In what ways did the points made by the writer in the introduction contradicts her conclusion?
(in the question listed above, shouldn't "contradicts" be written as "contradict" - since we are referring to the "points" made by the writer?)
Simplifying the sentence...
Take out adjectival phrases:
Simplify "In what ways"; simplify "her conclusion":
Contradicts must be wrong, as it should be an infinitive form.