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Aspects of “Anschauung” in the Work of Felix Klein

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Aimed at modernizing the teaching of mathematics at German secondary schools around 1900, The “Kleinian Reform Movement” was characterized by Felix Klein’s two key demands: “strengthening spatial intuition” and “training the habit of functional reasoning”. This paper presents a number of examples demonstrating the importance of the concept of intuition (Anschauung) for Klein and explains the role he assigned to intuition in mathematics instruction at school and university.