Questions tagged [undergraduate-education]
For questions about teaching students at the undergraduate (university) level.
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Teaching students how to check the validity of their proofs
The question Teaching students to find and correct their own errors and its answers address mainly calculation problems of the types typically found in secondary school and the lower levels of ...
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Reading popular books in undergraduate math classes: Techniques, assignments, methods?
When I was a senior in high school taking calculus, my teacher assigned us the book Zero: Biography of a dangerous Idea by Charles Seife. I found it inspiring to learn about the class in a historical ...
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Is teaching how to solve recurrence relations using generating functions too much for a first year discrete maths course?
I'm teaching discrete mathematics at a local university (some lecturing but mainly tutorials), and as many of you probably know such courses are filled to the brim with content. There's logic, ...
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Examples of different languages with mathematically different names for concepts
Multilingual classroom
Having pupils of many different native languages, and many languages in general, has been getting quite common in Norwegian classrooms, too. In many other countries this has ...
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Truth tables. What does a truth valuation of a formula even mean?
What does a truth table even mean? Does anyone actually spell it out anywhere? (reference please). People feel like the are not taught rigorously like limits are.
Edit: What does it mean for a (non-...
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Which cognitive psychology findings are solid, that I can use to help my students?
I read recently on this site that the growth mindset seems not to be real. I did not know that (I admit that I don't follow research into learning as closely as I would like). Can I turn that ...
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How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?
I've been using ChatGPT (GPT-4) to help with creating quiz questions, solving math problems, and answering students' queries in my classes. Although it sometimes gets things wrong, with the right ...
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What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?
I am currently teaching a university-level linear algebra course and recently encountered an issue that made me question the assumed foundational math skills for students in this course. The issue ...
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What are the essential topics in undergraduate financial mathematics?
When I was an undergraduate 15 years ago I did not take any financial mathematics courses. Recently I was approached by an undergraduate, whose ultimate goal is to go into the financial sector, and he ...
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What is a corequisite course?
My department has eliminated its remedial mathematics courses and implemented a corequisite system.
I did not participate in the original design, so I found myself unable to understand the new system.
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A visualization for the quotient rule
Context: first year didactics of mathematics course for middle school teacher students (in Norway).
I have a reasonable visualization for the product rule of derivatives: Consider a rectangle with ...
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Is there a mathematics core assessment rubric?
Many universities in USA ask their faculty to perform a "core assessment" where they evaluate (typically) freshman students, near the end of semester, on their understanding of the courses ...
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Math tools for restructured lectures
We are in the process of restructuring our math lectures to a more modern style. For that we want to use some math tools to show students how math is done in a more current state. Our math is more ...
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How to assess students in real analysis?
Terence Tao says the following in the preface to his book Analysis I:
With regard to examinations for a course based on this text, I would recommend either an open-book, open-notes examination with ...
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Real-World Problems for Teaching Extrema and Derivative Tests in STEM Education
For educational purposes, I am seeking example problems in the realm of natural sciences, engineering, and business that satisfy the following criteria:
Consider a one-dimensional real function $f$ (...
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