SPANISH PROGRESSIVE FORM

 

Like English (I am writing), Spanish has the progressive form (estoy escribiendo). In both languages, a distinction exists between the present simple and the present progressive: I eat bananas vs. I am eating bananas, or, in Spanish, como plátanos vs. estoy comiendo plátanos. However, English tends to use the progressive form more frequently, sometimes compensating for its lack of distinct inflected verb forms compared to Spanish.
There are many nuances in the usage of the progressive form in both languages. When we chance upon a friend on the street we might ask her: "Where are you going?" and never "Where do you go?" In Castillian the reverse is true: we would never ask: "¿Dónde estás yendo?" but instead we will inquire: "¿Dónde vas?". And the answer is: "Voy al cine" and never "Estoy yendo al cine."
I am no grammarian but upon consulting La Nueva gramática de la lengua española I find no answer as to whether I can use the progressive form in Spanish with verbs of motion: ir, llevar, venir...  I refer you to Robert Spaulding's Spanish Grammar, in English, still available for purchase.