Schools of tomorrow, as I think, will be mainly based on computers, the internet an they may be based on distant learning that replaces teachers. There will be a large role for the family which replaces the schools in providing learning for their children. This is just a speculation about future learning.
Concerning systems evolution, the education (pedagogics), economic (economics) and health care (medicine) systems are working as one unit. As I follow mainly the predictions of L.S. Nefiodov (pdf), the growth engine of the 21st century will be human health. The consequences for the human education system will be: 1)holistic education=integration of heart, brain and hand=project learning; 2)key facts can be computed and learned by self-testing/automatic grading; 3) assessment will be based on qualities (talent identification); 4) intrinsic motivation will replace 'industrialized' drill ('robotization'); 5) complexities can only be communicated (not controlled); 6) humanistic spirituality will drive out materialist consumerism (spiritual ecology); 7) scientific methodology and creativity will be combined (research by 'intelligent' design).
"What kind of educational environment do you think our children need as their tomorrow's school ? You ask.
As I se it, such an environment should:
1) foster cooperation instead of competetion at both students' and teachers' level;
2) make use of appropriate technology, such as computers, Internet, e-learning, and do forth;
3) constitute, say, a moral atmosphere, that is, a milieu interested in pursuing the the true, the good, and the beautiful, not the fasle, the bad, and the ugly;
4) teachers should be authoritative, not authoriarian, nor permissive figures. Authoritative figures are demanding in intellectual terms, but warm in terms of social interaction with their students; authoritarian figures are demanding in intellectual terms, but cold in terms of social interaction with their students; and permissive figures are guided,say, by the slogan" laissez faire, laissez passer, laissez aller" (let it go). There is accumulated evidence shows that that in constrast with authoritarian or permissive teachers, authoritative teachers foster their students' psychological development, be it cognitive, social, motal, emotional, aesthetical, and so forth;
5) Teachers should make use of the active methods. In contrast to what happens in the tradidional and conservative methods, in the active methods teachers are more mentors and organizers of learning experience and situations, such that students come to understand, reinvent, and reconstruct all that they learn, than simple transmitters of ready made or established truths imposed on students from outside;
6) Teachers should aim at having intrinsically-motivated students, not extrinsically motivated students,
7) Teachers should aim at giving rise to creators and innovators, not to conformist people;
8) Theacher should adopt a holistic or multisystemic perspective, that is, a perspective that appeals, for example, to psychology, pedagogy, economics, neurosciences, biology, sociology, medicine and so forth;
9) Last but not the least, children of tomorrow's schools need an educational environment that makes them citizens of the world.
Human health, as Stephen remarked, as an economic driver of the future and they really must learn more about the underlying factors of society not the ones given. Drivers of society are not necessarily political for example, it just appears to be.
When I was a boy my education was not necessarily at school but in the town library after school. It was there I found and read books my teachers believed I was incapable of understanding. Children I believe should have the freedom to find their own levels, with mainly fundamentals dealt with in schools.
I can follow you in your focus on reason. It suffices to say that, citing F. Goya the sleep of reason and the flight from science and reason often leads to monsters.
Even so, I think that an appropriate educational environment for school children' s of tomorrow should emphasize both reason or the the so called three Rs (reading, writing, and reasoning) but also emotion or the so called three Cs (care, concern and connection). As Pascal once remarked one's heart has reasons that one's reason doesn't understand. In other words, reason without emotion can be empty and emotion without reason can be blind. So an appropriate educational environment for school children's of tomorrow should aim at making children interested in the pursuit of the true, the good, and the beautiful,
I absolutely agree with Stephen I. Ternyik. Maybe I would add also the empathy and community work - emotional intelligence. Generally, probably more oriented to holistic education (not fragmeted one).