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Research papers

Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks

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Pages 154-164 | Published online: 14 Jun 2013

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Read on this site (4)

Konstantinos P. Christou, Despoina Ioanna Kyrvei & Xenia Vamvakoussi. (2022) Interpreting literal symbols in algebra under the effects of the natural number bias. Mathematical Thinking and Learning 0:0, pages 1-14.
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Sergio Morra, Elisa Bisagno, Sara Caviola, Chiara Delfante & Irene Cristina Mammarella. (2019) Working Memory Capacity and the Development of Quantitative Central Conceptual Structures. Cognition and Instruction 37:4, pages 483-511.
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Mikko Kainulainen, Jake McMullen & Erno Lehtinen. (2017) Early Developmental Trajectories Toward Concepts of Rational Numbers. Cognition and Instruction 35:1, pages 4-19.
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Articles from other publishers (59)

Karen De Keersmaeker, Jo Van Hoof & Wim Van Dooren. (2022) The relationship between primary school children’s inhibition and the processing of rational numbers. European Journal of Psychology of Education 38:4, pages 1527-1549.
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Frank Reinhold, Timo Leuders & Katharina Loibl. (2023) Disentangling magnitude processing, natural number biases, and benchmarking in fraction comparison tasks: A person-centered Bayesian classification approach. Contemporary Educational Psychology 75, pages 102224.
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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 35:3, pages 427-443.
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Yuan Yuan & Kuolong Chen. (2022) Whole Number Bias of Students in Fraction Number Line Tasks. International Journal of Science and Mathematics Education 21:5, pages 1433-1449.
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Parnika Bhatia, Jessica Léone, Marie-Line Gardes & Jérôme Prado. (2023) Fraction Knowledge in Adults With Persistent Mathematics Difficulties. Learning Disability Quarterly, pages 073194872311713.
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Parnika Bhatia, Sarah Le Diagon, Emma Langlois, Melissa William, Jérôme Prado & Marie‐Line Gardes. (2022) Impact of a game‐based intervention on fraction learning for fifth‐grade students: A pre‐registered randomized controlled study. Journal of Computer Assisted Learning 39:1, pages 49-62.
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Lin Li & Guoqiang Zhou. (2023) Conceptual change in time: A critical interpretive synthesis of experimental studies. SN Social Sciences 3:1.
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Sabrina M. Di Lonardo Burr, Chang Xu, Hongxia Li, Jiwei Si, Jo‐Anne LeFevre & Yangyang Wang. (2022) Fraction mapping and fraction comparison skills among grade 4 Chinese students: An error analysis. British Journal of Educational Psychology 92:4, pages 1335-1353.
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Calliste Scheibling-Sève, Katarina Gvozdic, Elena Pasquinelli & Emmanuel Sander. (2022) Enhancing cognitive flexibility through a training based on multiple categorization: Developing proportional reasoning in primary school. Journal of Numerical Cognition 8:3, pages 443-472.
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Andreas Obersteiner, Martha Wagner Alibali & Vijay Marupudi. (2022) Comparing fraction magnitudes: Adults’ verbal reports reveal strategy flexibility and adaptivity, but also bias. Journal of Numerical Cognition 8:3, pages 398-413.
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Febe Demedts, Bert Reynvoet, Delphine Sasanguie & Fien Depaepe. (2022) Unraveling the role of math anxiety in students’ math performance. Frontiers in Psychology 13.
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Mimi Hariyani, Tatang Herman & Didi Suryadi. (2022) Exploration of Student Learning Obstacles in Solving Fraction Problems in Elementary School. International Journal of Educational Methodology 8:3, pages 505-515.
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Ioannis Rizos & Maria Adam. (2022) Mathematics students’ conceptions and reactions to questions concerning the nature of rational and irrational numbers. International Electronic Journal of Mathematics Education 17:3, pages em0686.
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Margot Roell, Olivier Houdé, Grégoire Borst & Arnaud Viarouge. 2022. The Cambridge Handbook of Cognitive Development. The Cambridge Handbook of Cognitive Development 383 407 .
Benjamin Shongwe. (2021) Early career teacher’s approach to fraction equivalence in Grade 4: A dialogic teaching perspective. Pythagoras 42:1.
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Lynn S. Fuchs & Amelia S. Malone. (2021) Can Teaching Fractions Improve Teachers’ Fraction Understanding?. The Elementary School Journal 121:4, pages 656-673.
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Pernille Ladegaard Pedersen & Mette Bjerre. (2021) Two conceptions of fraction equivalence. Educational Studies in Mathematics 107:1, pages 135-157.
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David Maximiliano Gómez. (2021) Non-symbolic and symbolic number and the approximate number system. Behavioral and Brain Sciences 44.
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Jo Van Hoof, Lieven Verschaffel, Wim De Neys & Wim Van Dooren. (2020) Intuitive errors in learners’ fraction understanding: A dual-process perspective on the natural number bias. Memory & Cognition 48:7, pages 1171-1180.
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Juan Manuel González-Forte, Ceneida Fernández, Jo Van Hoof & Wim Van Dooren. (2019) Various ways to determine rational number size: an exploration across primary and secondary education. European Journal of Psychology of Education 35:3, pages 549-565.
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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.
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Andreas Obersteiner, Martha Wagner Alibali & Vijay Marupudi. (2020) Complex fraction comparisons and the natural number bias: The role of benchmarks. Learning and Instruction 67, pages 101307.
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Taro Fujita, Yutaka Kondo, Hiroyuki Kumakura, Susumu Kunimune & Keith Jones. (2020) Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9. Mathematics Education Research Journal 32:2, pages 235-255.
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Frank Reinhold, Andreas Obersteiner, Stefan Hoch, Sarah Isabelle Hofer & Kristina Reiss. (2020) The Interplay Between the Natural Number Bias and Fraction Magnitude Processing in Low-Achieving Students. Frontiers in Education 5.
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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.
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Margot Roell, Arnaud Viarouge, Olivier Houdé & Grégoire Borst. (2019) Inhibition of the whole number bias in decimal number comparison: A developmental negative priming study. Journal of Experimental Child Psychology 177, pages 240-247.
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Andreas Obersteiner, Kristina Reiss, Wim Van Dooren & Jo Van Hoof. 2019. International Handbook of Mathematical Learning Difficulties. International Handbook of Mathematical Learning Difficulties 581 594 .
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Andreas Obersteiner, Thomas Dresler, Silke M. Bieck & Korbinian Moeller. 2019. Constructing Number. Constructing Number 135 162 .
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.
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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.
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Stella Vosniadou, Dimitrios Pnevmatikos, Nikos Makris, Despina Lepenioti, Kalliopi Eikospentaki, Anna Chountala & Giorgos Kyrianakis. (2018) The Recruitment of Shifting and Inhibition in On‐line Science and Mathematics Tasks. Cognitive Science 42:6, pages 1860-1886.
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Jake McMullen, Jo Van Hoof, Tine Degrande, Lieven Verschaffel & Wim Van Dooren. (2018) Profiles of rational number knowledge in Finnish and Flemish students – A multigroup latent class analysis. Learning and Individual Differences 66, pages 70-77.
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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.
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Kristian Kiili, Korbinian Moeller & Manuel Ninaus. (2018) Evaluating the effectiveness of a game-based rational number training - In-game metrics as learning indicators. Computers & Education 120, pages 13-28.
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Jo Van Hoof, Lieven Verschaffel, Pol Ghesquière & Wim Van Dooren. (2017) The natural number bias and its role in rational number understanding in children with dyscalculia. Delay or deficit?. Research in Developmental Disabilities 71, pages 181-190.
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Margot Roell, Arnaud Viarouge, Olivier Houdé & Grégoire Borst. (2017) Inhibitory control and decimal number comparison in school-aged children. PLOS ONE 12:11, pages e0188276.
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Stephanie Lem, Patrick Onghena, Lieven Verschaffel & Wim Van Dooren. (2016) The power of refutational text: changing intuitions about the interpretation of box plots. European Journal of Psychology of Education 32:4, pages 537-550.
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Andreas Obersteiner & Veronika Hofreiter. (2017) Do we have a sense for irrational numbers?. Journal of Numerical Cognition 2:3, pages 170-189.
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Jo Van Hoof, Xenia Vamvakoussi, Wim Van Dooren & Lieven Verschaffel. 2017. Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts. Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts 101 123 .
Andreas Obersteiner, Jo Van Hoof, Lieven Verschaffel & Wim Van Dooren. (2016) Who can escape the natural number bias in rational number tasks? A study involving students and experts. British Journal of Psychology 107:3, pages 537-555.
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Marie-Josée Bisson, Camilla Gilmore, Matthew Inglis & Ian Jones. (2016) Measuring Conceptual Understanding Using Comparative Judgement. International Journal of Research in Undergraduate Mathematics Education 2:2, pages 141-164.
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Amélie Lubin, Emmanuelle Regrin, Laetitia Boulc’h, Sébastien Pacton & Céline Lanoë. (2016) Executive Functions Differentially Contribute to Fourth Graders’ Mathematics, Reading, and Spelling Skills. Journal of Cognitive Education and Psychology 15:3, pages 444-463.
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Andreas Obersteiner, Matthias Bernhard & Kristina Reiss. (2015) Primary school children’s strategies in solving contingency table problems: the role of intuition and inhibition. ZDM 47:5, pages 825-836.
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Stephanie Lem. (2015) The intuitiveness of the law of large numbers. ZDM 47:5, pages 783-792.
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Jake McMullen, Minna M. Hannula-Sormunen & Erno Lehtinen. (2015) Preschool spontaneous focusing on numerosity predicts rational number conceptual knowledge 6 years later. ZDM 47:5, pages 813-824.
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Jo Van Hoof, Lieven Verschaffel & Wim Van Dooren. (2015) Inappropriately applying natural number properties in rational number tasks: characterizing the development of the natural number bias through primary and secondary education. Educational Studies in Mathematics 90:1, pages 39-56.
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Xenia Vamvakoussi. (2015) The development of rational number knowledge: Old topic, new insights. Learning and Instruction 37, pages 50-55.
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Wim Van Dooren, Erno Lehtinen & Lieven Verschaffel. (2015) Unraveling the gap between natural and rational numbers. Learning and Instruction 37, pages 1-4.
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Melissa DeWolf & Stella Vosniadou. (2015) The representation of fraction magnitudes and the whole number bias reconsidered. Learning and Instruction 37, pages 39-49.
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Jo Van Hoof, Jolien Vandewalle, Lieven Verschaffel & Wim Van Dooren. (2015) In search for the natural number bias in secondary school students' interpretation of the effect of arithmetical operations. Learning and Instruction 37, pages 30-38.
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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.
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