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.
3,356 questions
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Double negatives in hypothesis test conclusions
I am grading hypothesis tests for an introductory statistics class and students occasionally give the following conclusion after rejecting the null hypothesis:
Since $H_0$ is rejected, there is not ...
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Would there be purpose of goal of setting equations? [closed]
If there is a equation denoted like so,
$${\displaystyle x^{5}-3x+1=0}$$
Negelecting the meaning of this equation or solving it, would there be historical background equations were adopted or could ...
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What's the easiest way to help a high schooler understand how to avoid the trap of extraneous and missing solutions?
There are many traps that involve inequalities and equations that I feel like I have internalized by myself, but my high school son really struggles to understand.
Is there some simple rules that can ...
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Polynomial GCD convention for over $\Bbb Z$ vs. over $\Bbb Q$
This year, I have been assigned to teach a very particular second-year class of 14/15-year-old students, of an high secondary school.
In an entrance test, when you want to calculate the $\operatorname{...
- 8,896
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Teaching a differential equations course to Physics majors
Next semester (over a 6-month period), I will be teaching the course “MAT203: Linear Algebra and Ordinary Differential Equations” for physics majors (they already have some basics in linear algebra).
...
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Prove $0.6\dot{1}\dot{2} = \frac{101}{165}$ [closed]
For those who wants a bit background, this is a proof question for international GCSE paper, for students aged 14-16.
This is what the candidate has written.
Obviously, it is NOT the usual method we ...
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De Finetti diagram applied to random based genetic phenomena - projections and geometry
I am preparing a class that studies De Finetti diagrams, in the context of random based genetic phenomena.
The below De Finetti diagram shows genotypes frequencies ($p(AA), p(aa)$ and $p(Aa)$) and ...
- 1,369
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Distinguishing between the two definitions of "quotient" in arithmetic [closed]
I am trying to explain to an 8-year-old girl the difference between two versions of division in arithmetic. For example,
\begin{equation*}
\frac{11}{4} = 2.75
\end{equation*}
and we say that $2.75$ is ...
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Mathematics courses by Tom Lehrer [closed]
The (now late) Tom Lehrer was well known to be trained as a mathematician. As also well known and explained on his wikipedia page and all his obituaries, he taught mathematics throughout his life in ...
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What should I do if I can't do many exercises when self studying?
I'm currently self-studying functional analysis. My general approach is to read each chapter, make sure I understand all the definitions, and carefully follow every proof. I usually manage this part ...
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Simple rules that generate complexity
I'm planning a low-level classroom presentation on the theme of "simple rules that generate complexity". Any ideas?
The one I already have is Pascal's triangle mod 2 (i.e., with entries in $\...
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How many distinct odd numbers $abcdefghi$ made from $1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9$, such that $d+e+f=10$?
How many distinct odd numbers $abcdefghi$ made from $1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9$, such that $d+e+f=10$?
Note that $abcdefghi$ each letter represents a digit, not as a multiplication of ...
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A structured map of mathematics? [closed]
This question is a bit of a deviation from the usual questions on MSE. It's a question about mathematics itself.
In my understanding, the way most of us learn mathematics under the traditional ...
- 312
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Distributing brackets when working with factorials
I've recently been asked why $$(n-r)!\ne (n-r)\Big(n-[r-1]\Big)!=(n-r)\Big(n-r+1\Big)!\tag{a}$$
I gave a simple example to show $(\mathrm{a})$ for the case that $n=5, r=3$;
The LHS of $(\mathrm{a})$ ...
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Optimal Worker Allocation Problem: Minimizing Completion Time with Unidirectional Movement and Unknown Worker Speeds
Hello fellow mathematics enthusiasts,
As a university student, I've been exploring an optimization problem with potential applications in manufacturing and workflow management:
Consider a workflow ...
