There is no attached photo, but I have two different 'full pin' call it a + model as the 40pin is based on the B+ design iirc.
One like your shorter has the 3V3 and 5V placed directly into the power rails, very convenient and my favourite design. Saves a few wires.
The link given is great to use.
GPIO / BOARD pinout usually refers to physical pin number.
BCM (Broadcom) refers to actual pin function. RaspberryPi foundation and anything designed by them used BCM.
BCM is the most useful for knowing what's what and not using a pin that may be useful for something else.
GPIO pin counting is so much easier for the young to setup and use and teach with. It's good to give a nod to BCM after a bit and explain, just to use both, count the pins but take not of the BCM naming so they see and can use both (avoiding 3V3's and GND is often a good skill to get into
A breakout makes it easier as it's all written out for them.
I assume yours have numbering on them, so learn them both.
You can ignore the later GPIO pins if you wish to make them compatible between the Pi's