Froebel’s Gifts were meant to be given in a particular order, growing more complex over time and teaching different lessons about shape, structure and perception along the way. A soft knitted ball could be given to a child just six weeks old, followed by a wooden ball and then a cube, illustrating similarities and differences in shapes and materials. Then kids would get a cylinder (which combines elements of both the ball and the cube) and it would blow their little minds. Some objects were pierced by strings or rods so kids could spin them and see how one shapes morphs into another when set into motion. Later came cubes made up of smaller cubes and other hybrids, showing children how parts relate to a whole through deconstruction and reassembly.
These perception-oriented “Gifts” would then give way to construction-oriented “Occupations.” Kids would be told to build things out of materials like paper, string, wire, or little sticks and peas that could be connected and stacked into structures.
Imagine a circle that contains all of human knowledge.
By the time you finish elementary school, you know a little.
By the time you finish high school, you know a bit more.
With a bachelor's degree, you gain a specialty.
A master's degree deepens that specialty:
Reading research papers takes you to the edge of human knowledge.
Once you're at the boundary, you focus.
You push at the boundary for a few years.
Until one day, the boundary gives way.
And, that dent you've made is called a Ph.D..
Of course, the world looks different to you now.
So, don't forget the bigger picture.
Keep pushing.