"I'm studying next week" or "I'm going to study next week"? (Please avoid sloppy English - it makes your honest mistakes look worse.) They are not the same - students learn this difference at pre-intermediate level. Perhaps this may explain the difference more clearly (one of many explanations online): https://www.youtube.com/watch?v=zZZkUaDWqc0 The main difference for me, as a native listener, is that "I'm studying next week" sounds like a commitment or decision that you can't change easily.

más gramaticalmente correcto seria " I am going to study next week " Pero en la calle y con cualtes y familia usamos la palabra " gonna " en vez de "going " Por ejemplo " you gonna study next week ? I'm gonna go to the store . Otros ejemplos son= " wanna " es equal como " want " I wanna study next week. Hay muchos otros ejemplos Es similiar como los latinos dicen " ven pa ' áca . Abreviations Buena suerte con sus estudios amigo

They mean the same thing. I would take 'the' out of the sentence.