that節 の thatは、that節の部品だから、
ということです。
例えば
What I was surprised at was that he didn't know what he was talking about.
で、
What I was surprised at was / that he didn't know . . .
(あるいは、What I was surprised at / was that he didn't know . . .)
でなければいけないのに、
What I was surprised at was that / he didn't know . . .
という生徒がほとんどだ、ということです。
that節は、thatの前で切れ。thatの後で切るな。
来週から、ご指導のほど、しっかりお願いします。