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Original Articles

Automatic activation of multiplication facts: Evidence from the nodes adjacent to the product

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Pages 31-61 | Published online: 22 Sep 2010

Keep up to date with the latest research on this topic with citation updates for this article.

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Helen C. Reed, Michelle Gemmink, Marije Broens-Paffen, Paul A. Kirschner & Jelle Jolles. (2015) Improving multiplication fact fluency by choosing between competing answers. Research in Mathematics Education 17:1, pages 1-19.
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Nick Perham & Stephanie Macpherson. (2012) Mental arithmetic and irrelevant auditory number similarity disruption. The Irish Journal of Psychology 33:4, pages 181-192.
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MirteS. van Galen & Pieter Reitsma. (2011) Transfer Effects in Children's Recall of Arithmetic Facts. Cognition and Instruction 29:3, pages 330-348.
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Josetxu Orrantia, Laura Rodríguez & Santiago Vicente. (2010) Automatic activation of addition facts in arithmetic word problems. The Quarterly Journal of Experimental Psychology 63:2, pages 310-319.
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L. Zamarian, T. Bodner, S. K. Revkin, T. Benke, S. Boesch, E. Donnemiller & M. Delazer. (2009) Numerical deficits in a single case of basal ganglia dysfunction. Neurocase 15:5, pages 390-404.
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Dong Xuan, Suhong Wang, Yilin Yang, Ping Meng, Feng Xu, Wen Yang, Wei Sheng & Yuxia Yang. (2007) Age Difference in Numeral Recognition and Calculation: An Event-related Potential Study. Child Neuropsychology 13:1, pages 1-17.
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Natalie Jackson & Jeffrey Coney. (2007) Simple arithmetic processing: Individual differences in automaticity. European Journal of Cognitive Psychology 19:1, pages 141-160.
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Elena Rusconi, Konstantinos Priftis, Maria Luisa Rusconi & Carlo Umiltà. (2006) Arithmetic priming from neglected numbers. Cognitive Neuropsychology 23:2, pages 227-239.
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Maud Deschuyteneer & André Vandierendonck. (2005) Are “input monitoring” and “response selection” involved in solving simple mental arithmetical sums?. European Journal of Cognitive Psychology 17:3, pages 347-370.
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Elena Rusconi, Giovanni Galfano, Viviana Speriani & Carlo Umiltà. (2004) Capacity and contextual constraints on product activation: Evidence from task-irrelevant fact retrieval. The Quarterly Journal of Experimental Psychology Section A 57:8, pages 1485-1511.
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Articles from other publishers (51)

Xiaodong Li, Ping Xu, Ronghuan Jiang & Shuang Chen. (2023) The role of inhibition in overcoming arithmetic natural number bias in the Chinese context: Evidence from behavioral and ERP experiments. Learning and Instruction 86, pages 101752.
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Samuel D McDougle, Jonathan S Tsay, Benjamin Pitt, Maedbh King, William Saban, Jordan A Taylor & Richard B Ivry. (2022) Continuous manipulation of mental representations is compromised in cerebellar degeneration. Brain 145:12, pages 4246-4263.
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Laura Zamarian, Margarete Delazer & Carlo Semenza. (2022) Arithmetic (Re-)Learning in Neurological Patients. Lernen und Lernstörungen 11:4.
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Daniele Didino, Matthias Brandtner & André Knops. (2022) No influence of masked priming on the multiplication fact retrieval in a result verification task. Journal of Numerical Cognition 8:1, pages 202-225.
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Elena Salillas, Francesco Piccione, Silvia di Tomasso, Sara Zago, Giorgio Arcara & Carlo Semenza. (2021) Neurofunctional Components of Simple Calculation: A Magnetoencephalography Study. Cerebral Cortex 31:2, pages 1149-1162.
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Feng Xiao, Tie Sun, Xue-Li Cai & Qing-Fei Chen. (2020) Task relevance effect on number/shape conflict detection in the number-matching task: An ERP study. Acta Psychologica 208, pages 103126.
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Tim Jay, Jake Habgood, Martyn Mees & Paul Howard-Jones. (2019) Game-Based Training to Promote Arithmetic Fluency. Frontiers in Education 4.
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Yalin Chen & Jamie I. D. Campbell. (2017) “Compacted” procedures for adults’ simple addition: A review and critique of the evidence. Psychonomic Bulletin & Review 25:2, pages 739-753.
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Romain Mathieu, Justine Epinat-Duclos, Jessica Léone, Michel Fayol, Catherine Thevenot & Jérôme Prado. (2018) Hippocampal spatial mechanisms relate to the development of arithmetic symbol processing in children. Developmental Cognitive Neuroscience 30, pages 324-332.
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André Knops. 2018. Heterogeneity of Function in Numerical Cognition. Heterogeneity of Function in Numerical Cognition 211 232 .
Johannes Bloechle, Stefan Huber, Julia Bahnmueller, Johannes Rennig, Klaus Willmes, Seda Cavdaroglu, Korbinian Moeller & Elise Klein. (2016) Fact learning in complex arithmetic—the role of the angular gyrus revisited. Human Brain Mapping 37:9, pages 3061-3079.
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Loel Nicholas Tronsky. (2016) The obligatory activation of practiced complex multiplication facts and what it tells us about models of arithmetic processing. Journal of Numerical Cognition 2:2, pages 140-165.
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Evan T. Curtis, Matthew G. Huebner & Jo-Anne LeFevre. (2016) The relationship between problem size and fixation patterns during addition, subtraction, multiplication, and division. Journal of Numerical Cognition 2:2, pages 91-115.
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J. Mock, S. Huber, E. Klein & K. Moeller. (2016) Insights into numerical cognition: considering eye-fixations in number processing and arithmetic. Psychological Research 80:3, pages 334-359.
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Marco Fabbri. (2015) Are Arithmetic Networks Interdependent In Number-Matching Task?. Current Psychology 35:1, pages 149-158.
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Romain Mathieu, Audrey Gourjon, Auriane Couderc, Catherine Thevenot & Jérôme Prado. (2016) Running the number line: Rapid shifts of attention in single-digit arithmetic. Cognition 146, pages 229-239.
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Chiara Avancini, Fruzsina Soltész & Dénes Szűcs. (2015) Separating stages of arithmetic verification: An ERP study with a novel paradigm. Neuropsychologia 75, pages 322-329.
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Daniele Didino, André Knops, Francesco Vespignani & Suchada Kornpetpanee. (2015) Asymmetric activation spreading in the multiplication associative network due to asymmetric overlap between numerosities semantic representations?. Cognition 141, pages 1-8.
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Helen C. Reed, Claire Stevenson, Marije Broens-Paffen, Paul A. Kirschner & Jelle Jolles. (2015) Third graders’ verbal reports of multiplication strategy use: How valid are they?. Learning and Individual Differences 37, pages 107-117.
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Chiara Avancini, Giovanni Galfano & Dénes Szűcs. (2014) Dissociation between arithmetic relatedness and distance effects is modulated by task properties: An ERP study comparing explicit vs. implicit arithmetic processing. Biological Psychology 103, pages 305-316.
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Silvia Benavides-Varela, Marco Pitteri, Konstantinos Priftis, Laura Passarini, Francesca Meneghello & Carlo Semenza. (2014) Right-hemisphere (spatial?) acalculia and the influence of neglect. Frontiers in Human Neuroscience 8.
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Michael Andres, Nicolas Michaux & Mauro Pesenti. (2012) Common substrate for mental arithmetic and finger representation in the parietal cortex. NeuroImage 62:3, pages 1520-1528.
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Elena Salillas & Nicole Y. Y. Wicha. (2012) Early Learning Shapes the Memory Networks for Arithmetic. Psychological Science 23:7, pages 745-755.
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Michel Fayol & Catherine Thevenot. (2012) The use of procedural knowledge in simple addition and subtraction problems. Cognition 123:3, pages 392-403.
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Katherine M. Robinson & Jo-Anne LeFevre. (2011) The inverse relation between multiplication and division: Concepts, procedures, and a cognitive framework. Educational Studies in Mathematics 79:3, pages 409-428.
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Elena Salillas, Carlo Semenza, Demis Basso, Tomaso Vecchi & Michael Siegal. (2012) Single pulse TMS induced disruption to right and left parietal cortex on addition and multiplication. NeuroImage 59:4, pages 3159-3165.
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Mingliang Zhang, Jiwei Si & Xiaowen Zhu. (2012) The Reversed Neighborhood Effects in Mental Arithmetic of Spoken Mandarin Number Words. Psychology 03:01, pages 57-61.
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Korbinian Moeller, Elise Klein, Martin H Fischer, Hans-Christoph Nuerk & Klaus Willmes. (2011) Representation of Multiplication Facts-Evidence for partial verbal coding. Behavioral and Brain Functions 7:1.
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Giovanni Galfano, Barbara Penolazzi, Francesca Fardo, Elisah Dhooge, Alessandro Angrilli & Carlo Umiltà. (2011) Neurophysiological markers of retrieval‐induced forgetting in multiplication fact retrieval. Psychophysiology 48:12, pages 1681-1691.
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Xinlin Zhou. (2011) Operation-specific encoding in single-digit arithmetic. Brain and Cognition 76:3, pages 400-406.
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Jamie I. D. Campbell, Roxanne R. Dowd, Jillian M. Frick, Kendra N. McCallum & Arron W. S. Metcalfe. (2011) Neighborhood consistency and memory for number facts. Memory & Cognition 39:5, pages 884-893.
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Javier García-Orza & Jesús Damas. (2011) Sequential Processing of Two-Digit Numbers. Zeitschrift für Psychologie 219:1, pages 23-29.
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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.
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Korbinian Moeller, Guilherme Wood, Michael Doppelmayr & Hans-Christoph Nuerk. (2010) Oscillatory EEG correlates of an implicit activation of multiplication facts in the number bisection task. Brain Research 1320, pages 85-94.
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Wim Gevers, Ineke Imbo, Roi Cohen Kadosh, Wim Fias & Robert J. Hartsuiker. (2010) Bidirectionality in Synesthesia. Experimental Psychology 57:3, pages 178-184.
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Giovanni Galfano, Barbara Penolazzi, Ineke Vervaeck, Alessandro Angrilli & Carlo Umiltà. (2009) Event-related brain potentials uncover activation dynamics in the lexicon of multiplication facts. Cortex 45:10, pages 1167-1177.
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David Luna & Hyeong‐Min (Christian) Kim. (2009) How much was your shopping basket? Working memory processes in total basket price estimation. Journal of Consumer Psychology 19:3, pages 346-355.
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K. Moeller, M.H. Fischer, H.-C. Nuerk & K. Willmes. (2009) Eye fixation behaviour in the number bisection task: Evidence for temporal specificity. Acta Psychologica 131:3, pages 209-220.
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Marco Fabbri, Vincenzo Natale & Ana Adan. (2008) Effect of time of day on arithmetic fact retrieval in a number-matching task. Acta Psychologica 127:2, pages 485-490.
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Ineke Imbo & André Vandierendonck. (2007) Do multiplication and division strategies rely on executive and phonological working memory resources?. Memory & Cognition 35:7, pages 1759-1771.
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L. Zamarian, E. Stadelmann, H.-C. Nürk, N. Gamboz, J. Marksteiner & M. Delazer. (2007) Effects of age and mild cognitive impairment on direct and indirect access to arithmetic knowledge. Neuropsychologia 45:7, pages 1511-1521.
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Elena Rusconi, Giovanni Galfano & Remo Job. 2007. Cognitive Aspects of Bilingualism. Cognitive Aspects of Bilingualism 153 174 .
Anja Ischebeck, Laura Zamarian, Christian Siedentopf, Florian Koppelst?tter, Thomas Benke, Stefan Felber & Margarete Delazer. (2006) How specifically do we learn? Imaging the learning of multiplication and subtraction. NeuroImage 30:4, pages 1365-1375.
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Maud Deschuyteneer, André Vandierendonck & Isabel Muyllaert. (2006) Does Solution of Mental Arithmetic Problems Such as 2 + 6 and 3 × 8 Rely on the Process of “Memory Updating”?. Experimental Psychology 53:3, pages 198-208.
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L. Zamarian, E. Karner, T. Benke, E. Donnemiller & M. Delazer. (2006) Knowing 7×8, but not the meaning of ‘elephant’: Evidence for the dissociation between numerical and non-numerical semantic knowledge. Neuropsychologia 44:10, pages 1708-1723.
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Elena Rusconi, Giovanni Galfano, Elena Rebonato & Carlo Umiltà. (2004) Bidirectional links in the network of multiplication facts. Psychological Research Psychologische Forschung 70:1, pages 32-42.
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Maud Deschuyteneer & André Vandierendonck. (2005) The role of response selection and input monitoring in solving simple arithmetical products. Memory & Cognition 33:8, pages 1472-1483.
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Natalie Jackson & Jeffrey Coney. (2005) Simple arithmetic processing: The question of automaticity. Acta Psychologica 119:1, pages 41-66.
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Tom Verguts & Wim Fias. (2005) Interacting neighbors: A connectionist model of retrieval in single-digit multiplication. Memory & Cognition 33:1, pages 1-16.
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Stefaan Vandorpe, Stijn De Rammelaere & André Vandierendonck. (2005) The Odd-Even Effect in Addition. Experimental Psychology 52:1, pages 47-54.
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Giovanni Galfano, Veronica Mazza, Alessandro Angrilli & Carlo Umiltà. (2004) Electrophysiological correlates of stimulus-driven multiplication facts retrieval. Neuropsychologia 42:10, pages 1370-1382.
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