We thank all those who helped with this manuscript by reading and commenting:
Thekla Afantiti-Lamprianou, Laura Black, Pauline Davis, Constantia
Hadjidemetriou, Yvette Solomon, Ian Sugarman, Howard Tanner; and Diane
Brooks for artwork on the discussion prompt sheets (Appendix 2).
More broadly, we would like to thank all the colleagues and students who,
through joint work, which is cited in references, and many conversations,
which are not, have helped us to formulate our ideas, especially those colleagues
and post-docs involved in previous research projects on Argumentation,
Situated Intuition, Maths@work, and various assessments, particularly
Mathematics Assessment for Learning and Teaching: Brian Doig, Susie Groves,
Constantia Hadjidemetriou, Andreas Koukkoufis, Jason Lamprianou, Thekla
Afantiti-Lamprianou, Liora Linchevski, Barry McCrae, Maria Pampaka, Lawrence
Splitter, Geoff Wake, Lawrence Wo, and too many others to list.
We recognize the essential contribution of the many children, students
and teachers who have participated in related research projects over the last
decade, mostly in England and Australia, but also in Israel. The validity of the
text depends on the authenticity with which we have re-presented their
voices.