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André Knops


Associate research professor


André is a CNRS researcher (CR1) at the University Paris Descartes since 2018. His work is situated at the interface between Experimental Psychology, Cognitive Neuroscience and Developmental Psychology. After graduating in psychology at the University of Marburg (Germany) in 2001, he received his PhD at the RWTH University Aachen in 2006. André has been a post-doctoral researcher in the laboratory of Stanislas Dehaene (Neurospon, Saclay) between 2006 and 2009, and in the laboratory of David Melcher at the University of Trento (Italy) from 2009 to 2010 before joining Klaus Willmes’ laboratory in Aachen (Germany) as research associate between 2010 and 2012. Receiving funding from the Emmy Noether programme of the German Research Foundation allowed André to build and lead his own laboratory at the Humboldt University in Berlin (Germany) from 2012 to 2017. Before joining Paris Descartes University, he was a stand-in professor for Experimental Psychology at the Humboldt University from 2016 to 2017. His research is dedicated to the understanding of the cognitive and neural underpinnings of numerical cognition. He combines classical psychophysical methods with the analysis of structural and functional neuroimaging data from healthy participants across the life-span.


Prado, J., & Knops, A. (2024). Spatial attention in mental arithmetic: A literature review and meta-analysis. Psychonomic Bulletin & Review.


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


Hesselmann, G., & Knops, A. (2023). No conclusive evidence for number-induced attentional shifts in a temporal order judgement task. Quarterly Journal of Experimental Psychology, 174702182311524.


Coolen, I. E. J. 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, pp. 1–21.


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.


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.


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

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.


Knops, A. (2020). Numerical Cognition. Abingdon, Oxon; New York, NY: Routledge.

Rączy, K., Czarnecka, M., Zaremba, D., Izdebska, K., 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, 102960.


Pinho, A. S., Amadon, A., Gauthier, B., Clairis, N., Knops, A., Genon, S., Dohmatob, E., Torre, J. C., Ginisty, C., Becuwe-Desmidt, S., Roger, S., Lecomte, Y., Berland, V., Laurier, L., Joly-Testault, V., Médiouni-Cloarec, G., Doublé, C., Martins, B., Salmon, E., . . . Thirion, B. (2020). Individual Brain Charting dataset extension, second release of high-resolution fMRI data for cognitive mapping. Scientific Data, 7, 353.


Cavdaroglu, S., & Knops, A. (2019). Evidence for a posterior parietal cortex contribution to spatial but not temporal numerosity perception, Cerebral Cortex, 29(7), 2965–2977,


Didino, D., Breil, C., & Knops, A. (2019). The influence of semantic processing and response latency on the SNARC effect. Acta Psychologica, 196, 75–86.


Didino, D., Pinheiro-Chagas, P., Wood, G., & Knops, A. (2019). Response: Commentary: The Developmental Trajectory of the Operational Momentum Effect. Frontiers in Psychology, 10.


Knops, A. (2019). Understanding mathematical thinking–the key for improving mathematical performance and a test case for exploring the human mind. The Quarterly Journal of Experimental Psychology, 73(4).


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

Pinheiro-Chagas, P.*, Didino, D.*, Haase, V. G., Wood, G., & Knops, A. (2018). The Developmental Trajectory of the Operational Momentum Effect. Frontiers in Psychology, 9, 1062.

Knops, A. (2018). Neurocognitive evidence for spatial contributions to numerical cognition. In: Henik, A. Fias, W. (Eds.): Heterogeneity of Function in Numerical Cognition, Academic Press.

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

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., 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. Knops, A. (2016). Decreased cerebellar-cerebral connectivity contributes to complex task performance. Journal of Neurophysiology, 116(3), 1434-48.

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), 608-24.

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 and Function, 221(2), 979-95.

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.

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.

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

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

Hesselmann, G. Knops, A. (2014). No conclusive evidence for numerical priming under interocular suppression. Psychological Science. 25(11), 2116-2119. doi:10.1177/0956797614548876

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

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.

Pinheiro-Chagas, 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

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., Zitzmann, S. McCrink, K. (2013). Examining the presence and determinants of operational momentum in childhood. Frontiers in Psychology, 4, 325.

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. 

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. 

Klein, E., Nuerk, H.-C., Wood, G., Knops, A., Willmes, K. (2009). The exact vs. approximate distinction in numerical cognition may not be exact, but only approximate - How different processes work together in multi-digit addition. Brain and Cognition, 2, 369-381.

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.  

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. 

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. [2.749]

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

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

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.  

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