# Questions tagged [education]

For 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.

2,504 questions
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### A is x% more than B

I am taking the AMC10 test, and I don’t want to lose points on silly misunderstandings. When a question says “A is x% greater/less than B”, or things like that sometimes with money, which respect ...
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### What is the name of this notation for sum?

In my kid's school (age 6) they are using a variation of cuisenaire rods to learn mathematics. When they are doing the operations on paper the notation used is this one:, it's designed to ressemble ...
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### Symbolic statement that represents the circuit

im over here a tad bit confused. Ive been asked to write a symbolic statement that represents the circuit in this picture. Circut Image Problem is I don't understand how. I've searched this on ...
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### Difference between the equation inequalities and absolute value inequalities

Using symbol lab I put this in $|x+4|\le |2x+10|$ and the answer I get is $x \le -6$ or $x\ge -14/3$, but when I manually worked out it was $\;x \ge -6\;$ or $\;x\ge -14/3$. My working out is in the ...
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### STA 3033 - Tchebysheff’s theorem

I'm learning how to apply the theorem and I saw the example below and I'm not sure if that person got it wrong or it's just like that: The time that takes to complete a certain type of construction ...
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### Building a function out of a given domain and range

How does one build a function while given domain and range ? For example, the domain $(0,5]$ and range $[0, \infty)$
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### Help finding a math tutoring webinar

So, in addition to teaching I do some college math tutoring on the side, and my employer wants me to find and watch an online seminar of roughly one hour in length as part of my "professional ...
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### What is the difference between AP Calculus and Calculus ? Calculus is a mat. analysis?

I study myself and study math in English. Khan Academy is my main resource in the development of mathematics, but there courses are made on the American system. I do not know how the AP Calculus of ...
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### Percentage Probability of Products when Multiplying 2d10

This is my first post to any Stack Exchange, so I only think I know what I'm doing. In short, my objective is to design a math game for my elementary students to practice multiplication facts (math ...
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### Arc length of a Polar curve as a Riemann sum

Suppose we have a curve in polar plane satisfying the equation $r=f(\theta)$ with $\theta\in[a,b].$ To find the area enclosed by this curve in this range of $\theta$ using Riemann integrals, we ...
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### Symmetry of a planar system and product of inertia

I read the following sentence here: "The products of inertia occupy the off-diagonal positions and measure the asymmetry of the mass distribution with respect to the planes of the inertia frame of ...
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### Which terms are used in context to mathematical proofs? [duplicate]

There are many specific terms that are mostly only used in mathematical papers, e.g. Axiom, Lemma, Postulate, Definition (I know that it is used quite frequently in other domains), Proposition, ...
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Here, I am trying to collect as many "I wish I had read that textbook first" textbook names as possible, for as many different topics in mathematics as possible. The "I wish I had read that textbook ...
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### Simple and short true-false tasks regarding Precalculus

Here are few of the questions from the previous years' exams. I've chosen the ones I'm not sure about. It's a simple TRUE/FALSE task. Would anyone be able to verify my solution? Some of my answers are ...
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### Velocity of a point expressed by using rotation matrix between two reference frames

I'm trying to express the velocity of a point P by using a rotation matrix between two reference frames (see attached file please). Notation: the vertical bar with $O_1$ or $O_2$ means that the ...
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### General Mathematical Consensus for Standardized Tests: Log(x) assumed to be base $e$?

Recently, I took a higher level mathematics exam. When I took it, I held the notion that $log(x)$ was assumed to be base ten and natural logarithms were assumed to be $e$. Come to find out in the ...
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### Relationship between inverse function, origin function and its domain - with an example

I am having problem with proper math-fashioned style of solving this task. It's task from my exam and apparently I didn't do well enough to get 2.5 out of 5 points. Find inverse function $f^{-1}$to ...
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### Which tricks do people use to introduce rigor into identities like $(x^2)'=2x$?

The "school identities with derivatives", like $$(x^2)'=2x$$ are not identities in the normal sense, since they do not admint substitutions. For example if we insert $1$ instead of $x$ into the ...
### Let $A\subseteq B\subseteq \mathbb{R}$. Suppose that $\vert A \vert = \vert B \vert$. [closed]
Let $A\subseteq B\subseteq \mathbb{R}$. Suppose that $\vert A \vert = \vert B \vert$ (i.e., $A$ and $B$ have the same cardinality). It does not follow that $A = B$. 1.) Give a counterexample to show ...