The discussion centers around the use of proofs in Sheldon Axler's algebra and precalculus texts, with participants seeking recommendations for high school-level books that teach proof-writing outside of geometry. The scope includes educational resources and personal experiences with proof-based learning.
Participants express differing views on the availability and quality of high school-level proof resources, with no consensus on the best approach or specific texts. Some participants agree on the value of certain books, while others highlight the lack of focus on proofs in Axler's texts.
Participants mention personal experiences and preferences, indicating variability in the effectiveness of different texts for learning proofs. There is also an acknowledgment of the age of some recommended books, which may affect their availability and relevance.
Readers interested in high school mathematics education, proof-writing skills, and recommendations for foundational mathematics texts may find this discussion relevant.
This course does not focus much on proofs
I don't think there are 'high school level proof'. When I was in HS I trimmed through the Book of Proof. Then, I picked up a set theory book and worked through the various proofs (someone from PF suggested it) and it really was great. I can't say my proofwriting is perfect, but I know the basics well enough to work through Axler's LA and Abbott's Analysis in my first year of undergrad. Velleman also wrote a book on proofs but in my opinion, Book of Proof is straight up better.OceanSpring said:I'm looking for a book that teaches proofs at the high school level. Something other than a geometry text.