André Knops

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My research in the realm of Psychology and Cognitive Neuroscience is dedicated to the understanding of the cognitive and neural underpinnings of numerical cognition. I combine classical psychophysical methods with the analysis of concurrent neurocognitive data from healthy participants across the life-span.

Curriculum Vitae

André Knops on google.scholar

born in Viersen, Germany

Higher Education

Year    Institution         Degree (grade)

11/Feb/2015  Humboldt-Universität Berlin, Berlin, Germany, Habilitation Psychology (venia legendi)

16/Oct/2006  RWTH Aachen University, Aachen, Germany, PhD  (summa cum laude) [thesis]

08/Oct/2001  Philipps University, Marburg, Germany, Psychology Diploma (A) [diploma thesis]

Professional Experience

Year    Institution/Location       [Function]

since 2018 Associate Research Professor CNRS (tenured), UMR 8240/LaPsyDÉ, Université de Paris, France

2016 – 2017    Stand-in Professor for Experimental Psychology, Department of Psychology, Humboldt-Universität zu Berlin, Germany

2012 – 2017    Department of Psychology, Humboldt-Universität zu Berlin, Germany [group leader]

2010 – 2012   Department of Neurology, Section Neuropsychology, RWTH Aachen University, Germany [Post-Doc]

2009 – 2010   CIMeC (Center for Mind/Brain Sciences), Rovereto, Italy [Post-Doc]

2006 – 2009   INSERM Unit 562, “NeuroSpin“ Center, Saclay, France [Post-Doc]

2005 – 2006  Institute of Medical Psychology and Medical Sociology, RWTH Aachen University, Germany [Research Associate]

2002 – 2006   Department of Neurology, Section Neuropsychology, RWTH Aachen University, Germany   [ Research Associate]


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.

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

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, 1-11.

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

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.

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

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.

Didino, D., Pinheiro-Chagas, P., Wood, G. & Knops, A. (2019) Response: Commentary: The Developmental Trajectory of the Operational Momentum Effect. Front. Psychol. 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,  Front. Psychol. 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, Elsevier, 211-232.

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

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(3):1434-48.

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. & 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.

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.

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

Hesselmann, G. & Knops, A. (2014). No conclusive evidence for numerical priming under interocular suppression. Psychological Science. 25(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.

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, 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.

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. [1.55]

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. [6.256 (2009)]

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.  [29.747]

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.  [1.684]

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. [2.547]

Huckauf, A., Knops, A., Nuerk, H.-C., & Willmes, K. (2008). Semantic processing of crowded stimuli? Psychology Research, 72(6): 648 – 656. [1.754]

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]

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.  [3.924]

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. [5.559]


2018 – 2022. How Domain-general Functions Contribute to the Development of Numerical Competencies (Agence National de la Recherche, ANR; DFCDNC) [925,157 €]

2018 – 2020    On the structure of arithmetic facts in memory and its interaction with numerical magnitude representation (main applicant: Daniele Didino)    [150,000 €]

2015 Symposium ‚Contributions of dorsal stream to visual perception‘ (DFG; with Guido Hesselmann) [10,000 €]

2012 – 2016    Der Einfluss des Zahlensinns und räumlicher Informationsverarbeitung auf das Kopfrechnen DFG (German Research Foundation) KN 959/2-1 [Emmy Noether Young Researcher Group – 840,000 €]

2009 – 2011   Attentional shifts in mental arithmetic – their nature and relevance.  Autonomous Region Trentino (Marie Curie Action Cofund) [131,000 € – declined]

2009 – 2010   Neural Dynamics of mental arithmetic – An fMRI guided TMS-Study. DFG (German Research Foundation) KN 959/1-1 with K. Willmes    [100,000 €]

2006 – 2007   Emotional Control of Cognition – On the Influence of Mood on Executive Functions in Patients with Biploar Mood Disorder. Young Scientists Program of the Medical Faculty Aachen; AZ 34/06  [36,500 €]


2006    Best interdisciplinary thesis of the Medical Faculty RWTH Aachen University

2006    Borchers-Medal, RWTH Aachen University for outstanding thesis.

Ad-hoc reviews

Journals (33):

Acta Psychologica; Advances in Cognitive Psychology; Attention, Perception & Psychophysics; Autism Research; Behavioral and Brain Functions; Brain Research; Cerebral Cortex; Cognition; Cortex; European Journal of Developmental Psychology; Experimental Psychology; Frontiers in Psychology; Human Brain Mapping; Journal of Cognitive Neuroscience; Journal of Experimental Child Psychology; Journal of Cognitive Psychology; Journal of Experimental Psychology: Learning, Memory & Cognition; Journal of Neuroscience; Journal of Vision; Language and Cognitive Processes; Nature Human Behaviour; Neuroimage; Neuropsychologia; Neuroreport; Perception; PLoS One; Proceedings of the National Academy of Sciences (PNAS); Psychological Research; Psychological Science; Psychonomic Bulletin & Review; Social Cognitive and Affective Neuroscience; Quarterly Journal of Experimental Psychology; Scientific Reports

Organizations (7):

- Bologna.lab (Humboldt-Universität zu Berlin)

- Deutsche Forschungsgemeinschaft (DFG)

- European Research Council (ERC)

- Fondation Maison des Sciences de l’Homme (FMSH; Marie Curie Cofund)

- Fonds Wetenschappelijk Onderzoek – Vlaanderen (Research Foundation Flanders (FWO))

- German-Israeli Foundation for Scientific Research and Development (G.I.F.)

- Italian Ministry of Health


- German (mother tongue)

- English (fluent)

- French (fluent)

- Italian (basic)


- Mathematical Cognition & Learning Society (MCLS)

- Deutsche Gesellschaft für Psychologie (DGPs), Divisions: Experimental Psychology; Biological Psychology & Neuropsychology

- Oranization for Human Brain Mapping (OHBM)

- Deutscher Hochschulverband

Kram in Deutsch