Publications
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“The Abbaco Tradition (1300-1500): Its Role In The Development Of European Algebra”. Suuri Kaiseki Kenkyuujo koukyuuroku 1625: 23–33.
. 2009. “Abduction As A Strategy For Concept Formation In Mathematics: Cardano Postulating A Negative.” . Abduction and the process of scientific discovery: 179–194.
. 2007. “Algebraic Partitioning Problems From Luca Pacioli's Perugia Manuscript (Vat. Lat. 3129)”. Sources and Commentaries in Exact Sciences 11: 3–51.
. 2010. “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. “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. “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. “Data-Driven Induction In Scientific Discovery: A Critical Assessment Based On Kepler's Discoveries” . Logic, reasoning, and rationality: 59–76.
. 2014. “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. “The Emergence Of Symbolic Algebra As A Shift In Predominant Models”. Foundations of Science 13: 149–161. http://dx.doi.org/10.1007/s10699-008-9124-0.
. 2008. “Epistemic Justification And Operational Symbolism”. Foundations of science 19: 89–113.
. 2014. “Estienne De La RocheS Appropriation Of Chuquet (1484)”. In 3rd International Conference of the European Society for the History of Science, 3rd International Conference of the European Society for the History of Science, .
. 2010. “Father Henri Bosmans (S.j.) A Belgian Pioneer In The History Of Mathematics”. History and Pedagogy of Mathematics Newsletter 65: 12–15.
. 2007. “From Problem Solving To The Teaching Of Algebra: The Genesis Of The Algebra Textbook” . 11th international IHPST and 6th Greek history, philosophy and science teaching joint conference, Proceedings: 344-347.
. 2011. “From The Second Unknown To The Symbolic Equation” . Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics 26: 57–102.
. 2010. “From The Second Unknown To The Symbolic Equation” . Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics 26: 57–102.
. 2010. “Historical Objections Against The Number Line”. Science and Education 20: 863–880.
. 2011. “Hypocrisie Binnen De Wiskunde?”. Wiskunde & onderwijs 148: 306–315.
. 2011. “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. “Laudatio Jens Høyrup”. Sartoniana 22: 5–7.
. 2009. “Learning Concepts Through The History Of Mathematics: The Case Of Symbolic Algebra.” . Philosophical dimensions in mathematics education: 83–103.
. 2007. “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. “Mathematics Education Through Lesson Study In The Asia-Pacific Region”. History and Pedagogy of Mathematics Newsletter 66: 4–6.
. 2007.