Adaptive user interfaces are user interfaces that dynamically adapt to the users’ preferences and abilities. These user interfaces have great potential to improve accessibility of user interfaces for people with cognitive disabilities. However automatic changes to user interfaces driven by adaptivity are also in contradiction to accessibility guidelines, as consistence of user interfaces is of utmost importance for people with cognitive disabilities. This paper describes how such user interfaces are implemented within the Easy Reading framework, a framework to improve the accessibility of web-pages for people with cognitive disabilities.