My papers and books

T. Bascelli, P. B. Laszczyk, A. Borovik, V. Kanovei, K. U. Katz, M. G. Katz, S. S. Kutateladze, T. Mcgaffey, D. M. Schaps, and D. Sherry,  Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. To appear. Final pre-publication version:

A. Borovik, What can specialist mathematics schools give to students that mainstream schools cannot? The De Morgan Gazette 9 no. 3 (2017), 17–25.

A. Borovik, What students like, The De Morgan Gazette 9 no. 1 (2017), 1–6.

A. V. Borovik, Comments on “Stop Ruining Math! Reasons and Remedies for the
Maladies of Mathematics Education” by Rachel Steinig
, The De Morgan Gazette 8 no. 2 (2016) 9-18.

A. V. Borovik, Being in control, to appear in Understanding Emotions in Mathematical Thinking and Learning  (U. Xolocotzin, ed.). Elsivier, 201X.

A. V. Borovik,  Economy of thought: a neglected principle of mathematics education,  to appear in Simplicity: Ideals of Practice in Mathematics and the Arts  (R. Kossak and Ph. Ording, eds.).  Springer, 2017. A pre-publication version (without editorial changes made by publishers): . (Typeset in LaTeX by the author.)

A. V. Borovik, Sublime Symmetry: Mathematics and Art, The De Morgan Gazette, 8 no. 1 (2016) 1-8. ISSN 2053-1451.

A. V. Borovik,  Makers and Users (extended abstract of a talk at the ISIS Summit in Vienna, June 2015).

A. V. Borovik, Calling a spade a spade: Mathematics in the new pattern of division of labour, Mathematical Cultures: The London Meetings 2012-14 (B. Larvor, ed.). Trends in the History of Science. Springer, 2016, pp. 347-374. ISBN 978-3-319-28580-1. DOI 10.1007/978-3-319-28582-5_20. A pre-publication version (without editorial changes made by publishers): . (Typeset in LaTeX by the author.)

A. V. Borovik, Free Maths Schools”: some international parallels, The De Morgan Journal 2 no. 2 (2012) 23-35.

A. V . Borovik and A. D. Gardiner, Mathematical abilities and mathematical skills, The De Morgan Journal 2 no. 2 (2012)  75-86.

A. V. Borovik, Information and Communication Technology in University Level Mathematics Teaching, The De Morgan Journal 2 no. 1 (2012) 9-39.


A. V. Borovik, Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice. Amer. Math. Soc., Providence, RI. 317 pp. ISBN-10: 0-8218-4761-9. ISBN-13: 978-0-8218-

A. V. Borovik and A. S. Borovik, Mirrors and Reflections: The Geometry of Finite Reflection Groups. Springer, 2010.  ISBN 978-0-387-79065-7.