The excessive focus on terminology precision is one of those
  "school things" that drives me nuts. Concepts are graspable when
  described _properly_ but memorizing terminology that's rather
  throw-away (unless one goes into the field) to me, is a bit of a
  waste of brain power. So goes my rant of school.

  THIS is how I would teach foci of an ellipse:

  Foci of an ellipse is the parts on the BOARD within the stretchy
  circle like thing where the edge of the triangle you make with
  the piece of string is centered around the middle of the
  ellipse, when the 3rd point is first on the edge of the stretchy
  circle thing.

  But that's my brain and how it works. I'd be teaching this shit
  in Kindergarten and getting it over with. I'd do it with
  colorful peg boards for the coordinate system, dealing with
  whole numbers, screw the fractions and decimal places and
  formulas. But I hate the 18th century language of mathematics.
  Ugh. You'd think there was some MAGIC in words and definitions
  as meaning anything beyond the concepts they represent.
  Dictionary worshippers. tongue emoticon[1]fig8

References

  Visible links
  1. http://icopiedyou.com/wp-content/uploads/2015/09/fig8.jpg

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