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.

3309 questions
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Euler's identity is 0 (Python)?

Today I'm trying to prove the Euler's identity which is $e^{i\pi}+1=0$ by Python. My code is as follows: euler = math.e pi = np.pi cos_pi = np.cos(pi) sin_pi = np.sin(pi) euler_id =…
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Is there a thorough published skills tree for mathematics?

UPDATE: There is no actual graph or tree which I have found, but for anyone looking there are some usable assets which are discussed here: Is there a tag/competence classification for mathematics education? ORIGINAL: I would like to find a good…
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How to evaluate the following prefix expression?

Can you please help in evaluating following prefix expression? Thank you. – ^ / + + 4 6 2 – 4 1 2 9
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What is an example simillar with $\#A+\#B=\#(A\cup B) + \#(A\cap B)$?

I already know simillar form of $\#A+\#B=\#(A\cup B) + \#(A\cap B)$ holds with finite dimensional $F$-vector spaces(not clear with infinite dimensional) like this form... $$ \dim V+\dim W=\dim(V+W)+\dim(V\cap W) $$ which is corollaty of Second…
MH.Lee
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More advanced (free) alternatives to Math3D or Geogebra

I teach vector calculus. I love both Math3D and Geogebra. But I have reached a limit in terms of what these programs can do. Some examples of features that I wish Math3D had: Draw vector fields with color or line weight representing magnitude,…
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What is expected from a Ph.D. student in pure mathematics?

Maybe this is a question that should be posted in Academia StackExchange, but since is a question about a Ph.D. in Pure Mathematics I think that people that work in mathematics will be able to give me a better answer, so I have decided to post it…
Gillyweeds
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Is there a rule or standard practice for the use of units?

Being physics trained, we would do a problem like this: $v=\frac{d}t$ $ =\frac{2 m}{4 s}$ $ =0.5 ms^{-1}$ Of course, being physics trained, we didn't always hold to the full conventions of mathematics. However, I am now being told to teach the…
Brendan
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More understandable explanation for Cat-Rabbit-Dog quiz

This is a quiz from Brilliant.org Algebra Fundamentals courses. Quiz: At Step 40, how many cats will there be in the 7th row? Answer: 14 Explanation given by Brilliant.org is not clear to me so if someone can give a better explanation it will be…
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Web 2.0 and mathematics for high school students

First of all, if this is not the right place to ask, I am sorry and just close this topic. I'm trying to introduce Web 2.0 into my Math class for teenagers in the range of 12-16 years old. I've thought of creating forums for problem solving and…
Nobita
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At what education level is this "simple" problem adequate?

Given the following problem: Alice, Bob and Carl stand on a straight line. Alice is one rod away from Bob. Dana stands one rod away from both Bob and Carl. Carl is as far from Alice as Alice is from Dana. How far can Alice be from…
fgrieu
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Why are variables typically given names like x in math?

Why do equations typically have variable names like x and y? In computer programming, we value meaningful names for variables. For example, if I were trying to calculate a square root, I would call the value I was trying to determine square_root,…
Nathan Long
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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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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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convert decimal 1024 to hexadecimal

I need to convert the decimal number 1024 to an hexadecimal number, I do this using these steps http://www.wikihow.com/Convert-from-Decimal-to-Hexadecimal#steps However, whenever I divide 1024 by 16 I get as result the integer 64, now I'm kind of…
xorinzor
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How do i show n + k is a integral multiple of 11

(the digits of a positive two digit integer N are interchanged to form a integer)I don't know what this question means so I'm clueless and what do i do to solve? please in steps so i can understand it thanks ahead of time
IQ78
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