Single thread & the needle just will not stay together?

I tried using the sewing method with the double thread and I passed, if I do say so myself! BUT the single thread sewing is a challenge for me. When I began sewing the "dangling end" kept right on coming through the needle and I would need to rethread the needle. Should I have tied knots at both ends of the single thread? In the photos I reviewed it does not seem that there is a knot at the "dangling end"

Nope! Only one knot at the very end. The single thread technique can be tricky at first - it's all about pinching the thread against the needle as you hold it. It'll get easier the more you do it!