Programs What Are the Next Steps for a Math Major Uncertain About Grad School?

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The discussion centers on a senior Math major who initially planned to double major in Math and Physics and pursue a PhD in Cosmology. After a summer research internship, she has reconsidered her path due to her dislike for extensive computer programming and the solitary nature of research in physics. She is now contemplating completing her Math major with a Physics minor and not extending her studies. Despite her strong tutoring skills and enjoyment of undergraduate math, she is uncertain about pursuing a PhD in Math or the prospects of teaching high school math. The conversation highlights her dilemma of wanting a dynamic work environment with varied problem-solving opportunities rather than long-term research projects. Options discussed include teaching at the high school level, which typically requires an undergraduate degree in Mathematics and additional certification, leveraging her tutoring experience as a strong foundation for a teaching career.
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My girlfriend is a senior Math major with a 3.55-3.6 gpa. She was planning on going an extra year as an undergrad to Double Major in Math and Physics and go on to get her PhD in Cosmology or Physics. Although after a summer research internship she does want to do that anymore. She had to do a lot of computer programming and that's not her thing. She feels that as a physics professor, research consists of sitting at a computer all day, working on the same problem for a year or more, and not making really big breakthroughs, and she can't stand it.

So now she might just complete her math major and get a physics minor and not go the extra year. I should also point out she has been working as a Math tutor for years at the university and is very good at it.

So she is at a dilemma of where to go from there. She likes undergraduate math and could make a good college math teacher, but is turned off by graduate level math and doesn't know if she could persevere to get a Math phd. She is also unsure of prospects of teaching high school level math and how to get certified for that.

So in a nutshell she is a good problem solver, a good teacher, can survive an extremely heavy workload, and likes undergrad math. She wants to stay busy with many different problems that can be solved in days rather than years. She is considering many different options, even thought about med school. Recommendations?
 
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She might like teaching in a private or public high school, depending on if she can maintain her knowledge and skills. An undergraduate degree in Mathematics is usually enough, aside from other standard tests, to become a high school teacher (also subject matter tests, acceptance into a credential program, certain other combinations of coursework along with your major concentration). She already has tutoring experience, so that would give her potentially a strong start.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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