Students' performance in reasoning and proof in Taiwan and Germany: Results,paradoxes and open questions |
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Authors: | Aiso Heinze Ying-Hao Cheng Kai-Lin Yang |
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Institution: | 1.Lehrstuhl für Mathematikdidaktik,Universit?t Augsburg,Augsburg,Germany;2.General Education Center,Chung Kuo Institute of Technology,Taipei,Taiwan, Republic of China;3.Center for Teacher Education,Chung Yuan Christian University,Taiwan, Republic of China |
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Abstract: | In different international studies on mathematical achievement East Asian students outperformed the students from Western
countries. A deeper analysis shows that this is not restricted to routine tasks but also affects students’ performance for
complex mathematical problem solving and proof tasks. This fact seems to be surprising since the mathematics instruction in
most of the East Asian countries is described as examination driven and based on memorising rules and facts. In contrast,
the mathematics classroom in western countries aims at a meaningful and individualised learning. In this article we discuss
this “paradox” in detail for Taiwan and Germany as two typical countries from East Asia and Western Europe. |
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