I suggest a combination of theory (videos/books/papers) and practice.
For practice; I highly recommend learning Haskell. If you are new to functional programming then learning Haskell is challenging and frustrating but as with any new topic the key is to not give up but keep probing. A good recent development is lot of mainstream languages are beginning to include functional paradigms such as lambda, closures etc., For example Java introduced lambda expressions, Javascript has had them for a while now. But from a first-principles stand point Haskell is as good as it gets so please do learn and code in Haskell if not at work then at least side projects.
For theory I've found following material super useful.
0. This[0] is an incredibly awesome lecture where Phil Wadler takes us on a whirlwind tour of computer science. He talks us through different foundational structures on which almost everything (hardware and software) about computer science is built. I watch this lecture once every few months :-). It helps you build up context and ground various topics.
1. The one and only SICP. Book[1] and lectures[2].
2. Automata theory[3]. This isn't an easy course but gets to the heart of the matter i.e., the meaning of "function" and what how can it be mechanically "computed".
3. Category Theory is where lot of active research is happening in CS theory. This is a very good lecture series[4]. The pace may seem a bit meandering but don't be put off. Bartosz is a gifted teacher and works incredibly hard to disseminate knowledge. For evidence just look at a recent post on HN[5] about an article he published.
[0] https://www.youtube.com/watch?v=aeRVdYN6fE8
[1] https://mitpress.mit.edu/sites/default/files/sicp/full-text/...
[2] https://www.youtube.com/watch?v=-J_xL4IGhJA&list=PLE18841CAB...
[3] http://ce.sharif.edu/courses/94-95/1/ce414-2/resources/root/...
[4] https://www.youtube.com/watch?v=I8LbkfSSR58&list=PLbgaMIhjbm...
[5] https://news.ycombinator.com/item?id=26991300