The principles could be applied to actual situations that is used in the real world. This is an excellent way to increase memory retention. Not only being told a concept but seeing a concept being applied to a real life problem solving situation would increase understanding and retention. This is an important theory of learning. I wish my math teachers had used algebra, trig, geometry ,etc. I NEVER knew why I was learning the math as a nursing student. I have never used any of it except ratios. Apply the learning subject to a real situation. Take them on a field trip to a construction site or engineering site to understand application of the formulas, etc. Then it would not be so 'theoretical, would it?
there is no easier way to learn Geometry
It is certainly possible to examine questions of geometry using the art of M.C. Escher, although this would be a very unusual means of approaching the subject. There is doubtlessly some advantage to doing it this way, since many people are bored by the more conventional approach to teaching geometry. Escher is interesting.
Get a good teacher who understands calculus and understands how to teach students in an interesting way (just like I had 50 years ago).
The way you teach students
The theoretical concept of relativity changed the way we understand the nature of space and time.
Aristotle considered geometry one of the most important sciences, and did some work with point and line planar geometry. He also used geometry as a way into sciences where he did more work, like optics and mechanics.
Dolphins have a interesting way of sleeping
It is not known. Euclid's Elements is famous for setting out geometry in a systematic and axiomatic way, his book was by no means the first on geometry.
Euclid
Euclid
When asked by King Ptolemy about an easier way to learn mathematics, it is claimed that Euclid told him that "There is no royal way to geometry".
Exactly in the same way as we use geometry today for their constructions of pyramids and land measurements.