Vol. 7 Num. 1 (1987) David Clarke The interactive monitoring of children's learning of mathematics2 Hans-Georg Steiner Philosophical and epistemological aspects of mathematics and their interaction with theory and practice in mathematics education7 Avery Solomon Proportion: interrelations and meaning in mathematics14 Robert Thomas Cartesian and non-Cartesian thinking: reflections on the learning of mathematics23 Alan H. Schoenfeld Confessions of an accidental theorist30 Claude Comiti , Annie Bessot A study of children's strategies for the comparison of numerals39 Tony Brown Teacher-student interactions48