André Knops

Home » André Knops

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)

2022 University Paris Cité, Paris, France, Habilitation à Diriger de Recherche (HDR)

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]

Publications – in peer-reviewed journals

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

  2. 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.

  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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. 
  8. 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.
  9. 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
  10. 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.
  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.
  12. 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.
  13. Didino, D., Breil, C. & Knops, A. (2019). The influence of semantic processing and response latency on the SNARC effect. Acta Psychologica, 196: 75-86.
  14. Didino, D., Pinheiro-Chagas, P., Wood, G. & Knops, A. (2019) Response: Commentary: The Developmental Trajectory of the Operational Momentum Effect. Frontiers in Psychol. 10:160. doi: 10.3389/fpsyg.2019.00160
  15. 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,
  16. Pinheiro-Chagas, P., Didino, D. Haase, V. G., Wood, G. & Knops, A. (2018). The developmental trajectory of the operational momentum effect, Frontiers in Psychol. 9:1062. doi: 10.3389/fpsyg.2018.01062
  17. 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.
  18. 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.
  19. Knops, A. (2017). Probing the neural correlates of number processing. The Neuroscientist, 23(3), 264 – 274.
  20. Katz, C. & Knops, A. (2016). Decreased cerebellar-cerebral connectivity contributes to complex task performance. Journal of Neurophysiology, 116, 1434–1448.
  21. 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.
  22. 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.
  23. Cavdaroglu, S., Katz, C. & Knops, A. (2015). Dissociating estimation from comparison and response eliminates parietal involvement in sequential numerosity perception, Neuroimage, 116: 135-148.
  24. 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.
  25. 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.
  26. Fischer, M.H. & Knops, A. (2014). Attentional Cueing in Numerical Cognition – A Commentary on Zanolie & Pecher (2014). Frontiers in Psychology, 5:1381.
  27. 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):
  28. Hesselmann, G. & Knops, A. (2014). No conclusive evidence for numerical priming under interocular suppression. Psychological Science. 25(11):2116-2119. doi:10.1177/0956797614548876
  29. Katz, C. & Knops, A. (2014). Operational momentum in approximate multiplication and division? PLoS One; 9(8):e104777. doi: 10.1371/journal.pone.0104777.
  30. 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.
  31. 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.
  32. Knops, A. & Willmes, K. (2014). Numerical ordering and symbolic arithmetic share frontal and parietal circuits in the right hemisphere, Neuroimage, 84: 786-795.
  33. Knops, A., Zitzmann, S. & McCrink, K. (2013). Examining the presence and determinants of operational momentum in childhood. Frontiers in Psychology, 4:325.
  34. 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.
  35. 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.
  36. Knops, A., Thirion, B., Hubbard, E.M., Michel, V. & Dehaene, S. (2009). Recruitment of an area involved in eye movements during mental arithmeti Science, 324(5934):1583-5.
  37. 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. 
  38. 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.
  39. Huckauf, A., Knops, A., Nuerk, H.-C., & Willmes, K. (2008). Semantic processing of crowded stimuli? Psychological Research, 72(6): 648 – 656.
  40. 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.
  41. 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. 
  42. 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.

Publications – other

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


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

Knops, A. (2019). Numerical Cognition – The Basics. Routledge.

Book chapters

  1. 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.
  2. Knops, A. (in press). Neuroimaging. In: Zeigler-Hill, V. & Shackelford, T. (eds). Encyclopedia of Personality and Individual Differences. Springer.
  3. 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.
  4. Gauggel, S., Knops, A., & Staedtgen, M. (2007). Transkranielle Magnetstimulation (TMS). In S. Gauggel & M. Herrmann (Eds.), Handbuch der Neuro- und Biopsychologie (S. 220 – 228), Göttingen, Hogrefe Publishers.


2023 – 2026

Boundary conditions of conceptual spaces (BounCes; ANR-22-ORAR-0002; ANR, DFG & ESRC) total budget: ~1,000,000 €

384,000 €

2022 – 2025

On the Cognitive principles underlying operational biases in the temporal domain (Coprobted; ANR-22-CE28-0011)

134,000 €


Workshop ,CoDys – a joint initiative for investigating dyslexia and dyscalculia’ (GIS Autism & neurodevelopmental disorders)

20,000 €

2018 – 2022

How Domain-general Functions Contribute to the Development of Numerical Competencies (DFCDNC; ANR-18-CE28-0003-01)

433,000 €

2018 – 2020

On the structure of arithmetic facts in memory and its interaction with numerical magnitude representation (main applicant: Daniele Didino)

150,000 €


Symposium ‚Contributions of dorsal stream to visual perception‘.
DFG (German Research Foundation) HE 6244/3-1 with Guido Hesselmann

10,000 €

2012 – 2016

The impact of the number sense and spatial processing on mental arithmetic.
DFG KN 959/2-1 [Emmy Noether Group]

840,000 €

2009 – 2010

Neural Dynamics of mental arithmetic – An fMRI guided TMS-Study.
DFG KN 959/1-1

113,000 €


Attentional shifts in mental arithmetic – nature and relevance.  Autonomous Region Trentino (ERC Marie Curie Action Cofund) – declined

131,000 €

2006 – 2007

Emotional Control of Cognition – On the Influence of Mood on Executive Functions in Patients with Biploar Mood Disorder.
Nachwuchsprogram der Medizinischen Fakultät der RWTH 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 (36):

Acta Psychologica; Advances in Cognitive Psychology; Attention, Perception & Psychophysics; Autism Research; Behavioral and Brain Functions; Brain Research; Brain, Structure & Function; Cell Reports; Cerebral Cortex; Cognition; Cortex; Current Biology; Developmental Psychology; 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; PNAS; Psychological Research; Psychological Science; Psychonomic Bulletin & Review; Scientific Reports; Social Cognitive and Affective Neuroscience; Quarterly Journal of Experimental Psychology

Organizations (9:

Bologna.lab (Humboldt-Universität zu Berlin)

German Research Council (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

National Science Foundation (NSF)

Psychologie & Gehirn (26 – 28/05/2016, Berlin)


– 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

– Deutscher Hochschulverband

Kram in Deutsch