Mathematics education consists in the practice of teaching and learning mathematics, along with the associated research. Research in mathematics education concerns the tools, methods and approaches that facilitate the practice of mathematics or the study of this practice.
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3answers
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the role of logic in math and education
My question is somewhat related to this discussion:
Is Mathematics one big tautology?
I have a computer science background and I have always approached math from the logic point of view ...
2
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2answers
59 views
learning/teaching approach to rigorous math with the goal of improving
I will state this now: yes, this is a subjective question. But I feel the answers people give may benefit students.
I want to get better at doing non trivial proofs. Real analysis is standard ...
5
votes
0answers
18 views
Optimal partition for a riemann integral
I am a statistician tasked with teaching an elementary calculus course. I am about to teach Riemann sums. The breakpoints for the rectangles (the partition) that make up the Riemann sum need not be ...
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1answer
26 views
Chi square independence test
How to work out chi square independence in the following table?
Below is the observed and expected data concerning 7 themes displayed in a newspaper over a period of 3 months. I understand how to ...
5
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1answer
185 views
The Constant Function Theorem first of all $\,$?
I quote Thomas W.Tucker $\,$ "... By the way, I view the Constant Function Theorem as even more basic than the IFT. It would be nice to use it as our theoretical cornerstone, but I know of no way to ...
2
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0answers
151 views
These unknown uniformly differentiable functions
Let $f$ be defined on $[a,b]$ and there uniformly differentiable ($\,$the $\delta$ in the definition of derivative is independent of the point).
Given $\epsilon>0$, choose a partition $P \, : \, ...
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1answer
38 views
Turning an ellipse into a parabola
Today I was discussing circles, ellipses, hyperbolas, and parabolas in my precalculus class. We did the usual: completing the square, finding the center and radius (radii), etc. etc. But I like to ...
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0answers
107 views
High School maths across the world, which country is hardest? [closed]
I'm a student in the UK studying A level Mathematics and Further Mathematics who is interested in learning more about math(s) education across the globe.
The reason I ask is because to be honest, ...
2
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1answer
83 views
Explaining why we can't “find” an antiderivative of $f(t) = e^{t^2}$.
We can't find
$$
\int e^{t^2} \; dt
$$
using basic tools from a calculus class. That is, we can't express an antiderivative of $f(t) = e^{t^2}$ using the basic operations. We can of course just ...
22
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9answers
1k views
Is this way of teaching how to solve equations dangerous somehow?
Two years ago, I bought the book Mathematics for the Nonmathematican, by Morris Kline.
There I learned a new way of solving equations, which is related to the principle that states that any ...
2
votes
1answer
48 views
Complex division: polar form vs complex conjugate
The original problem
In an electricity course which I volunteered to help with, the students solve circuits using phasors. Using phasors requires a good knowledge of complex numbers arithmetics, ...
12
votes
4answers
292 views
Alternative set theories
This is a (soft!) question for students of set theory and their teachers.
OK: ZFC is the canonical set theory we all know and love. But what other, alternative set theories, should a serious student ...
2
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0answers
66 views
How does one visualize a function with a discontinuous second derivative?
Let us assume that all functions are continuous. I was teaching my calculus students the other day. We were talking about what points of non-differentiability look like. Two ways a function can fail ...
12
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1answer
115 views
Algebraic structures associated to flexagons?
Flexagons strike me as objects that would admit investigation in a first course in modern algebra. I'm surprised to be unable to find a reference discussing flexagons using modern algebra language. ...
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votes
3answers
190 views
Should I try to change the way Abstract Algebra is taught at my university? If so, how?
[This (soft) question should be Community Wiki.]
Background:
A year ago, I did a one-semester long course on Abstract Algebra at my university. When we started, I was excited, because I knew the ...
