for the learning of mathematics   vol. 8 num. 3 (1988) an international journal of mathematics education

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Susan Pirie   Understanding: instrumental, relational, intuitive, constructed, formalized ...? How can we know?                           2 Hans-Georg Steiner   Two kinds ofelements and the dialectic between synthetic-deductive and analytic-genetic approaches in mathematics                           7 Roger Säljö ,  Jan Wyndhamn   A week has seven days. Or does it? On bridging linguistic openness and mathematical precision                           16 Jane M. Watson   Three hungry men and strategies for problem solving                           20 Peter Galbraith   Mathematics education and the future: a long wave view of change                           27 Nitsa Movshovits-Hadar   School mathematics theorems -- an endless source of surprise                           34 Caleb Gattegno   Reflections on forty years of work on mathematics teaching                           41

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