# Tagged Questions

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.

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### How to find similarity ratio?

Helllo, I am not very good in math and I have simple question My question is: say I have 2 groups (A and B), where A has 17 pens (for example) and B has 13 pens. If 12 pens were the same from A and ...
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### Geometric False Result Based on SSA Congruence Criterion for Triangles

I'm writing an article to warn students not to use SSA (Side-Side-Angle) criterion to prove congruence between two triangles. I'd like to add to the article an example of a geometric fallacy based on ...
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### Should one always perform logical reasoning intuitively and contentually?

I have been studying mathematics for more than a year now. In general, it's relatively easy for me to solve the exercises and to find proofs for certain propositions myself. In this sense, I would say ...
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### Conversion of Excel formula back to written Formula…if possible!

I turn to you as a last resort, in the hope that you will forgive my Maths ignorance and help me with what may be a simple problem. Essentially, this involves converting an excel formula to written ...
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### what are the number of ways to select a 4 digit number with a 3 digit number always included? [closed]

Number of ways to select 4 digit number( X X X X ) should have three digit number ( say 1 2 3 ) It should be in same order.
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### Does anyone know a no-nonsense intro to “logic for mathematics” that I can give to a Year 11 student?

I'm looking for material on propositional and first-order logic to give to a Year 11 student that explains how they're used "in practice." For example, I want to be able to write the null-factor law ...
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### Plotting triangles based on a single point with distance and angle.

I'm tasked with creating an arrowhead within a pdf program. I have a single point with at $x=5.6$, $y=4$ this would be point A of my triangle I want to make the sides equal at $90$ degrees angles ...
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### How can I make separate sentences or paragraphs? [migrated]

Hello I am new to Stackexchange and I'm trying to learn how to make separate sentences, paragraphs and to write proper math script. So, everytime I try to make a paragraph or separate 2 sentences ...
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### Long Division and why we need it? [closed]

Why do we still teach Children Long Division when we'll never use it in life? Whats the point of all that stress vs a few strokes of a calculator?
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### Applied mathematics job [closed]

I am on course applied math and I don't understand where can i find job by my education. Our teachers got their long time ago and others just working as teacher. My question: "Is there are opportunity'...
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### Geometry and trigonometry Courses [closed]

I have recently finished my higher maths in Scotland which is equivalent to A-Level maths in the uk or APs in the USA (I think). I want to concentrate fully on geometry and trigonometry so I don't ...
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### Integer solution to the equation below

I wanted to know integer solutions to the equation (1/k1) + (10/k2) + (100/k3) + ..... + (10^18/k19) = 1 (where k1,k2,k3.... are integers) which I believe is ...
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### Proving the concurrency of angle bisectors in a triangle analytically

I'm taking a course at teaching and we have some geometry questions. Among the questions there was one I couldn't solve. I'm trying to prove that angle bisectors in a triangle intersect at a single ...
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### Change the intersection's points of a paraola

I have the parabola $$y=-10\cdot x^2+10$$ I want to obtain a parabola which passes in $(-10^{-6},0);(10^{-6},0);(0,10)$. Is it possible to write the equation modifying the above equation? Thank ...
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### how can i now position my character set in Pi?

i have characters (10 numerals) how can i count position number of beginning my collection in PI like ...
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### How do I accept that math is hard? [closed]

Ever since I began studying mathematics, there were times where I really enjoyed doing so, and then there were times where I didn't enjoy it at all and simply wanted to quit. I guess everyone knows ...
520 views

### Re-write a quadratic equation in another form?

$x^2 + \sqrt{2}x = \frac{1}{2}$ I need to find the real solutions for this equation and write it in this form: $$\frac{-\sqrt{A} \pm B}{C}$$ So when I work the problem out with the quadratic ...
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### Do people with average intelligence stand a chance making a tenure track math professorship at a research university? [closed]

I am interested in math and have been thinking about going for grad school and becoming a research professor since graduating from college. However, a few things that happened recently really make me ...
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### How to explain to a school kid that on a sphere the shortest path between 2 points is given by a great circle?

I will be teaching some "topology" to high school students. I was wondering how to explain to such a school student that on a sphere the shortest path between 2 points is given by a great circle? ...
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### Roman Numbers - Conversion to decimal number

I have read that if a smaller number is to the left of a larger number means that the smaller number has to be subtracted from the larger number. Ok I can understand quickly for below Roman Numbers : ...
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### How to create a counter example of a matrix with non orthogonal eigenvector?

I am trying to understand this orthogonal eigenvectors $$T = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}$$ let u ...
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### How to find equation of a sphere

i'm having difficulty to find equation of a sphere in Mathematica. I already found the radius and center. ...
126 views

### The case for L'Hôpital's rule?

While this may seem very subjective — and, admittedly, my own dislike of L'Hôpital's rule is not entirely devoid of subjectivity — I am looking here for argumented, factual answers. From what I ...
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### Studying mathematics as an Undergraduate [closed]

This is not a question related to a certain topic in mathematics, but more a question about studying mathematics generally. (please forgive me if my vocabulary isn't appropiate, I'm not a native ...
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### Text for honors college algebra and trigonometry

I am looking for suggestions on algebra and trigonometry for students who are interested in majoring in mathematics. So typical texts written for average freshman who is forced to take math as a core ...
283 views

### How exactly does Mathematics help me becoming more intelligent (at least, in high school)? [closed]

[Please reditect me to a different site/sub-site/pretty-much-any-relevent-place if I've posted the question in the wrong forum, please do not downvote before attempting to redirect me to the adequate ...
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### Technical Language Usage: Verb for an Equivalence Relationship “Forgetting” an Attribute that is “Modded Away”

This question is one of English usage, but I'm sure only mathematicians can answer it for me. I want to say in a technical report that an attribute is "ignored" or "forgotten" by an equivalence ...
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### subtraction method

I have studied long ago different method for subtracting two numbers, for instance the borrow method or the Austrian method (I hope I am using the right names; I am not an english native speaker and ...
### Switch from $a\cdot \sin(t) + b \cdot \cos(t)$ to $c \cdot \cos(t+f)$ [closed]
How could I switch from $a\cdot \sin(t) + b \cdot \cos(t)$ to $c \cdot \cos(t+f)$? Thank you for your time.