Tough question, Mike

+1 kudo
IMO, C is correct because the structure should be: "Studies show that teachers unconsciously assume ..........., and when teachers neglect ............". Who neglects to provide the academic challenges? ==> should be teachers, not students
(A)
in neglecting to provide the academic challenges that would catalyze
their intellectual potential
Wrong. "in neglecting" is not parallel. "their" is not clear, we may think their modifies students.
(B) when
they neglect providing the academic challenges that would be catalyzing their intellectual potential
Wrong. "they" modifies students. "Neglect to do" sounds more idiomatic than "neglect doing".
(C) when
teachers neglect to provide the academic challenges that would catalyze
their students’ intellectual potential
Correct. Clear meaning.
(D)
in neglecting in providing the academic challenges that would catalyze their students’ intellectual potential
Wrong. "in neglecting" is not parallel.
(E)
in being neglectful with respect to providing the academic challenges that would be catalyzing
their intellectual potential
Wrong. " in being neglectful with respect to" sounds awkward. "their" is not clear, we may think their modifies students.
Please correct if I'm wrong.
Thanks.