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.
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Curriculum Vitae
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
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Prado, J. & Knops, A. (in press). Spatial attention in mental arithmetic – a literature review and meta-analysis. Psychonomic Bulletin & Review. https://doi.org/10.3758/s13423-024-02499-z read_online
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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. https://doi.org/10.5334/joc.309
- 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. https://doi.org/10.1027/1618-3169/a000577
- 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. https://doi.org/10.1016/j.cortex.2023.01.011
- 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. https://doi.org/10.1007/s00702-022-02580-8
- 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. https://doi.org/10.1177/17470218231152406
- 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. https://doi.org/10.5964/jnc.8373
- 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.
- 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.
- 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 Psychol. 10:160. doi: 10.3389/fpsyg.2019.00160
- 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, https://doi.org/10.1093/cercor/bhy163
- 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
- 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.
- 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.
- 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):
- 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.
- 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 arithmeti 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.
- 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.
- 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.
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, https://doi.org/10.1177/1747021819882893
Books
Knops, A. (2020). Bien débuter en CE1 – Compréhension des nombres. Paris, Éditions Nathan.
Knops, A. (2019). Numerical Cognition – The Basics. Routledge.
Book chapters
- 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. (in press). Neuroimaging. In: Zeigler-Hill, V. & Shackelford, T. (eds). Encyclopedia of Personality and Individual Differences. Springer.
- 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.
- 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.
Grants
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 € |
2021 |
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 € |
2015 |
Symposium ‚Contributions of dorsal stream to visual perception‘. |
10,000 € |
2012 – 2016 |
The impact of the number sense and spatial processing on mental arithmetic. |
840,000 € |
2009 – 2010 |
Neural Dynamics of mental arithmetic – An fMRI guided TMS-Study. |
113,000 € |
2010 |
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. |
36,500 € |
Awards
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)
Languages
– German (mother tongue)
– English (fluent)
– French (fluent)
– Italian (basic)
Memberships
– Mathematical Cognition & Learning Society (MCLS)
– Deutsche Gesellschaft für Psychologie (DGPs), Divisions: Experimental Psychology; Biological Psychology & Neuropsychology
– Deutscher Hochschulverband