Shaikh Muḥammad ibn Hādī al-Madkhalī, may Allāh protect him from every harm, said:
This one says: One who wants to follow the way of the Companions in memorizing the Qur’ān–five to ten verses along with understanding–so how does he go about [doing that]?
If he were young in age, a child growing up, this one can be made to get by with the commentary concerning the tasfīr [meaning] of the Qur’ān that is among [the publications of] the King Fahd [Qur’an Printing] Complex [i.e., Al-Tafsīr Al-Muyassar]. It is better than The Words—The Meaning of the Words–that used to be available to us in the past.
So this one that has been published [as a commentary] on the King Fahd Complex printed Qur’ān is enough. He [will] understand [by reading it] what the meaning of these verses are [that he is memorizing].
Then if he advances beyond that a little, there is nothing to stop him from reading through the very abridged books of tafsīr like [that of] Al-Baghawī, for example. It is to be read from for [that].¹
These books are available.
The books of tafsīr by the people of knowledge [explaining] divisions of the Qur’ān, like the tafsīr of [the] ʿAmma [division], the tafsīr of [the] Tabārak [division], the tafsīr of [the] Qad [division]. These are available. There is no problem with [reading the like of] that.
Then, later, if he were to advance after that, he reads from books that are [of a] higher [level], like the summary of [Tafsīr] Ibn Kathīr by Shaikh Aḥmad Shākir or Nasīb Al-Rifāʿī and the like of them.
Then if he advances beyond [that], there is nothing to stop him from reading from any book from the books of tafsīr.
And all knowledge is with Allāh.
¹The shaikh’s speech was somewhat unclear here. I have attempted to capture what I could hear at this point as: “It is to be read from for [that].” (Trans.)
Source: recording at goo.gl/bfT8KQ (27:05-28:19).