The development of a descriptive, empirically informed, philosophy of mathematics, with a focus on mathematicians as fallible knowledge workers. This includes research on mathematical and scientific cultures, cultures of proof, virtues in mathematics, diagrammatic reasoning, ethnomathematics, mathematics education; mathematical, statistical and data literacy, etc.
The history and philosophy of early modern science with a focus on scientific methodology. Current research centres on inter alia Isaac Newton's scientific methodology, including its reception and development, on the appropriation of Newton's natural philosophy in the Dutch Republic, on ‘the’ ‘Scientific Revolution’, on the mathematisation in physics, on the origins and evolution of empiricism, and on the philosophy of induction (Bacon, Reid, Whewell, Mill, etc.).
Rittberg, CJ & Van Kerkhove, B 2019, 'Studying mathematical practices: the dilemma of case studies' ZDM: the International Journal on Mathematics Education, 51, 5, pp. 857-868. https://doi.org/10.1007/s11858-019-01038-8
Lefever, K & Székely, G 2018, 'On Generalization of Definitional Equivalence to Non-Disjoint Languages' Journal of Philosophical Logic. https://doi.org/10.1007/s10992-018-9491-0
De Kock, L 2018, 'Historicizing Hermann von Helmholtz’s Psychology of Differentiation' Journal for the History of Analytical Philosophy, vol. 6, no. 2, pp. 40-62.
Larvor, BP & Francois, K 2018, The concept of culture in Critical Mathematics Education. in P Ernest (ed.), The Philosophy of Mathematics Education Today ., 5, Springer, Switserland Cham, pp. 163-176.
Van Bendegem, JP 2018, The who and what of the philosophy of mathematical practices. in P Ernest (ed.), The Philosophy of Mathematics Education Today. Springer, New York, pp. 29-59.
Ducheyne, S & Van Besouw, J 2017, Newton and the Dutch “Newtonians”: 1713–1750. in E Schliesser & C Smeenk (eds), The Oxford Handbook of Newton. Oxford University Press, Oxford, pp. published online. https://doi.org/10.1093/oxfordhb/9780199930418.013.2