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2024 & in press

Prado, J. & Knops, A. (in press). Spatial attention in mental arithmetic – a literature review and meta-analysis. Psychonomic Bulletin & Review. read_online

Aite, A., Alterelli, I., Borst, G. & Knops, A. (in press). The learning brain: a new perspective for education. In: O’Donnell, A. (ed.). The Oxford Handbook of Educational Psychology,  Oxford University Press, Oxford, UK.


Coolen, I., Omont-Lescieux, S., & Knops, A. (2023). Now you see it, now you don’t – Cognitive skills and their contributions to mathematics across early development. Journal of Cognition, 6(1): 43, 1-21.

Didino, D., Brandtner, M., Glaser, M., & Knops, A. (2023). Probing the dual-route model of the SNARC effect by orthogonalising processing speed and depth. Experimental Psychology, 70, 1-13.

Czarnecka, M., Rączy, K., Szewczyk, J., Paplińska, M., Jednoróg, K., Marchewka, A., Hesselmann, G., Knops*, A., Szwed*, M. (2023) Overlapping but separate number representations in the intraparietal sulcus – probing format- and modality-independence in sighted Braille readers, Cortex, 162, 65-80.

Klein, E. & Knops, A. (2023). The two-network framework of number processing – a step towards a better understanding of the neural origins of developmental dyscalculia, Journal of Neural Transmission, 130(3), 253-268.

Hesselmann, G. & Knops, A. (2023). No conclusive evidence for number-induced attentional shifts in a temporal order judgment task. Quarterly Journal of Experimental Psychology, 17470218231152406.

Glaser, M & Knops, A. (2023). Spatial Biases in Approximate Arithmetic Are Subject to Sequential Dependency Effects and Dissociate From Attentional Biases. Journal of Numerical Cognition, 9(1), 44-64.


Didino, D., Brandtner, M., Knops, A. (2022). No Influence of Masked Priming on the Multiplication Fact Retrieval in a Result Verification Task. Journal of Numerical Cognition, 8(1), 202–225.


Rączy, K., Czarnecka, M., Zaremba, D., Paplińska, M., Hesselmann, G., Knops, A. & Szwed, M. (2020). A shared code for Braille and Arabic digits revealed by cross-modal priming in sighted Braille readers. Acta Psychologica, 202.

Pinho, A.L., Amadon, A., Gauthier, B., Clairis, N., Knops, A. et al. (2020). Individual Brain Charting dataset extension, second release of high-resolution fMRI data for cognitive mapping. Scientific Data 7, 353

Rączy, K., Czarnecka, M., Paplińska, M., Hesselmann, G., Knops, A. & Szwed, M. (2020). Tactile to visual number priming in the left Intraparietal Cortex of sighted Braille readers. Scientific Reports, 10:17571.

Glaser, M. & Knops, A. (2020). When adding is right – temporal order judgments reveal spatial attention shifts during two-digit mental arithmetic. The Quarterly Journal of Experimental Psychology.  73(7), 1115–1132.

Knops, A. (2020). Numerical Cognition – The Basics. Routledge, Abingdon, Oxon; New York, NY: Routledge [for sale here].

Knops, A. (2020). Bien débuter en CE1 – Compréhension des nombres. Paris, Éditions Nathan [commander ici].


Knops. A. (2019). Author accepted manuscript: Understanding mathematical thinking–the key for improving mathematical performance and a test case for exploring the human mind, The Quarterly Journal of Experimental Psychology,

Didino, D., Breil, C. & Knops, A. (2019). The influence of semantic processing and response latency on the SNARC effect. Acta Psychologica, 196:75-86. doi: 10.1016/j.actpsy.2019.04.008.

Didino, D., Pinheiro-Chagas, P., Wood, G., & Knops, A. (2019). Response: Commentary: The Developmental Trajectory of the Operational Momentum Effect. Frontiers in Psychology 6;10:160. doi: 10.3389/fpsyg.2019.00160.


Knops, A. (2018). Neuroimaging. In: Zeigler-Hill, V. & Shackelford, T. (eds). Encyclopedia of Personality and Individual Differences. Springer.

Cavdaroglu, S. & Knops, A. (2018). Evidence for a posterior parietal cortex contribution to spatial but not temporal numerosity perception, Cerebral Cortex, 29(7), 2965–2977,

Pinheiro-Chagas, P., Didino, D. Haase, V. G., Wood, G. & Knops, A. (2018). The developmental trajectory of the operational momentum effect, Frontiers in Psychology – Developmental Psychology, 9:1062. doi: 10.3389/fpsyg.2018.01062.

Knops, A. (2018). Neurocognitive Evidence for Spatial Contributions to Numerical Cognition. In: Henik, A. & Fias, W. (eds). Heterogeneity of Function in numerical Cognition, 211-232, Elsevier.


Knops, A., Nuerk, H.-C., & Göbel, S.M. (2017). Domain-General Factors Influencing Numerical and Arithmetic Processing. Journal of Numerical Cognition, 3(2), 112 – 132.

Katz, C. Hoesterey, H. & Knops, A. (2017). A role for attentional reorienting during approximate multiplication and division. Journal of Numerical Cognition, 3(2), 246 – 269.

Knops, A. (2017). Probing the neural correlates of number processing. The Neuroscientist, 23 (3), 264-274.


Katz, C. & Knops, A. (2016). Decreased cerebellar-cerebral connectivity contributes to complex task performance. Journal of Neurophysiology, 116, 1434–1448.

Cavdaroglu, S. & Knops, A. (2016). Mental subtraction and multiplication recruit both phonological and visuospatial resources: evidence from a symmetric dual-task design. Psychological Research, 80(4): 608-624

Klein, E., Suchan, J., Moeller, K., Karnath, H.-O., Knops, A., Wood, G., Nuerk, H.-C., & Willmes, K. (2016). Considering structural connectivity in the triple code model of numerical cognition – Differential connectivity for magnitude processing and arithmetic facts. Brain, Structure & Function, 221(2): 979-95.


Cavdaroglu, S., Katz, C. & Knops, A. (2015). Dissociating estimation from comparison and response eliminates parietal involvement in sequential numerosity perception, Neuroimage, 116: 135-148.

Didino, D., Knops, A., Vespignani, F., & Kornpetpanee, S. (2015). Asymmetric activation spreading in the multiplication associative network due to asymmetric overlap between numerosities semantic representations? Cognition, 141, 1-8. [download pdf]

Hesselmann, G., Darcy, N., Sterzer, P. & Knops, A. (2015). Exploring the boundary conditions of unconscious numerical priming effects with continuous flash suppression. Consciousness and Cognition, 31, 60 – 72.


Fischer, M.H. & Knops, A. (2014). Attentional Cueing in Numerical Cognition – A Commentary on Zanolie & Pecher (2014). Frontiers in Psychology, 5:1381. doi: 10.3389/fpsyg.2014.01381. [download pdf]

Pinheiro-Chargas, P., Wood, G., Knops, A., Krinzinger, H., Lonnemann, J., Startling-Alves, I., Willmes, K., & Haase, V. (2014). In how many ways is the approximate number system associated with exact calculation? PLoS One. 9(11): e111155. doi:10.1371/journal.pone.0111155 [download pdf]

Hesselmann, G. & Knops, A. (2014). No conclusive evidence for numerical priming under interocular suppression. Psychological Science25(11):2116-2119. doi:10.1177/0956797614548876

Katz, C. & Knops, A. (2014). Operational momentum in approximate multiplication and division? PLoS One; 9(8):e104777. doi: 10.1371/journal.pone.0104777. [download pdf]

Knops, A., Piazza, M., Sengupta, R., Eger, E., & Melcher, D. (2014). A shared, flexible neural map architecture reflects capacity limits in both visual short term memory and enumeration. The Journal of Neuroscience, 34(30); 9857-9866.

Knops, A. , Dehaene, S., Bertelletti, I., Zorzi, M. (2014). Can Approximate Mental Calculation Account for Operational Momentum in Addition and Subtraction? The Quarterly Journal of Experimental Psychology, 67(8): 1541-1556. [Knops et al 2014 SupplementaryMaterial]

Knops, A. & Willmes, K. (2014). Numerical ordering and symbolic arithmetic share frontal and parietal circuits in the right hemisphere, Neuroimage , 84, 786-795.


Knops, A., Zitzmann, S. & McCrink, K. (2013). Examining the presence and determinants of operational momentum in childhood. Frontiers in Psychology, 4:325. [download pdf]


Koten Jr J.W., Lonnemann, J., Willmes, K.,  Knops, A. (2011). Micro and macro pattern analyses of FMRI data support both early and late interaction of numerical and spatial information. Frontiers in Human Neuroscience, 5:115. [download pdf]

Boecker, M., Drueke, B., Vorhold, V., Knops, A., Philippen, B., Gauggel, S. (2011). When response inhibition is followed by response reengagement: An event-related fMRI study.Human Brain Mapping, 32(1): 94 -106.


Knops, A., Thirion, B., Hubbard, E.M., Michel, V. & Dehaene, S. (2009). Recruitment of an area involved in eye movements during mental arithmetic. Science, 324(5934):1583-5. [download pdf]

Knops, A., Viarouge A., & Dehaene, S. (2009). Dynamic representations underlying symbolic and non-symbolic calculation: Evidence from the operational momentum effect. Attention, Perception & Psychophysics, 71(4), 803-821.

Klein, E., Nuerk, H.-C., Wood, G., Knops, A. & Willmes, K. (2009). The exact vs. approximate distinction in numerical cognition is not exact, but only approximate: How different processes work together in multi-digit addition, Brain and Cognition, 69, 369 – 381.


Huckauf, A., Knops, A., Nuerk, H.-C., & Willmes, K. (2008). Semantic processing of crowded stimuli? Psychological Research, 72(6): 648 – 656.

Lonnemann, J., Krinzinger, H., Knops, A., & Willmes, K. (2008). Spatial representations of numbers in children and their connection with calculation abilities. Cortex, 44(4), 420-428.


Gauggel, S., Knops, A., & Staedtgen, M. (2007). Transkranielle Magnetstimulation (TMS). In S. Gauggel & M. Herrmann (Eds.) Handbuch der Neuro- und Biopsychologie (pp. 220 – 228), Göttingen, Hogrefe Publishers. [German]


Knops A., Nuerk H.-C., Sparing R., Foltys H., Willmes K. (2006). On the functional role of the parietal cortex in number processing: How gender mediates the impact of a ‘virtual lesion’ induced by rTMS. Neuropsychologia, 44(12), 2270 – 2283.

Knops A., Nuerk H.-C., Fimm B., Vohn R., Willmes K. (2006). A Special Role for Numbers in Working Memory? – An fMRI Study. Neuroimage, 29, 1 – 14.