At some point I was interested in learning to read and write proofs.
I did the "Introduction to Mathematical Thinking" MOOC from Keith Devlin. The curriculum is available as a book as well.
The class is basically how to write and read proofs for non-math majors. It starts pretty slow, but gets harder at some point. The number theory proofs were fun.
You 'got to' grade others proofs online, and they graded yours which was an interesting way to get familiar with reading and writing proofs.
I recommend it because instead of an area of math it focuses on what it means to prove something. And the teacher is pretty entertaining.
I did the "Introduction to Mathematical Thinking" MOOC from Keith Devlin. The curriculum is available as a book as well.
The class is basically how to write and read proofs for non-math majors. It starts pretty slow, but gets harder at some point. The number theory proofs were fun.
You 'got to' grade others proofs online, and they graded yours which was an interesting way to get familiar with reading and writing proofs.
I recommend it because instead of an area of math it focuses on what it means to prove something. And the teacher is pretty entertaining.
https://www.amazon.ca/Introduction-Mathematical-Thinking-Kei...
https://www.coursera.org/learn/mathematical-thinking