- Prof. John Monaghan,
*The University of Leeds*and*The University of Agder* - Prof. Luc Trouche,
*Ecole Normale Supérieure de Lyon* - Laureate Prof. Jonathan Borwein,
*CARMA, The University of Newcastle*

John Monaghan is Emeritus Professor at the University of Leeds (UK, http://www.education.leeds.ac.uk/people/academic/monaghan) and Professor of Mathematics Education in the Department of Mathematical Sciences, University of Agder (Norway, http://www.uia.no/en/kk/profil/johnmo).

After his MSc in Mathematical Logic, John was a high school teacher for ten years, during which he completed his PhD in
1986, *Adolescents' understandings of limits and infinity*. His research interests include students' understanding of
algebra and of calculus, linking school mathematics to out-of-school activities and the use of mathematical software (by
students and by teachers). John is a past Chair of the British Society for Research into Learning Mathematics.

John's interest in digital tools in mathematics is long standing: in 1996 he co-founded the group *Computer Algebra
in Mathematics Education*; Monaghan (2004) is an oft cited paper on how the introduction of digital tools can change the
ecology of mathematics classrooms. John's interest in digital tools led to an interest in tools (in general) and mathematics
and he was fortunate to be able to develop this work with Jon Borwein and Luc Trouche in their recent book *Tools and
mathematics*.

- Monaghan, J. (2004). Teachers' activities in technology-based mathematics lessons.
*International Journal of Computers for Mathematical Learning*, 9(3), 327-357. - Monaghan, J., Trouche, L. & Borwein, J. (2016).
*Tools and Mathematics: Instruments for Learning*. New York: Springer.

Luc Trouche is full professor in the French Institute of Education, at Ecole Normale Supérieure de Lyon, France.

After having been a mathematics teacher in a high school (1975-1997), he got a PhD in Mathematics Education, became an assistant professor in the math department of Montpellier University, and was, in this University, the head of the Institute of Research on Mathematics Teaching. In 2005, he was recruited as a full professor in the French Institute of Education, and was, from 2012 to 2016 the president of the French Commission for Mathematics Teaching (a sub-commission of the International Commission on Mathematical Instruction).

Webpage: http://s2hep.univ-lyon1.fr/membres/trouche-luc-704578.kjsp?RH=1413294826802

Professional network: http://ens-lyon.academia.edu/LucTroucheDidactical analysis of ICT integration in Mathematics Education - Modelling the didactical management of instruments for learning and teaching - Analysing the metamorphosis of teacher's work in digital environments - Teachers' collective work and professional development.

- Coordinator of the project CORE-M (Collective and Resources for Teaching Mathematics, ENS de Lyon and ECNU in Shanghai)
- National French project ReVEA (Living Resources for Teaching and Learning), aiming to analyse new forms of teacher professional development, particularly their collective aspects (2014-2018)

- Monaghan, J., Borwein, J., & Trouche, L. (2016). Tools and Mathematics: Instruments for Learning, Springer.
- Gueudet, G., Pepin, B., & Trouche, L. (eds.) (2012). Mathematics Curriculum Material and Teacher Development: from text to â€˜lived' resources, Springer
- Guin, D., Ruthven, K., & Trouche, L. (eds.). (2005), The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument, Springer.
- Maschietto, M., & Trouche, L. (2010), Mathematics learning and tools from theoretical, historical and practical points of view: the productive notion of mathematics laboratories, ZDM, The International Journal on Mathematics Education, 42(1), 33-47
- Pepin, B., Gueudet, G., & Trouche, L. (2013). Investigating textbooks as crucial interfaces between culture, policy and teacher curricular practice: two contrasted case studies in France and Norway, ZDM, The International Journal on Mathematics Education, 45(5), 685-698
- Trouche, L. (2014). Instrumentation in Mathematics Education, in S. Lerman (ed.), Encyclopedia of Mathematics Education (pp. 307-313), Springer
- Trouche, L., Drijvers, P., Gueudet, G., & Sacristan, A. I. (2013). Technology-Driven Developments and Policy Implications for Mathematics Education, in A.J. Bishop, M.A. Clements, C. Keitel, J. Kilpatrick, & F.K.S. Leung (eds.), Third International Handbook of Mathematics Education 753-790, Springer.

Jonathan Michael Borwein is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Chiangmai Mai, Dalhousie, and Simon Fraser. He directs the University's Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).

Prof. Borwein was Shrum Professor of Science (1993-2003) and a Canada Research Chair in Information Technology (2001-08) at Simon Fraser University, and was founding Director of the Centre for Experimental and Constructive Mathematics. From 2004 to 2009 he worked in the Faculty of Computer Science at Dalhousie as a Canada Research Chair in Distributed and Collaborative Research, cross-appointed in Mathematics.

He was born in St Andrews in 1951. After completing an Honours Mathematics degree in 1971 at the University of Western Ontario (now Western University), he received his DPhil from Oxford in 1974, as an Ontario Rhodes Scholar. Prior to joining SFU in 1993, he worked at Dalhousie (1974-91), Carnegie-Mellon (1980-82) and Waterloo (1991-93).

He has received various awards including the Chauvenet Prize of the MAA (1993), Fellowship in the Royal Society of Canada (1994), Fellowship in the American Association for the Advancement of Science (2002), an honorary degree from Limoges (1999), and is a Foreign Member of the Bulgarian Academy of Sciences (2003). In 2010 he was elected a Fellow of the Australian Academy of Science. He became a 2015 Fellow of the American Mathematical Society and of the Royal Society of New South Wales.

His interests span pure (analysis), applied (optimization), computational (numerical and computational
analysis) mathematics, and high performance computing. He has authored well over a dozen books — most
recently half-a-dozen on Experimental Mathematics and mathematical computation (www.expmath.info), a monograph on Techniques
of Variational Analysis and a 2010 book on Convex Functions which was a
*Choice*2011 Outstanding Academic Book — and over 450 refereed articles. His most recent
coauthored books are: Lattice Sums Then and Now (2013) and Neverending Fractions (2014), both with Cambridge University Press.

The ISI, http://isihighlycited.com/, has identified him as one of the 250 most cited mathematicians of the period 1980-1999, with more than 6,500 ISI citations. He is also a regular contributor/blogger at the Huffington Post and the Conversation.