The ubiquitous availability of a wide range of Internet connected mobile devices makes possible to dedicate small amounts of spare time for mobile learning. The limited screen size makes current mobile devices quite hard to visualize multifaceted web pages, so this kind of content could be adjusted to meet the device needs. CMS-based websites, in general, are designed for large screens and when users go online with mobile phones, smartphones and tablets they feel some discomfort. The usability and user experience may be reduced when interacting with learning platforms that are not optimized for such features. A possible solution has arisen with recent advances in Responsive Web Design specifications. This adaptive web design technique advocates a single self-adaptive interface and avoids thereby multiplication of information sources and technical supports and promotes the possibility to design adaptive e-Learning courses and adaptive e-Learning mobile applications. In this paper we discuss about the possibilities of Responsive Web Design technique to adapt a learning content compared to an adaptive service-based approach to design responsive learning contents for m-Learning usage.