Citations (77)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (10)
Xinchen Fu, Xiaodong Li, Ping Xu & Jie Zeng. (2020) Inhibiting the Whole Number Bias in a Fraction Comparison Task: An Event-Related Potential Study. Psychology Research and Behavior Management 13, pages 245-255.
Read now
Read now
Alison T. Miller Singley & Silvia A. Bunge. (2018) Eye gaze patterns reveal how we reason about fractions. Thinking & Reasoning 24:4, pages 445-468.
Read now
Read now
Paulo Barraza, Rodrigo Avaria & Ivo Leiva. (2017) The role of attentional networks in the access to the numerical magnitude of fractions in adults / El rol de las redes atencionales en el acceso a la magnitud numérica de fracciones en adultos. Studies in Psychology 38:2, pages 495-522.
Read now
Read now
Li Zhang, Qiaochu Fang, Florence C. Gabriel & Denes Szűcs. (2016) Common magnitude representation of fractions and decimals is task dependent. The Quarterly Journal of Experimental Psychology 69:4, pages 764-780.
Read now
Read now
Anja Ischebeck, Marina Weilharter & Christof Körner. (2016) Eye movements reflect and shape strategies in fraction comparison. The Quarterly Journal of Experimental Psychology 69:4, pages 713-727.
Read now
Read now
Chunhui Liu, Ziqiang Xin, Chongde Lin & Clarissa A. Thompson. (2013) Children’s mental representation when comparing fractions with common numerators. Educational Psychology 33:2, pages 175-191.
Read now
Read now
Sara Fabbri, Sara Caviola, Joey Tang, Marco Zorzi & Brian Butterworth. (2012) The role of numerosity in processing nonsymbolic proportions. The Quarterly Journal of Experimental Psychology 65:12, pages 2435-2446.
Read now
Read now
Gaëlle Meert, Jacques Grégoire, Xavier Seron & Marie-Pascale Noël. (2012) The mental representation of the magnitude of symbolic and nonsymbolic ratios in adults. The Quarterly Journal of Experimental Psychology 65:4, pages 702-724.
Read now
Read now
Teresa Iuculano & Brian Butterworth. (2011) Understanding the real value of fractions and decimals. The Quarterly Journal of Experimental Psychology 64:11, pages 2088-2098.
Read now
Read now
Dana Ganor-Stern, Michal Pinhas, Arava Kallai & Joseph Tzelgov. (2010) Holistic representation of negative numbers is formed when needed for the task. The Quarterly Journal of Experimental Psychology 63:10, pages 1969-1981.
Read now
Read now
Articles from other publishers (67)
Hao Wu, Yuding Zhang, Qiong Luo & Zhengzhou Zhu. (2023) The magnitude representations of fractions of Chinese students: evidence from behavioral experiment and eye-tracking. Current Psychology.
Crossref
Crossref
Konstantinos P. Christou & Xenia Vamvakoussi. (2021) Natural number bias on evaluations of the effect of multiplication and division: the role of the type of numbers. Mathematics Education Research Journal.
Crossref
Crossref
Linsah Coulanges, Roberto A. Abreu-Mendoza, Sashank Varma, Melina R. Uncapher, Adam Gazzaley, Joaquin Anguera & Miriam Rosenberg-Lee. (2021) Linking inhibitory control to math achievement via comparison of conflicting decimal numbers. Cognition 214, pages 104767.
Crossref
Crossref
Ami Feder, Mariya Lozin & Michal Pinhas. (2020) No power: exponential expressions are not processed automatically as such. Psychological Research 85:5, pages 2079-2097.
Crossref
Crossref
Fernando Ojedo & Pedro Macizo. (2021) The processing of prices across numerical formats. Acta Psychologica 215, pages 103288.
Crossref
Crossref
Stella Vosniadou. 2021. Heterogeneous Contributions to Numerical Cognition. Heterogeneous Contributions to Numerical Cognition
95
115
.
David Maximiliano Gómez & Nicolás Morales. 2021. Mathematical Reasoning of Children and Adults. Mathematical Reasoning of Children and Adults
69
93
.
Sabrina M. Di Lonardo Burr, Heather Douglas, Maria Vorobeva & Kasia Muldner. (2020) Refuting misconceptions: Computer tutors for fraction arithmetic. Journal of Numerical Cognition 6:3, pages 355-377.
Crossref
Crossref
Priya B. Kalra, John V. Binzak, Percival G. Matthews & Edward M. Hubbard. (2020) Symbolic fractions elicit an analog magnitude representation in school-age children. Journal of Experimental Child Psychology 195, pages 104844.
Crossref
Crossref
Priya B. Kalra, Edward M. Hubbard & Percival G. Matthews. (2020) Taking the relational structure of fractions seriously: Relational reasoning predicts fraction knowledge in elementary school children. Contemporary Educational Psychology 62, pages 101896.
Crossref
Crossref
Nicolás Morales, Pablo Dartnell & David Maximiliano Gómez. (2020) A Study on Congruency Effects and Numerical Distance in Fraction Comparison by Expert Undergraduate Students. Frontiers in Psychology 11.
Crossref
Crossref
Alison T. Miller Singley, Jeffrey Lynn Crawford & Silvia A. Bunge. (2020) Eye gaze patterns reflect how young fraction learners approach numerical comparisons. Journal of Numerical Cognition 6:1, pages 83-107.
Crossref
Crossref
John V. Binzak & Edward M. Hubbard. (2020) No calculation necessary: Accessing magnitude through decimals and fractions. Cognition 199, pages 104219.
Crossref
Crossref
Sandrine Rossi, Julie Vidal, Marie Letang, Olivier Houdé & Grégoire Borst. (2019) Adolescents and adults need inhibitory control to compare fractions. Journal of Numerical Cognition 5:3, pages 314-336.
Crossref
Crossref
David Maximiliano Gómez & Pablo Dartnell. (2018) Middle Schoolers’ Biases and Strategies in a Fraction Comparison Task. International Journal of Science and Mathematics Education 17:6, pages 1233-1250.
Crossref
Crossref
Julia Mock, Stefan Huber, Johannes Bloechle, Julia F. Dietrich, Julia Bahnmueller, Johannes Rennig, Elise Klein & Korbinian Moeller. (2018) Magnitude processing of symbolic and non-symbolic proportions: an fMRI study. Behavioral and Brain Functions 14:1.
Crossref
Crossref
Stella Vosniadou, Dimitrios Pnevmatikos & Nikos Makris. (2018) The role of executive function in the construction and employment of scientific and mathematical concepts that require conceptual change learning. Neuroeducation 5:2, pages 62-72.
Crossref
Crossref
Reuven Babai, Eldad Cohen & Ruth Stavy. (2018) Proportional reasoning: Reducing the interference of natural numbers through an intervention based on the problem-solving framework of executive functions. Neuroeducation 5:2, pages 109-118.
Crossref
Crossref
Andreas Obersteiner & Isabella Staudinger. (2018) How the eyes add fractions: Adult eye movement patterns during fraction addition problems. Journal of Numerical Cognition 4:2, pages 317-336.
Crossref
Crossref
Fuchang Liu. (2018) Mental representation of fractions: It all depends on whether they are common or uncommon. Quarterly Journal of Experimental Psychology 71:9, pages 1873-1886.
Crossref
Crossref
Elizabeth Y Toomarian & Edward M Hubbard. (2018) The fractions SNARC revisited: Processing fractions on a consistent mental number line. Quarterly Journal of Experimental Psychology 71:8, pages 1761-1770.
Crossref
Crossref
Xenia Vamvakoussi, Konstantinos P. Christou & Stella Vosniadou. (2018) Bridging psychological and educational research on rational number knowledge. Journal of Numerical Cognition 4:1, pages 84-106.
Crossref
Crossref
Jing Tian & Robert S. Siegler. (2017) Which Type of Rational Numbers Should Students Learn First?. Educational Psychology Review 30:2, pages 351-372.
Crossref
Crossref
David W. Braithwaite & Robert S. Siegler. (2018) Developmental changes in the whole number bias. Developmental Science 21:2, pages e12541.
Crossref
Crossref
Nancy C. Jordan, Ilyse Resnick, Jessica Rodrigues, Nicole Hansen & Nancy Dyson. (2016) Delaware Longitudinal Study of Fraction Learning: Implications for Helping Children With Mathematics Difficulties. Journal of Learning Disabilities 50:6, pages 621-630.
Crossref
Crossref
Melissa DeWolf, Ji Y. Son, Miriam Bassok & Keith J. Holyoak. (2017) Relational Priming Based on a Multiplicative Schema for Whole Numbers and Fractions. Cognitive Science 41:8, pages 2053-2088.
Crossref
Crossref
Nicole Hansen, Nancy C. Jordan & Jessica Rodrigues. (2017) Identifying learning difficulties with fractions: A longitudinal study of student growth from third through sixth grade. Contemporary Educational Psychology 50, pages 45-59.
Crossref
Crossref
Stefan Huber, Julia F. Dietrich, Benjamin Nagengast & Korbinian Moeller. (2016) Using propensity score matching to construct experimental stimuli. Behavior Research Methods 49:3, pages 1107-1119.
Crossref
Crossref
Andreas Obersteiner & Veronika Hofreiter. (2017) Do we have a sense for irrational numbers?. Journal of Numerical Cognition 2:3, pages 170-189.
Crossref
Crossref
Robert S. Siegler & David W. Braithwaite. (2017) Numerical Development. Annual Review of Psychology 68:1, pages 187-213.
Crossref
Crossref
Nancy C. Jordan, Jessica Rodrigues, Nicole Hansen & Ilyse Resnick. 2017. Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts. Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts
125
140
.
Ruth Stavy, Reuven Babai & Arava Y. Kallai. (2016) Proportional Reasoning. Zeitschrift für Psychologie 224:4, pages 266-276.
Crossref
Crossref
Andreas Obersteiner & Christine Tumpek. (2015) Measuring fraction comparison strategies with eye-tracking. ZDM 48:3, pages 255-266.
Crossref
Crossref
Robert S. Siegler. (2016) Magnitude knowledge: the common core of numerical development. Developmental Science 19:3, pages 341-361.
Crossref
Crossref
Thomas J. Faulkenberry, Alexander Cruise, Dmitri Lavro & Samuel Shaki. (2016) Response trajectories capture the continuous dynamics of the size congruity effect. Acta Psychologica 163, pages 114-123.
Crossref
Crossref
Tali Leibovich, Arava Y. Kallai & Shai Itamar. 2016. Continuous Issues in Numerical Cognition. Continuous Issues in Numerical Cognition
355
373
.
Hugues Lortie-Forgues, Jing Tian & Robert S. Siegler. (2015) Why is learning fraction and decimal arithmetic so difficult?. Developmental Review 38, pages 201-221.
Crossref
Crossref
Nicole Hansen, Nancy C. Jordan, Edmund Fernandez, Robert S. Siegler, Lynn Fuchs, Russell Gersten & Deborah Micklos. (2015) General and math-specific predictors of sixth-graders’ knowledge of fractions. Cognitive Development 35, pages 34-49.
Crossref
Crossref
Thomas J. Faulkenberry, Sarah A. Montgomery & Sarah-Ann N. Tennes. (2015) Response trajectories reveal the temporal dynamics of fraction representations. Acta Psychologica 159, pages 100-107.
Crossref
Crossref
Melissa DeWolf & Stella Vosniadou. (2015) The representation of fraction magnitudes and the whole number bias reconsidered. Learning and Instruction 37, pages 39-49.
Crossref
Crossref
Li Zhang, Qiaochu Fang, Florence C. Gabriel & Dénes Szücs. (2014) The componential processing of fractions in adults and children: effects of stimuli variability and contextual interference. Frontiers in Psychology 5.
Crossref
Crossref
Drew H. Bailey, Robert S. Siegler & David C. Geary. (2014) Early predictors of middle school fraction knowledge. Developmental Science 17:5, pages 775-785.
Crossref
Crossref
Robert S. Siegler & Hugues Lortie-Forgues. (2014) An Integrative Theory of Numerical Development. Child Development Perspectives 8:3, pages 144-150.
Crossref
Crossref
Paulo Barraza, David M. Gómez, Felipe Oyarzún & Pablo Dartnell. (2014) Long-distance neural synchrony correlates with processing strategies to compare fractions. Neuroscience Letters 567, pages 40-44.
Crossref
Crossref
S. Huber, K. Moeller & H.-C. Nuerk. (2014) Adaptive processing of fractions — Evidence from eye-tracking. Acta Psychologica 148, pages 37-48.
Crossref
Crossref
Robert S. Siegler & Clarissa A. Thompson. (2014) Numerical landmarks are useful—except when they’re not. Journal of Experimental Child Psychology 120, pages 39-58.
Crossref
Crossref
Andreas Obersteiner, Wim Van Dooren, Jo Van Hoof & Lieven Verschaffel. (2013) The natural number bias and magnitude representation in fraction comparison by expert mathematicians. Learning and Instruction 28, pages 64-72.
Crossref
Crossref
Gaëlle Meert, Jacques Grégoire, Xavier Seron & Marie-Pascale Noël. (2013) The Processing of Symbolic and Nonsymbolic Ratios in School-Age Children. PLoS ONE 8:11, pages e82002.
Crossref
Crossref
Florence C. Gabriel, Denes Szucs & Alain Content. (2013) The Development of the Mental Representations of the Magnitude of Fractions. PLoS ONE 8:11, pages e80016.
Crossref
Crossref
Li Zhang, Qi Wang, Chongde Lin, Cody Ding & Xinlin Zhou. (2013) An ERP Study of the Processing of Common and Decimal Fractions: How Different They Are. PLoS ONE 8:7, pages e69487.
Crossref
Crossref
Michèle M.M. Mazzocco, Gwen F. Myers, Katherine E. Lewis, Laurie B. Hanich & Melissa M. Murphy. (2013) Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) versus low mathematics achievement. Journal of Experimental Child Psychology 115:2, pages 371-387.
Crossref
Crossref
Sashank Varma & Stacy R. Karl. (2013) Understanding decimal proportions: Discrete representations, parallel access, and privileged processing of zero. Cognitive Psychology 66:3, pages 283-301.
Crossref
Crossref
Erin Warren & Dale J. Cohen. (2012) On the relativity of relative frequencies. Attention, Perception, & Psychophysics 75:3, pages 614-629.
Crossref
Crossref
Dana Ganor-Stern. (2013) Are 1/2 and 0.5 represented in the same way?. Acta Psychologica 142:3, pages 299-307.
Crossref
Crossref
Florence Gabriel, Frédéric Coché, Dénes Szucs, Vincent Carette, Bernard Rey & Alain Content. (2012) Developing Children's Understanding of Fractions: An Intervention Study. Mind, Brain, and Education 6:3, pages 137-146.
Crossref
Crossref
Xenia Vamvakoussi, Wim Van Dooren & Lieven Verschaffel. (2012) Naturally biased? In search for reaction time evidence for a natural number bias in adults. The Journal of Mathematical Behavior 31:3, pages 344-355.
Crossref
Crossref
Simon N. Jacob, Daniela Vallentin & Andreas Nieder. (2012) Relating magnitudes: the brain's code for proportions. Trends in Cognitive Sciences 16:3, pages 157-166.
Crossref
Crossref
Li Zhang, Ziqiang Xin, Fuhong Li, Qi Wang, Cody Ding & Hong Li. (2011) An ERP study on the processing of common fractions. Experimental Brain Research 217:1, pages 25-34.
Crossref
Crossref
Arava Y. Kallai & Joseph Tzelgov. (2012) When meaningful components interrupt the processing of the whole: The case of fractions. Acta Psychologica 139:2, pages 358-369.
Crossref
Crossref
Dana Ganor-Stern. (2012) Fractions but not negative numbers are represented on the mental number line. Acta Psychologica 139:2, pages 350-357.
Crossref
Crossref
D. Vallentin, S.N. Jacob ·A. Nieder. (2012) Neuronal representation of number and proportion in the primate brain. e-Neuroforum 18:2.
Crossref
Crossref
Dana Ganor-Stern, Irina Karasik-Rivkin & Joseph Tzelgov. (2011) Holistic Representation of Unit Fractions. Experimental Psychology 58:3, pages 201-206.
Crossref
Crossref
Lisa Sprute & Elise Temple. (2011) Representations of Fractions: Evidence for Accessing the Whole Magnitude in Adults. Mind, Brain, and Education 5:1, pages 42-47.
Crossref
Crossref
Hans-Christoph Nuerk, Korbinian Moeller, Elise Klein, Klaus Willmes & Martin H. Fischer. (2011) Extending the Mental Number Line. Zeitschrift für Psychologie 219:1, pages 3-22.
Crossref
Crossref
Thomas J. Faulkenberry & Benton H. Pierce. (2011) Mental Representations in Fraction Comparison. Experimental Psychology 58:6, pages 480-489.
Crossref
Crossref
Gaëlle Meert, Jacques Grégoire & Marie-Pascale Noël. (2010) Comparing the magnitude of two fractions with common components: Which representations are used by 10- and 12-year-olds?. Journal of Experimental Child Psychology 107:3, pages 244-259.
Crossref
Crossref
Gaëlle Meert, Jacques Grégoire & Marie-Pascale Noël. (2010) Comparing 5/7 and 2/9: Adults can do it by accessing the magnitude of the whole fractions. Acta Psychologica 135:3, pages 284-292.
Crossref
Crossref