There are several motives. Some might do it out of pure boredom and just want to start some drama. Others could be competitors of the school, like other educational institutions in the area, trying to drive students away from the school by spreading such negative and false news. Also, there could be individuals within the school who have personal conflicts with the teaching staff or the management and use this as a way to get back at them.
One possible motive could be to create chaos in the school community. Some people might want to disrupt the normal functioning of the school.
One possible motive could be for a prank. People might want to give their friends or family a big scare and then have a good laugh about it later. For example, like the stories where friends plan a fake abduction to surprise the victim with a party or some other fun event.
In the fake story, the teacher might have died in an accident on the school premises.
Some may create a 'homeless kid fake story' to gain attention. They want others to think they are kind - hearted or to make themselves look important in the eyes of others.
One possible motive could be attention - seeking. The person behind the fake story might want people to focus on them or the 9 - year - old in a dramatic way.
Maybe for personal fame or attention. The person who made up the story might have thought that they would get noticed if they spread such an interesting - sounding false story. Another reason could be to mislead competitors if there are any adventure - related competitions or activities in the area. They might want to throw others off by creating this false narrative about a lost woman in the mountains.
One possible motive could be revenge. Maybe the blackmailer felt that the gym teacher had been too strict with them in the past and this was their way of getting back. For example, if the gym teacher had made a student run extra laps for being late, the student might seek revenge through blackmail.
Perhaps he has a mental disorder that makes him unable to control his violent urges. He might not even fully understand his own motives, just acting on some dark impulse within him. Another possibility is that he is being controlled by some external force, like in a horror story where a curse or an evil entity is making him commit the slaughters.
One possible motive could be revenge. Maybe he was wronged in the past and is now taking it out on others.
The teacher might have had a deluded idea of 'helping' the student in a very wrong way. They could have thought that by abducting the student, they could 'protect' the student from something they perceived as harmful, like a bad home environment. However, this is still completely unacceptable behavior. Another aspect could be that the teacher was simply a criminal minded person who saw an opportunity and took advantage of the trust the student had in them.
One possible motive could be to create unrest and distrust towards the police. Spreading false stories like this can make the public question the integrity of law enforcement agencies.