In this paper we present an educational digital game, Function Dungeon, that we developed for learning about functions in a playful way. Results from a pilot conducted with fourteen 13-year-old students in a school in the Netherlands show that the game can foster ‘joyful practice’. That is, students experience fun and sense of control while practicing mathematics. Findings from this study contribute to the development of knowledge about digital educational games and its potential to transform traditional practices in education.
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This article will discuss philosophical debates on economic growth and environmental sustainability, the role of management responsibility, and the risk of subversion to business as usual. This discussion will be framed using the concepts of Cradle to Cradle (C2C) and Circular Economy about sustainable production. The case study illustrating the danger of subversion of these progressive models discussed here is based on the assignments submitted by Masters students as part of a course related to sustainable production and consumption at Leiden University. The evaluation of the supposedly best practice cases placed on the website of the Ellen MacArthur Foundation or those awarded Cradle to Cradle certificate has led some students to conclude that these cases illustrated green-washing. Larger implications of identified cases of green-washing for the field of sustainable business and ecological management are discussed. “This is a post-peer-review, pre-copyedit version of an article published in 'Philosophy of Management'. The final authenticated version is available online at: https://doi.org/10.1007/s40926-019-00108-x LinkedIn: https://www.linkedin.com/in/helenkopnina/
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In one-dimensional disordered wires electronic states are localized at any energy. Correlations of the states at close positive energies and the AC conductivity \sigma(\omega) in the limit of small frequency are described by the Mott-Berezinskii theory. We revisit the instanton approach to the statistics of wave functions and AC transport valid in the tails of the spectrum (large negative energies). Applying our recent results on functional determinants, we calculate exactly the integral over Gaussian fluctuations around the exact two-instanton saddle point. We derive correlators of wave functions at different energies beyond the leading order in the energy difference. This allows us to calculate corrections to the Mott-Berezinskii law (the leading small-frequency asymptotic behavior of \sigma(\omega)) which approximate the exact result in a broad range of \omega. We compare our results with the ones obtained for positive energies.
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