Indeed a good book on this topic. Another intriguing book by Adler, The Paideia Proposal: An Educational Manifesto outlines education based on the foundational classic books.
It is not only important to read. But to read good books. And if one is to read good books, then use the precious time to read the very best books. And a good test of a great book is that it stood the test of time. Centuries or even millennia.