Mathematical abilities in elementary school: Do they relate to number-space associations?
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Christine Schiltz | Carrie Georges | Danielle Hoffmann | C. Schiltz | Carrie Georges | Danielle Hoffmann
[1] D. Cohen,et al. Numerical bias in bounded and unbounded number line tasks , 2011, Psychonomic bulletin & review.
[2] Jean-Philippe van Dijck,et al. Numbers are associated with different types of spatial information depending on the task , 2009, Cognition.
[3] Frederick Verbruggen,et al. Critical Time Course of Right Frontoparietal Involvement in Mental Number Space , 2013, Journal of Cognitive Neuroscience.
[4] Daniel Ansari,et al. Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. , 2009, Journal of experimental child psychology.
[5] David C. Burr,et al. Linear mapping of numbers onto space requires attention , 2012, Cognition.
[6] R. Siegler. Emerging Minds: The Process of Change in Children's Thinking , 1996 .
[7] S. Dehaene,et al. The Number Sense: How the Mind Creates Mathematics. , 1998 .
[8] Michael von Aster,et al. Mental number line training in children with developmental dyscalculia , 2011, NeuroImage.
[9] E. Ceulemans,et al. Profiles of children's arithmetic fact development: a model-based clustering approach. , 2015, Journal of experimental child psychology.
[10] P. Ackerman. Determinants of individual differences during skill acquisition: Cognitive abilities and information processing. , 1988 .
[11] Hilary C Barth,et al. The development of numerical estimation: evidence against a representational shift. , 2011, Developmental science.
[12] Rafael Malach,et al. Object-processing neural efficiency differentiates object from spatial visualizers , 2008, Neuroreport.
[13] Emmanuel Dupoux,et al. Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. , 1990 .
[14] R. Siegler,et al. The Development of Numerical Estimation , 2003, Psychological science.
[15] Wim Fias,et al. Verbal-spatial and visuospatial coding of number-space interactions. , 2010, Journal of experimental psychology. General.
[16] E. Kroesbergen,et al. Explaining Variability: Numerical Representations in 4- to 8-Year-Old Children , 2014 .
[17] Julie L. Booth,et al. Developmental and individual differences in pure numerical estimation. , 2006, Developmental psychology.
[18] Julie L. Booth,et al. Numerical magnitude representations influence arithmetic learning. , 2008, Child development.
[19] W Fias,et al. Irrelevant digits affect feature-based attention depending on the overlap of neural circuits. , 2001, Brain research. Cognitive brain research.
[20] Jo-Anne LeFevre,et al. The role of working memory in mental arithmetic , 2004 .
[21] Daniel Ansari,et al. How do symbolic and non-symbolic numerical magnitude processing skills relate to individual differences in children's mathematical skills? A review of evidence from brain and behavior , 2013, Trends in Neuroscience and Education.
[22] Melissa E. Libertus,et al. Preschool acuity of the approximate number system correlates with school math ability. , 2011, Developmental science.
[23] André Vandierendonck,et al. The development of strategy use in elementary school children: working memory and individual differences. , 2007, Journal of experimental child psychology.
[24] D. Maurer,et al. Development of SNARC and distance effects and their relation to mathematical and visuospatial abilities. , 2016, Journal of experimental child psychology.
[25] Alexandra A. Cleland,et al. Sex differences in the spatial representation of number. , 2013, Journal of experimental psychology. General.
[26] Michael Schneider,et al. Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis. , 2017, Developmental science.
[27] S. Dehaene,et al. The mental representation of parity and number magnitude. , 1993 .
[28] Korbinian Moeller,et al. Walk the number line – An embodied training of numerical concepts , 2013, Trends in Neuroscience and Education.
[29] W. Fias. The Importance of Magnitude Information in Numerical Processing: Evidence from the SNARC Effect , 1996 .
[30] Daniel Ansari,et al. Numeracy Numeracy , 2022 .
[31] A. Petitto,et al. Development of Numberline and Measurement Concepts , 1990 .
[32] M. H. Fischer,et al. Number processing induces spatial performance biases , 2001, Neurology.
[33] E. Kroesbergen,et al. Verbal and visual-spatial working memory and mathematical ability in different domains throughout primary school , 2014, Memory & cognition.
[34] Mary K. Hoard,et al. Mathematical Cognition Deficits in Children With Learning Disabilities and Persistent Low Achievement: A Five-Year Prospective Study. , 2012, Journal of educational psychology.
[35] P. Ackerman,et al. Cognitive, perceptual-speed, and psychomotor determinants of individual differences during skill acquisition. , 2000, Journal of experimental psychology. Applied.
[36] Michael D. Dodd,et al. Perceiving numbers causes spatial shifts of attention , 2003, Nature Neuroscience.
[37] Mary Hegarty,et al. Inferring Cross-Sections: When Internal Visualizations Are More Important Than Properties of External Visualizations , 2010, Hum. Comput. Interact..
[38] Justin Halberda,et al. Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). , 2011, Child development.
[39] Marco Zorzi,et al. The mental representation of numerical fractions: real or integer? , 2007, Journal of experimental psychology. Human perception and performance.
[40] Hans-Christoph Nuerk,et al. Is the SNARC Effect Related to the Level of Mathematics? No Systematic Relationship Observed despite More Power, More Repetitions, and More Direct Assessment of Arithmetic Skill , 2013, Quarterly journal of experimental psychology.
[41] E. Nęcka,et al. Professional mathematicians differ from controls in their spatial-numerical associations , 2015, Psychological Research.
[42] D. Geary,et al. Simple and complex mental subtraction: strategy choice and speed-of-processing differences in younger and older adults. , 1993, Psychology and aging.
[43] Maciej Haman,et al. The spatial-numerical congruity effect in preschoolers. , 2012, Journal of experimental child psychology.
[44] Martin H. Fischer,et al. Mental movements without magnitude? A study of spatial biases in symbolic arithmetic , 2008, Cognition.
[45] C. Umilta,et al. Two orienting mechanisms in posterior parietal lobule: An rTMS study of the Simon and SNARC effects , 2007, Cognitive neuropsychology.
[46] Elida V. Laski,et al. Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. , 2007, Child development.
[47] J. Booth,et al. Children with mathematical learning disability fail in recruiting verbal and numerical brain regions when solving simple multiplication problems , 2014, Cortex.
[48] Bert Reynvoet,et al. Approximate number sense, symbolic number processing, or number-space mappings: what underlies mathematics achievement? , 2013, Journal of experimental child psychology.
[49] Klaus Willmes,et al. Spatial representations of numbers in children and their connection with calculation abilities , 2008, Cortex.
[50] Claus Lamm,et al. Differences in the ability to process a visuo-spatial task are reflected in event-related slow cortical potentials of human subjects , 1999, Neuroscience Letters.
[51] J. Booth,et al. Developmental dissociation in the neural responses to simple multiplication and subtraction problems. , 2014, Developmental science.
[52] Rebecca Bull,et al. The effects of phonological and visual-spatial interference on children’s arithmetical performance , 2003, Educational and Child Psychology.
[53] Ulrike Cress,et al. Full-body Movement in Numerical Trainings: A Pilot Study with an Interactive Whiteboard , 2015, Int. J. Serious Games.
[54] Marco Zorzi,et al. Number-space interactions in the human parietal cortex: Enlightening the SNARC effect with functional near-infrared spectroscopy. , 2014, Cerebral cortex.
[55] S. Dehaene. Varieties of numerical abilities , 1992, Cognition.
[56] Korbinian Moeller,et al. Children's early mental number line: logarithmic or decomposed linear? , 2009, Journal of experimental child psychology.
[57] Ulrike Cress,et al. Sensori-motor spatial training of number magnitude representation , 2011, Psychonomic bulletin & review.
[58] Marco Zorzi,et al. Numerical estimation in preschoolers. , 2010, Developmental psychology.
[59] Emmy Defever,et al. Association between basic numerical abilities and mathematics achievement. , 2012, The British journal of developmental psychology.
[60] Wim Fias,et al. The temporary nature of number-space interactions. , 2016, Canadian journal of experimental psychology = Revue canadienne de psychologie experimentale.
[61] Lisa K Fazio,et al. Relations of different types of numerical magnitude representations to each other and to mathematics achievement. , 2014, Journal of experimental child psychology.
[62] Chuansheng Chen,et al. Development of spatial representation of numbers: a study of the SNARC effect in Chinese children. , 2014, Journal of experimental child psychology.
[63] Bert De Smedt,et al. Effects of problem size and arithmetic operation on brain activation during calculation in children with varying levels of arithmetical fluency , 2011, NeuroImage.
[64] A. Nieder. Counting on neurons: the neurobiology of numerical competence , 2005, Nature Reviews Neuroscience.
[65] Jean-Philippe van Dijck,et al. A working memory account for spatial–numerical associations , 2011, Cognition.
[66] Brian Butterworth,et al. The Mathematical Brain , 1999 .
[67] C. Schiltz,et al. Developing number-space associations: SNARC effects using a color discrimination task in 5-year-olds. , 2013, Journal of experimental child psychology.
[68] D. Berch,et al. Extracting parity and magnitude from Arabic numerals: developmental changes in number processing and mental representation. , 1999, Journal of experimental child psychology.
[69] W. Fias,et al. The development of the SNARC effect: evidence for early verbal coding. , 2012, Journal of experimental child psychology.
[70] Amery D. Wu,et al. Understanding and Using Mediators and Moderators , 2008 .
[71] David C. Geary,et al. Development of Number Line Representations in Children With Mathematical Learning Disability , 2008, Developmental neuropsychology.
[72] S. Dehaene,et al. An open trial assessment of "The Number Race", an adaptive computer game for remediation of dyscalculia , 2006, Behavioral and Brain Functions.
[73] P. Onghena,et al. The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: evidence for a segmented linear model. , 2008, Journal of experimental child psychology.
[74] Gavin R. Price,et al. Numerical predictors of arithmetic success in grades 1-6. , 2014, Developmental science.
[75] Korbinian Moeller,et al. On the Relation between the Mental Number Line and Arithmetic Competencies , 2014, Quarterly journal of experimental psychology.
[76] Daniel C. Hyde,et al. Brief non-symbolic, approximate number practice enhances subsequent exact symbolic arithmetic in children , 2014, Cognition.
[77] Karin Landerl,et al. Development of numerical processing in children with typical and dyscalculic arithmetic skills—a longitudinal study , 2013, Front. Psychol..
[78] Mary K. Hoard,et al. Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. , 2004, Journal of experimental child psychology.
[79] Mark H. Ashcraft,et al. The development of mental arithmetic: A chronometric approach☆ , 1982 .
[80] V. Michel,et al. Recruitment of an Area Involved in Eye Movements During Mental Arithmetic , 2009, Science.
[81] M. Barnes,et al. A meta-analysis of mathematics and working memory: Moderating effects of working memory domain, type of mathematics skill, and sample characteristics , 2016 .
[82] ROBERT S. MOYER,et al. Time required for Judgements of Numerical Inequality , 1967, Nature.
[83] Stanislas Dehaene,et al. Dynamic representations underlying symbolic and nonsymbolic calculation: Evidence from the operational momentum effect , 2009, Attention, perception & psychophysics.
[84] Kelly S. Mix,et al. Separate but correlated: The latent structure of space and mathematics across development. , 2016, Journal of experimental psychology. General.
[85] S. Dehaene,et al. Interactions between number and space in parietal cortex , 2005, Nature Reviews Neuroscience.
[86] M. H. Fischer,et al. Do Negative Numbers Have a Place on the Mental Number Line , 2005 .
[87] C. Schiltz,et al. The Impact of Mathematical Proficiency on the Number-Space Association , 2014, PloS one.
[88] Steven A Hecht,et al. Counting on working memory in simple arithmetic when counting is used for problem solving , 2002, Memory & cognition.
[89] H. Barth,et al. Developmental change in numerical estimation. , 2013, Journal of experimental psychology. General.
[90] Caitlin Tenison,et al. Weak task-related modulation and stimulus representations during arithmetic problem solving in children with developmental dyscalculia , 2012, Developmental Cognitive Neuroscience.
[91] Christine Schiltz,et al. The impact of inhibition capacities and age on number–space associations , 2014, Cognitive Processing.
[92] D. Uttal,et al. Spatial Thinking and STEM Education. When, Why, and How? , 2012 .
[93] Robert S. Siegler,et al. Representational change and children’s numerical estimation , 2007, Cognitive Psychology.
[94] W. Fias,et al. How Does Working Memory Enable Number-Induced Spatial Biases? , 2016, Front. Psychol..
[95] M. Barnes,et al. Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. , 2010 .
[96] L. Verschaffel,et al. The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. , 2009, Journal of experimental child psychology.
[97] C. Schiltz,et al. How Math Anxiety Relates to Number–Space Associations , 2016, Front. Psychol..
[98] F. Restle. Speed of Adding and Comparing Numbers. , 1970 .
[99] M. Delazer,et al. Learning complex arithmetic--an fMRI study. , 2003, Brain research. Cognitive brain research.
[100] C. Schiltz,et al. Task instructions determine the visuospatial and verbal–spatial nature of number–space associations , 2015, Quarterly journal of experimental psychology.
[101] J. Leybaert,et al. Symbolic Number Abilities Predict Later Approximate Number System Acuity in Preschool Children , 2014, PloS one.
[102] Bert De Smedt,et al. Numerical Magnitude Representations and Individual Differences in Children's Arithmetic Strategy Use , 2012 .
[103] Sian L. Beilock,et al. Numerical ordering ability mediates the relation between number-sense and arithmetic competence , 2011, Cognition.
[104] Michael Schneider,et al. Mental number line, number line estimation, and mathematical achievement : Their interrelations in grades 5 and 6 , 2009 .
[105] Guilherme Wood,et al. On the Cognitive Link between Space and Number: A Meta-Analysis of the SNARC Effect , 2008 .
[106] Stanislas Dehaene,et al. Moving along the Number Line: Operational Momentum in Nonsymbolic Arithmetic , 2006 .
[107] W. Fias,et al. Semantic Influences on Feature-Based Attention Due to Overlap of Neural Circuits , 2002, Cortex.
[108] Identification of strategies used in solving transformational geometry problems , 1994 .
[109] Christa Neuper,et al. Individual differences in mathematical competence predict parietal brain activation during mental calculation , 2007, NeuroImage.
[110] Yang Seok Cho,et al. Polarity correspondence: A general principle for performance of speeded binary classification tasks. , 2006, Psychological bulletin.
[111] E. Spelke,et al. Language and Conceptual Development series Core systems of number , 2004 .
[112] G. Scerif,et al. Executive Functioning as a Predictor of Children's Mathematics Ability: Inhibition, Switching, and Working Memory , 2001, Developmental neuropsychology.
[113] M. von Aster,et al. Number development and developmental dyscalculia , 2007, Developmental medicine and child neurology.
[114] Samuel Shaki,et al. Spatial Associations in Numerical Cognition—From Single Digits to Arithmetic , 2014, Quarterly journal of experimental psychology.
[115] D. Ansari,et al. Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading , 2016, PloS one.