My child is taking honors geometry in high school this year and the teacher is starting them off with proofs with is great, however this being their first introduction to proofs it needs to be done right.
The school is using Geometry for Enjoyment and Challenge which I find disturbing in its introduction to theorems and proofs.
The book gives the following for Theorem Procedure:
- We present a theorem or theorems.
- We prove the theorem(s).
- We use the theorems to help prove sample problems.
- You are then given the challenge of using the theorems to prove homework problems. Theorems will save you much time if you learn them and use them.
Then it goes right into giving two proofs, followed by six sentences, one of which is
Remember the purpose of a theorem is to shorten your work.
followed by two sample problems and then the set of problems.
The book does not even define definition, hypothesis or conclusion until 17 pages latter.
When my child took algebra we reviewed about twenty books for supplemental reading and my child found A-plus notes for Algebra to be their favorite additional resource, but sadly Rong Yang did not do a book for geometry.
Needless to say as a parent I am striving to do better for my child than this. As such, I searched Amazon and online for books and papers that can introduce a high school student taking geometry to proofs for geometry, and came up with a few items but nothing that hit the nail on the head.
Any references to books or papers either on-line or that can be purchased is welcome. I do ask that any recommendation made were used by a high school student for learning proofs for geometry and that the student found the information useful.