for the learning of mathematics

an international journal of mathematics education

Monica Villarreal
 Mathematical thinking and intellectual technologies: the visual and the algebraic

2
Peter Huckstep
 The utility of mathematics education: some responses to scepticism

8
Helen Featherstone
 "-Pat + Pat = 0": intellectual play in elementary mathematics

14
Roza Leikin ,  Greisy Winicki-Landman
 On equivalent and non-equivalent definitions: part 2

24
Inés Cruz ,  Ma Febles ,  José Diaz
 Kevin: a visualiser pupil

30
Michael D. Hardy
 Communication: Co-operation, silence and the quest for 'cool' ideas

37
Liz Bills
 Politeness in teacher¬≠student dialogue: a socio-linguistic analysis

40