128. How to Develop Mathematical & Geometric Intuition (3 Steps) ... OR ANY OTHER TYPE OF INTUITION

For maximum benefit, I highly recommend following this series, The Art of Math: A No-Nonsense Guide, in the order I designed it using this playlist:    • The Art of Math: A No-Nonsense Guide  

OUTLINE:

(1:23) How to Develop Mathematical Intuition: 3 Steps
How to Develop Geometric Intuition: Specific Underutilized & Underdeveloped Skills (a roadmap for some of the next few videos in the Art of Math series on this channel)

(4:15) THE DANGER of just getting more and more NEW INFORMATION w/o INTEGRATION

(5:22) EXAMPLE: Building Math/Geometry Intuition is SIMILAR to building any other intuition, such as that of BASKETBALL.

(8:19) Compare this video with Ido Portal's Movement Methodology: Isolation-Improvisation-Integration (pretty similar)

(10:12) Visualization

(11:50) Conceptual Questions

(12:59) Video #53 on Systems of Equations from a Conceptual standpoint:    • 53. Algebra: Systems of Linear Equati...  

(13:51) Examine Assumptions/Axioms (PLAY!)

(15:35) My very own "invention": ***WIGGLE METHOD***!!! (will be covered in a future video. Stay tuned!)

(16:27) Great Exercise to Improve in ANYTHING & EVERYTHING!

RESOURCES:
1. Nice write-up of how to develop mathematical intuition: https://betterexplained.com/articles/...

2. A nice place to start if you want to get a sense of some of the more basic geometry concepts as well as get some practice:: https://www.khanacademy.org/math/geom...

3. Might be worth a read as well: https://math.stackexchange.com/questi...

4. Nice visualization exercise with a cube: "Ways to cut a cube | Perimeter, area, and volume | Geometry | Khan Academy":    • Ways to cut a cube | Perimeter, area,...  

Enjoy!