Publications
Philosophical Aspects Of Symbolic Reasoning In Early Modern Mathematics. College Publications.
. 2010. 26 Studies in Logic “An Introduction To Wasan, Native Japanese Mathematics”. History and Pedagogy of Mathematics 68: 20–24. http://dx.doi.org/1854/11413.
. 2008. “Kepler's Near Discovery Of The Sine Law: A Qualitative Computational Model.” . Computer modeling of scientific reasoning: 93–102.
. 2003. “The Rule Of Quantity By Chuquet And De La Roche And Its Influence On German Cossic Algebra” . Pluralité de l'algèbre à la Renaissance: 127–147.
. 2012. “Hypocrisie Binnen De Wiskunde?”. Wiskunde & onderwijs 148: 306–315.
. 2011. “Mathematics Education Through Lesson Study In The Asia-Pacific Region”. History and Pedagogy of Mathematics Newsletter 66: 4–6.
. 2007. “Abduction As A Strategy For Concept Formation In Mathematics: Cardano Postulating A Negative.” . Abduction and the process of scientific discovery: 179–194.
. 2007. “Dutch Algebra And Arithmetic In Japan Before The Meiji Restoration” . Navigating across Mathematical Cultures and Times: Exploring the Diversity of Discoveries and Proofs.
. In Press. “A Conceptual Analysis Of Early Arabic Algebra” . The unity of science in the arabic tradition : science, logic, epistemology and their interactions: 89–128. http://dx.doi.org/1854/11276.
. 2008. “The Logic Of Disguise: Descartes' Discovery Of The Sine Law”. Historia scientiarum. International Journal of the History of Science Society of Japan 16: 144–165.
. 2006. “The Body In Renaissance Arithmetic: From Mnemonics To Embodied Cognition”. In Proceedings of the Thirty Sixth Annual Convention of the Society for the Study of Artificial Intelligence and Simulation, Proceedings of the Thirty Sixth Annual Convention of the Society for the Study of Artificial Intelligence and Simulation, . The Society for the Study of Artificial Intelligence and the Simulation of Behaviour.
. 2010. “Historical Objections Against The Number Line”. Science and Education 20: 863–880.
. 2011. “Father Henri Bosmans (S.j.) A Belgian Pioneer In The History Of Mathematics”. History and Pedagogy of Mathematics Newsletter 65: 12–15.
. 2007. “On The Curious Historical Coincidence Of Algebra And Double-Entry Bookkeeping” . Foundations of the formal sciences VII : bringing together philosophy and sociology of science 32: 109–130. http://www.collegepublications.co.uk/logic/?00021.
. 2011. “The Reception Of Ancient Indian Mathematics By Western Historians” . Ancient Indian Leaps into Mathematics: 135–152.
. 2010. “Regiomontanus And Chinese Mathematics” . PHILOSOPHICA 82: 87–114.
. 2008. “The Abbaco Tradition (1300-1500): Its Role In The Development Of European Algebra”. Suuri Kaiseki Kenkyuujo koukyuuroku 1625: 23–33.
. 2009. “The Origin Of The Problems In Euler's Algebra”. Bulletin of the Belgian Mathematical Society - Simon Stevin 13: 949–952.
. 2006. “The Symbolic Model For Algebra: Functions And Mechanisms” . Model-Based Reasoning in Science and Technology 314: 519–532. http://dx.doi.org/10.1007/978-3-642-15223-8\_29.
. 2010. “Epistemic Justification And Operational Symbolism”. Foundations of science 19: 89–113.
. 2014. “Text Production, Reproduction And Appropriation Within The Abbaco Tradition: A Case Study”. SCIAMVS 9: 101-145.
. 2008. “Learning Concepts Through The History Of Mathematics: The Case Of Symbolic Algebra.” . Philosophical dimensions in mathematics education: 83–103.
. 2007.