diffusion

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tandfonline.com – Distance (still) hampers diffusion of innovations

Posted on by Troels Gannerup Christensen - Læst 19 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT This paper employs goods and services descriptions from US trademarks to study spatial diffusion of innovations. Identifying novel, fast-spreading tokens (words) in trademark descriptions, we outline patterns of regional innovation and estimate how distance affects diffusion. Novel trademark tokens are frequently new to English, they capture many unpatented innovations, and their appearance in language co-evolves with their use in intellectual property filings. We analyse the introduction of novel tokens to capture the emergence of innovations and show that… Continue Reading →

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tandfonline.com – Undergraduate students’ difficulties with boundary conditions for the diffusion equation

Posted on by Troels Gannerup Christensen - Læst 22 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Combining mathematical and physical understanding in reasoning is difficult, and a growing body of research shows that students experience problems with the combination of physics and mathematics in reasoning beyond the introductory level. We investigated students’ reasoning about boundary conditions (BCs) for the diffusion equation by conducting exploratory task-based, think-aloud interviews with twelve undergraduate students majoring in physics or mathematics. We identified several difficulties students experienced while solving the interview task and categorized them using the conceptual blending framework.… Continue Reading →