Teachers will never be replaced. What technology will do is transform them.

If you look decades back you could see teachers to be found only in and around educational institutions. Today they are everywhere. They are on YouTube, MOOC sites, in temples and in coffee-shops.

In future, only the platform or method of teaching will change but that human touch will always be there.

AI can work together with teachers and students if you know how to train it to work with the curriculum used.

It all depends on what you define by teaching, and especially what you mean by learning.

If teaching (and formal education) follows the classical paradigm (a way to create clones of a mold: nice uniform people that behave exactly as society has determined), then teachers can (and maybe should) be replaced with technology.

But it seems clear that the classical educational paradigm is no longer sustainable. People need to learn how to define their own interests (maybe someone thinks technology makes that with AI, but it really reinforces one interest in detriment of others), find the resources to dig deeper in those interests, be able to experiment (another thing not really promoted these days except if you’re doing it for a big company), share conclusions…

It is true technology and machines can give nice tools to support learning, can (finally) archive all knowledge in order to have it accessible (although Wikipedia shows us it’s not that easy). If technological tools are available to produce and access information, education can be focused on what it was meant to be: a way to facilitate people’s fulfillment by addressing their needs for information and skills having determined their own interests. And that’s the main point technology is way far to achieve.

Seeing current advancements in the field of gamification, I am almost certain that at some point we will be able to teach children in a motivational and enjoyable way things they actually need for their future life and career - even catering to the unique differences between every single one of them.

I am not of the opinion that we need AI or anything fancy for that which does not already exist today, however we might need to study humans, their emotions, how they act and what they like more, in order to make educated guesses about how to teach and what to teach.

Just to make an example, while I had "Educational Arts" at school, which taught me how to use techniques to create a scenery from randomness, it's not something I enjoyed or actually need. I would have loved to learn how to draw characters, or imitate materials, or create 3D bodies. That would have been useful and just as much "art" and "educational" as what we did. I would expect a future program to be able to determine, from what I like and how I act, to teach me the right tools and guide me towards new and exciting tasks I might enjoy and with which I will be able to earn money in the future.

Depends on how far in the future you mean. Next 10 years? Highly doubtful. 20? Maybe. 50-100? At least some portion of teachers, almost certainly. It all depends on how well AI can adapt to the student. Not all students learn the same way, so if there's an AI than can find and adapt to the student's best way of learning, then I would say there's a good possibility of this happening.