consider: "At about two to four years of age, children cannot yet manipulate and transform information in a logical way. However, they now can think in images and symbols."

Tangent: I remember, and remember remembering, and have evidence of remembering at least one situation to which I applied what passed for rational thought at the time, which I later found out matched with an event when I had just turned two (I had been assuming throughout elementary school that I had been around four at the time, but a serendipidously found video that corrected me; I definitely didn't start ordering memories chronologically until at least age 5). It stuck with me because I made a couple predictions based on experience, decided to act on one (my parents' fears about me falling in the lake overestimated the risk), and acknowledged and ignored the other (if I ignored them and ran toward the water I'd inevitably get caught and called back, but it didn't matter because I was right). (It turned out that I was right about the second prediction, and subsequently failed to test the first one.)

This always gave me issues with developmental psychology literature, until I got to LW, admitted to myself that the literature probably knows what it's talking about, and I was probably just weird.