# 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.

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### Self-Teaching: Is Geometry the Nexus of all Mathematics?

Necessary prologue: I'd really like to become more fluent in the language of mathematics. I don't have a schedule that permits me taking a class and any on-line tutors that I find seem relatively ...
423 views

### Should the domain of a function be inferred?

It is a common practice to have students of elementary algebra infer the domain of a function as an exercise. I believe this is contrary to the spirit of the definition of a function as a collection ...
29k views

### How to study for analysis?

I am currently a first year undergraduate majoring in mathematics. I'm taking an introductory analysis course and find it very hard compared to other math couses. I know that the topics covered in the ...
455 views

### Is it ever really Pi Time?

Walking with my son at 3:14pm the other day, I mentioned to him, "Hey, it's Pi Time". My son knows 35 digits of $\pi$ (don't ask), and knows that it's transcendental. He replied, "is it exactly $\pi$...
1k views

### List of topics for a 'Quantitative Reasoning' Course

I am planning to develop a course which I tentatively call as 'Quantitative Reasoning'. The goal of the course is to equip a typical undergraduate student with sound quantitative reasoning skills so ...
12k views

### What is your favorite application of the Pigeonhole Principle?

The pigeonhole principle states that if $n$ items are put into $m$ "pigeonholes" with $n > m$, then at least one pigeonhole must contain more than one item. I'd like to see your favorite ...
28k views

### Mathematical equivalent of Feynman's Lectures on Physics?

I'm slowly reading through Feynman's Lectures on Physics and I find myself wondering, is there an analogous book (or books) for math?
2k views

### Simpson's Rule and other Newton-Cotes Formulas

I am curious about the value of Simpson's rule (also called the parabolic rule or the 3-point rule) for approximating integrals. The calculus text I am now teaching from uses this rule any time an ...
6k views

### What to self-study, after studying AP Calculus BC and finishing Rudin's Principles of Mathematical Analysis?

I am a senior in high school who has taught myself Calculus BC and I got a 5. However, I have taken all the math I can at my school. I also taught myself multi-variable calculus and much of ...
88 views

### histogram of data

may be this very easy. because of lack of maths skills I'm posting this. ...
15k views

### What is the importance of Calculus in today's Mathematics?

For engineering (e. g. electrical engineering) and physics, Calculus is important. But for a future mathematician, is the classical approach to Calculus still important? What is normally taught, as a ...
867 views

### Why is $\frac{1}{\infty } \approx 0$ and $\frac{1}{0} = {\infty}$?

First I have checked the search option but found nothing relevant to my problem and also level of math. I just started learning the language of mathematics, on my own and I have trouble understanding ...
398 views

### preparation for calculus [closed]

What are the differences in the level and kind of preparedness for calculus typically found in students beginning a calculus course at a university in the USA today, and those beginning such a course ...
464 views

### Does this class of cipher have a name? What weaknesses does it have?

Some Background In October I have been asked by the school I teach at to organise and lead 'a hands-on cryptography session' for a bright group of 13 year olds to follow a talk on Enigma by an ...
3k views

### Differences among James Stewarts's *Calculus* and *Calculus: Concepts and Context*?

Can anyone summarize the differences between James Stewart's Calculus and Calculus: Concepts and Context? They appear nearly identical, though slightly arranged versions of exactly the same material,...
10k views

### Bridging any “gaps” between AP Calculus and College/Univ level Calculus II

I've been asked to tutor a soon-to-be college freshman who has taken AP Calculus and successfully earned college credit for first semester calculus. He has been admitted to an Engineering program, ...
2k views

### I want to learn math! What should I read to advance my skill?

I am going to 10th grade now. My school deals with electrotechnics and computers (programming, hardware etc.) I was always good at math but not quite interested. Lately math became my obsession! Now ...
6k views

### Experiences with Rudin?

So I am trying to tutor a friend in analysis. This is her first time with proofs. We are on chapter 2 – the topology chapter – of Rudin's Principles of Mathematical Analysis and ...
257 views

### online classes for math masters pre reqs

I'm currently getting my masters in video game development and next year want to start on my math masters. Some of the pre-reqs I need to still take are calc 3 and linear algebra, does anyone know of ...
5k views

### Definition of definition

I was wondering if there is a good way to "define" what definition means exactly in mathematics. Since the answers may be subjective or philosophical, I want to ask only for references on this topic. ...
7k views

### Motivating linear algebra for economics students?

I'm a tutor for the introductory linear algebra course at my school; this course is required for most upper division economics classes, so a lot of my tutees are economics majors. This is a typical ...
9k views

### Teaching Introductory Real Analysis

I am currently helping teach an introduction to real analysis course at UC Berkeley. The textbook we are using in Rudin's "Principles of Mathematical Analysis" (aka baby rudin). I am trying to find ...
2k views

### What's wrong with me? [closed]

Over the past few days I have been pondering about this: I enjoy technical things (like programming and stuff) and try to find the patterns and algorithms in everything. My life is number oriented. I'...
320 views

### How to Create a Lesson Plan with Wolfram Alpha

This will be my first post in this forum. I am so excited to see a lot of interesting posting from the community. From the FAQ, I learned that Mathematics stack exchange discussed about mathematical ...
467 views

### Mathematics necessary for a Master's degree in CS

I'm contemplating doing a Master's degree in Computer Science at night school. What sort of mathematics am I likely to encounter?
295 views

### Enlightening misunderstandings of test questions

What enlightening misunderstandings of test questions have you encountered? Of course, there are jokes about this, such as literal (graphic) “expansion” of the power of a binomial, but I am asking ...
3k views

### Examples of results failing in higher dimensions

A number of economists do not appreciate rigor in their usage of mathematics and I find it very discouraging. One of the examples of rigor-lacking approach are proofs done via graphs or pictures ...
133 views

### A good training field for formal rule application?

I'm tutoring a would-be Russian 7-grader who seems to have difficulties in understanding and application of formal rules (identities). I'm looking for a way to improve it, but I don't want him to try ...
412 views

### Study program for algebra for an math-phobic person

I have a female friend (Mid 20's) who wants to get an associates degree, who has an absolute phobia of math, and algebra in particular. I'm trying to find a good program that can help her to study ...
1k views

### Distance from a point to a line in vector geometry - real world applications?

In vector geometry it is a standard example how to calculate the distance between a point and a line in space. However are there any interesting real world applications of this. I.e. where one wants ...
24k views

### practical uses of matrix multiplication

The use of matrix multiplication is usually given with graphics initially (scalings, translations, rotations, etc). Then there are more in-depth examples such as counting the number of walks between ...
2k views

### What are some good math study methods for a high school sophomore?

First, I'm not trying to make this sound like a "poor-me" story. I understand fully that every decision I've made leading to this is my fault. I am genuinely looking for advice. So, I am a high ...
1k views

### Which of these courses to take if one intends to go to grad school in pure math (rank please) [closed]

could you rank these classes in terms of necessity to take if I intend to pursue a Ph.D in pure math? I don't know if I can fit everything, but I want to make sure I take the most important ones: ...
313 views

### Web 2.0 and mathematics for high school students

First of all, if this is not the right place to ask, I am sorry and just close this topic. I'm trying to introduce Web 2.0 into my Math class for teenagers in the range of 12-16 years old. I've ...
405 views

### Links to interesting metaphors for problematic aspects of mathematics education

Can you give references to articles/books that contain interesting metaphors for what is wrong in mathematics education from the point of view of mathematicians? An example for what I am searching: ...
13k views

### How to effectively study math? [closed]

Maybe this is too general for here, but I am having a lot of difficulty studying math. Just got out of the military and I guess I am not use to this yet but when I run into a problem I have trouble ...
2k views

### Need a result of Euler that is simple enough for a child to understand

Talking to my 8 yr old about "the greatest mathematician of all time", I said it was probably Gauss in my opinion, but that Gauss was not very kind to his kids (for example, forbidding them to go into ...
222 views

### Interesting non-stem questions about Koch/Sierpinski fractals

Exam time and I am having a hard time finding any inspiring questions about fractals for our "contemporary math" course. We found the perimeter and area of various Koch snowflakes and Sierpinski ...
5k views

### What are good resources to self-teach mathematics?

I am teaching myself mathematics using textbooks and I'm currently studying the UK a-level syllabus (I think in the USA this is equivalent to pre-college algebra & calculus). Two resources I have ...
356k views

### How many sides does a circle have?

My son is in 2nd grade. His math teacher gave the class a quiz, and one question was this: If a triangle has 3 sides, and a rectangle has 4 sides, how many sides does a circle have? My first ...
2k views

### List of mathematical Summer schools (particulary in Europe)

I would like to apply for a summer school. Particulary it should take place in Europe and center on the topic numerical analysis. Is there something like a comprehensive list of summer schools?
6k views

### Would it be fine to use Serge Lang's two Calculus books as textbooks for freshman as Maths major? [closed]

I'm a freshman in Maths major, but the recommanded textbook(Calculus:A Complete Course by Robert A. Adams) by Prof. of Calculus course is too much expensive, well, I found there're Serge Lang's two ...
445 views

### Share my maths video on the internet [closed]

I make some videos of math courses on the internet and some of them are in English. I want to find some where to upload it. Who can help me with this issue? I only know about Youtube, but that is ...
1k views

### Is there any way to read articles without subscription? [closed]

This is not mathematician question but I think it's related. How I can get access to some of "Software: Practice and Experience" articles without subscription? Any advice is welcome. Sorry if I'm ...
652 views

### Mathematics Style Guide - l vs 1 vs |

I had a quick look around here and google before, and didn't find any answer to this particular question, and it's beginning to really irritate me now, so I'm asking here: How is one supposed to ...
851 views

### Mathematical misconceptions and how to combat them

There are a lot of common misconceptions when it comes to math. A common one that has already been addressed on this site is $1 \neq .999\cdots$, as is that imaginary numbers "do not exist". Another ...
13k views

### Best software to take math notes?

I have read some old discussions about this topic and would like to get some up-to-date advice, if possible. How can I take math notes, write formulas and draw graphs on my pc (win 7), the easiest ...
4k views

### Is Lagrange's theorem the most basic result in finite group theory?

Motivated by this question, can one prove that the order of an element in a finite group divides the order of the group without using Lagrange's theorem? (Or, equivalently, that the order of the group ...