Apart from a mistype of "and" in 2, no spelling or grammar errors leap out, so it's more about clarity and style.
My preference is for 1, as I find expressions such as "avail..." and "richer spectrum..." a bit over-the-top.
In 1, first sentence, you could drop the comma before "and" possibly put "to" in front of discover, to show two parallel activities "to take the next step" and "to discover strategies". But alternatively, you could have a dash before the "and", "to take the next step independently -- and discover..." to make the "go wrong" thought a bit more contrasting, an interruption / realisation that things might go wrong.
In 1, second sentence, I can see what you are trying to say, but something sounds a bit odd, the idea of learning [present tense] what you have been taught [past] (as you have already learnt it, if you see what I mean?)