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For questions about teaching students at the undergraduate (university) level.
1
vote
Developing abductive (problem-solving) skills
I believe an appropriate strategy that will help students achieve the goals you state is inquiry based learning (IBL) (in math, and ideally, other subjects, as well).
Outcomes were evaluated in this …
9
votes
How to get better at proofs
A great start to doing proofs is working through Daniel Velleman's How to Prove it: A Structured Approach, 2nd Edition.. I've used it many times in teaching, usually as a supplementary text.
20
votes
Accepted
How should students say in words the notation for a limit?
According to UCAR-10101: Handbook for Spoken Mathematics, Lawrence A. Chang, Ph.D., page 38, a source for how to speak mathematics to sight-impaired students, we have:
$$\lim_{x\to a} y = b$$ is spok …
1
vote
Good textbooks for a college Basic Geometry course?
I really fell "in love" with "Elementary Geometry from an Advanced Standpoint" by Edwin E. Moise when I have taught undergraduate geometry. Many of the students, but not all, have been secondary math …
3
votes
MacLane-Birkhoff's "Algebra" vs Jacobson's "Basic Algebra I,II" vs Lang's "Algebra"
Search [mathematics.se] using the (reference-request) tag, and the (abstract-algebra) tag. There have been a number of posts, from students at various levels of study in abstract algebra, seeking tex …
6
votes
How can I learn to write better questions to test for conceptual understanding?
I agree with @BrendanW.Sullivan's comment. That is, when teaching an undergraduate course, like calculus, students need more than procedural knowledge. For a deeper understanding, and efforts to eva …
6
votes
College undergraduate geometry courses
I taught a geometry course which counted both for math majors (sophomore level), and was required for the math education program secondary education teacher majors, and we used the text:
Edwin Moise: …