All Questions

Filter by
Sorted by
Tagged with
-2
votes
1answer
38 views

How to start tackling a 200 page big script? [closed]

I am really not sure how to tackle a 200 page huge script with a lot of information about the topic linear algebra. Writing down the definitions would not make sense in my opinion, because if I want ...
2
votes
1answer
52 views

Are there any online question bank of mathematics questions?

I know Dr. Martin Greenhow and his team of Brunel University London have developed online questions and I have used some of these at the following url: http://maths-for-all.co.uk/engineering-...
-4
votes
0answers
27 views

Maxima and minima [closed]

Kindly ,try to make me understand this question. This is single choice question.
2
votes
0answers
44 views

IMO selection process in Pakistan

I have been searching for the International Math Olympiad(IMO) qualification process in Pakistan and I found out that students take the NMTC(National Mathematics Talent Contest) paper which to get ...
4
votes
2answers
83 views

How to define “axes with the same scale” in Secondary/High School?

It's easy to recognize visually when an orthogonal coordinate system has its axes in the same scale. See, for instance, the following image. But I'm trying to write down a precise definition of it. ...
10
votes
11answers
4k views

Ideas for explaining 4D and higher dimensions

I introduced the hypercube (to undergraduate students in the U.S.) in the context of generalizations of the Platonic solids, explained its structure, showed it rotating. I mentioned Alicia Stott, who ...
-1
votes
0answers
47 views

How to motivate the function of normal distribution from the central limit theorem? [closed]

I would like to motivate the functional form of the normal distribution by expressing it as the fixed point of an averaging operation. In effect, it is that density which results when any density is ...
23
votes
9answers
3k views

What is the best way to intuitively explain the relationship between the derivative and the integral?

This is my first post so bear with me, but something I've been thinking about lately is: Why didn't I ever question the relationship between the derivative and the integral when I was taking calculus? ...
3
votes
0answers
65 views

Online testing platform

What are good and free online testing platforms for mathematics? Is there any who can easily display math formulas? Any allowing LaTeX code? Apparently the only way to insert formulas in Google Forms ...
2
votes
1answer
133 views

The spatial thinking course for primary school - what to use?

We're planning to run the project for first two grades of the elementary school kids, in which we want to facilitate the spatial thinking development along with the regular arithmetic course and make ...
9
votes
4answers
3k views

The Future of Worksheets - will they still be used or abandoned?

I run a German website for mathematics education. We produce lessons, each of which contains various kinds of media, such as an introduction, videos, wikis, software, worksheets, and online tests. We ...
-1
votes
0answers
87 views

Should teaching how to write a formal proof be a part of a standard mathematics education? [closed]

There is good reason for teaching how to write a formal proof as part of a standard mathematics education. Mathematicians think that the logic of the proofs they write is completely obvious, but our ...
3
votes
3answers
856 views

How much does it cost to develop an online course?

Due to the coronavirus outbreak, and other local problems, we are seeing the need of developing most of our teaching online. Just "do a class like always" (but with no blackboard) via some network ...
5
votes
1answer
85 views

help thinking of conceptual or open-ended Intro Algebra and Intermediate Algebra test questions

Like many other math teachers, I am teaching remotely in Spring term. I teach Math 60 (Intro Algebra) and Math 95 (Intermediate Algebra) at a community college. In the age of math solving technology ...
2
votes
0answers
73 views

Tools for Mathematical presentation [duplicate]

I would like to teach math online I'm wondering what is the tools for mathematical presentation. For example, I tired Powerpoint with MathType but with no luck Beamer for mathematical presentation ...
5
votes
2answers
146 views

A Question about Theodore Frankel's “The Geometry of Physics”

Locked up in my self-distancing isolation in NYC, I'm reminded of how much I really like Frankel's book, which contains a wealth of beautiful geometry and topology from the standpoint of a ...
9
votes
2answers
143 views

Math circles while under quarantine

I suspect I'm not the only one here who finds himself with a dormant math circle due to quarantine. I'm interested in two kinds of suggestions regarding this situation: suggestions for running a ...
6
votes
1answer
144 views

How to conduct online testing for Calculus?

Due to COVID-19, I have been planning to transition to online teaching (which, of course, includes online testing as well). The LMS that we use is Blackboard which is integrated with Proctorio. ...
1
vote
2answers
95 views

Topics for undergraduate seminar for mathematics educators

There are some general questions about potential topics for undergraduate seminars: topics for an undergraduate Math seminar Undergraduate Math Seminar topic I am looking for topics for a 15-hour ...
4
votes
2answers
124 views

Is evaluating a Real Polynomial at a Complex Value a suitable task for Precalculus students?

In Korea, basically every teaching material for 10th grade math(about the level of precalculus) contains this kind of exercises in their first treatment of complex numbers: Evaluate $f(x)=4x^4-8x^3+...
2
votes
2answers
123 views

Should we stop using traditional compass in schools & start/encourage adopting compasses like “Slide N Measure” or “Safe-T” compasses instead?

I think using the traditional compass with those styluses that can literally be used to hurt or accidentally hurt someone are very dangerous. Most people don't use these in day-to-day life anyways, ...
2
votes
3answers
175 views

How to evaluate students in a “do all you can” exercise?

Imagine a math problem that consists in doing all sum operations you can in 2 minutes. And then imagine these are the correct operations each student has done (each list entry represents a different ...
7
votes
6answers
261 views

Most popular setups for recording video lectures

This is similar to another question about teaching online, but I want to focus on something specific: what are the most popular setups for recording math video lectures? What's the easiest and best ...
6
votes
0answers
119 views

Tablet whiteboard app w e-pencil

(I've generalized the original question as @BrendanW.Sullivan suggests.) I would appreciate recommendations for a whiteboard app for a tablet using an e-pencil. For me: an iPad, using an Apple pencil....
2
votes
1answer
81 views

Mental/“Paper and Pencil” Arithmetic

Recently, I was watching this video and I began thinking about how much my arithmetic skills have declined in recent years due to over reliance of calculators in upper year (high school) math courses. ...
24
votes
4answers
6k views

How does a teacher come up with plausible wrong answers for multiple choice tests?

When taking a MOOC in calculus the exercises contain 5 options to select from. I then solve the question and select the option that matches my answer. Obviously only one of the options is correct. But ...
1
vote
0answers
42 views

Best resources for probability/statistics textbooks

I'm looking for a good textbook introduction to probability/statistics that a first/second year undergrad math student could use! I'd like a book that emphasizes theory over procedure. I'd prefer an ...
59
votes
16answers
6k views

How shall we teach math online?

Many universities, including mine, are now requiring we teach our courses online because corona. How shall we do this? Let’s brainstorm here. The challenges: My school provides limited online ...
12
votes
1answer
391 views

Online Whiteboard Application with Simple Latex Support

Like a lot of people, my school is in the position of having to move their courses online. Does anyone know a good whiteboard app that allows simple latex entry? The closest I've been able to find is ...
2
votes
4answers
179 views

Proof that convergent Taylor Series converge to actual value of function

Taylor series (or Maclaurin Series) are the only way to get values for some functions, such as $$\operatorname{erf}(x)=\frac{2}{\sqrt{\pi}}\int_0^x e^{t^2} dt = \frac{2}{\sqrt{\pi}}\sum_{n=0}^{\infty}...
3
votes
2answers
133 views

How to motivate my ten year old math student

I work as a private math tutor. I have a student, she is 10 years old. Her mother has asked me to provide assistance in preparation for the admission process to the eight-year high school. My ...
-3
votes
1answer
46 views

Find the Net profit of the three year [closed]

A man opened a shop with initial investment of $ \$ 40,000 $ ,in the first year ,he got a loss of $5\%$.however during the second year ,he earned a profit of $10\%$ and in third year $\displaystyle\...
7
votes
4answers
194 views

A fun, one-day topic for a vector analysis course

I am currently teaching a course in "vector analysis", following Colley's book. So far we have reviewed multivariable calculus (a prereq for the course), and discussed: the derivative in general; ...
11
votes
2answers
141 views

2D drawings of 3D objects in printed school textbooks: orthogonal or perspective?

There is a tradition in the use of orthogonal projections to represent 3D objects in printed school math textbooks. On the other hand, perspective projections represent better the way as we "see" real ...
2
votes
2answers
171 views

How actually are prime numbers taught in elementary school in United States and how easily do students learn what they're being taught about them?

I read the question https://math.stackexchange.com/questions/1593091/how-to-explain-why-study-prime-numbers-to-5th-graders and according to the body of the question, some students sigh. Also according ...
3
votes
1answer
119 views

What would you recommend for the math thinking course for school?

We're going to make a new math course for kids as intermediary between middle and high school with math profile (for preparation to entrance exams to high school), and before the main part (arithmetic,...
5
votes
4answers
167 views

About the effectiveness of self-studying maths (compared with other subjects)

An important feature of mathematics is that it is relatively easy (compare to many other subjects) to know whether or not one's understanding is correct. There are plenty of ways to check: one can ...
15
votes
4answers
265 views

Should we stop teaching “interchange $x$ and $y$” when finding the inverse function?

In one textbook I use for College Algebra, the author teaches that one should interchange $x$ and $y$ when looking for inverse functions. For example, the inverse function of $$y=2x+2$$ is $$y=0.5x-1.$...
6
votes
1answer
90 views

Data on textbook adoptions in universities (math/science)

Does anybody know if there is a website/database/... on textbooks adoption in the US or some other country? (math/science textbooks) It would be interesting to see which textbooks are (and have been) ...
4
votes
0answers
99 views

How to explain the “less than yearly compounded interest” concept?

What difficulties can be met while teaching the "less than yearly compounded interest" concept? Based on my own (learning) experience, an objection arose when I was presented with the formula: $$A ...
7
votes
3answers
172 views

Evaluating textbooks in math and physics

I’m currently interested in textbooks, especially the ones in math and physics that are used at the high school, undergraduate and graduate levels and, given the experience of the people on this ...
6
votes
5answers
2k views

What are strategies for teaching that the altitude of a right triangle creates two similar triangles?

If you draw the altitude to the right triangle as shown, it is easily seen that $$\triangle KLM\sim\triangle KNL\sim\triangle LNM.$$ This in turn leads to several interesting proportional relations ...
4
votes
3answers
219 views

Students writing $f(x^2+1)$ when they probably mean $f(x)=x^2+1$

Over the past years teaching freshmen calculus I've repeatedly seen students make the following type of error: Suppose they have to express some quantity $y$ as function of $x$, when the relation ...
7
votes
4answers
426 views

How should I convince a student who proved $1=-1$

One of my high school students who has ZERO knowledge on complex numbers and the modulus function has showed me the following algebra: $$(16)^{\frac{1}{2}}=(16)^{\frac{2}{4}}=((16)^2)^{\frac{1}{4}}=...
6
votes
1answer
138 views

Let P be a polygon

I've encountered the following misunderstanding. I pose a question (to undergraduates in the U.S.), for example: Let $P$ be a polygon of $n$ vertices. Is it true that every triangulation of $P$ ...
2
votes
1answer
109 views

Teaching Quantifiers Before Logical Connectives

In this short question, I would like to ask whether it is possibly good to teach quantifier before logical connectives in a logic introduction lecture? I know there is a relationship between them but ...
11
votes
2answers
142 views

Confusing verbal descriptions of function transformations

While teaching Function Transformations, I found the verbal descriptions of stretch and squeeze really confusing. So for $y = f(x)$, $y = 2f(x)$ is said to stretch $f(x)$ vertically by a factor of $...
0
votes
2answers
120 views

I find high school math very hard compared to middle school? [closed]

i hope i can get some help on how to get better at high school maths i find them very difficult compared to middle school. Whats the big difference so i can work on it ?
0
votes
1answer
103 views

Making epsilon-delta proofs not just precalculus

In trying to find lecture-length videos of epsilon-delta proofs, I've found that almost all of them just start with the definition and then work through the algebra to get the answer. In effect, it ...
4
votes
4answers
180 views

Has the equation $\log(x-10)=3+\log(x-3)$ a *substitutable* solution in $\mathbb{R}$?

Could we say it has one when substituting the $x$ value into the original equation? Obviously, to solve the trascendental equation one has to operate the two terms with logarithms, reducing the ...

15 30 50 per page
1
2 3 4 5
54