Vol. 22 Num. 3 (2002) Triandafillos A. Triandafillidis On 'How to make our ideas clear': a pragmatist critique of explication in the mathematics classroom2 Tamara Bibby Creativity and logic in primary-school mathematics: a view from the classroom10 Keith Weber Beyond proving and explaining: proofs that justify the use of definitions and axiomatic structures and proofs that illustrate technique14 John Sharp Communication: Pictures inspired by Theo van Doesburg18 Nathalie Sinclair Communication: Re-constructing a painting with geometric eyes19 Tine Wedege Numeracy as a basic qualification in semi-skilled jobs23 Cyril Julie The activity system of school-teaching mathematics and mathematical modelling29 Gila Hanna , Hans Niels Jahnke Arguments from physics in mathematical proofs: an educational perspective38