All Questions
Tagged with precalculus mathematical-pedagogy
9 questions
5
votes
4
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431
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Educational resources commonly address slant asymptotes. Why not general polynomial asymptotes?
Back in 2018, I wrote a post about asymptotes of rational functions in which I addressed not only horizontal and slant/oblique asymptotes, but also the general case of "polynomial asymptotes.&...
4
votes
2
answers
428
views
Enlighten younger students about the concept of "procedural justice" in mathematics?
I am tutoring a 16-year-old student from my home country (in Asia) in, roughly speaking, precalculus. I would like to give him a feeling of procedural justice, so to speak, in modern mathematics, ...
8
votes
4
answers
819
views
A more rigorous approach to Precalculus
I am a pure mathematics PhD student and graduate teaching assistant at a major state university. During the summers here, teaching assistants are typically appointed to teach an entire course, rather ...
5
votes
3
answers
570
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When discussing inverse functions, how can our notation and methods reinforce student understanding?
Yesterday in my precalculus class, I decided to teach students how to find the formula for an inverse function in a new way (to me).
In this curriculum, they have already used the notation $f^{-1}(x)$...
6
votes
2
answers
476
views
How can I improve my problem solving/critical thinking skills and learn higher math?
I'm a rising sophomore in high school. So far, I've taken Algebra One, Two, and Geometry in school. I want to learn higher math such as precalculus/trigonometry, calculus, linear algebra, and more, so ...
8
votes
1
answer
195
views
How can I deal with the time pressure of teaching a short course?
I am an undergraduate applied math student. In about a month, I will be teaching two nine-hour math courses (one precalculus, one calculus) to a small group of motivated high school students. My broad ...
4
votes
4
answers
2k
views
How are the basic trigonometric functions introduced to students?
The fundamental trigonometric functions $\sin(x)$ and $\cos(x)$ are used throughout the sciences, but I believe students are often introduced to a very limited initial understanding where it is ...
8
votes
2
answers
213
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Can a constructivist learning model be applied to online lower division math courses?
I'm using the word constructivist as it is used in this paper, not in the sense used in logic. The abstract should be sufficient to understand at least roughly what the model is. The important part, ...
3
votes
1
answer
366
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I want to learn math from the beginning [closed]
I finished high school 2 years ago and now I'm stuck in a university in Turkey. I am interested in learning precalculus, discrete mathematics, physics and chemistry.
Question: I need to learn math ...