I believe that education should be volitional, by simply stating the fact that education is part of the irresolute environment that we humans are born throughout. The notion of obligation of education falters due to the improvement of theories that are ever changing. Therefore it is safe to assume that education can also be a piece of information that would be chucked of due to time, beliefs and evolving cultures.
Although children, teens, even adults may not like school, it should absolutely by mandatory. When a child begins their early schooling life, they may find school fun and entertaining, but there is always a year when you would decide that you have simply had enough of waking up early, studying for tests or quizzes, doing homework, and even tolerating with the people that go to the school that you are attending. School puts much pressure upon its students, which is why if they given the choice to go, they never would. Try to imagine a world full of uneducated people walking around with nowhere to go, without a single thought in their minds about anything worth thinking over. They would not be able to do real work since they would not have the knowledge, and humanity would begin to die out right then and there, all because of the freedom to choose if you would stay home and do nothing all day, or go to school and receive the proper knowledge. The world would certainly be a lesser place.
Your argument seems compelling enough, although I would like to start off the second round by rebutting a point that you have mentioned in your argument. 'they would not have the knowledge,' a fragment quoted from your argument. Referring to this point, it is illogical to state that humans would not have knowledge. Relating to past occurrences and religious practices, we can deduce that there is more than one way of attaining knowledge. Proven to be true, people have actually based discoveries on pure creativity. Ingenuity is also entwined within this. One such example would be the great Pyramids of Gazi, which have stunned archeologists for decades. These works are purely through creativity and based on generational teachings that have not be conjured by education.
That was a by far practical and honest point, and although man would have the knowledge that you have brought to the table, if schooling was not around, man may not have access to the different perspectives of other peers that they are in school with. Although they could talk with neighbors or other people that they had become accustomed to throughout their life as you second handedly pointed out, their views would not be as widespread if people had others from around the world to express their plans with. Nor might man possess the materials needed to properly research a point of fa"ade upon a certain subject, the human cognizance would more than most likely decrease. As quoted from the previous argument, "Proven to be true, people have actually based discoveries on pure creativity. Ingenuity is also entwined within this." It is true that there were some astonishing monuments built before school was offered throughout most of the world, but with only the creativity and ingenuity mentioned in the argument, we would not have the so many different items that we have in modern times that require precision tools or machinery to create. Often times when something is not considered hard, someone may say the popular phrase, "it's not rocket science", but if we did not have those rocket scientists who all had years upon years of training in schools, we most likely would not have sent a person to the moon yet, and we would best not if all that we had to show for our efforts were creativity and ingenuity.
Starting the third round and concluding this argument, I would like to point out that, "Rocket Science", also plays into context when referring to monumental structures. My point being that precision and clear cut mastery have not been taught in the world of today. Taking the Sphinx for example, the curves on the surface of hard rock does not show any traces or chippings of handiwork, though there is evidence showing the use of primitive chisels and make shift hammers. Also in further analysis I have also concluded that education is a more backed up source of knowledge. This means that far more advanced teachings that have been dissected or fragmented by education. For example, the aboriginal tribe of the blue mountains, though their population is extinct, have been know of their medical proficiencies which include a cure for cancer. In my perspective, I believe that education though it is necessary for the world of today might not be valid for the world of tomorrow.