Yes; I learned it that way as well but I was never able to write them smoothly or legibly. I consciously practiced cursive in adulthood and only then discovered the mirrored-c technique, which always looks right and flows far better. There are a lot of problems IMHO with the D'Nealian method that US pupils were prescribed, likely responsible for the huge backlash against cursive in general.

I write it with a descending curve, then go back and cross it with an ascending diagonal line when crossing t's / dotting i's/j's. Like this: https://www.youtube.com/watch?v=Cel3GtSOzow. I think that's pretty standard in English cursives.