130,986 research outputs found
On the Koopman von Neumann waves. II
No full textIn this paper we continue the study, started in \cite{waves1}, of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the Thirties. In particular we show that the introduction of the KvN Hilbert space of complex and square integrable ``wave functions" requires an enlargement of the set of the observables of ordinary classical mechanics. The possible role and the meaning of these extra observables is briefly indicated in this work. We also analyze the similarities and differences between non selective measurements and two-slit experiments in classical and quantum mechanics
La discussione guidata come strategia didattica per imparare a pensare
No full textThis study tries to identify how teaching strategies that are based on guided discussion can affect some aspects of learning. A group of upper secondary school teachers used five guided discussion teaching methods. The techniques have been carried out within a class from September till December 2014. After each session, the pupils were asked to fill in a short questionnaire, focused on four learning dimensions: cognitive, metacognitive, social and emotional. The data analysis showed, on one hand, that the learning dimensions developed positively as the discussion strategies became more complex and, on the other hand, it underlined some difficult educational moments. This study shows how the guided discussion may represent an effective teaching strategy to develop meaningful learning for students and the professional development for teacher
A new look at the Schouten-Nijenhuis, Frolicher-Nijenhuis and Nijenhuis-Richardson brackets for symplectic spaces
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