Questions tagged [education]

For math questions related to the teaching and learning of mathematics. Note that Mathematics Educators Stack Exchange may be a better home for narrowly scoped questions on specific issues in mathematics education.

This tag is for questions that are primarily about mathematics, but are related to mathematics education. Also consider using the or the tag. On the other hand, questions that are primarily about teaching and learning mathematics would be a better fit for MathEducators.SE.

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How to understand commutative algebra

I'm trying to study commutative algebra, but i cannot understand totally the arguments. I'm afraid to study all mechanically. What can i do to solve this problem? I need some advice!! Thank you
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Learning a foreign language for math PhD

Many graduate programs in math require students to pass a foreign language exam in French, German, or Russian. Why is this so? Haven't the important mathematical works in these languages been translated into English already? I'm set on graduate…
user66020
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I'm halfway stuck solving an Integral derivation.

I apologize beforehand for my handwriting. I hope it is legible. I worked the problem on a piece of paper. Took a picture and attached it to this query. I wrote the problem starting with Page 1 and then continuing on Page 2. I know what the answer…
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What are the drawbacks of multiple-choice questions?

I can easily understand the advantage of multiple-choice questions for instance in grading and so. A drawback is that real life problem don't have multiple choice questions all the time for instance calculating a load or a balance of a real thing.…
Niklas Rosencrantz
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Meaning when a set has an accumulation point and its negation

Let $D'(a,r):=D(a,r)\setminus \{a\}$ be the punctured disc with centre $a\in \mathbb{C}$ and radius $r>0$. Let $A\subseteq \mathbb{C}$ be given. A point $a\in\mathbb{C}$ is called an accumulation point of $A$ if $$ \forall r>0:D'(a,r)\cap A\neq…
UnknownW
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Solving $x^x=y^y$

In the equation $x^x=y^y$, how do you solve for $y$ in terms of $x$ when $y$ is not $x$? There is a small curve in the first quadrant which is not $y=x$. graph: https://www.desmos.com/calculator/l1jempmhhg
user604253
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Mathematically-based online games

I am looking for online games or puzzles which have a mathematical flavor and are suitable for general audiences. A classical example is the online version of Set Card Game. Or this game that has some aspects of graphs. A related question.
Maesumi
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Understanding Mathematical Induction problems

I have problem to understand this 3 formulas, I am new in this type of problems. I have to solve this problems by induction. \begin{align} \sum_{j = 1}^{j = n} j^3 &= \left(\frac{n(n + 1)}{2}\right) ^ 2 &\text{where } n \geq 1 \\ \sum_{j = 1}^{j =…
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Educational gif-animations on mathematical analysis

I drew some simplified gif-animations by math. Do you think, they will help in the study of mathematics to people, who have difficulties with this?
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Is there a symbol to mean "$x$ fits completely $v$ times in $y$"?

Is there a simpler way to write "$x$ fits completely $v$ times in $y$," i.e. is there a mathematical symbol or way to write for example: "32 fits 0 times completely in 4" or for example "32 fits 1 time completely in 40" more compactly? Is there a…
litmus
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Soft question: solution strategies, how to attack the problem when using pen and paper?

Whenever I solve a problem (textbook or exams), I always copy key parts of the question to my paper where I'm doing my calculations, even though I have the problem in text-format right next to me on the desk. Recently I had a teacher who advised us…
litmus
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Proving two Dedekind cuts represent the same number.

Hey guys I have a quiz soon and I really dont know how to prove this question. I tried my best but it is not working. Please help out with anything or hints. Let $(A'_1, A'_2)$ be a Dedekind cut of ${\mathbb{Q}}$ that represents the same real number…
MathGeek
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What is a good motivation or analogy for the maximum likelihood estimation problem?

I am trying to think of a good motivation for maximum likelihood estimation. Given a set of random variables $X_1, \ldots, X_n \sim f_X(x_1, \ldots, x_n |\theta)$, the maxmum likelhood estimation problem finds $\theta$ that maximizes $f_X(x_1,…
Olórin
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Is It necessary to get a course in Algebraic Number Theory before grad studies?

I am in a predicament when deciding on classes for my graduating year of my undergrad next year. In first year I thought I wanted to be in physics so I didn't take proofs in second year, so it delayed me getting abstract algebra courses. This means…
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What do I need to learn, to understand Galois' solution of the quintic?

I studied maths to degree level many years ago, but never got a "gut feel" for any of the "pure maths" side, because the way it was taught didn't fit at all with how I learn. I focused on numerical analysis and methods instead. I understood the…
Stilez
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