'Hinaus' or 'heraus'
I wonder if someone could possibly help with the following sentence I’ve read in a Geman textbook.

‘er jagt den Hund heraus’

(he chases the dog out)

I have learned the rule that ‘her’ is always used when the direction/action is directed towards the speaker whereas ‘hin’ on the other hand, indicates direction/action away from the speaker.

Surely, if ‘he chases the dog out’, this is movement away from the speaker and hence ‘hin’ instead of ‘her’ should be used;

‘er jagt den Hund hinaus’

Also,

With regard to the words; rüber, raus etc, I am assuming that although these take the ‘r’ from ‘her’ which would indicate movement towards rather than away from, that ‘her’ is used here regardless of direction or perspective??

Hope someone can help.

Question

'Hinaus' or 'heraus'
I wonder if someone could possibly help with the following sentence I’ve read in a Geman textbook.

‘er jagt den Hund heraus’ 

(he chases the dog out)

I have learned the rule that ‘her’ is always used when the direction/action is directed towards the speaker whereas  ‘hin’ on the other hand, indicates direction/action away from the speaker. 

Surely, if ‘he chases the dog out’,  this is movement away from the speaker and hence ‘hin’ instead of ‘her’ should be used;

‘er jagt den Hund hinaus’

Also,

With regard to the words; rüber, raus etc, I am assuming that although these take the ‘r’ from ‘her’ which would indicate movement towards rather than away from, that ‘her’ is used  here regardless of direction or perspective??

Hope someone can help.

Answer

On my opinion, all your discribed rules with refer to "heraus" and "hinaus" are absolutely correct. I would not have been able to find out and describe these rules so accurately and to the point.
Presumably the example from your textbook is bad.

Only one situation I can assume, for that the used expression would be correct:
A man is - togheter with the dog - in the house. The speaker is outside of the house, and he is  describing the situation, that the man "jagt den Hund heraus" or "er jagt den Hund raus". From the man's view "hinaus" is correct, from the speakers view "heraus" is correct, but "hinaus" is possible too - that is depending on the speakers involvement in this situation.
Perhaps the speaker is a chapman or a postman, then "heraus" would be correct.... :-)

Answer

The author takes automatically up the position of the acting part of this sentence: the dog-chasing man: 

„Er jagt den Hund hinaus.“ 
= the man and the dog are inside of the house/restaurant/kitchen, etc. 


„Er jagt den Hund heraus.“ 
= the man is outside of the house and the dog is inside of the house

If you confuse “hinausjagen“ with “herausjagen“, all Germans understand you without any problems because it is such a minor mistake.

Answer

ins Freie hinaus
aus dem Haus heraus
In either case, it doesn't matter whether you are inside or outside the house.

Let me modify the rules for you a bit:
hin = towards something (doesn't have to be the speaker)
her = from something (doesn't have to be the speaker)

Think about this for a minute.