# 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.

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### What is the probability that a rod broken into three pieces forms a right angled triangle? [closed]

Let the rod be cut at $x$ and $y$. So the three pieces are $x$, $y$ and $l-(x+y)$. What is the probability that the three pieces form a right angled triangle?
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### Graphic understanding of derivative

I'm about to teach some basics of Math and Phyisics to someone who studied Law and now want to start a Medicine Major. I'm a Phyisics student and I already got some good approaches for every topic, ...
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### Prove that triangle $\triangle ABC \cong \triangle G H I$ . Explain each step.

My question: Prove that triangle $\triangle ABC \cong \triangle G H I$ . Explain each step. Here are my triangles I proved that $\triangle ABC \cong\triangle DEF$ because the first sign of ...
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### How do I Find Preparatory Exposure?

I always prefer to be prepared ahead of time, but I am not sure of how to be for a career in mathematics. How do I immerse myself in a formal, mathematical environment without necessarily enrolling in ...
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### Is it a bad idea to use visualizations in studying linear algebra? [closed]

many concepts in linear algebra are explained using visualizations. However, many practical applications of linear algebra use spaces whose dimension is larger than 3 which you cannot visualize. When ...
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### Best way to spend three months before entering masters program: Review fundamentals, or pre-study topics in the program?

Recently I got an offer letter for a master program (with courses like algebraic topology, algebraic geometry (first chapter of Hartshorne), differential geometry, representation theory, etc... ). Now ...
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### What would be good foundations in order to approach manifolds considering an engineering formation?

I am currently studying control engineering on a sort of graduate level (mostly on my own). However every book on the area mentions certain subjects or areas of mathematics (particularly manifolds and ...
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### Find a and b given $(3x + 2)$ and $(x - 2)$ are factors of $6x^3 + ax^2 - 4ax + b$. [closed]

$(3x + 2)$ and $(x - 2)$ are factors of $6x^3 + ax^2 - 4ax + b$. Find a and b.
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### Why does Mathematics have no generally accepted definition?

I searched for the definition of Mathematics I found one definition on Wikipedia: Mathematics includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and ...
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### Synthetic proof of the equation of hyperbola [duplicate]

Is there synthetic proof of the equation of hyperbola using this definition: A hyperbola is the set of all points in a plane such that the difference of the distances from two fixed points (foci) is ...
24 views

### Sets, subsets and Cartesian product.

I am studying computer science and I have Maths exam soon. While solving past exam papers, I encountered with a sets question and couldn't solve. It consists of two parts (a) and (b) and couldn't ...
I have seen formal proof of the product rule ($(f(x)g(x))' = f'(x)g(x) + f(x)g'(x)$) and one with rectangles and areas - explanation seems reasonable. But, is there direct and intuitive proof using ...