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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.

3
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2answers
48 views

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 ...
0
votes
3answers
49 views

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 ...
0
votes
1answer
19 views

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 ...
0
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3answers
31 views

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 ...
1
vote
0answers
52 views

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 ...
3
votes
3answers
48 views

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 $[0, \infty)$
0
votes
1answer
18 views

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 ...
0
votes
1answer
67 views

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 ...
2
votes
2answers
78 views

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 ...
4
votes
0answers
94 views

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 ...
0
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0answers
19 views

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 ...
0
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0answers
15 views

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, ...
7
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2answers
162 views

The “I wish I had read that first” textbook list

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 ...
0
votes
1answer
64 views

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 ...
0
votes
0answers
36 views

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 ...
0
votes
1answer
26 views

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 ...
1
vote
0answers
35 views

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 ...
1
vote
4answers
230 views

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 ...
-1
votes
2answers
44 views

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 ...
0
votes
1answer
16 views

Standard form of a linear equation

I am teaching a class on “intermediate algebra” and I noticed that there are two definitions for the standard form of a linear equation in two variables $x$ and $y$ in the textbook that I am using. $...
0
votes
3answers
81 views

Math puzzles suitable for printing on a mug

I need to design a cup for a reception for first-year college students and i'm searching for some challenging and entertaining math puzzle or game to use. Previous years it has been used the "Three ...
1
vote
1answer
79 views

Html5 Math Applets. Interactive free online

I was an aficionado at collecting links from websites with math java applets that allowed interaction to learn mathematical concepts visually and interactively. My favorite was http://www.ies-math.com/...
0
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3answers
37 views

Area of a right trapezoid with bases $15$ and $8$, and height $9$

I can't figure out how they got that. I got 1080, they got 103.5. How???
1
vote
0answers
90 views

Self-studying with textbooks [closed]

I'm an undergraduate self-studying mathematics. I was wondering about which was the most efficient way to study with textbooks. For example, I'm using a textbook (about measure theory and lebuesgue ...
2
votes
1answer
234 views

Sixth grade math (number related) problem

We have this statement (about rational numbers, btw): If $m-n+p = p$ and $ m \neq n \neq 0$ then $ m = -n$ Is this true? a) always b) never c) sometimes The given answer is b) but: ...
0
votes
1answer
44 views

Combinatorics, number theory, and graph theory, in what order should they be learnt?

Combinatorics, number theory, and graph theory, in what order should they be learnt? I would like to learn discrete math; these are the three main branches that compose it. I was wondering if there's ...
0
votes
0answers
39 views

If any alternative numbering systems exist that simplify thinking about arbitrary numbers [duplicate]

In modern Western culture we think of numbers typically in base 10. By "we" I mean the vast majority of the public. For some reason this is easy, and I'm not sure why or how to pinpoint it down to ...
3
votes
3answers
78 views

What are some applications of mathematics whose objectives are not computations?

In mathematics education, sometimes a teacher may stress that mathematics is not all about computations (and this is probably the main reason why so many people think that plane geometry shall not be ...
0
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0answers
24 views

Curvilinear abscissa = radius * angle - Circular motion

I would like to understand why: $$ s(t) = r \, \theta(t) $$ where $s$ is the curvilinear abscissa, $r$ the radius and $\theta$ the angle in circular motion. Thank you for your time.
0
votes
0answers
105 views

How do I solve $\int_0^1 \frac {\ln \frac {x^2 + \sqrt 3 x +1} {x^2 - \sqrt 3 x + 1}} x dx$? [duplicate]

I don’t know how to solve this integral. Can someone give me a step-by-step solution to this, explaining how to get to the exact result, please? PS: The answers given in the other question may not ...
6
votes
5answers
569 views

Famous businessman mathematical puzzle ${}{}$ [closed]

question: A Businessman advertised two job openings for peons in his firm. Two men applied and the businessman decided to engage both of them. He offered them salary of $2000$ rupees per year. $1000$...
0
votes
2answers
30 views

Symbol for “take the positive solution of this formula”

I got a formula: x=√(((−2*aks)/(r*(s-k)*v))) Notice it is all wrapped inside a square root. When taking the square root, there are to possible outcomes as we all know. How do I denote that one ...
1
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0answers
17 views

hypothesis testing and confidence interval for a population proportion

I'm trying to understand why a basic undergraduate intro to statistics still uses the normal approximation to do hypothesis tests for population proportions. It used to be that the computations were ...
0
votes
0answers
43 views

The bare basics of linear algebra for multidimensional analysis?

As part of the first quarter of a very fast-paced undergraduate analysis course at my university, we had to learn linear algebra by ourselves from Sergei Treil's Linear Algebra Done Wrong (we did ...
0
votes
0answers
49 views

Measure of Improvement in Math Skills from Remediation with ALEKS

I am analyzing some data on ALEKS for my home institution. Specifically, I am analyzing placement scores for ALEKS where the students are allowed to take the placement test multiple times and are ...
7
votes
1answer
149 views

How to move forward in Mathematics Studies with poor foundation

So I discovered halfway through my first year university math term that my foundation of mathematics is very poor. I would memorize stuff rather than understand it and still get 95+ in high school so ...
0
votes
0answers
38 views

From direction cosine matrix to Cardan angles - Two different Matlab codes, different results

I have two Matlab codes to get the Cardan angles (ZXY sequence) starting from a given direction cosine matrix (dcm), but the results are different. Why? The dcm is: ...
0
votes
1answer
16 views

prevent time collision in N Course initiation for M Student

Hypothesis: we have n courses and m students. we decide to initiate a sample course program named ...
1
vote
0answers
47 views

List of mathematical notations - International convention [duplicate]

I'm wondering if exist a list of mathematical notations accepted internationally (book, handbook, textbook etc.). I tried to search online, but without success.
1
vote
2answers
39 views

Proof related to vectors: collinear points, position vectors

I'm wondering if the following sentence is correct: "Given 3 collinear points (A,B,C) and the relative distances (m and n), the position vector OC of the central point is mOA+nOB." EDIT: mAB+nAB=AB -...
2
votes
3answers
292 views

A path to mathematical proficiency

I have been looking for a new hobby and I have chosen mathematics. I was wondering what the path would be to self-teach (books, online courses/videos...free preferred) oneself to go from basic ...
0
votes
2answers
123 views

How do you like to take / store math notes?

I always have difficulty with things like this but how do you like to take and store notes for later reference? Paper and pencil? Physical books? Online notes? Where do you like to write them / ...
2
votes
1answer
187 views

Self-Teaching from Big Rudin

first post here so sorry if this question is answered somewhere, but I couldn't find it. I'll start with some background before the question: I've recently completed an undergraduate math degree, ...
1
vote
1answer
49 views

Theory of drawing (multivariable) functions (I am new)

My question is a bit different. When is it possible to draw a function? E.g a 4-dimensional vector space is no more imaginable. If we a function from $\mathbb R^2$ to $\mathbb R$, we can draw it 3- ...
3
votes
1answer
98 views

How to think about decimal exponents

I don't know if this is the right place to ask a question about middle school-level math, but I'll give it a shot. I don't have the background to fully understand related questions (like How to ...
0
votes
0answers
25 views

Difference between coordinate system and reference frame

I'm wondering what is the difference between coordinate system and reference frame. Maybe a reference frame is something physical (e.g. a rigid body), instead a coordinate frame is something ...
2
votes
0answers
44 views

What courses should I take in my Masters for PhD in mathematics - artificial intelligence? [closed]

I am currently enrolled in a masters programme in mathematics and I am taking mostly courses in mathematical statistics, but also dynamical systems and analysis. And I'm wondering if I want to go ...
0
votes
1answer
39 views

What to teach in a 20 minutes class about affine functions to middle school students?

Tomorrow I have to teach about affine functions ($f(x)=ax+b$) during 20 minutes. I want to know if someone has a suggestion what things I should teach. I want to make this into something interesting, ...
3
votes
2answers
169 views

Should we use “pythonic” indexing when teaching about permutations

When teaching abstract algebra for undergrads, I taught them that there is a permutation group $S(A)$ of automorphisms on any set $A$, and then defined the group $S_n$ to be the group of permutations ...
1
vote
0answers
73 views

Finite Horizon Dynamic programming optimization (consumption-savings problem)

I am trying to solve this finite horizon dynamic problem (consumption-savings) using backward induction. Maximize $\sum_{t=0}^{T}u(c_{t})$ subject to $w_{0}>0, c\in [0,w],w(t+1)=(w_{t}-c_{t})(1+...