magnitude system). Studies with nonhuman primates, human infants, and preschoolers have shown this system to support computations of numerical ordering, addition, and subtraction involving…
Descriptors: Numbers, Infants, Logical Thinking, Number Concepts
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Moeller, Korbinean; Pixner, Silvia; Kaufmann, Liane; Nuerk, Hans-Christoph – Journal of Experimental Child Psychology, 2009
Recently, the nature of children's mental number line has received much investigation. In the number line task, children are required to mark a presented number on a physical number line with fixed endpoints. Typically, it was observed that the estimations of younger/inexperienced children were accounted for best by a logarithmic function, whereas…
Descriptors: Mathematics Activities, Number Systems, Values, Number Concepts
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Sasanguie, Delphine; De Smedt, Bert; Defever, Emmy; Reynvoet, Bert – British Journal of Developmental Psychology, 2012
Various measures have been used to investigate number processing in children, including a number comparison or a number line estimation task. The present study aimed to examine whether and to which extent these different measures of number representation are related to performance on a curriculum-based standardized mathematics achievement test in…
Descriptors: Mathematics Achievement, Number Concepts, Grade 6, Cognitive Development
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Heine, Angela; Thaler, Verena; Tamm, Sascha; Hawelka, Stefan; Schneider, Michael; Torbeyns, Joke; De Smedt, Bert; Verschaffel, Lieven; Stern, Elsbeth; Jacobs, Arthur M. – Infant and Child Development, 2010
To date, a number of studies have demonstrated the existence of mismatches between children's "implicit" and "explicit" knowledge at certain points in development that become manifest by their gestures and gaze orientation in different problem solving contexts. Stimulated by this research, we used eye movement measurement to…
Descriptors: Age, Eye Movements, Achievement, Human Body
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Schneider, Michael; Heine, Angela; Thaler, Verena; Torbeyns, Joke; De Smedt, Bert; Verschaffel, Lieven; Jacobs, Arthur M.; Stern, Elsbeth – Cognitive Development, 2008
The number line estimation task captures central aspects of children's developing number sense, that is, their intuitions for numbers and their interrelations. Previous research used children's answer patterns and verbal reports as evidence of how they solve this task. In the present study we investigated to what extent eye movements recorded…
Descriptors: Elementary School Students, Eye Movements, Human Body, Number Concepts
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Kamii, Constance; Rummelsburg, Judith – Teaching Children Mathematics, 2008
To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…
Descriptors: Textbooks, Mental Computation, Number Concepts, Word Problems (Mathematics)
Arizona Department of Education, 2009
This publication contains Arizona public schools' academic standards for Grade 1. The contents of this document include the following: (1) The Arts Standard 2006--Grade 1; (2) Comprehensive Health Education/Physical Activity Standards 1997--Foundations (Grades 1-3); (3) Foreign and Native Language Standards 1997--Foundations (Grades 1-3); (4)…
Descriptors: Federal Legislation, Health Education, Sex Education, Public Health
Arizona Department of Education, 2009
This publication contains Arizona public schools' academic standards for grade 2. The contents of this document include the following: (1) The Arts Standard 2006--Grade 2; (2) Comprehensive Health Education/Physical Activity Standards 1997--Foundations (Grades 1-3); (3) Foreign and Native Language Standards 1997--Foundations (Grades 1-3); (4)…
Descriptors: Federal Legislation, Health Education, Sex Education, Public Health
Arizona Department of Education, 2009
This publication contains Arizona public schools' academic standards for grade 3. The contents of this document include the following: (1) The Arts Standard 2006--Grade 3; (2) Comprehensive Health Education/Physical Activity Standards 1997--Foundations (Grades 1-3); (3) Foreign and Native Language Standards 1997--Foundations (Grades 1-3); (4)…
Descriptors: Federal Legislation, Health Education, Sex Education, Public Health