That works until calculus gets involved. (At least, I think that's what I'm realizing. I've been reading on the history of math to get a better grip on the quadrivium.) The quadrivium is significantly more integratabtle than the medievals realized. Which just means they were more right than they even knew.
Very interesting and helpful read on the Quadrivium; in my classical education, it seemed to, ironically, be less concretely established than the Trivium.
In the move from "participation to autonomy" we can see the trend for man to become unmoored from the tetherings of creatureliness. This has had devastating effects on our spirit. At the same time, I also wonder how this plays in to our call to be Vicegerants and our ability to tend the garden through faithful mastery (or husbandry). Might this be the right impetus but aimed at the wrong end or performed in the wrong framework?
I think that's exactly it. The impulse to usefulness (which is one of the four uses of a liberal arts education) just pushed out the three. So, we don't need to become less useful, we just need to rebuild the rest of the goals around it (contemplation of God, self-understanding, careful reasoning that gives freedom). So I think that's the right question.
Can you recommend some resources on the subject of modern math and physics in context of classical education? I am trying to work through integrating them into a classical curriculum, and any resources that deal with that topic would be helpful
Right now that's the same thing I'm working on! Fink's "A brief history of mathematics" from 1900 has been helpful. and The Development of Mathematics" By E.T. Bell from 1945 was helpful as well. seeing the history of math as a conversation is starting to give me some of the integration points.
They considered making me ride the short bus in elementary school. I read really late (2nd grade) and couldn't sit still long enough to start my work, let alone finish it. haha!
My simple explanation:
Arithmetic: Dimensionless/timeless. Geometry: Movement in Space. Music: Movement in Time. Astronomy: Spacetime.
That works until calculus gets involved. (At least, I think that's what I'm realizing. I've been reading on the history of math to get a better grip on the quadrivium.) The quadrivium is significantly more integratabtle than the medievals realized. Which just means they were more right than they even knew.
Very interesting and helpful read on the Quadrivium; in my classical education, it seemed to, ironically, be less concretely established than the Trivium.
In the move from "participation to autonomy" we can see the trend for man to become unmoored from the tetherings of creatureliness. This has had devastating effects on our spirit. At the same time, I also wonder how this plays in to our call to be Vicegerants and our ability to tend the garden through faithful mastery (or husbandry). Might this be the right impetus but aimed at the wrong end or performed in the wrong framework?
I think that's exactly it. The impulse to usefulness (which is one of the four uses of a liberal arts education) just pushed out the three. So, we don't need to become less useful, we just need to rebuild the rest of the goals around it (contemplation of God, self-understanding, careful reasoning that gives freedom). So I think that's the right question.
Can you recommend some resources on the subject of modern math and physics in context of classical education? I am trying to work through integrating them into a classical curriculum, and any resources that deal with that topic would be helpful
Right now that's the same thing I'm working on! Fink's "A brief history of mathematics" from 1900 has been helpful. and The Development of Mathematics" By E.T. Bell from 1945 was helpful as well. seeing the history of math as a conversation is starting to give me some of the integration points.
This article reminds of why I was almost held back one grade in elementary school.
They considered making me ride the short bus in elementary school. I read really late (2nd grade) and couldn't sit still long enough to start my work, let alone finish it. haha!