I have a beautiful, talented daughter who loves languages. She is fluent in Spanish and loves to write, write, and write. To my chagrin, she always struggled in math, especially in high school, until she got to Geometry. Her math grade changed from a disappointing (let's just say she passed Algebra) to an A. She thought Geometry was wonderful!!
I enjoy teaching Geometry because there are so many concrete ways to show the students what you mean. For instance, when introducing angles, (before using protractors) I use my fingers, coffee filters (when ironed, they make a perfect circle), interlocking plastic plates, the clock, etc. to demonstrate what the various angles look like. Here is an example of what I mean.
To introduce right angle, I have the students fold a coffee filter (which is ironed flat) into fourths, and we use that angle to locate right angles all around the room. We discuss the importance of a right angle in architecture, and what would happen if a right angle didn’t exist.
We then use an analog clock to discover what time represents a right angle. Right away, they respond with 3:00 or 9:00. Some will say 3:30, but when I display 3:30 on a Judy clock (comes in handy even on the college level), they see that the hour hand is not directly on the three which means it is not a 90 degree angle.