Carlos Kiyan and many other contributors have released their plugins for mobile Moodle to the plugins repository. These two plugins started as one of the earliest Mobile Moodle projects (back in 2010: Moodle4iPhone). The two new themes can be downloaded and applied to your Moodle site (they support Moodle 2.4 and tablet or smartphones compatible with iPad and Android tablets or iPhone/iPodtouch/Android 4.x devices.
- Moodle2Mobile: https://moodle.org/plugins/view.php?plugin=theme_moodle2mobile
- Moodle2Tablet: https://moodle.org/plugins/view.php?plugin=theme_moodle2tablet
See it in action at http://m.ideas4ict.com.