Global population is not going down, is stabilizing, but we are too many already.
https://upload.wikimedia.org/wikipedia/commons/6/65/Population_Growth_by_World_Bank_continental_division.pngThe issue is that we, as animals, have had unnatural survival behaviour, so the world population grew exponentially from 4 billion in 1974 to 7.5 billion in 2018, almost a duplicated number:
https://i.imgur.com/QDZ6JaF.pngSo yes, it is an issue, though. If any other animal had this kind of behaviour, humans will, for sure implement a reproduction control in order to stop the (hypothetical) animal to become a plague.
So, in fact, and given the reproduction behaviour, humankind can be considered as one.
Yes, education can be absolutely something of value in stopping this incredible and crazy increment. But the humans have already altered the earth so much that is starting to be considered at this particular time as a new geological era: Anthropocene.
Why would you say that survival behavior is unnatural? I think that's just about the most natural behavior you can have. I think you're right when you use the word "animal". These are the same instincts that animals have to reproduce. I don't think the huge boom in world population is due to people suddenly deciding to turn on their survival instinct. The difference is that people actually started surviving. Modern medicine and vaccinations have reduced out mortality rate greatly. Life expectancy is also going up. I suggest not only looking at the history population, but also look at the birth rates. They are going down all over the world. Some projections even predict that world population will start going down again the future.