(These are my personal opinions. As always, renshuu lets you study in whatever way works best for you.)
Many people wonder: when learning kanji on renshuu (or some other platform), whether or not it's worth learning what seems like a list of arbitrary readings for each kanji character. (By the way, if you don't know what kanji readings are, check out our Kanji Basics lesson under Resources > Japanese Basics in the menu)
While there are different ways to reach this, it is essential for long-term learning that you end up having a mental map of readings for each kanji.
(Check out the bottom of the post for the two main ways that people do this)
What do readings help with?
It is the hope of most learners that one reaches the point where learning switches over from an active to a passive activity. In other words, you stop learning lists of words and expressions, and start to pick them up the way that native speakers do: through exposure to them in conversation, reading, etc. This may seem like an impossible dream to someone who is only a couple hundred words into the language, but it is a step that all learners reach if they stick with it.
Reading
As you most likely know, kanji have one or more meanings that can be used to help figure out the meaning of a written word, even if you've never seen it before. So if you run into the word 今夜 (こんや), knowledge of those two kanji will make you think "now + night... this probably means tonight." Additionally, since words are usually parts of sentences and paragraphs, the context of the passage will help even more with the meaning of the term.
One might think that the meaning is enough, then - no knowledge of readings was needed to identify that word. However, just knowing the meaning of the term does nothing in terms of letting you use the term yourself (either in writing or speaking). If you're typing out the word, using the "reading" of the term is always going to be faster than a writing pad that lets you input the kanji directly. It's more obvious with speaking - if you cannot read it, you cannot say it.
Now, if you are thinking "I never plan on writing or speaking, I just want to consume Japanese media", I'd strongly recommend that you consider the possibility that you'll want to write or speak in the future. Relative to how much time you will put in learning to read Japanese, the time to learn to write it (even if it's just on computers) is tiny in comparison.
Listening
You might not believe me now, but knowing the readings of kanjis plays a HUGE part in listening skills, especially as you progress into intermediate and advanced levels.
Let's think about what listening actually is - it's hearing the "readings" of a string of words. Let's return to our example, 今夜/こんや. If you do not have a firm grasp on the word to begin with, when you hear the word, you're going to hear it in one of two ways:
こ - ん - や = three syllables, each with no inherent meaning as individual sounds.
こん や = two readings, each of which your brain can link up with potential readings from known kanji.
や might be a word you studied as a suffix, but こん doesn't exist on its own. In other words, without prior knowledge about the kanji and readings, there are few strategies (other than relying purely on context) that you have to figure out what this word means. However, if you have こん in your head as 今, and や as 夜, you're going to have a better chance at figuring out what it is.
And of course, it's pretty hard to tell someone to stop talking while you take a word and look it up, so we need to give our heads every advantage possible in decoding the language as we receive it. Anyone that has used Japanese in real life has probably had the experience where taking too much time to understand someone and come up with an answer destroyed the flow of the conversation.
I was a teacher in Japan for many years, and was part of teacher meetings as a daily part of my job. One day in March, a teacher was talking, and a word was spoken that I had never heard before: しんがっき.
It came as a shock when my brain said "oh, I know what that means."
しん / がっ (collapsed form of がく ) / き
しん is used by many kanji, but is overwhelming used as 新 (new), especially when at the beginning of a word.
がく is a rarer reading (less kanji use it), so given that I was at a school, 学 (がく) actually appeared in my head.
き is a tricky one. If you type this into renshuu's kanji dictionary, you will get a HUGE list of kanji, including many that you learn in your first year or two of learning Japanese. However, the other two kanji plus some contextual clues led me to the most likely candidate. It was March, which meant the new school year (and school semester) was starting in April. Additionally, the discussion was discussing schedule matters. So "new + school + ____", I guessed that き was 期 (period).
Once you have a firm grasp on them with repeated exposure, kanji will literally leap into your head and help you figure out what you're hearing.
As a summary, these two processes are examples of passive learning. With this, you will transition away from looking up every new word, and start learning more Japanese just by being exposed to it. It's pretty awesome, and is completely attainable for all learners.
So, how should I learn readings?
There are two key methods for learning readings, both possible on renshuu:
1. Kanji meanings + readings -> vocabulary review
This is my preferred method, but not ideal for everyone.
A. In your kanji schedule, have the meaning, kunyomi, and onyomi study vectors enabled.
B. Through your schedule, learn and review the kanji readings as elements of the kanji.
C. In your vocabulary schedule(s), any words with those kanji will start automatically offering up kanji questions, so you can review and reinforcement through your vocabulary studies.
+ Helps make a very clear mapping of kanji to readings
+ Makes unique readings (those are the ones, like 今日/きょう, where the kanji in the word do not link up with official readings) easier to spot.
+ Since you learn the original readings, it is an easier jump to collapsed/contracted forms (がく > がっ).
- Depending on your vocabulary contents, you may learn readings that you are not immediately exposed to within your vocabulary studies.
2. Kanji meanings (no readings) -> vocabulary review
A. In your kanji schedule, have the meaning vector only.
B. So, your kanji schedules focuses only on meaning.
C. In your vocabulary schedule(s), you will be exposed to the readings through the vocabulary terms that use them.
+ You do not have to learn the readings in isolation (which can be hard for many people)
+ You do not spend as much time on the less common readings
- Unique readings are harder to notice
- Rarer readings will not be reinforced as often
- Collapsed readings are harder to synthesize into your knowledge. (A collapsed/contracted reading is one that gets shortened when used within a word with multiple kanji in it. For example, 学 has the reading がく, but it is read as がっこう in 学校 (gakk instead of gaku). So if you learn 学 in your kanji schedule, then 学校 in your vocabulary schedule, it will not be obvious if がっ (gakk) is a shortened form of がく, がつ, etc.)
However, both styles reach the same goal: the mapping of kanji to readings. So choose what works best for you!
P.S. - If you would like learning materials which are built around "learn a kanji, then immediately learn a group of words that use that kanji", consider going into Resources > Lesson Center, then searching for renshuu's "kanji kentei" materials. They'll be perfect for you, and they follow the kanji progression used in schools in Japan.