Can you provide some references to the research you're referring to? Sounds interesting but you haven't really provided enough information to find it.
You need much more time and guidance.
TLDR: Actual human tutoring sessions were recorded and analyzed and Socratic questioning was barely used at all. Instead the following pattern was observed:
Pump — "Uh huh?" "What else?" Costs nothing, so try it first.
Hint — points at the region of the answer. "What about the pumpkin's motion sideways?"
Prompt — fishes for one specific word, with the sentence frame supplied. "The pumpkin keeps moving forward at the same ___?"
Assertion — just says it. "It keeps the runner's horizontal velocity."