wrote:
To be polarized must be the two poles (nodes)

The tip of a monopole and its base are its two nodes. *A monopole is
polarized.

This is a very simple lesson to learn.

but, but, but, the base is a voltage minimum, not the opposite peak
voltage of the top!!! how can that form two nodes to make the
electrons jump opposite directions? this just can't be true! this
must only be half polarity polarisation.

What? Is this Oliver Twist in reverse polish notation?

"Please, sir, can I have another node?"

Yes, you have fully anticipated an objection in its juvenile form.
This can be countered (after asking for a hand to be held out for
switching):
Pick any potential reference point along the
length of the quarter wave monopole;
every point above it will have the opposite polarity
of any point below it - ergo, two nodes are described
each on either side of the reference.

I hope I don't have to explain that using batteries and resistors (it
may present a challenge in introducing advanced electronic concepts).

73's
Richard Clark, KB7QHC