The aim of this study is to investigate the strategies employed by advanced high school and university students working on six tasks concerning comparison and conservation of area. Special care has been taken in the test design so that the problems could be dealt with using a variety of solution methods. Written responses and in-depth interviews with 21 12th graders and university students of mathematics provided the empirical data. The results show that the majority of the participants either did not prefer or had difficulties employing adequately formal reasoning. Visualization factors seem to exert considerable influence. Moreover, many students confuse congruence with area equivalence.

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