I suspect the idea of the Trivium would apply to each maths area or concept, not the entire field of mathematics in one go. The idea being to make sure the basics are understood and known before you build more complicated concepts. Classical tradition taught Euclid, who did exactly that, for geometry building understanding up from the obvious through using reasoning/ logic to get a firm grasp of the more complicated concepts/ principles. In any case, medieval students usually learnt to read and count at " petty" school, before going to grammer school, where the main aim was to get them fluent at Latin, so they could understand lectures in any European University, where the main subjects were theology, law and medicine. Latin was needed even if not goung to Uni., in order to conduct conversations, such as business ones, with people who did not speak English. Algebra was still emerging and in fact didn't exist for most of the time of classical education. Calculus did not exist till 1600's. Grammer school students may have learnt some logic or rhetoric, for wise thinking, coherent communication, and debates, but studies in other areas, such as Euclidean maths ( Geometry being part of the Quadrivium) was usually not taught till University.
I was hoping to find a personal way of reviewing my self in geometry... But this was how we were taught geometry... So, goodbye... I'm not even hoping to be a teacher... Education is not for me... I am for math. I am for engineering. Not education... Because I finished a bachelor's degree in engineering, not education.
Really wonderful video. Excellent job, thanks!
@16:32 - this is pretty cool - I'm reliving 8th grade all over again in Junior College. Years later , I want to really understand math.
Fabulous video!! So happy I found your channel!
I suspect the idea of the Trivium would apply to each maths area or concept, not the entire field of mathematics in one go. The idea being to make sure the basics are understood and known before you build more complicated concepts. Classical tradition taught Euclid, who did exactly that, for geometry building understanding up from the obvious through using reasoning/ logic to get a firm grasp of the more complicated concepts/ principles.
In any case, medieval students usually learnt to read and count at " petty" school, before going to grammer school, where the main aim was to get them fluent at Latin, so they could understand lectures in any European University, where the main subjects were theology, law and medicine. Latin was needed even if not goung to Uni., in order to conduct conversations, such as business ones, with people who did not speak English. Algebra was still emerging and in fact didn't exist for most of the time of classical education. Calculus did not exist till 1600's. Grammer school students may have learnt some logic or rhetoric, for wise thinking, coherent communication, and debates, but studies in other areas, such as Euclidean maths ( Geometry being part of the Quadrivium) was usually not taught till University.
I was hoping to find a personal way of reviewing my self in geometry...
But this was how we were taught geometry...
So, goodbye...
I'm not even hoping to be a teacher...
Education is not for me...
I am for math.
I am for engineering.
Not education...
Because I finished a bachelor's degree in engineering, not education.
😂😂😂
@@rucellegarciano4105I promise you, no one cares.