Styles of reasoning for mathematics education

David Kollosche
Although reasoning is a central concept in mathematics education research, the discipline is still in need of a coherent theory of mathematical reasoning. With respect to epistemological problems in the dominant discourses on proof, mathematical modelling, and post-truth politics in the discipline, and in accordance with trends in the philosophy of mathematics and in mathematics education research in general, it is argued that it is necessary to give a relativist account mathematical reasoning. Hacking’s framework...
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